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Eduardwww [97]
3 years ago
12

3 A Gas station A charges $3.50 per gallon of gas plus 58 for a car wash. Gas station B charges $3.25 per gallon of gas plus S10

for a car wash. How many gallons of gas must a customer purchase for the total cost to be the same at both gas stations? ​
Mathematics
1 answer:
Hoochie [10]3 years ago
4 0

9514 1404 393

Answer:

  8 gallons

Step-by-step explanation:

The $2 difference in the price of a car wash is made up by the gas purchase at the rate of $0.25 per gallon. So, it takes ...

  $2/($0.25/gal) = 8 gal

to make the costs the same.

The customer must purchase 8 gallons for the total cost to be the same at both gas stations.

___

  3.50g +8 = 3.25g +10 . . . . costs at each station for g gallons of gas + wash

  0.25g = 2 . . . . . . . . . subtract 3.25g+8 from both sides

  g = 2/.25 = 8 . . . . . . the way we did it above

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How can the order of operations be used to simplify expressions?
Lapatulllka [165]
Order of Operations, also known as PEMDAS (Parentheses, Exponents, Multiplication & Division, Addition & Subtraction), can help to simplify an equation by guiding you through the steps to solve it.

This is because it tells you to solve the parentheses. If there is none, but you've already done this, you solve for exponents, etc. 

The progressive soling of the equation not only makes it physically shorter, but also brings you closer to the answer.

Hope this helps, and I was the brainliest! :)

6 0
3 years ago
Label each of the triangles illustrated below
AVprozaik [17]
A: Equilateral
B: Obtuse
C: Obtuse
D: Right
E: Obtuse
F: Acute
8 0
2 years ago
Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best
Delicious77 [7]

Answer:

First bank = $6792

City bank = $6803

Star bank = $6817  

Step-by-step explanation:

The lists of banks and their annual interests rates are attached.

For first bank, since the interest is 7.5%, The total interest = 7.5% of $20000 = 0.075 × $20000 = $1500

For city bank, since the interest is 8.2%, The total interest = 8.2% of $20000 = 0.082 × $20000 = $1640

For Star bank, since the interest is 9%, The total interest = 9% of $20000 = 0.09 × $20000 = $1800  

The loan plus interest for the banks annually are:

First bank = $20000 + $1500 = $21500

City bank = $20000 + $1640 = $21640

Star bank = $20000 + $1900 = $21900

The monthly payments for the banks are:

First bank = $21500 / 12 months = $1792

City bank = $21640 / 12 months = $1803

Star bank = $21800 / 12 months = $1817

Since The cost to run the gym each month is $5,000. Ed's total monthly expenses for each loan option = monthly payments + cost for each month. It is calculated as:

First bank = $5000 + $1792 = $6792

City bank = $5000 + $1803 = $6803

Star bank = $5000 + $1817 = $6817  

3 0
2 years ago
Which congruence theorems can be used to prove △ABR ≅ △ACR? Check all that apply. HL SAS SSS ASA AAS
Verizon [17]

HL (It's a right triangle and the hypotenuse and leg are congruent. This can also be thought of as SAS.)

SAS (Side angle side. All congruent.)

SSS (Line AR is shared by both triangles. A line is always congruent on itself. The other two are self explanatory.)

ASA and AAS cannot be used because we can only confidently confirm one angle of each triangle.

5 0
3 years ago
Read 2 more answers
The ratio of in-state to out-of-state visitors to the amusement park was 4 to 3. If there were 14,000 visitors to the park, how
exis [7]

Answer:

<em>6000 people</em>

Step-by-step explanation:

Given the ratio of in-state to out-of-state visitors to the amusement park was 4 to 3, the total ratio will be 4+3 = 7

Total visitors in the park = 14,000 visitors

Number of people that were out of state = 3/7 * 14000

Number of people that were out of state = 3 * 2000

Number of people that were out of state = 6000

<em>Hence there were 6000 people out of state.</em>

8 0
2 years ago
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