D= # of dimes
q= # of quarters
QUANTITY EQUATION:
d + q= 64
COST EQUATION:
0.10d + 0.25q= $9.25
STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2
(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40
STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q
Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40
0.15q= 2.85
divide both sides by 0.15
q= 19 quarters
STEP 3:
substitute q value in step 2 into either original equation to find d value
d + q= 64
d + 19= 64
subtract 19 from both sides
d= 45 dimes
CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25
ANSWER: There are 45 dimes and 19 quarters.
Hope this helps! :)
He will have 36 plants next year.
hope that helped! :)
you would add 3y+5y and get 8y=-20
then the slope would be 8/1 and your y-intercept would be -20
Answer:
D
Step-by-step explanation:
The quadratic formula:

where a is the coefficient of
, b being the coefficient of
and c being the constant.
Plug in the values:


Since 
The answer is:

Answer:
40
Step-by-step explanation:
Use Pythagorean Theorem to find the 3rd side, which will be 17. Then add all of the sides and you'll get the answer.