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: you would times everything I don’t remember how I did this but I did it by multiplying everything hope I helped and you would add the cm with the answer you got
Answer:
the solution is given by s=9 because it makes the value of 3s+12 equal to 21
Step-by-step explanation:
Answer:
Step-by-step explanation:2a-b
The statements that are true are:
A. m<AGB = 19°
D. <BGD is a right angle
<h3>What is a Right Angle?</h3>
A right angle is an angle that measures 90 degrees.
Given the diagram, where:
m<AGC = 38°,
m<CGD = 71°,
m<FGC = 147°
We have the following measures:
1/2(m<AGC) = m<AGB
1/2(38) = 19°
m<CGD + m<AGC = m<BGD
Substitute
71 + 19 = m<BGD
90 = m<BGD
m<BGD = 90° [this is a right angle].
Therefore, the statements that are true are:
A. m<AGB = 19°
D. <BGD is a right angle
Learn more about right angle on:
brainly.com/question/64787
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