Answer: you spent 250 hours during your cleanup.
you spent 150 hours painting
Step-by-step explanation:
Let x represent the number of hours that you spent during your cleanup.
Let y represent the number of hours that you spent painting.
you earn $8 an hour cleaning up and $12 an hour painting last summer and you earned $3800 . it means that
8x + 12y = 3800- - - - - - - - - -- 1
You worked a total of 400 hours. This means that
x + y = 400
Substituting x = 400 - y into equation 1, it becomes
8(400 - y) + 12y = 3800
3200 - 8y + 12y = 3800
- 8y + 12y = 3800 - 3200
4y = 600
y = 600/4 = 150 hours
Substituting y = 150 into x = 400 - y, it becomes
x = 400 - 150
x = 250 hours
Answer:
P = 18.4 units
Step-by-step explanation:
Sides AB and CD are congruent and thus have the same length.
Sides AD and BC are congruent.
The length of side AB is found using the Pythagorean Theorem:
|AB| = √ [ 5² + 1² ] = √26
and
|BC| = √ [ 4² + 1² ] = √17
Then the perimeter is P = 2(√26) + 2(√17), or
10.20 + 8.25, or, to the nearest tenth,
P = 18.4 units
Answer:
It is 24 inches
Step-by-step explanation:
Multiply 24 by 8 to get 192. Then multiply 8 by 3 to get you answer.
:)
Infinitely many because if you take the top equation and multiply it by 2 you get the same equation. That means that any number you plug in for x is a solution
Answer:
a)125970
b)95040
c)35640
Step-by-step explanation:
a) selecting 12 player from 20 players can be one in 
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b) since each position has an identity permutations can be used so
Number of ways = 
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c) coach permutes 4 players for position other than centers in 
ways and selects center in 3 ways
so, number of ways = 
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