Answer: C
Step-by-step explanation:
The equation is in y=mx+b format. The y is the final amount that you will have to pay. The m in this case is the amount of money that you are paying for each individual month (which is $34.99). The x in this case is the number of months you are paying for (which is 1). And b is the starting fee that you have to pay in order to get a membership in the first place (but will not have to pay after the first month). Thus, seeing as there is 1 month's worth of payment and a starting fee tagged on, y would equal the average total cost for the first month of a gym membership.
X= number of tubs Kasey sold
3x= number tubs sister sold
Add the number sold by Kasey and her sister to equal the total sold (88).
x + 3x= 88
combine like terms
4x= 88
divide both sides by 4
x= 22 number tubs Kasey sold
Number Sold by Sister
3x= 3(22)= 66
CHECK:
x + 3x= 88
22 + 3(22)= 88
22 + 66= 88
88= 88
ANSWER: Kasey sold 22 tubs and her sister sold 66 tubs.
Hope this helps! :)
ANSWER

EXPLANATION
To find the average weight per bushel, we add all the three weight and divide by 3.

We convert all the mixed numbers to improper fraction to obtain,

The least common denominator for the fractions in the numerator is 8.
This implies that,

This simplifies to

This gives us,


I believe it’s 8 because 24 divided 75% is 32.
The pile contains 12 nickels and 9 quarters.
Let <em>x</em> = the number of nickels and <em>y</em> = the number of quarters.
Then, we have two equations:
(1) $0.05x + $0.25y = $2.85
(2) x = y +3
Substitute the value of <em>x</em> from Equation (2) into Equation (1).
0.05(<em>y</em>+3) + 0.25<em>y</em> = 2.85
0.05<em>y</em> + 0.15 + 0.25<em>y</em> = 2.85
0.30<em>y</em> = 2.85 – 0.15 = 2.70
y = 2.70/0.30 = 9
Substitute the value of <em>y</em> in Equation (2).
x = 9 + 3 = 12
The pile contains 12 nickels and 9 quarters.
<em>Check</em>: 12×$0.05 + 9×$0.25 = $0.60 + $2.25 = $2.85.