9514 1404 393
Answer:
a, c, b
Step-by-step explanation:
Collect terms, subtract the constant, divide by the y-coefficient.
(a) 4y + (y - 1) = 29 ⇒ y = 6
(c) (2y + 3) - 4 = 9 ⇒ y = 5
(b) 4y - y + 1 = 13 ⇒ y = 4 . . . . . this equation is not what you have written
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<em>Additional comment</em>
The second equation suffers from a typo, so your answer may vary.
$27 x 18 students = 486 actual cost.
$30 x 10 students = 300 estimated total cost using compatible numbers.
$20 x 20 students = 400 estimated total cost using compatible numbers. (better option because it is nearer to the actual cost)
Compatible numbers are numbers that can easily be multiplied or divided using mental computation.
Compatible number for 27 and 18 can be: 30 and 20 OR 20 and 20 OR 30 and 10 OR 20 and 10.
However, there is a rule in multiplying the compatible numbers, when one number is increased the other number must be decreased.
So 27 can be increased to 30; while 18 can be decreased to 10 to get a product of 300.
27 can be decreased to 20; while 18 can be increased to 20 to get a product of 400.
The question is incomplete. Here is the complete question.
When full, one of the pools of Sapphire Island will hold 43,000 gallons of water. The pool currently holds 20,000 gallons of water and it is being filled at a rate of 130 gallons per minute. Write an equation that can be used to find h, the number of hours it will take to fill the pool from its current level. Explain the steps you used to write your equation.
Answer and Step-by-step explanation: The total capacity of the pool is 43,000 gallons. Initially, it has 20,000 gallons.
The rate is 130 gallons per minute and since it wants in hours:
1 minute =
hours
then:
rate = 130 ÷ 
rate = 130*60
Equation for the number of hours to fill the pool:
20,000 + 130*60(h) = 43,000
20,000 + 7800h = 43,000
1375, separate the figure into two separate rectangles then add it up