Aaliyah is deciding between two parking garages. Garage A charges an initial fee of $8 to park plus $2 per hour. Garage B charges an initial fee of $4 to park plus $3 per hour. Let AA represent the amount Garage A would charge if Aaliyah parks for tt hours, and let BB represent the amount Garage B would charge if Aaliyah parks for tt hours. Graph each function and determine the interval of hours parked, t,t, for which Garage A is cheaper than Garage B.

Answers

Answer 1

The interval of hours for which Garage A is cheaper than Garage B is t > 4.

Let A represent the amount Garage A would charge if Aaliyah parks for t hours, and let B represent the amount Garage B would charge if Aaliyah parks for t hours.

Garage A charges an initial fee of $8 to park plus $2 per hour. Hence:

A = 2t + 8  

Garage B charges an initial fee of $4 to park plus $3 per hour. Hence:

A = 3t + 4

For Garage A to be cheaper than Garage B:

2t + 8 < 3t + 4

8 - 4 < 3t - 2t

4 < t

t > 4

The interval of hours for which Garage A is cheaper than Garage B is t > 4.

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Related Questions

What was a social effect of Queen Hatshepsut’s economic policies?

Egypt experienced a decrease in status among other countries.
Religious reform became possible as peasants gained wealth.
The kingdom was peaceful and prosperous.
Workers became unhappy with the pharaoh.

Answers

Answer:

the answer is the kingdom was peaceful and prosperous

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

6. Five more than eight times a number is greater than four less than
seven times the number. Write an inequality to represent this relationship.
Then solve the inequality. *

Answers

8x+5 > 7x -4

X+5> -4

X> -9

Answer:

8x + 5 > 7x - 4

x > -9

Step-by-step explanation:

Five more than eight times a number

8x + 5

is greater than

>

four less than seven times the number

7x - 4

All together:

8x + 5 > 7x - 4

-------------------------------

Solve:

Subtract 7x from both sides

x + 5 > -4

Subtract 5 from both sides

x > -9

The 4th grade class met their goal of reading of certain amount of hours during the fall. They earned their skiing trip this winter sponsored by the parent-Teacher organization. if each ski ticket costs $28 and there are 86 fourth grades, how much does PTO need to pay for the tickets?

Answers

Answer:

$2408.

Step-by-step explanation:

28 * 86

MATHEMATICAL CONNECTIONS Use the given information to write and solve a system of linear equations to find the values of $x$x​ and y$y$y​ . The text reads triangle L M N is congruent to triangle P Q R, the measure of angle L equals 40 degrees, the measure of angle M equals 90 degrees, the measure of angle P equals left parenthesis 17 x minus y right parenthesis degrees, the measure of angle R equals left parenthesis 2 x plus 4 y right parenthesis degrees. The equations are is equal to 40$=\ 40$= 40​ and is equal to 50$=\ 50$= 50​ . Question 2 $x\ =$x =​ and $y\ =$y =​

Answers

The value of x and y is 2 and 11.5

The sum of the interior angle of a triangle is 180 degrees.

Since LMN and PQR are similar, hence:

m<L = m<P

m<M = m<Q

m<N = m<R

Given the following parameters

m< L = 40 degrees

m<M = 90 degrees

m<P = 17x - y

m<R = 2x + 4y

Get the measure of m<N

m<M + m<N + m<L = 180

90n+ m<N + 40 = 180

m<N = 180 - 130

m<N = 50degrees

Since m<P = m<L, hence;

17x - y = 40 ....... 1

Also m<R = m<N

2x + 4y = 50 .......... 2

Solve simultaneously

17x - y = 40 ....... 1  * 4

2x + 4y = 50 .......... 2 * 1

___________________________

68x - 4y = 160

2x + 4y = 50

Adding both equations

68x + 2x = 160 + 50

70x = 210

x = 2

Substitute x = 3 into the equation 2x + 4y = 50

2(2) + 4y = 50

4 + 4y = 50

4y = 50 - 4

4y = 46

y = 46/4

y =  11.5

Hence the value of x and y is 2 and 11.5

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Find the length of DF

Answers

Check the picture below.

Answer:

the other person was correct

the image of the point (6, 4) under a translation is (4, 7). Find the coordinates of the image of the point (-2, 2) under the same translation.

Answers

Answer: (-4, 5)

Step-by-step explanation:

Under the same rule of translation, we can determine the coordinates of the image of the point (-2, 2):

(x, y) → (x - 2, y + 3)

(-2, 3) → (-2 - 2 , 2 + 3) → (-4, 5)

Answer:

20

Step-by-step explanation:

because it needed in the right panel not left to the 52 panel

1. Given f(x) = 3x -4 and g(x)=-2x + 7. evaluate:
g(f(-2))

Answers

Answer:

[tex]f(x) = 3x - 4 \\ g(x) = - 2x + 7 \\ g(f(x)) = - 2(3x - 4) + 7 \\ g(f(x)) = - 6x + 8 + 7 \\ g(f(x)) = -6 x + 15 \\ g(f( - 2)) = - 6( - 2) + 15 \\ g(f( - 2)) = 12 + 15 \\ \boxed{g(f( - 2)) = 27}[/tex]

48% of $650

19.6% of $170.65

Answers

Answer:

the answers are easy here is the answer if you don't know.

1. 312

2. 33.45

Train A has a speed 35 miles per hour greater than that of train B. If train A travels 300 miles in the same times
train B travels 195 miles, what are the speeds of the two trains?

Answers

Step-by-step explanation:

That's the answer! hope it helped!

please help me for math ill give branliest

Answers

(5^3 * 2^-6)^-2 = 2^w/c^x

we can first reciprocate both sides, note that z^-b = 1/z^b where z is real and cannot equal zero and b is real. So reciprocating just turns it into z^b, in this case, imagine z = (5^3 * 2^-6) and b = 2.
Note that reciprocal also means ‘to the power of -1’ and using exponent rules means (z^-b)^-1 = z^(-1*b*-1) = z^b

Therefore,

[(5^3 * 2^-6)^-2]^-1 = [2^w/c^x]^-1

z^b = c^x/2^w

(5^3 * 2^-6)^2 = c^x/2^w

using exponent rules, including reciprocation,

5^6*2^-12 = c^x/2^w

and again,

5^6/2^12 = c^x/2^w

now 5 and 2 are relatively prime (do not have any common factors); in fact, they are both distinct prime numbers, so they would not share any factors. This also means that the numerator is in its ‘prime factorised’ form, as well as the denominator. I am assuming we are looking for integer solutions.

Therefore, the solutions naturally come out.

c = 5

x = 6

w = 12

GEOMETRY Find the the area of the polygon with the given vertices.
C(1,1) D(1,4)E(4,4)F(4,1)
pls give answer
worth 100

Answers

Answer:

sdd

Step-by-step explanation:

seds

8th Grade Math
Janelle is saving $6 per week to buy a new bike. she has $85 on week five. How do you write this in slope intercept form?

Answers

Let y-axis saving
X-axis weeks
Slope change in y-axis/x-axis
If at week 5 she has 85
85=6(5)+C
C=55
Y=6x+55

the sum of three consecutive no. is 7 and less than 700 .find the no.​

Answers

Answer:

Sorry, the question isn't clear enough to answer.

Step-by-step explanation:

Sorry, the question isn't clear enough to answer.

As a puppy, Cricket weighed 2 1/4 pounds. At her 1-year check-up with the vet, Cricket weighed 9.5 pounds. How much weight did Cricket gain between the time she was a puppy and her 1-year check-up? Enter your answer as a decimal or simplified mixed number.
A. 6.25
B. 12.75
C. 11.75
D. 7.25​

Answers

Answer:

D. 7.25

Step-by-step explanation:

9.50-2.25=x

9.50-2.25= 7.25

The weight gained by cricket in between the time she was a puppy and her 1-year checkup is 7.25 pounds. Hence, option D is correct.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the data provide by the question,

Initial weight of puppy = 9/4 = 2.25 pounds.

After 1-year, weight = 9.5 pounds.

Weight gained by the puppy = 9.5 - 2.25 = 7.25

Therefore, weight gained by the puppy is 7.25 Pounds.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ2

Can someone help? Show work

Answers

Given the isosceles right triangle in which each of its legs has a measure of 4:

Let c = hypotenuse
a = one of the legs of the triangle
b = the other leg of the triangle

Use the Pythagorean Theorem to solve for the measure of the hypotenuse:

c^ 2 = a^2 + b^2

c^ 2 = (4)^2 + (4)^2
c^ 2 = 16 + 16
c^2 = 32

Next, take the square root of each side of the equation to solve for c:

√(c^2) = √(32)

c = 4√(2)

Therefore, the correct answer is Option 3) 4√(2).

help!! show all steps!
Find SURFACE AREA ​

Answers

Ok done. Thank to me :>

Answer:

  132 cm²

Step-by-step explanation:

The area of the two triangular ends is ...

  A = 2(1/2)(bh) = (4 cm)(3 cm) = 12 cm² . . . . . area of both triangles

The area of the three rectangular faces is ...

  A = (b1)(h) +(b2)(h) +(b3)(h) = (b1 +b2 +b3)(h)

  = (4 cm +3 cm +5 cm)(10 cm) = 120 cm²

Then the total surface area is ...

  triangle area + rectangle area = (12 cm²) +(120 cm²) = 132 cm²

What percent of the bottle of apple juice is water?

Answers

percent of water is: 32/80*100= 40%

If 2x +4= 36, what is the value of x?

Answers

Answer:

2x + 4 = 362x = 36-42x = 32x = 32/2x = 16

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

how many times can henry expect to roll a 4 if he rolls a dice 120 times

Answers

Answer: Varies

Step-by-step explanation:

There's a 1 / 6 chance each time.

While Dr. Andy operated, he thought of consecutive odd integers. His intensas
such that 4 times the sum of the first and fourth was 12 greater than 3 times them
the second and third. What were the first four integers on Dr. Andy's list?

Answers

Let's start with the two consecutive numbers. We don't know what are the two numbers that are side by side (consecutive), so we'll use variables but with a twist...instead of x and y, we'll use x for the first number and x+1 for the other number because the other number is 1 more than the value of x. So part of the problem looks like this: (x)+(x+1).

The problem says "the sum of one-third of the first and one-fourth of the second equal 9." One-third of the first would be 1/3(x) and one-fourth of the second would be 1/4(x+1) so if the sum is 9, then the problem is:

1/3(x)+1/4(x+1)=9.

 

Since we need to solve for x, we must remove the fractions. Right now they have different denominators so we need to make them the same. The least common denominator is 12 so that's the denominator to use, thus...

1/3x becomes 4/12(x) and 1/4(x+1) becomes 3/12(x+1).

 

Now the equation is 4/12(x)+3/12(x+1)=9

 

Multiply both sides by 12 so the denominators are gone:

 

[12•]4/12x+3/12(x+1)=9•12

4x+3(x+1)=108

 

Using distribution, it's now 4x+3x+3=108. Continuing on with the math...

7x+3=108

7x=105

x=15

 

We found x! If x=15 the the next number must be 16. Let's check the math: Does 1/3(15)+1/4(16)=9?

5+4=9 and 9=9 so YES! The numbers are 15 and 16

what pattern do you noticed for each column​

Answers

Answer:

If you look at the "Standard Form" column, you can take any number from an upper row and divide it by 4 to get the number in the row below it.

For example: You can take 256 and divide it by 4, and that will give you 64. Like wise, if you take 64 and divide it by 4 you will get 16.

This tells us that every time you add 4 to the equation, your answer will keep increasing 4 times.

Step-by-step explanation:

Hope that makes sense :)

If you still don't get it, please let me know.

Use the information given to enter an equation in standard form.
(27,31) and (37,45) are on the line.
WHATS THE ANSWER TO THIS??

Answers

Answer:

y - 1.4x = - 6.8

Step-by-step explanation:

To find the equation: find the slope, use point-slope form to calculate the equation, then convert the equation to standard form.

Slope: [tex]\frac{45-31}{37-27} = \frac{14}{10} = 1.4[/tex]

Use point slope form: y - y₁ = m(x - x₁)

Plug in x = 27, y = 31, and m = 1.4

y - 31 = 1.4(x - 27)

y - 31 = 1.4x - 37.8

y = 1.4x - 6.8

Convert this into standard form: ax + by = c

y - 1.4x = - 6.8

solve pls brainliest

Answers

Answer:

4/4, 12/3, -37

Step-by-step explanation:

an integer is a whole number thats not a fraction, but can be negative

Estimate the sum of 462+526+856

Answers

So first round them to the nearest hundred so it’ll be 500+500+900. Then add them together to get 1900

Answer: 1844 because you just simply add 462+526+856=1844.

Data gathered on the shopping patterns during the months of April and May of high school students from Peanut Village revealed the following. 38% of students purchased a new pair of shorts (call this event H), 15% of students purchased a new pair of sunglasses (call this event G) and 6% of students purchased both a pair of short and a pair of sunglasses.

Answers

Where's your question?

Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

Please make sure the explain each step

Answers

Answer:

The axis of symmetry for f(x) is at x = 4 because it splits the function in half. I found it by looking at the vertex of the parabola and using the x-value as the axis of symmetry.

The axis of symmetry for h(x) is at x = -2 because it splits the function in half. I found it by looking at the vertex of the parabola and using the x-value as the axis of symmetry.

please make me Brainliest! : )

Make y the subject of the formula
w=x^2-2yz

Answers

Answer:

Solve for y by simplifying both sides of the equation, then isolating the variable.

y = x^2/2^z - w/2z

Step-by-step explanation:

Answer:

w=x^2-2yz

x^2-w=2yz

x^2-w=y

2z

Step-by-step explanation:


















write the equation in general form

Answers

Step-by-step explanation:

here is your answer hope you will enjoy and mark me as brainlist

thank you

Each cube in the prism is one cubic unit.

What is the volume of this rectangular prism?

Enter your answer in the box.

Answers

Answer:

i got 120 because i think you gotta multiply the bottom front colom and right colum and the front row

Answer:

I think its 120

Step-by-step explanation:

you would do length x width x height

6 x 5 x 4

6 x 5 = 30

30 x 4 = 120

therefore the volume is 120 units squared

The perimeter of a rectangle is 78 units. The length is 5 units more than the width. Find the length.

Answers

Answer:

W = 8.5 units; L = 30.5 units

Step-by-step explanation:

The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively.  Here, L = 3W + 5.  Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W  =  2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units  

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