
The change in the sign of the x coordinate transformed and no change in value of y coordinate shows transformation with y axis.
373 + (169 * u ) = t
The equation above is your answer.
Just remember "product" means the answer to a division problem and "is" usually means that you should insert an equals sign.
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! :)
The proportion that could be used to solve for the variable is
; h = 7.5 ⇒ answer b
Step-by-step explanation:
A proportional relationship: one variable is always a constant value times the other, that constant is called the constant of proportionality
- y = k x is the equation of the proportional relationship
- We can write the proportional relationship in the form
The number of walls and the number of hours are increased or decreased together
∴ The number of walls and the number of hours are proportion
∵ 16 walls in 40 hours
∵ 3 walls in h hours
- By using the second rule above
∴
The proportion that could be used to solve for the variable is
Let us solve it to find h
∵
- By using cross multiplication
∴ 16 × h = 3 × 40
∴ 16 h = 120
- Divide both sides by 16
∴ h = 7.5
The value of h is 7.5 hours
Learn more:
You can learn more about the proportion in brainly.com/question/10708697
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