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inna [77]
3 years ago
10

With Hurtz Rent-A-Car, you can rent a car for $60 a week plus 25 cents for each mile driven. Upto how many miles can you drive i

f you have $272.5?
1. If p is the number of miles driven, then the cost of renting the car in dollars is

2. What is the inequality?

3. You can drive up to miles?
Mathematics
1 answer:
kodGreya [7K]3 years ago
6 0

Answer:

p+0.25=272.5

Step-by-step explanation:

just add 0.25 on both off the equation

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6. A cookie jar contains 315 M&M's. There are only brown and
Romashka [77]

The system of equations representing the problem is

b+g=315\\8b-g=0

and we have 35 brown M&M's and 280 green M&M's in the cookie jar.

<h3>Formulating the equations</h3>

If we let b represent the number of brown M&M's and g the number of green M&M's, then, from the sentence

"...<em>A cookie jar contains 315 M&M's. There are only brown and green M&M's in the jar</em>..."

we can construct the algebraic equation

b+g=315

Also, from the sentence

"...<em>The number of green M&M's is 8 times that of the brown M&M's</em>..."

we can construct the algebraic equation

g=8b\implies 8b-g=0

overall, we have the system of equations with unknowns b and g

b+g=315\\8b-g=0

<h3>Solving the system of equations</h3>

Adding the two equations, we get

(b + 8b) +(g + (-g))=315+0\\9b=315\\\\\dfrac{9b}{9}=\dfrac{315}{9}\\\\b=35

Substituting this value for b into the relationship g=8b

g=8b\\g=8(35)=280

Therefore, we have 35 brown M&M's and 280 green M&M's

Learn more about word problems and systems of equations here brainly.com/question/14111058

3 0
3 years ago
Read 2 more answers
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