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docker41 [41]
3 years ago
13

Blaine buys 2 books and the total cost is $24.18 What is the constant of proportionality that

Mathematics
1 answer:
jekas [21]3 years ago
7 0

Answer:

$12.09

Step-by-step explanation:

formula; Y= kx

where;    y = $24.18

               x = 2 books

               k = constant of proportionality

Step 1. Do the equation based on the data given

Y = kx

$24.18 = k2

Step 2. Compute the mathematical equation. Divide both sides by 2 to eliminate coefficient in the variable.

<u>24.18 =k2</u>

       2

k = $ 12.09 is the constant of proportionality cost in dlooars per book

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8.5(4+3h)-h simplified
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How many kilograms of tin will be required to make 250 kg of an alloy, if the alloy must contain 81% copper, 14% tin and 5% lead
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35

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A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second contains 45 % and the third
liq [111]

Answer:

Wyzant

ALGEBRA WORD PROBLEM

Dorian S. asked • 06/28/17

THREE LINEAR EQUATIONS WITH THREE VARIABLES

A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 25%,

and the third contains 70%. He wants to use all three solutions to obtain a mixture of 40 liters containing 45%

acid, using 2 times as much of the 70% solution as the 25% solution. How many liters of each solution should be used?

How to set up as three linear equations to find the answer?

Follow2

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More

1 Expert Answer

By:

Best

Arthur D. answered • 06/28/17

TUTOR 4.9 (67)

Forty Year Educator: Classroom, Summer School, Substitute, Tutor

ABOUT THIS TUTOR ›

set up 2 equations

the first equation...

15%*x+25%*y+70%*2y=45%*40

0.15x+0.25y+1.4y=0.45*40

0.15x+1.65y=18

multiply all terms by 100

15x+165y=1800

divide all terms by 15

x+11y=120

the second equation...

x+y+2y=40

x+3y=40

x=40-3y

substitute into the first equation x+11y=120

40-3y+11y=120

40+8y=120

8y=120-40

8y=80

y=80/8

y=10 liters

x+3*10=40

x+30=40

x=40-30

x=10 liters

10 liters of 15%, 10 liters of 25%, and 20 liters of 70%

check:

10*15%=1.5

10*25%=2.5

20*70%=14

1.5+2.5+14=18

18/40=9/20=45/100=45%

45%*40=18

hope it helps

please mark brainliest

8 0
3 years ago
Fritz benjamin buys a car costing $12300. He agrees to make payment at the end of each month period for 8 years. He pays 7.2% in
loris [4]
12300=X[((1-(1+(0.072/12)^(-12*8))/(0.072/12)]
Solve for x
X=168.92
4 0
3 years ago
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