Answer:
Step-by-step explanation:
3y+2x=30
3y = 30-2x
y=30/3 - 2/3x
y=10-2/3x
now plug in the options
1) 0,10 and 15,0
y=10-2/3*0 where x is 0 and thus y equals y=10-0 --> y =10
For (15,0), y=10-2/3*15 which becomes y=0 so the (15,0) pair works
Which mean line joining 0,10 and 15,0 fits the equation. Now since we want to stay below the $30, area below it is what will get them to stay within budget
Problem One
Pretty nice little application problem. The thing to do is compare money with money and cubic yards with cubic yards.
Givens
1 cubic yard costs 98 dollars.
x cubic yards costs 72.59 dollars.
1 cubic yard = 3*3*3 = 27 cubic feet.
Length = 10 feet
Height = 3/12" = 1/4 foot.
Solve
27 cubic feet / 98 dollars
x cubic feet / 72.56 Cross multiply
98x = 27* 72.56
x = 27 * 72.56 / 98
x = 19.99 cubic feet.
L * W * H = 19.99 cubic feet (call it 20. We're going to be rounding anyway.
10*1/4*W= 20
H = 4 * 20/10 = 8 feet which is what you had. <<<< Answer
We agree so either both of us are wrong or we are both right. I'm an optimist. I choose to believe we are both right.
Problem Two
When you get the answer correct, there is not much to add. I would agree with what you wrote. There is one note that you should observe. Be very careful of answer A. That is a snake in the grass. It's true it is a constant, but it is not a term. 0.25 is what is charged per day and it is just a coefficient of x.
Answer:
it will take 9 hours to empty the pool.
Step-by-step explanation:
The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is
30 × 18 × 4 = 2160 ft³
If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence(initial amount of water in the pool when completely full).
d represents the common difference(rate at which it is being pumped out)
n represents the number of terms(hours) in the sequence.
From the information given,
a = 2160 degrees
d = - 216 ft3
Tn = 0(the final volume would be zero)
We want to determine the number of terms(hours) for which Tn would be zero. Therefore,
0 = 2160 - 216 (n - 1)
2160 = 216(n - 1) = 216n + 216
216n = 2160 - 216
216n = 1944
n = 1944/216
n = 9
Answer:
494
Step-by-step explanation:
Frist start with 5x12=60 5x11=55 and 12x11=132
than u need to add all of them also when you get he answer then u need to mutiply 247x2=494
Hope that help u with your question
Answer:
6/10 or 3/5
Step-by-step explanation:
4/5 = 8/10
8/10 - 2/10 = 6/10 or 3/5
