The inequality representation of the scenario is :
- 5m + 8c ≤ 25
- m = 1 and c = 1
- Number of mugs = m
- Cost per mug = $5
- Number of ground coffee = c
- Cost per ground coffee = $8
- Total amount to spend = $25
- (Number of mug × cost per mug) + (Number of ground coffee × cost of ground coffee) ≤total amount to spend
- Representing as an inequality : 5m + 8c ≤ 25
Combination of m and c that makes the inequality true :
- Using trial by error :
- m = 1 and c = 1
- 5(1) + 8(1) ≤ 25 ; 13 ≤ 25
Hence, m = 1 and c =1 are valid values for the expression.
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The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².
<h3>What is the area of a heptagon?</h3>
Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.
The area of the regular heptagon is found out using the following formula.

Here, (<em>a</em>) is the length of the heptagon.
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².
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Step-by-step explanation:
6(p+3)-6(p+5)=6p+18-6p-30=-12
It is C. Associative property of multiplication
<h2>
Miranda's rate is 12 hours per mies.</h2>
Step-by-step explanation:
Given by question,
Miranda began her ride from home merely that she was 50 miles away from home after 4 hours of riding.
To find, Miranda's rate = ?
2 hours later she was 974 miles from home.
∴ 2 hours she rode = 74 miles - 50 miles
Miranda rides 24 miles in 2 hours.
∴ Miranda rides in 1 hour =

=

Thus, Miranda's rate is 12 hours per mies.