Answer:
4
Step-by-step explanation:
4 to the 4th power is 256
Answer:
<em>Answers below</em>
Step-by-step explanation:
<u>Equation</u>
Let's call:
p = number of pennies Janesa has in her pocket
n = number of nickels Janesa has in her pocket
She has 24 coins in total, thus:
![p + n=24\qquad\qquad [1]](https://tex.z-dn.net/?f=p%20%2B%20n%3D24%5Cqquad%5Cqquad%20%5B1%5D)
Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:

Multiplying by 100:
![p+5n=100\qquad\qquad [2]](https://tex.z-dn.net/?f=p%2B5n%3D100%5Cqquad%5Cqquad%20%5B2%5D)
A. Completing the equation:

B.
From [1]:

Substituting into [2]:

Simplifying:

Rearranging:



B. There are 5 pennies in Janesa's pocket
C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05
The total value of the pennies is $0.05
D. The total value of the nickels is 19*$0.05 = $0.95
E. Jackson should say she has 19 nickels and 5 pennies
1,710/3 = 570 <== this is just simple division...nothing a calculator can't do.
The rate of change is +2 degrees per hour (an increase of 2 degrees per hour)
Answer:
7.5 L of 10% solution and 22.5 L of 30% solution
Step-by-step explanation:
Volume of 10% solution plus volume of 30% solution = total volume of 25% volume.
x + y = 30
Acid in 10% solution plus acid in 30% solution = total acid in 25% solution.
0.10 x + 0.30 y = 30 × 0.25
0.10 x + 0.30 y = 7.5
Solve the system of equations, using either substitution or elimination. I'll use substitution:
x = 30 − y
0.10 (30 − y) + 0.30 y = 7.5
3 − 0.10 y + 0.30 y = 7.5
0.20 y = 4.5
y = 22.5
x = 30 − y
x = 7.5
Sarah needs 7.5 L of 10% solution and 22.5 L of 30% solution.