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! :)
Can you post the question or image
Answer:
-47.4
Step-by-step explanation:
The side of the small triangle that will correspond to the side of HI is side IK.
<h3>How to find corresponding side of similar triangles?</h3>
Similar triangles are triangles that have the same shape but different size.
In similar triangles, corresponding sides are always in the same ratio.
The corresponding angles are equal.
Therefore, the side of the small triangle that will correspond to the side of HI is side IK.
learn more on triangle here: brainly.com/question/26531534
#SPJ1
Answer:
The correct awnser is D.
Step-by-step explanation:
rise/run= 3/3
3/3=1
