Answer:
24 quarters and 49 nickels
Step-by-step explanation:
This situation has two unknowns - the total number of nickels and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
- n+q=73 is an equation representing the total number of coins
- 0.05n+0.25q=8.45 is an equation representing the total value in money based on the number of coin. 0.05 and 0.25 come from the value of a nickel and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get n=73-q. We now substitute this for n in the second equation.
0.05(73-q)+0.25q=8.45
3.65-0.05q+0.25q=8.45
3.65+0.20q=8.45
After simplifying, we subtract 3.65 across and divide by the coefficient of q.
0.20q=4.8
q=24
We now know of the 73 coins that 24 are quarters. To find the number of nickels, we subtract 24 from 73 and get 49 nickels.
Answer:
y=-x-2
Step-by-step explanation:
y+5=-(x-3)
y+5=-x+3
y=-x+3-5
y=-x-2
Answer:
Step-by-step explanation:
i have a question, what is a number a number
Answer:
D. 45 degree counterclockwise rotation
Step-by-step explanation: :
The original image is triangle TUV and it has been rotated counter clockwise to form triangle T'U'V' using the origin as the center of rotation. . The rotation is 45 degrees rotation.
Hence, option B is correct.
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Answer:
(3x-2y=-2)×3
(4x-3y=-4)×2
then minus
x=2
then for y take one equation
3x-2y=-2
6-2y=-2
y=4
