Let x be the number of nickels and y be the number of quarters.
Then, x + y = 42 --- (1)
It is given that total value = 4.90.
Therefore, 0.05x + 0.25y = 4.9 --- (2)
Multiply (1) by 0.25
0.25x + 0.25y = 10.5 --- (3)
Now, subtract (2) from (3), we get,
0.2x = 5.6
Divide both sides by 0.2.
x = 28
x + y = 42
y = 42 - x
= 42 - 28
= 14
Hence, Mary has 28 nickels and 14 quarters in total.
the second option
Step-by-step explanation:
Line CD is parallel to line AB, shown by the arrows in the middle of both of the lines.
With 5lbs of sugar syrup to get a 25% syrup you would need to add 15lbs of water
Answer:
The volume of the right rectangular prism is 5400 cubic centimeter.
Step-by-step explanation:
Given : The length of the prism is 45 cm, the width is 12 cm, and the height is 10 cm.
To find : The volume of a right rectangular prism ?
Solution :
The formula used is 
Where, l is the length of the prism l=45 cm
w is the width of the prism w=12 cm
h is the height of the prism h=10 cm
Substitute the value in the formula,
Therefore, The volume of the right rectangular prism is 5400 cubic centimeter.
Answer:
Description
Step-by-step explanation:
a. 2 solutions
b. 2 imaginary solutions
c. If the discriminant is positive, then it will have 2 real solutions as the square root of a positive number always equals a positive number. If the discriminant is negative, the quadratic equation will have 2 imaginary solutions, as the square root of a negative number is always imaginary. If the discriminant equals 0, it will have only 1 real solution.
