What is the meaning of this question
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:
x = -5 ±4sqrt(3)
Step-by-step explanation:
(x + 5)^2 = 48
Take the square root of each side
sqrt((x + 5)^2) = ±sqrt(48)
x+5 = ±sqrt(16*3)
x+5 = ±4sqrt(3)
Subtract 5 from each side
x = -5 ±4sqrt(3)
The answer is 1:11. After it being simplified from 6:66. Hope this helps.
Answer:
567.69
Step-by-step explanation:
Let p represent the original price
The Mark up is 27%
= 27/100
= 0.27
= p + 0.27p
= 1.27p
The retail price for pants is
= 1.27(74)
= 93.98
The retail price for suit jacket is
= 1.27(325)
= 412.75
The retail price for dress shirt is
= 1.27(48)
= 60.96
Therefore the markup for a pair of pants, dress shirts and suit jacket can be calculated as follows
= 93.98 + 412.75 + 60.96
= 567.69
