Answer:
Inside the jar there's 16 nickels and 35 quarters.
Step-by-step explanation:
Since there are only nickels and quarters in the jar, the sum of the number of nickels and the number of quarters inside it must be equal to the total number of coins in the jar. So
nickels + quarters = 51
We know the total value inside the jar, to obtain this value we must multiply the amount of each kind of coin by it's value and sum it. So we have:
0.05*nickels + 0.25*quarters = 9.55
We now have two equations and two variables, so we can solve them as follows:
nickels + quarters = 51
0.05*nickels + 0.25*quarters = 9.55
From the first equation:
nickels = 51 - quarters
0.05*(51 - quarters) + 0.25*quarters = 9.55
2.55 - 0.05*quarters + 0.25*quarters = 9.55
0.2*quarters = 9.55 - 2.55
quarters = 7/0.2 = 35
nickels = 51 - 35 = 16
Inside the jar there's 16 nickels and 35 quarters.
Answer:
6x-5/2
Step-by-step explanation:
4x+1/2+2x+(-3)
4x+2x+1/2-3
6x+1/2-3
6x+1/2-6/2
6x-5/2
Answer:
4
Step-by-step explanation:
To begin with, convert both fractions into improper fractions:
and 
.
Then convert the first fraction to ninths in order to add the two:
.
Then we add the two:
Answer:
A. 84 cm²
Step-by-step explanation:
Surface area of triangular prism = 2(base area) + (Perimeter)*height of prism
Base area = 6 cm² (given)
Perimeter = 12 cm
Altitude = height of prism = 6 cm
Plug in the values into the formula
Surface Area of triangular prism = 2(6) + (12)*6
= 12 + 72
= 84 cm²
Answer:
B. 22 in ?
Step-by-step explanation:
circumference of the circle: 2πr
2 × π × 11 = 22π in
