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! :)
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When reflecting over y = -x
The x and y values change places and the signs change.
(-2,5) becomes (-5,2)
Answer:
There will be 7 students on each bus.
Step-by-step explanation:
If the class of 63 students is divided into 9 buses with the same number of students traveling in each one, to determine the number of students traveling in each bus it is necessary to perform the following mathematical calculation:
63/9 = X
7 = X
Thus, in each bus 7 students will travel, and in this way all buses will carry the same number of students.
Hey there,
So. . I hope I'm understanding the question correctly. So . .There's 2 drivers in the car and they basically take turns driving. So when you do 70 by 15 hours, you get about 1,050 and yes, for sure you have past the limit of 600 miles a day. So, this means that they already passes what they had said in the beginning.
Hope this helps.
~Jurgen
