David is deciding between two parking garages. Garage A charges an initial fee of $7 to park plus $3 per hour. Garage B charges an initial fee of $4 to park plus $4 per hour. Let A represent the amount Garage A would charge if David parks for t hours, and let B represent the amount Garage B would charge if David parks for hours . Write an equation for each situation , in terms of t, and determine which garage would be cheaper if David needs to park for 2 hours .

David Is Deciding Between Two Parking Garages. Garage A Charges An Initial Fee Of $7 To Park Plus $3

Answers

Answer 1

Answer:

Step-by-step explanation:

Garage A = 7+3t

Garage B = 4+4t

Garage A = 7+6

Garage B = 4+8

B = Cheaper

Answer 2

Answer:

A = 3t + 7, B = 4t + 4, B is cheaper

Step-by-step explanation:

A = 3(2) + 7 = 6 + 7 = 13

B = 4(2) + 4 = 8 + 4 = 12


Related Questions

A map is drawn to a scale of 28 miles per inch. Fill in the table.
need some help

Answers

Answer:

inches: 0.5 miles: 14

inches: 1 miles 28

inches: 1.5 miles 42

Hope This Helps!!!

Which of the following values could represent the probabilities of complementary events? StartFraction 1 over 7 EndFraction and StartFraction 2 over 7 EndFraction 28% and 82% Two-fifths and Three-fifths 10% and 80%

Answers

Answer:

a

Step-by-step explanation:

Answer:

2/5 and 3/5

Step-by-step explanation:

Find the equation of the line.​

Answers

the line go through 2 points ( -4 ; -5 ) and ( 6 ; 4 )

ANSWER: [tex]y=\frac{9}{10}x -\frac{7}{5}[/tex]

ok done. Thank to me :>

Raisins and nuts were mixed in a bowl. If nuts made up five eighths of the mixture, what was the ratio of raisins to nuts

Answers

Answer:

3/8

Step-by-step explanation:

hope this helped

HELP ME PLEASE I NEED HELP WITH THIS

Answers

Answer:

V = 82,406.16 cm³

Step-by-step explanation:

Volume of a sphere

V = 4πr³/3

V = 4•3.14•27³/3

V = 247,218.48/3

V = 82,406.16 cm³

Need help on HS geometry

Answers

Answer:

RS = 46 , RT = 38

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle (mid segment) is half the length of the third side, then

RS = 2 × UW = 2 × 23 = 46

RT = 2 × VW = 2 × 19 = 38

if we changed the –0.14 to a 2 in the equation, what would happen to the graph?

Answers

If -0.14 is changed to 2, the graph would become a positive graph, or it would be steeper, because it has a positive slope

The equation of the graph is given as:

[tex]y = -0.14x + 3[/tex]

The above equation is a linear equation, which is represented as:

[tex]y =mx + c[/tex]

Where m represents the slope of the linear equation.

By comparison, we have:

[tex]m = -0.14[/tex]

i.e. the slope of the equation [tex]y = -0.14x + 3[/tex] is -0.14

When -0.14 is replaced with 2, the equation becomes

[tex]y = 2x + 3[/tex]

And the slope of the new equation [tex]y = 2x + 3[/tex] is

[tex]m =2[/tex]

2 is greater than -0.14, and 2 is positive.

This means that the graph would become a positive graph, or it would be steeper, because it has a positive slope

Read more linear equations at:

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View the lane below and calculate the slope
by using the slope formula

Answers

Answer:

slope = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 12) ← 2 points on the line

m = [tex]\frac{12-0}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

Answer:

The slope of this line is 4.

Step-by-step explanation:

Pick any 2 points on the graph you want, just make sure they land perfectly on where the line meets the grid. I'll pick (1, 4) and (2, 8) here.

The slope formula is:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

where (x1, y1) and (x2, y2) are the first and second points you picked above. Now, all you need to do is plug those 2 points into the formula and solve.

[tex]m=\frac{8-4}{2-1}\\\\m=\frac{4}{1}\\\\m=4[/tex]

The slope of this line is 4.

4/7 + 21/30 x ((21 x 4) + (23 x 8)) = n
need in simplest form

Answers

n= 340.36, 4/7 + 21/30 times (84 + 184)= 340.36

Please help me 87x89 PLEASE

Answers

The answer to 87x89 is 7,743.

Answer:

7743 :)

Step-by-step explanation:

Question 1
Without solving, what can you tell about the solution to
this equation?
b + 14
(b + 14)
2
1 / 116
There is no solution.
There are infinitely
many solutions.
b is equal to 1 only.
b is equal to 0 only.

Answers

Answer:

there are infinitely many solutions

Step-by-step explanation:

1/2(b+14) is the same as (b+14)/2, so no matter what number you plug in for b, both sides will always be equal. thus, there is infinitely many solutions.

hope this helps <3

Answer: there is no solution.

Step-by-step explanation:

We can see mentally that when we multiply both sides by 2, we will be left with b+14 on both sides which will cancel out ( “b” will cancel out) so there is no solution.

if each quadrilateral below is a square,find the missing measures​

Answers

Answer:

∆EFG = 90°

∆GDH = 45°

∆FEG = 45°

∆DHG = 90°

The measure of the given angles are -

m ∠EFG = 90°

m ∠EFG = 45°

m ∠FEG = 45°

m ∠DHG = 45°

What is square?

A square is a quadrilateral with all sides congruent to one another.

Given is to find the measure of angles given in the question.

We can write the measure of angles as -

m ∠EFG = 90°

m ∠EFG = 45°

m ∠FEG = 45°

m ∠DHG = 45°

Therefore, the measure of the given angles are -

m ∠EFG = 90°

m ∠EFG = 45°

m ∠FEG = 45°

m ∠DHG = 45°

To solve more questions on angle measurements, visit the link-

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Help asap pls!!! Put steps if possible 3

Answers

Answer:

i. 15.4

ii.45.2

Step-by-step explanation:

correct me if im wrong

tnx

HURRYYYY MATH PEOPLE!!! I ONLY HAVE 3 MINUTES!!! ​

Answers

Answer:

x > -4

Step-by-step explanation:

- 16x < 64

Divide by -16 on both sides. (Remember you always do the opposite on these type of questions!)

x > -4

(When dividing or multiplying by a negative the inequality sign flips!)

Hope this helps and have a good day!

if x+y=10 and x-y =6 what is the answer of x cube - y cube fast​

Answers

Answer:

x+y=10 which means that x=10-y

Replace 10-y in the other equation which gives you:

10-y-y=6

10-2y=6

-2y=-4

y=2

Replace 2 in any of the 2 equations same answer for both:

x+y=10

x+2=10

x=8

So,

[tex] {x}^{3} - y^{3} [/tex]

[tex] = {8}^{3} - {2}^{3} [/tex]

=512-8

=504

Hope this helps!

Select the correct answer. Simon used these steps to solve an equation: Step 1: -6(x + 7) = 2(x − 11) Step 2: -6x − 42 = 2x − 22 Step 3: -8x − 42 = -22 Step 4: -8x = 20 Which property did he use to get from step 3 to step 4? A. addition property of equality B. distributive property C. subtraction property of equality D. transitive property

Answers

From the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

What is the Addition Property of Equality?

The addition property of equality states that to balance an equation, whatever value we add to one side of an equation must be added also from the other side of the equation.

In step 3, we have the following equation:

-8x - 42 = -22

Simon applied the addition property of equality by adding 42 to both sides of the equation to get -8x = 20 in step 4.

Thus:

-8x - 42 + 42 = -22 + 42

-8x = 20

Therefore,  from the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

Learn more about addition property of equality on:

https://brainly.com/question/1542520

can anyone help me pls ??

Answers

Answer:

A

Step-by-step explanation:

Volume of a cylinder= πr² *height.height=volume÷πr²height=250÷π(which in this case we are using 3.14)3²height=8.85=A

Andrew washed 32 car windows in 4 hours. At this rate, how many windows did he wash in 8 hours?

Answers

8 hours is twice as many as 4:

Multiply the number of windows in 4 hours by 2:

32 x 2 = 64 windows in 8 hours

Answer:

64

Step-by-step explanation:

32÷4=8 8 car windows per hour. 8×8=64

Write
48
:
132
:
84
in its simplest form.

Answers

Answer:

4:11:7

Step-by-step explanation:

Find the GCF, or greatest common factor of the 3 numbers. In this case it is 12. To simplify, divide each number by 12

Answer:

4:11:7

Step-by-step explanation:

please mark me as brainlest

A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of ​$24. Option B is a commission rate of 10​% on weekly sales. How much does she need to sell this week to earn the same amount with the two​ options?

Answers

Answer: the answer is $9,600

Step-by-step explanation:

option A = 40(24)   =  option B = x (.1)       where x is her gross sales

40(24) = x(.1)

40(24)/.1 = x = sales = $9600

PLZZ HELP

Order these numbers from least to greatest. ​

Answers

7.1 ,7.109 ,7.1091 ,7.19
7.1, 7.109, 7.1091, 7.19

How many factors does 60 have? A)10 B) 8 C) 12 D) 4​

Answers

Answer:

60 have 12 factors :1,2,3,4,5,6,10,12,15,20,30,60

The number 60 has 12 factors :)

Describe the transformation

Answers

Answer:

6 to the right

Step-by-step explanation:

Yes, it might be scary at first sight bexause of the square mark. But it is no more special than any other graph transformation. The sqare mark here nly indicates that this graph is a parabola, and the 6 inside shifts the graph (be careful, it is negative so it moves the graph to the RIGHT, by 6 -- the square mark doesnt apply to that).

Which of the following groups cannot represent the side lengths of a triangle.
A.49,20,17
B.7,11,16
C.9,13,21
D.30,9,27

Answers

Answer:

try B for an answer, hope it helps

Alexandra wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. How much will Option 2 be worth after 20 years?


A.

$6727.50


B.

$3000.00


C.

$7400.25


D.

$5604.41

Answers

d

$5604.41 will be worth after 20 years I think

Compound interest is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

Option 2 will be worth $7400.25 after 20 years.

Option C is the correct answer.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

Option 2.

1st year.

Principal = 1100

2nd year.

Principal = 1210

3rd year.

Principal = 1331

(1210 - 1100) / 1100 x 100

= 110/1100 x 100

= 10%

This means,

It is increasing at a rate of 10% annually.

Now,

P = $1100

r = 10%

n = 1

t = 20

A = P [tex](1 + r/n)^{nt}[/tex]

A = 1,100 [tex](1 + 0.1)^{20}[/tex]

A = $7400.25

Thus,

Option 2 will be worth $7400.25 after 20 years.

Option C is the correct answer.

Learn more about compound interest here:

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Which operation should you perform first when you simplify 63 − (2 + 54 × 6) ÷ 5? A division B multiplication C subtraction D addition

Answers

Answer:

start with what's inside the parenthesis so in this case do 54x6 first then solve (2+ whatever the answer was by multiplying 54 times 6  

Step-by-step explanation:

Answer A division

WILL GIVE BRAINLIEST HELP ASAP

Answers

Step-by-step explanation:

I cannot draw here, but I can show and tell you how to find 2 points of the individual lines that you can then mark on the chart and draw the line through them.

1)

y = 7/2 x - 2

so, the first and easiest point is the y-intercept (where x = 0).

x = 0, therefore, y = -2

so, the first point is (0, -2)

for the second point : what value of x would eliminate the fraction and make this whole integer number calculations ?

well, x = 2 !

so,

y = 7/2 × 2 - 2 = 7 - 2 = 5

and our second point is (2, 5)

2)

y = -6x + 3

the same principles. first x = 0, therefore y = 3

the first point is (0, 3)

for the second point we can choose any integer x, as all the other terms are integer too.

let's pick x = 1

y = -6×1 + 3 = -6 + 3 = -3

so, the second point is (1, -3)

3)

y = -5

this just means that for every possible value of x the resulting y value is -5.

that means it is a horizontal line through y = -5 or (0, -5)

4)

y = 6/5 x + 1

the same principles. x = 0, therefore y = 1

the first point is (0, 1)

for the second point, again, what x eliminates the fraction and makes all an integer operation ?

well, x = 5.

y = 6/5 × 5 + 1 = 6 + 1 = 7

ok, 7 is off the chart, so let's use x = -5 instead.

y = 6/5 × -5 + 1 = -6 + 1 = -5

so, the second point on the chart is (-5, -5)

The ratio of three number is 5:6:7. If the sum of the numbers is 54. What
are the numbers?

Answers

Let the numbers be 5x, 6x and 7x respectively.Therefore, by the problem

[tex]5x + 6x + 7x = 54 \\ = > 18x = 54 \\ = > x = 3[/tex]

So, the numbers are (5 × 3) i.e., 15, (6 × 3), i.e., 18, (7 × 3), that is 21.

Answer:

The numbers are 15, 18 and 21.

Hope you could get an idea from here.

Doubt clarification - use comment section.

what is the recriprocal of 8

Answers

the reciprocal of 8 is 1/8

Answer:

answer = 1/8

Step-by-step explanation:

answer = 1/8

a store is having clearance sale where merchandise on the sales racks is reduced by 80% from the original price. if a jacket was originally priced at $76, what is the sale price?

Answers

Answer:

Sale price is [tex]15.2\$[/tex]

Step-by-step explanation:

Price is reduced by 80% from the original price.

Here original price is $76

Sale price is

[tex]=76-76\times\frac{80}{100}\\\\=0.2\times76\\\\=15.2\$[/tex]

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