Jim rented a truck for one day. There was a base fee of 15.99 and there was an additional charge of 86 cents for each mile driven. Jim had to pay 206.91 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer 1

The required, Jim can drive the truck for approximately 221.51 miles.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

We can use algebra to solve this problem. Let x be the number of miles Jim drove the truck. Then the total cost can be represented as:

15.99 + 0.86x = 206.91

To find the number of miles driven, we can subtract the base fee from both sides of the equation:

15.99 + 0.86x - 15.99 = 206.91 - 15.99

0.86x = 190.92

Finally, we can divide both sides of the equation by 0.86 to find x:

x = 221.51 miles

So, Jim drove the truck for approximately 221.51 miles.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ9


Related Questions

The hypotenuse of a right triangle measures 13 cm and one of its legs measures 1
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

The length of other leg is 12.96 cm.

What is Pythagoras theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

Given:

H= 13 cm

P = 1 cm

Using Pythagorean theorem

H² = P² + B²

13² = 1² + B²

169 = 1 + B²

168 = B²

B= √168

B = 12.96 cm

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ9

Which of the following statements are true. Will make best answer brainliest. 30 points

Answers

Answer:

ac and bd

Step-by-step explanation:

iii I will get it on Monday or tomorrow if possible so we will have it done and done so that you will get the information you needed and you are going for it on a day 5o and you have to be my mom when I come back home and you are going out to the

What is 11 in Binary?

Answers

The binary representation of 11 is 1011. To convert decimal to binary, divide the decimal number by 2, taking the remainder at each step and concatenating the remainders in reverse order.

To convert decimal (base 10) to binary (base 2), you can divide the decimal number by 2, repeatedly taking the remainder at each step. The binary representation is obtained by concatenating the remainders in reverse order.

Here's how the conversion works for 11:

11 divided by 2 gives a quotient of 5 and a remainder of 1.

5 divided by 2 gives a quotient of 2 and a remainder of 1.

2 divided by 2 gives a quotient of 1 and a remainder of 0.

1 divided by 2 gives a quotient of 0 and a remainder of 1.

Reading the remainders in reverse order (from the last division to the first), we get 1011, which is the binary representation of 11.

Learn more about binaries here: brainly.com/question/30426961

#SPJ4

Solve for x In the triangle. Round your answer to the nearest tenth.
47°
X =

Answers

Answer:

x=5.4

Step-by-step explanation:from TOAtan47°=x/5

to find x;

cross multiply

x=5tan47°

x=5×(1.07236871002)

x=(5.36184355012)

to the nearest tenth

x=5.4

How many pages is 3,000 words?

Answers

In Single spaced pages 3000 words will be in 6 pages and in Double Spaced pages 3000 words will be in 12 pages.

3,000 words equates to approximately 6 single-spaced A4 pages and 12 double-spaced A4 pages. This assumes normal 1 - inch margins and standard fonts such as Times New Roman or Arial at 12 pt.

Adjusting certain settings in a text editor or using other layout software can greatly affect the appearance of your final text. Many journal articles are around 3,000 words in length, as are student essays and lengthy blog posts. You may also be interested in the fact that adults can read about 3,000 words in 10 minutes.

3000 words in Single spaced Pages:

3000 words is 6 pages. A standard single-spaced page contains 500 words.

3000 words in Double Spaced page:

3000 double spaced words make up 12 pages. Teachers may ask you to double-space your essay to make it easier to read and add comments/reviews. A standard double-spaced page contains 250 words.

Learn more about Pages:

https://brainly.com/question/24032211

#SPJ4

Show how you get each answer (show work) on number 1 and 2 (Lesson 2.05)

What is the measurement of ∠1 if g∥h? (2pts) (this one does not need work shown


What is the measurement of ∠3 if g∥h? (2pts) need work shown

please help

Answers

The measure of the angle ∠1 and ∠3 is 90°

What are lines and angles?

The lines are the collection of collinear points arranged in a straight path. Types of lines can be a ray, segment, etc. The angle is the space between the two intersecting lines calculated in degrees.

Since g and h are parallel lines cut by the transversal i, we know that alternate interior angles are congruent. Therefore, the measurement of ∠1 is equal to the measurement of ∠3. We do not need to show any work to answer this question.

Since g and h are parallel lines cut by the transversal j, we can see that ∠3 and ∠5 are corresponding angles, and ∠5 and ∠6 are vertical angles. Therefore, ∠3 and ∠6 are congruent. Since ∠3 and ∠6 forms a linear pair, their sum is 180 degrees. Thus, we can set up an equation:

∠3 + ∠6 = 180

Substituting ∠6 for ∠3, we get:

∠3 + ∠3 = 180

Simplifying, we get:

2∠3 = 180

Dividing both sides by 2, we get:

∠3 = 90°

Therefore, the measurement of ∠3 is 90 degrees.

To know more about lines and angles follow

https://brainly.com/question/25770607

#SPJ1

1000000000000000000000000000

Step-by-step explanation:

are u also MS hitsman?

In a right triangle, the length of one leg is 4 units. The length of the other leg is 10 units. What is the length of the hypotenuse? A. B. C. D.

Answers

I believe you have to use the Pythagorean Theorem. Which is a^2+b^2=c^2. Let’s say that 4=a, b=10, and c=hypotenuse(h)=x. We can use that information and plug it in. 4^2+10^2=x^2 = 16+100=x^2 = 116=x^2, then you find the square root of 116. You can simplify the square roof of 116 to 2 times the quads root of 29 if you wanted to keep it in radical form, or you could round to the nearest tenth for 10.8

The following points represent a relation where x represents the independent variable and y represents the dependent variable.


Does the relation represent a function? Explain.

Yes, because for each output there is exactly one input
Yes, because for each input there is exactly one output
No, because for each output there is not exactly one input
No, because for each input there is not exactly one output

Answers

Answer:

No, because for each input there is not exactly one output

Step-by-step explanation:

Each input, x-coordinate, must have one and only one output (y-coordinate) to be a function.

Since 3/4 is used as an x-coordinate twice, the input 3/4 has two different outputs, -2 and -1/2. That means this relation is not a function.

Answer: No, because for each input there is not exactly one output

Answer: is A

Step-by-step explanation:

From the diagram below, if AC = 27, CD = 9, and DB = 3, then what would be the length of AB?

Answers

As a result of answering the question, we may state that triangle  Because of this, AB is longer than 33. But since we don't know the precise angle at B, we can't be positive of its length.

What precisely is a triangle?

Since a triangle has four or so more sections, it is a polygon. It has an easy rectangular form. Triangle ABC refers to a rectangle with edges A, B, and C. A single plane and cube are produced by Euclidean geometry when the sides are really not collinear. A triangle is a polygon if it has 3 components and three angles. Where a triangle's three edges come together are known as the corners. A triangle's sides add up to 180 degrees.

A+B plus D > A (1)

Applying this to triangle ADC, we get the following:

A + C > A (2)

AC equals 27, CD equals 9, and BD equals 3. Equation (2) may be used to determine AD:

[tex]A + C > A\\27 + 9 > AD\\36 > AD[/tex]

So, we are aware that AD is lower than 36. We may now find AB using equation (1):

[tex]A+B plus D > A\\AB + 3 > AD\\AB + 3 > 36\\AB > 33[/tex]

Because of this, AB is longer than 33. But since we don't know the precise angle at B, we can't be positive of its length.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Half of the sum of two numbers is 12, while one-fourth of their products is 35. Find the numbers

Answers

Answer:

The sum of two numbers = 12

x+y=12

product of two numbers = 35

xy=35

The sum of reciprocals =  x

1

+

y

1

=

xy

x+y

=

35

12

Step-by-step explanation:

Answer: 10 and 14.

Step-by-step explanation:

Let the numbers be x and y.

Make and solve a system of equations:

[tex]\displaystyle\\\left \{ {{\frac{x+y}{2}=12\ \ \ \ (1) } \atop {\frac{1}{4}xy=35\ \ \ \ (2) }} \right. \\\\\\[/tex]

Multiply equation (1) by 2 and equation (2) by 4:

[tex]\displaystyle\\\left \{ {{x+y=24} \atop {xy=140}} \right. \\\\\\\left \{ {{x=24-y} \atop {(24-y)*y=140\right.\\\\\\\left \{ {{x=24-y} \atop {24y-y^2=140}} \right. \\\\\\\left \{ {{x=24-y} \atop {-y^2+24y-140=0\ \ \ \ (3)}} \right.[/tex]

Multiply equation (1) by (-1):

[tex]y^2-24x+140=0\\\\y^2-10x-14x+140=0\\\\y(y-10)-14(y-10)=0\\\\(y-10)(y-14)=0\\\\y-10=0\\\\y=10.\ \ \ \ \Rightarrow\\\\x=24-10\\\\x=14\\\\y-14=0\\\\y=14.\ \ \ \ \Rightarrow\\\\x=24-14\\\\x=10.[/tex]

2. Find the length of the hypotenuse.
45°
3√2

Answers

The triangle is an isosceles right-angle triangle. Then the hypotenuse of the triangle will be 3 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The measure of one angle of right-angle is 45°. Then the right triangle is an isosceles right-angle triangle.

Then the hypotenuse is given by the sine of angle 45°. Then the equation is given as,

sin 45° = 3√2 / H

1/√2 = 3√2 / H

H = 3√2 x (1 / √2)

H = 3 units

The triangle is an isosceles right-angle triangle. Then the hypotenuse of the triangle will be 3 units.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ9

What is the lateral surface area of the triangular prism shown below?


Responses

40 cm2

150 cm 2

170 cm2


170 cm 2,

190 cm

Answers

The lateral surface area of the triangular prism shown below is C.170 cm².

How can the lateral surface area of the triangular prismbe calculated?

The concept that will be used here is triangular prism breakdown and calculation.

We can break down the triangular prism  so as to make it simpler as :

We have (2 triangles) as well as ( 2 side rectangles) and (1 back rectangle)

We can calculate the area of triangle  as ( ¹/₂ * base * height)

= (¹/₂ * 5 * 4)

=10cm

We can calculate the area of rectangle as ( length * width)

=(10 * 5)

=50

Then the Area of trapezoid = 2(10) + 3(50)

=20 + 150

= 170 cm²

Therefore, option C is correct.

Learn more about triangular prism at:

https://brainly.com/question/30501511

#SPJ1

the bill fir dinner at a retuaruarnt was $81.75 A sales tax for 7.5% was first added to the bill and then an 18% gratuity will br added

Answers

The total amount of the bill is $102.59625.

What is Percentage?

Percentage is defined as the parts of a number per fraction of 100 or a part per 100.

Percentage is usually denoted by the symbol '%'.

We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Given that,

Amount of bill for a restaurant = $81.75

Percentage of sales tax = 7.5%

Amount of sales tax = 7.5% of $81.75

                                 = 7.5% × 81.75

                                 = 0.075 × 81.75

                                 = $6.13125

Percentage of gratuity = 18%

Amount of gratuity = 18% of $81.75

                               = 18% × 81.75

                               = 0.18 × 81.75

                               = $14.715

Total amount in the bill = $81.75 + $6.13125 + $14.715

                                       = $102.59625

Hence the total bill from the restaurant is $102.59625.

Learn more about Percentage here :

https://brainly.com/question/29306119

#SPJ9

2
Ling's savings account increases by 1% every month from interest. He
deposits x dollars into his account. Select all of the expressions that
represent the amount of money in his account after the interest is paid for
the third month. 7.EE2
x(125)(125)(125)
x(10025)(10025)(10025)
(1.25)³x
3(10025)x)
x(1+0.25)(1+0.25)(1+0.25)
(10025)
x(0.0025)(0.0025)(0.0025)
(1+0.0025)(x)(1+0.0025)(1+0.0025) 3(1.25)(x)

Answers

After the third year, the amount in his account would be -

A{3} = $(125x/64).

What is interest?

Interest is calculated as a percent of the principal.

Given is that Ling's savings account increases by {1/4}% every month from interest. He deposits {x} dollars into his account.

After the first year, the amount in his account would be -

A{1} = x + x/4 = (5x/4)

A{1} = $(5x/4)                                                ... Eq { 1 }

After the second year, the amount in his account would be -

A{2} = (5x/4) + (1/4)% of (5x/4)

A{2} = 5x/4 + 5x/16

A{2} = (1/4)(5x + 5x/4)

A{2} = (1/4)(25x/4)

A{2} = $(25x/16)                                         ... Eq { 2 }

After the third year, the amount in his account would be -

A{3} = (25x/16) + (1/4) of (25x/16)

A{3} = (25x/16) + (25x/64)

A{3} = (1/16)(25x + 25x/4)

A{3} = (1/16)(125x/4)

A{3} = $(125x/64)                                 ... Eq { 3 }

Therefore, after the third year, the amount in his account would be -

A{3} = $(125x/64).

To solve more questions on percents, visit the link below

https://brainly.com/question/8265005

#SPJ9

values showing on the dice.
(a) How many sample points are possible? (Hint: use the counting rule for multiple-step experiments.)
(b) List the sample points.

Answers

a) For a single roll of a standard six-sided dice, there are 6 possible outcomes.

b) Sample points for rolling a dice twice are:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

a) If we want to find the number of sample points for multiple rolls of a dice, we use the counting rule for multiple-step experiments, which states that if an experiment consists of k steps and there are n1 possible outcomes for the first step, n2 possible outcomes for the second step, and so on, then the total number of possible outcomes for the experiment is:

n1 x n2 x ... x nk

For example, if we roll a dice twice, then there are 6 possible outcomes for the first roll and 6 possible outcomes for the second roll. Therefore, the total number of possible outcomes for rolling a dice twice is:

6 x 6 = 36

b) Here are the sample points for a single roll of a standard six-sided dice:

1, 2, 3, 4, 5, 6

Here are the sample points for rolling a dice twice:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Each sample point consists of two values, representing the outcomes of the first and second rolls, respectively. The sample points are written in parentheses and separated by commas.

Learn more about sample point here

brainly.com/question/30867288

#SPJ4

The top of a square coffee table has an area of
64x48x + 9. What is the perimeter of the
tabletop?

Answers

To find the perimeter of the tabletop, we need to know the length of each side of the square. We can use the formula for the area of a square to find this length:

Area = side^2

We are given the area of the tabletop as 64x48x + 9, so we can set up the following equation:

64x48x + 9 = side^2

Simplifying the left-hand side:

64x48x + 9 = (8x6x)^2 + 3^2

64x48x + 9 = 36^2 + 3^2

64x48x + 9 = 1296 + 9

64x48x = 1296

Dividing both sides by 64x48:

side^2 = 27

Taking the square root of both sides, we get:

side = sqrt(27)

Now we know the length of one side of the square tabletop, and since all sides are equal, the perimeter is:

Perimeter = 4 x side
Perimeter = 4 x sqrt(27)
Perimeter = 4 x 3sqrt(3)
Perimeter = 12sqrt(3)

Therefore, the perimeter of the tabletop is 12sqrt(3) units.

17/22 as a decimal rounded to the nearest hundreth

Answers

The decimal equivalent of 17/22 rounded to the nearest hundredth is 0.77. The result of dividing the quantifier by the denominator is 0.7727272727272727.

The decimal equivalent of the fraction 17/22 can be found by dividing the numerator by the denominator. To round the decimal to the nearest hundredth, we look at the third decimal place and round up or down accordingly. Step-by-step explanation:

Divide the numerator by the denominator ⇒ 17/22 = 0.7727272727272727Look at the third decimal place ⇒ 2Since the third decimal place is less than 5, we round down to the nearest hundredth ⇒ 0.77

Learn more about decimal: https://brainly.com/question/28393353

#SPJ11

the Cost of stamps depends on the number of slaves purchase because the cost why for example is represented by the equation Y equals 0.49X graph the function unit function table

Answers

Answer:

Step-by-step explanation:

I'm sorry, but I'm having trouble understanding your question. Could you please clarify what you mean by "the cost of stamps depends on the number of slaves purchase because the cost why"? It's important to provide clear and accurate information in order for me to provide a helpful response. Thank you!

0600 Mountain Daylight Time is ____ Zulu/UTC/GMT.

Answers

0600 Mountain Daylight Time is equivalent to 1200 Zulu/UTC/GMT.  

Mountain Daylight Time (MDT) is a time zone that is observed in several regions of North America during the summer months when Daylight Saving Time is in effect. It is 6 hours behind Coordinated Universal Time (UTC-6) during Daylight Saving Time.

Coordinated Universal Time (UTC) is the primary time standard by which the world regulates clocks and time. It is used in many scientific, technical, and military fields, as well as in international air traffic control.

Zulu time is a term used in aviation and military operations to refer to Coordinated Universal Time (UTC). The term "Zulu" is used because it is the letter "Z" in the NATO phonetic alphabet, and it is used to avoid confusion with other time zones during radio communication.

To convert 0600 Mountain Daylight Time to Zulu/UTC/GMT, you need to account for the time difference between Mountain Daylight Time (MDT) and Zulu/UTC/GMT.

During daylight saving time, Mountain Daylight Time is 6 hours behind Coordinated Universal Time (UTC-6). So, to convert 0600 MDT to UTC/GMT, you would need to add 6 hours.

Therefore, 0600 Mountain Daylight Time is equivalent to 1200 Zulu/UTC/GMT.

To learn more about Daylight Time:

https://brainly.com/question/14123518

#SPJ4

You are decorating a parade float for a Cinco de Mayo parade. The area of the entire parade float is 192 square feet.
What is the area covered by paper flowers?
9 ft (x+12) ft x ft 5 ft
The area covered by paper flowers is square feet.

Answers

The area covered by paper flowers is; 45 square feet.

How to find the area of the rectangle?

The formula for area of a rectangle is;

Area = Length * width

Parameters of the parade float are;

Length = 9 + x + 12 = (x + 21) ft

Width = (x + 5) ft

Since entire area is 192 sq.ft, then;

(x + 5)(x + 21) = 192

x² + 5x + 21x + 105 = 192

x² + 26x - 87 = 0

Using online quadratic equation calculator gives;

x = 3

Thus;

Length of paper flower = x + 12 = 3 + 12 = 15 ft

Width of paper flower = 3 ft

Area of paper flowers = 15 * 3 = 45 square feet.

Read more about Area of Rectangle at; https://brainly.com/question/25292087

#SPJ1

HELLO CAN U HELP ME PLEASE??

Answers

Answer:

B

Step-by-step explanation:

The rate at which she travels is called the rate of speed.

rate of speed = distance / time

r = d/t

She wants to know the time, so we solve the above equation for time.

r = d/t

rt = d

t = d/r

t = 300/r

300/r = t

Answer: B

Answer:

B. t = 300/r

Step-by-step explanation:

translate the question into math

usually

speed is shown as

kilometers per hour

RATE MEANS SPEED

translate kilometers per hour

kilometers = 300 km

per= /

hour = t

speed = 300 km/t

SPEED MEANS RATE

rate = r

r = 300 km/t or 300/t

r = 300/t

t = 300/r

note: rate or speed can be gotten by

SLOPE of line in a graph  

HYPOTENUSE of a triangle from a slope of a line in a graph

DERIVATIVE which is a slope of curve in a graph

what is the answer to this

Answers

Answer:

y=13 x=16 i think

Step-by-step explanation:

The scale on a map is 5 centimeters = 75 kilometers. Two lakes on the map are located 8.1 cm apart. What is the actual distance between the two lakes?

Answers

We know that 5 centimeters on the map corresponds to 75 kilometers in real life. Therefore, we can set up a proportion to find out how many kilometers 1 centimeter on the map corresponds to:

5 cm / 75 km = 1 cm / x km

Cross-multiplying, we get:

5x = 75

Dividing both sides by 5, we get:

x = 15

So, 1 centimeter on the map corresponds to 15 kilometers in real life.

Now, we can use this information to find the actual distance between the two lakes. We know that they are located 8.1 cm apart on the map, so:

8.1 cm * 15 km/cm = 121.5 km

Therefore, the actual distance between the two lakes is 121.5 kilometers.

Answer:

If 5 centimeters on the map represent 75 kilometers in the real world, then we can use proportion to find the actual distance between the two lakes.

Let x be the actual distance between the two lakes in kilometers. Then we can set up the following proportion:

5 cm / 75 km = 8.1 cm / x km

To solve for x, we can cross-multiply:

5 cm * x km = 75 km * 8.1 cm

Simplifying:

5x = 607.5

x = 121.5 km

Therefore, the actual distance between the two lakes is 121.5 kilometers.

a tent that usually sells for $220 is on sale for 15% off what is the sale price

Answers

Answer:

Step-by-step explanation:

$220.00x .15 = $187.00

Please answer this asap

Answers

Answer: F = 4

Step-by-step explanation:

Juts plug in the numbers that you know so you should have   (5*20)/(5^2)

That is equal to 100/25 which is the same as 4. Therefore, F = 4

what is 148lb to kg ?

Answers

Using the conversion formula of converting pounds to kilograms, we get that 148 lb is 67.131478 kilograms

To convert 148 pounds (lb) to kilograms (kg), we need to use the conversion factor 1 lb = 0.45359237 kg.

So, we can multiply 148 lb by 0.45359237 kg/lb to get the equivalent weight in kilograms:

148 lb x 0.45359237 kg/lb = 67.131478 kg

Therefore, 148 lb is equal to 67.131478 kg.

To understand the conversion factor, we need to know that pounds and kilograms are both units of mass, but they are used in different parts of the world. In the United States and some other countries, pounds are the common unit of mass, while in most other countries, kilograms are used. The conversion factor relates the number of pounds to the number of kilograms, so that we can easily convert from one unit to the other. It is important to use the correct conversion factor to ensure accurate conversions.

To learn more about conversion formula click here

brainly.com/question/30065592

#SPJ4

Function A and Function B are linear functions.
Function A
x y
–4 –21
–2 -11
4 19
Function B
y=x+1
which statement is true?
The slope of function a is greater than the slope of function b
the slope of function a is less than the slope of function b

Answers

The statement that is true is: The slope of function A is greater than the slope of function B.

What is the Slope of a Function?

The slope of a function is a measure of how steeply the function increases or decreases as the input value (x) changes. It is defined as the rate of change of the output value (y) with respect to the input value (x).

Using two points form the table of Function A, (-2, -11) and (4, 19):

Slope (m) = change in y / change in x = (-11 - 19) / (-2 - 4)

= -5

Given Function B as y = x + 1, the slope is m = 1.

Therefore, we can state that, function A has a greater slope than B.

Learn more about the slope of a function on:

https://brainly.com/question/15602982

#SPJ1

A juice drink contains 100 oz of concentrated juice and water, and is 28%
concentrated juice. If the drink is to be weakened to 20%, how much water must be added?

Actually answer. I will, and have, reported for people faking the asnwer or not answering at all. Please.

Answers

Answer: We need to add 40 ounces of water to the 100 oz of concentrated juice and water to obtain a new mixture that is 20% concentrated juice.

Step-by-step explanation:

We can begin by setting up an equation based on the given information.

Let's say we need to add x ounces of water to the 100 oz of concentrated juice and water to obtain the new 20% mixture.

The amount of pure juice in the original 100 oz mixture is 28% of 100 oz, which is 0.28(100) = 28 oz.

After x ounces of water are added, the total volume of the mixture becomes 100 + x oz. The amount of pure juice remains the same at 28 oz. We want to find the amount of water that needs to be added to reach a concentration of 20%.

Setting up the equation:

0.20(100 + x) = 28

Expanding and simplifying:

20 + 0.20x = 28

0.20x = 8

x = 40

Answer:

143

Step-by-step explanation:

100 oz is 28 % of the drink

So total volume of the drink = 357 oz.

A drink that of 100 oz juice and is 20% juice has a volume of 500 oz.

So, we need to add 500 - 357

= 143 oz water.

26. Which function is increasing and decreasing over the same intervals as the function in the graph?

Answers

The function is increasing and decreasing over the same intervals as the function in the graph is y = | x+ 2|. The correct option is B.

What is an absolute function?

The absolute value or modulus of a real number x, denoted |x| in mathematics, is the non-negative value of x regardless of its sign. Specifically,|x|=x.

In the given image the function is represented by the equation y = | x - 2 |. Now the similar function which is increasing and decreasing over the same intervals as the function in the graph is y = | x+ 2|.

Therefore, the correct option for the function is B.

To know more about an absolute function follow

https://brainly.com/question/25971887

#SPJ1

Which one of the following statements about probability is not true?If Events A and B are mutually exclusive, then Event A or Event B must occur.If Events A and B are mutually exclusive, then both events cannot occur simultaneously.

Answers

The statement "If Events A and B are mutually exclusive, then both events cannot occur simultaneously." is true.

Therefore the answer is B.

This statement is true, but it is not a general property of probability. In probability, events are considered mutually exclusive if they cannot occur at the same time, but there is no requirement that one of the events must occur. For example, if Events A and B are the rolling of a dice resulting in an even number and rolling a dice resulting in a number greater than 4, respectively, they are mutually exclusive events but both events may not occur (if a 3 is rolled, for example).

To know more on mutually exclusive events

https://brainly.com/question/28565577

#SPJ4

Other Questions
1. Write these percentages as common fractions in simplest form: a)75% a cell with a large volume will have a more difficult time doing what? correlations based on rates or averages, often used in political science or sociology, that tend to over-state the strength of an association. what is the area of 4 walls of square room?? A square room contains 256 cubic meter of air. IF THE cost of painting it's 4 walls at rs 50 per Sq. meter is Rs 6400,find the cost of carpeting its floor at Rs 99 per Sq. Meter. What is 210 c to.f ? why do the sun and moon appear to be the same size in the sky? what is 1040 schedule c form ? according to the caux principles for business, the ethical ideal of kyosei means The federal system outlined in the new constitution containedA.only an executive, who was elected by all the people.B.one main center of power, with three subsidiary branches that can make suggestions.C.two branches, with both branches having equal power.D.three branches, in which each branch has the power to restrain the other branches. 1.Consider the market for personal computers. Suppose thatdemand is stable: The demand curve doesn't change. Predictthe effects of the following changes on the on the equilibriumprice of computers. Illustrate your answers with a supply anddemand diagram. (Hint: Needs 2 Graphs; one for "a" and one for"b")a.b.The cost of memory chips decreases.The government imposes a $100 tax on personalcomputers HELP PLS>> What is another for the nile river?? the date range of the beginning of the civil war era and the end of the reconstruction era are:_____. how many average gravitational potential energy? What are the 5 themes of Frankenstein? Who is Gary Ridgway son? according to social intelligence, approximately what percentage of employers use information individuals post on social network sites to research job candidates during the hiring process?70%80%90% what did the germans celebrate before groundhog day Martin Luther found a loyal friend and follower in __________, who had been called to Wittenberg by the electors of Saxony. He operated a studio as well as a printing office, a bookshop, and a paper mill. He furthered the cause of the Protestant Reformation by portraying the reformers and their cause in books and broadsides. Ironically, he also regularly accepted commissions for Madonnas and Crucifixions from Catholic clients, and many of the woodcuts he produced for the Luther Bible were also used in a subsequent Catholic edition. Which of the following generational groups account for just under 21% of the U.S. population but 53% of all consumer spending? O Generation Z O Millennial O Baby Boomer O Generation X What is the CPT code for cystoscopy 2022?