6.07
c.
6.7
b.
6.17
d.
6.71
Please select the best answe
Answer: 6 animals should go in each pen.
Step-by-step explanation:
Total sheep = 54
Total cows = 24
Total pigs = 30
Highest number of animals are possible in each pen such that animals are distributed in pens with the same number = Greatest common divisior (54,24, 30)
54= 6 x 9
24= 6 x 4
30 = 6 x 5
So, Greatest common divisior (54,24, 30) = 6
Hence, 6 animals should go in each pen.
Answer:
h(x) = 5x+6
Step-by-step explanation:
h(x) = f(x) - g(x)
h(x) = 3x+2 - (-2x-4)
h(x) = 3x+2 + 2x+4
h(x) = 5x+6
All we need to do is plug in the equations for f(x) and g(x) into h(x)
Let's do it
f(x) = 3x + 2 and g(x) = -2x -4
h(x) = f(x) - g(x)
h(x) = (3x + 2) - (-2x - 4)
Combine like terms
(3x) - (-2x) → 3x + 2x → 5x
(+2) - (-4) → 2 + 4 → 6
Let's put them together
h(x) = 5x + 6
Hope I helped ! :)
Answer:
n = -1 n = -7
Step-by-step explanation:
5| 2n+8| +3 = 33
Subtract 3 from each side
5| 2n+8| +3-3 = 33-3
5| 2n+8| = 30
Divide by 5
5/5| 2n+8| = 30/5
| 2n+8| = 6
An absolute value equation has two solutions, one positive and one negative
2n+8 = 6 2n+8 = -6
Subtract 8 from each side
2n+8-8=6-8 2n+8-8 = -6-8
2n = -2 2n = -14
Divide by 2
2n/2 = -2/2 2n/2 = -14/2
n = -1 n = -7
Answer:
The time taken to reach the balance is approximately 13 years.
Step-by-step explanation:
Given : Mary deposited $350 in a bank account that promises 2.8 percent interest compounded continuously.
To find : How many years will it take to reach a balance of $500?
Solution :
The formula of compounded continuously is
Where, A is the amount A=$500
P is the principal P=$350
r is the interest rate r=2.8%=0.028
t is the time in year.
Substitute the values in the formula,
Taking log both side,
The time taken to reach the balance is approximately 13 years.