please help worth 100 points
Two rival dry cleaners both advertise their prices. Store A's prices are modeled by the expression 25x-9 where x is the number of items brought in. Store B's prices are modeled by the expression 5(5x+8), where x is the number of items brought in. When do the two stores charge the same rate? Write the equation and show the work to justify your response.

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]

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.

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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:

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

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.

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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.

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.

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

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

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).

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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.

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

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.

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The formula for Average Fixed Cost (AFC) is: AFC = FC / Q. Where FC represents the total fixed costs incurred by a firm and Q represents the quantity of output produced by the firm.

AFC is a per-unit measure of the fixed cost of production, and represents the amount of fixed cost that is attributed to each unit of output. As the quantity of output increases, the AFC decreases, since the fixed costs are spread out over a larger number of units. AFC is an important concept in economics and business, as it is used to calculate other cost measures such as average total cost and average variable cost.

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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.

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.

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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

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.

The width of the rectangular box is W = 8 inches

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the rectangular box be V = 264 inches³

Let the height of the rectangular box be H = 3 inches

Let the length of the rectangular box be L

Let the width of the rectangular box be W

Now , L = 3 + W

And , Volume of Rectangle = Length x Width x Height

Substituting the values in the equation , we get

264 = 3 x ( W ) x ( 3 + W )

On simplifying the equation , we get

Divide by 3 on both sides of the equation , we get

3W + W² = 88

Subtracting 88 on both sides of the equation , we get

W² + 3W - 88 = 0   be equation (1)

On factorizing the equation , we get

W² + 11W - 8W - 88 = 0

Taking the common factors of the equation , we get

W ( W + 11 ) - 8 ( W + 11 ) = 0

On further simplification , we get

( W - 8 ) ( W + 11 ) = 0

The width cannot be negative , so

( W - 8 ) = 0

Adding 8 on both sides , we get

W = 8 inches

Hence , the width of the rectangular box is 8 inches

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The length of other leg is 12.96 cm.

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

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The total amount of the bill is $102.59625.

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.

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Answer:

This is false.

Step-by-step explanation:

The correct answer would be 652.5

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.

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

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

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.

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1000000000000000000000000000

Step-by-step explanation:

are u also MS hitsman?

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.

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Answer: The function has three x-intercepts.

Step-by-step explanation:

To find the x-intercepts of a function, we need to find the values of x for which the function equals zero.

So, to find the x-intercepts of the function:

F(x) = (x+5)^3(x-9)(x-1)

We need to solve the equation:

F(x) = 0

We can see that the function will be equal to zero when any of the factors on the right-hand side is equal to zero. Therefore, we need to solve the following four equations:

(x+5) = 0, which gives x = -5

(x-9) = 0, which gives x = 9

(x-1) = 0, which gives x = 1

(x+5)^3 = 0, which gives x = -5

The last equation, (x+5)^3 = 0, has a triple root at x = -5, since the factor (x+5) appears three times. Therefore, there are a total of three x-intercepts for the function:

x = -5 (with multiplicity 3), x = 1, and x = 9.

Answer:

y=13 x=16 i think

Step-by-step explanation:

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.

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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

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!

Answer:

31) -$1.25

32) $0.50

Step-by-step explanation:

Problem 31

[tex]E(X)=\frac{1}{4}(-5)+\frac{1}{4}(-20)+\frac{1}{2}(10)=-\frac{5}{4}-5+5=-\frac{5}{4}=-1.25[/tex]

Hence, this person would expect to gain -$1.25 (or lose $1.25) if they play this game.

Problem 32

[tex]E(X)=\frac{1}{4}(2)+\frac{1}{4}(20)+\frac{1}{2}(-10)=\frac{1}{2}+5-5=\frac{1}{2}=0.50[/tex]

Hence, this person would expect to gain $0.50 if they play this game.

Answer:

31. -$1.25

32. $0.50

Step-by-step explanation:

The expected value is the sum of the product of each probability and its corresponding winnings or loss.

31.

p(win $10) = 1/2

amount of winnings = $10

p(loose $5) = 1/4

amount of loss = $5

p(loose $20) = 1/4

amount of loss = $20

expected value = (1/2)($10) + (1/4)(-$5) + (1/4)(-$20)

expected value = -$1.25

32.

p(win $2) = 1/4

amount of winnings = $2

p(win $20) = 1/4

amount of winnings = $20

p(loose $10) = 1/2

amount of loss = $10

expected value = (1/4)($2) + (1/4)($20) + (1/2)(-$10)

expected value = $0.50

Let the smaller polygon have side lengths a and the larger polygon have side lengths b. Since the polygons are similar, the ratio of corresponding side lengths is the same as the ratio of their areas. That is:

b^2 / a^2 = 128 / 98

Simplifying this expression, we get:

b / a = √(128 / 98) = √(64 / 49) = (8 / 7)

Now we can use the fact that the perimeter of the smaller polygon is 42 inches:

4a = 42

a = 10.5

Substituting this into the ratio we found above, we get:

b = (8 / 7) * a = (8 / 7) * 10.5 = 12

Therefore, the larger polygon has a perimeter of:

4b = 4 * 12 = 48 inches.

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).

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