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! :)
Answer: lmk
Step-by-step explanation:
What you're doing is just dividing 13/8 to find the decimal (1.625) and then divide that number by 100. 162.5%
your answer is 162.5%
Answer:
45.7 s
Step-by-step explanation:
Darya:
Number of laps = 13
Average time per lap = 23.5 seconds
Total time to swim 13 laps = Number of laps × Average time per lap
= 13 × 23.5
= 305.5 seconds
Kana:
Number of laps = 10
Average time per lap = 25.98 seconds
Total time to swim 10 laps = Number of laps × Average time per lap
= 10 × 25.98
= 259.8 seconds
It took longer for Darya to swim
13 laps than for Kana to swim 10 laps.
How much longer?
= 305.5 seconds - 259.8 seconds
= 45.7 seconds
