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 29.95 + 0.79d = 91.57 can be used to model this situation. Choose True or False for each statement. A) The variable d represents the number of miles Ms. Knowles drove. B) The term 0.79d represents the charge in dollars for the distance driven. C) You can isolate the term 0.79d by adding 29.95 to both sides of the equation.

Answers

Answer 1

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.


Related Questions


(a)
Stephen and Karen are getting the floor redone in their house. Company A charges $215 and $0.50 per square foot to install carpet. Company B charges $100 and $0.75 per square foot to install carpet.

Determine which company would be a better choice if Stephen and Karen were having 400 square feet of carpet installed. Justify your answer using
math

Answers

Answer:

Company B

Step-by-step explanation:

Given. That :

Company A:

Initial charge = $215

Charge per square foot = 0.50

Company B:

Initial charge = $100

Charge per square foot = 0.75

Which company if installing 400 square feet of carpet :

Company A:

Total bill:

$215 + 0.50(400) =$415

Company B:

Total bill:

$100 + 0.75(400) = $400

Hence, Company B will be a better option as the total cost is cheaper than company As cost.

What Is 2+4? I need to know.

Answers

Answer:

the answer is 6

Step-by-step explanation:

Answer:

6! Hope this helps have a great night!!!!

Step-by-step explanation:

May I plz have brainliest?

Haddle wrote a check to the grocery store for $156.00. However, when she looks at her check register later that night, she sees she only has

$122.66 In her checking account. Haddle has opted in to the standard overdraft practices at her bank. How many fees is Haddle likely to pay for

writing the check?

Answers

Answer:

she will have one fee for standard overdraft practices and that will prevent a fee from the grocery. store

Step-by-step explanation:

We are told she wrote a check to the grocery store for $156.00.

And that when she looked at her check register later that day, she had only $122.66.

This means she doesn't have sufficient balance for the grocery.

It means the bank will pay the overdraft and it attracts charges which may vary for different banks.

Thus, she will have one fee for standard overdraft practices and that will prevent a fee from the grocery store

Please help Math answers

Answers

Answer:

on example 1, both are right triangles.

please help me with this wuiz

Answers

Answer: Distribute the 10

Step-by-step explanation: PEMDAS (p is parentheses)

what is value of x , 1x + 2x = 30​

Answers

Answer:

x = 10

Step-by-step explanation:

1x + 2x = 30​

3x = 30

x = 10

For the following right triangle, find the side length x.​

Answers

Answer: 37

Step-by-step explanation:

Use A squared plus b squared equals c squared.

1. 35 squared is 1,225.

2. 12 squared is 144.

3. 144 plus 1,225 is 1,369. Now is 1,369 a square number?

Well the square root of 1,369, that's 37.

Evaluate the expression for z = 3.

z2

Answers

Answer:

6

Step-by-step explanation:

z=3

z2= 3*2 = 6

Good luck

5x - 2y= 26 y + 4 = x
Plzzz help I got 10 minutes

Answers

the answer is (x,y) = (4/51 - 8/51)

The Value of x and y are (x,y) = (7,3).

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

GIven equations are :

5x - 2y= 26.....(1)

y + 4 = x..........(2)

Solve by substitution :

substitute equation 2 in equation 1 and solve for y

5x - 2y= 26

5(y+4) - 2y = 26

5y + 20 -3y = 26

2y = 26 - 20

2y = 6

y = 3

now, the value of x will be :

x = y + 4

x = 3+4

x = 7

Therefore, The Value of x and y are (x,y) = (7,3).

Learn more about the linear equation here:

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what is the answer to

-6+n=6
How do you solve it

Answers

Answer:

n=12

Step-by-step explanation:

-6+n=6

n=6+6

n=12

You have to leave the n by its self so u have to do the opposite of the sign -6 =6 so add the 6 to the other side which gives you 12 so n=12

2÷5 × -4 what Is the answer please? ​

Answers

Answer:

-1 3/5

Step-by-step explanation:

2÷5 × -4

Work from left to right

2/5 * -4

-8/5

-1 3/5

Use the graph to find the midpoint between O and H.
(4, -1)


(-2, 8)


(8, -2)


(-1, 4)

Answers

Answer:

(-1, 4)

Step-by-step explanation:

-5+3/2 = -1

6+ 2/2 = 4

(-1, 4)

$1000, 2%, 9 months what is the simple interest​

Answers

Answer:

principal =1000

time=9

rate=2%

or simple interest = p×t×r/100

= 1000×9×2

=Rs.18000

Answer:

$180

Step-by-step explanation:

Turn 2% to 0.02 then make the formula

1,000*0.02*9=180

Will Give Brainliest if Correct

Answers

Answer:

(a) 0

(b) -3/26

Step-by-step explanation:

(a)

We essentially plug 1 in for x and 2 in for y.

Our expression is [tex]\frac{2x-y}{y^2+1}[/tex], so making the correct substitutions yields:

[tex]\frac{2x-y}{y^2+1}=\frac{2*1-2}{2^2+1}=\frac{2-2}{4+1} =\frac{0}{5} =0[/tex]

So, the answer for part (a) is 0.

(b)

Again, we're now plugging in 1 for x and 5 for y:

[tex]\frac{2x-y}{y^2+1}=\frac{2*1-5}{5^2+1}=\frac{2-5}{25+1} =\frac{-3}{26} =-\frac{3}{26}[/tex]

So, the answer for part (b) is -3/26.

Evaluating Rational Expressions

Step-by-step explanation:

So we have the rational expression [tex]\frac{2x -y}{y^{2} +1}\\[/tex]. All we have to do is to just plug the given values for what x and y are.

Solution of a:

[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(2)}{(2)^{2} +1} \\ \frac{2 -(2)}{4+1} \\ \frac{0}{5} \\ 0[/tex]

Answer of a:

[tex]0[/tex]

Solution of b:

[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(5)}{(5)^{2} +1} \\ \frac{2 -(5)}{25+1} \\ \frac{-3}{26} \\ -\frac{3}{26}[/tex]

Answer of b:

[tex]-\frac{3}{26}\\[/tex]

Please help i’ll give brainliest

Answers

Answer:

C

Step-by-step explanation:

Angle Bisector means the line is being split in half evenly. So, when angle 3 is 60, so is angle 4. Angles 1 and 2 are both 30 degrees because 30 + 60 equals to 90 degrees.

I hope this helps!

Answer:

60⁰..................

Five cards are numbered 1 through 5. The back of each card is identical. The cards are mixed up and placed faced down. A person randomly flips over three cards and determines the sum of the three exposed cards. What is the probability that the sum is odd?

Answers

The percentage is 70%

Please help me idk this

Answers

Answer:

Step-by-step explanation:

SoOOoooooOOOOOooo . . . lemme explain how do use a stem and leaf plot

Basically, if you have a two-digit number, the first digit goes on the right side of that line and the second digit goes on the left side. BUT YOU HAVE TO MAKE SURE THE NUMBERS ARE IN CHRONOLOGICAL ORDER!!!

Also, like the doc said SINGLE DIGIT NUMBERS ARE TO BE WRITTEN LIKE THIS (example): 0|3, which would equal 3.

SO. Step number one: put the numbers in order from least to greatest.

Step number two: put them on the stem and leaf plot. THIS WOULD BE YOUR ANSWER:

0|2                  = 2

0|3                   =3

0|4             =4

0|5                  =5

0|9                =9

1|0                 =10

1|2                  =12

1|5                   =15

1|5           =15

1|8                   =18

2|0                   =20

2|2              =22

3|5                   =35

3|8                   =38

4|1            =41

What is the population growth rate of a country with an initial population of 100 million and a
population of 500 million 60 years late?
a. 02%
b. 1.2 %
c 2.1%
d. 2.7%

Answers

Answer:

its answer C 2.1%

Step-by-step explanation:

It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)

Answers

Answer:

1/x + 1/( x+15 ) = 1/4  / · x ( x+15 )

   x+15 + x = x ( x+15 ) /4      / · 4

   8 x + 60 = x² + 15 x

   x² + 15 x - 8 x - 60 = 0

   x² + 7 x - 60 = 0

   x² + 12 x - 5 x - 60 = 0

   x · ( x + 12 ) - 5 ·( x+ 12 ) = 0

   ( x + 12 ) · ( x - 5 ) =0

   x = - 12  ( not accepted ) or  x = 5

   The time taken by Brian:  5 + 15 = 20 hours

Step-by-step explanation:

The price of Stock A at 9 A.M. Was ​$14.67. Since​ then, the price has been increasing at the rate of ​$0.08 each hour. At noon the price of Stock B was ​$15.17. It begins to decrease at the rate of ​$0.15 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Price of Stock A at 12 : 00 A.M. is :

A = 14.67 + 0.08×3

A =  $14.91

Price of Stock B at 12 : 00 A.M. is :

B = $15.17

Let, after x hours price are same :

[tex]14.91 + 0.08x = 15.17 -0.15x\\\\0.23x = 15.17-14.91\\\\0.23x =0.26\\\\x = 1.13\ hours[/tex]

At, 1 : 13 P.M both stocks have same prices.

Hence, this is the required solution.

Lisa was throwing a dart at a target. She threw 50 times with her left hand and 50 times with her right hand. The histograms show the distance Lisa missed the target by each time. Make an inference about which hand Lisa has better aim with based on the median of each data set. Justify your response.

Answers

Answer:

The answer is "More accurately is the left hand".

Step-by-step explanation:

In the given-question when we look at the given equation and see its given graph. This graph offers a much more reliable right hand because it has a smaller distance than that of the left. That being said, the left hand never surpassed the target, again and again, that's why the above given choice is correct.

MARKING BRAINLIEST, PLEASE HELP.

In order for the picture frame to fit together where both pairs of opposite sides are parallel, what must the sum of x and y be?

Answers

Answer:

360 degrees

Step-by-step explanation:

a rectangle has a total of 360 degrees and all the x and y values are at the corners so...

At the season finale, you present the winner of Canadian Superstar with a recording-and-tour contract. The contract states that the winner will be paid $5000 per month while on tour plus $2 per CD sold. Rn Did You Know? A) Vrite an equation that relates total earnings in terms of the number of months, m, on tour and the number, n, of CDs sold. In March 2003, Dark Side of the Moon, by Pink Floyd, achieved double diamond status in Canada for selling over 2000000 units. B) How much will the winner earn after the first month if 500 CDs are sold? C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold? D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Winner is paid :

Monthly pay while on tour = $5000

Pay per CD sold =. $2

A) Equation which relates total earning in terms of number of months 'm' while on tour and the number 'n' of CD's sold.

(Monthly pay * number of months) + (pay per CD * number of CD's)

Earning = 5000m + 2n

B) How much will the winner earn after the first month if 500 CDs are sold?

m = 1, n = 500

5000(1) + 2(500) = $6000

C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold?

m = 3

74000 = 5000(3) + 2n

74000 = 15000 + 2n

74000 - 15000 = 2n

59000 = 2n

n = 59000 / 2

n = 29500 CD's

D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?

n = Gold = 50000 ; m = 6

5000(6) + 2(50000)

30000 + 100000 = 130,000

Please help i’m having a hard time answering it

Answers

So we know 5ft to 1cm then
4x5=20ft
6x5=30ft

what is the explicit formula for this sequence? -8, -3, 2, 7

Answers

Answer:

an+9n-11

Step-by-step explanation:

solve 3(x-4)=16+5x show work

Answers

Answer:

hi… I think it's written that way

plz help i dont know the answer

Answers

Answer:

Im not 100 percent sure but I think you have to do this

Step-by-step explanation:

Add all numbers together to find total students

Then add the students in Chemistry and Physics and both together

Then find what that number is in percent to the total students

Topic is Solving Systems by Elimination. Need the work
- 7x + 3y =- 24
2x - 4y =- 12

Answers

The fitness gram pacer test is a multistage aerobics test

A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?​

Answers

Answer:

-1

So the answer would be (-1, 2)

Hopefully, this is correct, sorry if not.

a) (i) Write down the value of angle x.
71° z
X=
(ii) Give a reason for your answer.
b) (i) Write down the value of angle y.
y =
(ii) Give a reason for your answer.
y
х
65°
c) Work out the size of angle z.
o
Z=

Answers

Step-by-step explanation:

hope this helps you!! :))

The value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

What is angle ?

Angle is the space between two lines or surfaces that meet, and is  measured in degrees.

So,

According to the question;

[tex]\angle x =65^0[/tex]

([tex]\angle x[/tex]  is vertically opposite of the given angle  [tex]65^0[/tex])

[tex]\angle y = 71^0[/tex]

(Because when a transversal line intersects two parallel lines then each pair of alternate interior angles is equal.)

We know that,

Sum of all angles of triangle is equals to [tex]180^0[/tex].

i.e.

[tex]x+y+z=180^0[/tex]

we have,

[tex]65+71+z=180[/tex]

[tex]z=180-136[/tex]

[tex]z=44^0[/tex]

So, the value of [tex]z[/tex] is [tex]44^0[/tex].

Hence, we can say that the value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

To know more about angle click here

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set of cards contains cards numbered 1 8. Mrs. Jacobs class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?111125143250 Why was the Union interested in Chattanooga and Atlanta? What are 2 synonyms for the word contribute why do i have depression? Match the items in column A to the items in column B.M. et Mme?Mr. and Mrs.M.MissMlle?Mrs.MmeMr.? Please help, will give brainliest:The spacecraft OSIRIS-REx is currently orbiting Bennu at an average distance from its center of mass of 1000 meters. At this distance, it takes 24 hours and 57 minutes to complete one orbit. What is its average orbital velocity? newspaper publishing is a dying industry? The sum of two numbers is 49 and the difference between these two numbers is 9. What are these two numbers? 9 to the 10th power identify the elements given the orbital diagrams listed below. Date:10/16/201. The largest river in the world is the Nile River. It is 4,132 miles long. Thelongest river in the United States is the Missouri River. It is 2,540 miles long.Which is the best estimate of the difference in the lengths of the Nile andthe Missouri rivers?a. 1,000 milesb. 1,600 milesc. 2,000 milesd. 6,600 miles2. Each year, the NYC Humane Society works to raise as much money aspossible for the animal shelters. Last month, they raised $14,392 from donationsand $456,892 from pet adoptions. About how much money did they raisealtogether? Which was not a result of the War of 1812?Native hostilities had been suspended, and westward expansion continued.The Americans gained the respect of other foreign nations.A new spirit of nationalism was created in the U.S.The British agreed to stop interfering with U.S. trade. HELP PLEASE!!! 50 PTSWhich polynomial can be factored using the binomial theorem?64x3 + 48x2 + 36x + 2764x3 + 96x2 + 72x + 27256x4 192x3 + 144x2 108x + 81256x4 768x3 + 864x2 432x + 81 Show me how to do this one someone help What do Lucille's cells need in order for her body to function properly? How might a problem with Lucille's respiratory system lead to low levels of oxygen in her cells? Why does having low levels of oxygen in her cells make it difficult for Lucille to play soccer? What is an equation of the line that passes through the points (3, 8) and (1,0)? 25) Although their relationship has generally been very happy, when Jennifer gets angry at Gary, the handful of insensitive or unkind things that Gary has done to her over the years flood into her mind, biasing her to believe that Gary is no good for her. Jennifers conclusion may be based on how do you convert fractions to decimals? When did nomadic pastoralism first develop in Central Asia?A. 9,000 years agoB. 1206 - 1277 CEC. 550 BCED. 1271 - 1295 CE What is the climate like in summer of the Middle Atlantic states?cooltemperatehotcold