Given:
Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57.
The equation is
[tex]29.95 + 0.79d = 91.57[/tex]
To find:
Whether the statement are true or false.
Solution:
We have,
[tex]29.95 + 0.79d = 91.57[/tex]
Here,
Fixed cost = 29.95
Variable cost = 0.79d, it depends on the number of miles Ms. Knowles drove.
So, the variable d represents the number of miles Ms. Knowles drove. Hence, statement A is true.
The term 0.79d represents the charge in dollars for the distance driven. Hence, statement B is true.
You can isolate the term 0.79d by subtracting 29.95 from both sides of the equation.
Hence, statement C is false.
2x+5y=10
Solve for y
2x+5y=10
Move constant to the left by adding its opposite to both sides
2x+5y-10=10-10
the sum of two opposites equals 0
Answer: 2x+5y-10=0
PLEASE MARK ME AS BRAINLIEST
Carlos sold 6 cellphones every hour during the day, but in the morning he already ha $1,250 in the register. What is the expression that represents the total amount of money that he should have in the register in a given hour?
A: $1250
B: 6x
C: 6x + 1250
D: 1250x + 6
Answer: 6x+1250
Step-by-step explanation:
Amount already in the register = $1250
Number of phones sold every hour = 6
Price of the phone = x
The expression that represents the total amount of money that he should have in the register in a given hour will be:
= $1250 + $6x.
Therefore, option C that is 6x + 1250 is the correct answer.
-10y+18=-3(5y-7)+57how do you solve this
Variable will the value of the function be equal to −6; −3; 0? Answer: If the value of the function is equal to −6, the value of the independent variable is equal to . If the value of the function is equal to −3, the value of the independent variable is equal to . If the value of the function is equal to 0, the value of the independent variable is equal to .
Complete Question:
A function is expressed by the equation y = 0.3x − 6. For what value of the independent variable will the value of the function be equal to −6; −3; 0?
Answer:
If the value of the function is equal to −6, the value of the independent variable is equal to 0. If the value of the function is equal to −3, the value of the independent variable is equal to 10. If the value of the function is equal to 0, the value of the independent variable is equal to 20.
Step-by-step explanation:
Given:
[tex] y = 0.3x - 6 [/tex]
Required:
Find x, if y = -6; -3; and 0.
SOLUTION:
x = the independent variable
y = dependent variable
To find x (independent variable), when the value of the function (y) is -6, substitute y = -6 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] -6 = 0.3x - 6 [/tex]
[tex] -6 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 0 = 0.3x [/tex]
[tex] \frac{0}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 0 = x [/tex]
[tex] x = 0 [/tex]
To find x (independent variable), when the value of the function (y) is -3, substitute y = -3 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] -3 = 0.3x - 6 [/tex]
[tex] -3 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 3 = 0.3x [/tex]
[tex] \frac{3}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 10 = x [/tex]
[tex] x = 10 [/tex]
To find x (independent variable), when the value of the function (y) is 0, substitute y = 0 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] 0 = 0.3x - 6 [/tex]
[tex] 0 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 6 = 0.3x [/tex]
[tex] \frac{6}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 20 = x [/tex]
[tex] x = 20 [/tex]
If the equation 9y2 + 6ky + 4 = 0 has equal roots, then the value of k a) ±1 b) ±2 c) ±3 d) ±4
• The equation 9y² + 6ky + 4= 0 has equal roots .
To find :• The value of k.
Solution:• As we know that , For equal roots :
• Discriminant must be equal to zero.
D = b²- 4ac = 0
Here ,
a= 9 , b = 6k , and c = 4 .
=> b²-4ac= 0
=> (6k)² - 4 (9)(4)=0
=> 36k² - 144=0
=> 36k²= 144
=> k²= 144/36
=> k²= 4
=> k = ±2.
Hence ,the option b is correct .
I hope it will help you.
Regards.
Suppose C and D represent two different school populations where C > D and C and D must be greater than 0. Which of the following expressions is the largest? Explain why. Show all work necessary
A: (C + D)^2
B: 2(C + D)
C: C^2 + D^2
D: C^2 - D^2
A dairy produces 420,000 quarts of milk each day. There are 4 quarts in a gallon. How many gallons of milk are produced each day? A 105,000 gal B) 1,680,000 gal С 1,050,000 gal D 10,500 gal Question 10 2 Points
Answer:
150000
Step-by-step explanation:
i use cal
What is 3/4 dived by 1/2
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex]
Since we are dividing by a fraction, we switch [tex]\frac{1}{2}[/tex] to it's reciprocal.
Doing that would make it [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{1}[/tex]. In other words, that is [tex]\frac{3}{4}[/tex] x [tex]2[/tex].
We can use cross multiplying to simplify/solve for it.
(Look at the image to see the cross multiplying).
Therefore, the answer is [tex]\frac{3}{2}[/tex].
Lines Project Journal
need help for number 3
Answer:
Remember that a line segment is the portion of a straight line that directly connects two given points. Unlike a line, it does not extend off to infinity in both directions. To find the length, we just use the distance formula between the two points provided.
Example:
Find the distance between (-2,8) and (-7,-5). Said another way, find the length of the line segment between points (-2,8) and (-7,-5).
First, find the distance between the x-coordinates. To do this, subtract one number from the other and then take its absolute value.
We have: |-2-(-7)| = |5| = 5.
Then repeat with the y-coordinates.
We have: |8-(-5)| = |13| = 13.
NOTE: It does NOT matter which way you subtract the numbers because the absolute value of the answer would be the same anyway.
Finally, to compete the length (or distance), square BOTH values, add them, and take the square root. Here's the first part:
[tex]5^{2}[/tex] + [tex]13^{2}[/tex] = 25 + 169 = 194
Taking the square root of 194 and rounding to TWO decimal places, we get a distance of 13.93:
[tex]\sqrt(194)[/tex] = 13.93
By the way, what you are actually doing is using the Pythagorean Theorem on an imaginary right triangle with the line joining the two lines being the hypotenuse.
The general formula for distance between two points is the following: [tex]\sqrt{x^2+y^{2}[/tex] , where x and y are the change in x and y between the two points.
What is the value of this sum 6372+5849?
Question in picture please answer
Answer:
-16
Step-by-step explanation:
-2=2+V/4
-V/4=2+2
-V/4=4
-V=4x4
-V=16
V=-16
14= 17 - 9x. help please
Step-by-step explanation:
9x= 17 - 14
9x= 3
x= 3÷9
x= 1/3
Match the properties with the steps to solving the following equation. 1/2(8x-6) = x+9
Answer:
Step-by-step explanation:
Given equation is,
[tex]\frac{1}{2}(8x-6)=x+9[/tex]
By distribution property,
4x - 3 = x + 9
By subtraction property of Equality,
4x - x - 3 = 9
3x - 3 = 9
By Addition property of equality,
3x = 3 + 9
3x = 12
By division property of equality,
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
x = 4
What is 8 x 1 + 9 x (1/10) + 6 x (1/100) + 2 x (1/1000)?
Answer:
8962
Step-by-step explanation:
8×1+9...etc..etc
= 8962
Answer:
8.962
Step-by-step explanation:
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard. Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning
Given:
The system of equations that represent the constraints for the given situation is
[tex]x+y=4.25[/tex]
[tex]16.90x+4y=36.35[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]x+y=4.25[/tex] ...(i)
[tex]16.90x+4y=36.35[/tex] ...(ii)
Multiply equation (i) by 4.
[tex]4x+4y=17[/tex] ...(iii)
Subtracting (iii) from (ii), we get
[tex]16.90x+4y-(4x+4y)=36.35-17[/tex]
[tex]16.90x+4y-4x-4y=19.35[/tex]
[tex]12.90x=19.35[/tex]
Divide both sides by 12.90.
[tex]x=\dfrac{19.35}{12.90}[/tex]
[tex]x=1.5[/tex]
Put this value in (i).
[tex]1.5+y=4.25[/tex]
[tex]y=4.25-1.5[/tex]
[tex]y=2.75[/tex]
The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.
If DKL =.PVX, which of the following statements must also be true? Check all that apply.
O ALKD XVP
O VPX= KDL
O VPX= DLK
OZDZP
DLPV
Answer:
First one, Second one, and fourth one
Step-by-step explanation:
PLEASE HELP ASAP DUE SOON
the answer is
C. neither
Mrs. McGuffy is calculating a numerical analysis of the semester exam grades for students in her third period class. She entered the percentage correct on the exam for every student into a calculator and generated the following statistics. Which of these statements cannot be justified using statistics shown in these two calculator screen shots?
a) the range of the scores was 30%
b) the IQR was 8
c) the mean score was less than the median score?
d) the average score was 87%
Answer:
the answer is D
Step-by-step explanation:
the average score was 87%
PLEASE HELP ME BRO LITERALLY ANYONE OUT THERE, COMEEE ON
Which statement must be true?
Answer:
The first option 3~=6
Step-by-step explanation:
The two angles are alternate interior which means the angles are congruent
Answer:
The first option.
That is true because <3 and <6 are vertical angles. You can test this by replacing <3 with angle <1, which are equal. Then you can see <3 is equal to <6. So the first option must be true.
Hope this helps.
Our friend claims that a rectangle with the same perimeter as △QRS will also have the same area. Is your friend correct? Explain. yes; Any rectangle with a perimeter of 12 units will have an area of 6 units. yes; If a rectangle does not have the same perimeter as △QRS, it will not have the same area, so your friend's statement is correct by counterexample. no; A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no; A 1×5 rectangle has a perimeter of 12 units and does not have an area of 6 units, so a counterexample shows that your friend's statement is not correct.
Answer:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no
Step-by-step explanation:
We are given vertices in the attached
To solve this question, we are given vertices, we solve using the formula:
√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)
We are given Triangle QRS
Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)
QR : Q = (-2, 1) , R = (-2, -2)
= √(-2 - (-2))² + (-2 - 1)²
= √0² + 3²
= √9
= 3 units
RS : R = (-2, -2), S =(2, -2)
= √(2 -(-2))² + (-2 - (- 2))²
= √4² + (0)2
= √16
= 4 units
QS: Q = (-2, 1), S =(2, -2)
= √(2 -(-2))² + (-2 - 1)²
= √(2 + 2)² + (-3)²
= √4² + 9
= √16 + 9
= √25
= 5 units
The Area of Triangle QRS = 1/2bh
b = base = RS = 4 units
h = height = QR = 3 units
= 1/2 × 4 × 3
= 6 square units
Perimeter of Triangle QRS = QR + RS + QS
=( 3 + 4 + 5)units
= 12 units
Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle
The perimeter of a rectangle
= 2L + 2W
12 units = 2L + 2W
12 - 2L = 2W
W = 12 - 2L/2
The Area of a Rectangle = L × W
6 square units = LW
6 = LW
6 = L ×(12 - 2L/2)
6 = 12L - 2L²/2
Cross Multiply
6 × 2 = 12L - 2L²
12 = 12L - 2L²
2L² - 12L + 12
2(L² - 6L + 6)
Therefore, from the calculation above, we can conclude:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.
Answer:
Step-by-step explanation:
Answer:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no
Step-by-step explanation:
We are given vertices in the attached
To solve this question, we are given vertices, we solve using the formula:
√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)
We are given Triangle QRS
Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)
QR : Q = (-2, 1) , R = (-2, -2)
= √(-2 - (-2))² + (-2 - 1)²
= √0² + 3²
= √9
= 3 units
RS : R = (-2, -2), S =(2, -2)
= √(2 -(-2))² + (-2 - (- 2))²
= √4² + (0)2
= √16
= 4 units
QS: Q = (-2, 1), S =(2, -2)
= √(2 -(-2))² + (-2 - 1)²
= √(2 + 2)² + (-3)²
= √4² + 9
= √16 + 9
= √25
= 5 units
The Area of Triangle QRS = 1/2bh
b = base = RS = 4 units
h = height = QR = 3 units
= 1/2 × 4 × 3
= 6 square units
Perimeter of Triangle QRS = QR + RS + QS
=( 3 + 4 + 5)units
= 12 units
Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle
The perimeter of a rectangle
= 2L + 2W
12 units = 2L + 2W
12 - 2L = 2W
W = 12 - 2L/2
The Area of a Rectangle = L × W
6 square units = LW
6 = LW
6 = L ×(12 - 2L/2)
6 = 12L - 2L²/2
Cross Multiply
6 × 2 = 12L - 2L²
12 = 12L - 2L²
2L² - 12L + 12
2(L² - 6L + 6)
Therefore, from the calculation above, we can conclude:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.
John Henry took his sons to lunch and the total amount of the check was $42.80. He wants to leave a 20% tip. What will be the total amount he will spend?
Answer:
$42.80 check
x.20 tip
$8.56
Then add the the total check $42.80 +$8.56 = $51.36 John will spend
Step-by-step explanation:
to find the tip multiply the total by the tip
if 10% x it by .10
if 16% x it by .16
if 25 % x it by.25 and so on then add that to the total of the bill
Answer:
See below.
Step-by-step explanation:
Divide to turn the percentage into decimal form.
[tex]\frac{20}{100} =.20[/tex]
Multiply the percentage by the amount.
[tex]42.80*.20=8.56[/tex]
Add them together.
[tex]42.80+8.56=51.36[/tex]
Answer: [tex]51.36[/tex]
:)
.................................................................................................................................................................................................................................................................................................................................................................................................
Answer:
47.022
Step-by-step explanation:
Answer: 47.022
Step-by-step explanation:
Pic
2. You see a TV that is normally $350 is now on
sale for 45% off. How much of a discount will you
get to save?
Answer:
You will save $157.50
Step-by-step explanation:
Multiply 350 by 0.45
This gets you 45% of 350
Triangles A B C and X Y Z are shown. Angles B A C and Y X Z are congruent. The lengths of A B and Y X are both 28 centimeters and the lengths of A C and X Z are both 32 centimeters. Point A of triangle A B C pointing to the left. Point X of triangle X Y Z is pointing down. How can ΔABC be mapped to ΔXYZ? First, translate vertex A to vertex . Next, ΔABC to align the sides and angles.
Answer:
1. x
2. rotate
Answer:
the answer is X, and rotate
Step-by-step explanation:
8. A department store purchases a coat for $95 To sell the coat to customers, the price is increased by 27°. What is the new price of the coat? [A] $25.65 [B] $69.35 (C) $161 35 - [D] $12065
Answer:D
Step-by-step explanation:
$120.65 is the new price of the coat.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
A department store purchases a coat for $95
To sell the coat to customers, the price is increased by 27%
So, the new price of the coat = $95+ $95*27%
=$120.65
Hence, $120.65 is the new price of the coat.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
What is 2+2? I think the answer is 6 :)
Answer: wut yea i think it's six too.
The answer is 4 because look at this: ♥ ♥
That's 2 hearts
If you add 2 more:
♥ ♥ ♥ ♥
1 2 3 4 --> 4 hearts!
♥ ♥ + ♥ ♥ = ♥ ♥ ♥ ♥
So, 2 + 2 = 4.
Ok :
What does the graph look like for y=2x-3
Answer:
It will have a y-intercept of -3 and a rise of 2 and a run of 1.
Step-by-step explanation:
We can use a graphing calculator to help us graph for y = 2x - 3.
Attached below is the graph.
77 is left over when a number x is decreased by 109.
Find x
What is happening here?
What is the opposite operation?
Check by substituting
Answer:
186
Step-by-step explanation:
77+109=186
186-109=77
x=186
Hope this helps!
1 quart to 1 gallon
4 quarts equal 1 gallon. 1 quart to 1 gallon is 0.25 of a gallon.
plz help ill give brainliest In the kite , AK=15 , JK=39 , and AM=77 .
What is JM ?
Answer:
125 i think....
Step-by-step explanation: