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?
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Arthur D. answered • 06/28/17
TUTOR 4.9 (67)
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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
Answer:
B
Step-by-step explanation:
arc length = circumference × fraction of circle
= 84 ×
= 21 cm
The answer is 180.add 40 to its self or multiply by 4 then add 20 for the .5 portion, 40x4=160 160+20=180.
hoped this helped =)
Answer:
Find the length of the hose = 5.2 feet
Step-by-step explanation:
The garden is divided into two similar triangle.
The hose divided one side of the triangle to two equal parts.
Side a = 6ft
Side b = 3ft
Side c = ? (length of hose)
a² = b² + c²
6² = 3² + c²
36 = 9 + c²
27 = c²
√27 = c
5.196 = c
Answer:
-13
Step-by-step explanation:
2
(-3)
-1
(-3)
-4
(-3)
-7
(-3)
-10
(-3)
?
?=-13
