Answer:
27/35 is the exact answer
7/10 is an estimate
Step-by-step explanation:
4/7+2/10
Simplify the fraction
4/7+1/5
The common denominator is 35
4/7*5/5 + 1/5 *7/7
20/35 + 7/35
27/35
To estimate
4/7 is close to 1/2
2/10 is close is 1/5
1/2 + 1/5 =
5/10 + 2/10 = 7/10
Answer:
x = -5, x = -6
Step-by-step explanation:
After canceling common terms from numerator and denominator, there are two factors remaining in the denominator that can become zero. The vertical asymptotes are at those values of x.
The denominator will be zero when ...
x + 5 = 0 . . . . at x = -5
x + 6 = 0 . . . . at x = -6
<span>1.You should set up the long division.
</span>
2 <span>Calculate 43 ÷ 7, which is 6 with a remainder of 1.
</span>
3 <span>Bring down 1, so that 11 is large enough to be divided by 7.
</span>
4 <span>Calculate 11 ÷ 7, which is 1 with a remainder of 4.
</span>
5 <span>Bring down 8, so that 48 is large enough to be divided by 7.
</span>
6 <span>Calculate 48 ÷ 7, which is 6 with a remainder of 6.
</span>
7 <span>Therefore, 4318 ÷ 7 = 616 with a remainder of 6.
</span><span>
616 with</span> a remainder of 6 or 616.8571
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
