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musickatia [10]
3 years ago
15

A 20% alcohol solution was mixed with pure alcohol at a ratio of 4:1. What is the percentage of alcohol in the new solution?

Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0

Answer:

36%

Step-by-step explanation:

20 % solution in 4/5 parts of the mmixture gives 80/5

100% solution in 1/5 parts of the mixture gives 100/5

total would give 80+100/5= 36% solution

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A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 2 tables is $18. The total cost to re
DerKrebs [107]
C= chair cost
t= table cost

Create two equations with the given information. Solve for one variable in equation one. Substitute that answer in equation two. Then you can solve for the needed information.
3c+2t=$18
5c+6t=$48

3c+2t=18
Subtract 2c from both sides
3c=18-2t
Divide both sides by 3
c=(18-2t)/3

Substitute the value for c in equation two:
5c+6t=$48
5((18-2t)/3)+6t=48
(90-10t)/3+6t=48
Multiply everything by 3 to eliminate fraction
(3)((90-10t)/3)+(3)(6t)=(3)(48)
90-10t+18t=144
90+8t=144
Subtract 90 from both sides
8t=54
Divide both sides by 8
t=$6.75 cost for table

Substitute the t value to solve for c:
3c+2t=18
3c+2(6.75)=18
3c+13.50=18
3c=4.50
c=$1.50 chair cost

Check:
5c+6t=$48
5(1.50)+6(6.75)=48
7.50+40.50=48
48=48

Hope this helps! :) If it does, please mark as brainliest.
7 0
3 years ago
Simplify.<br><br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B8%2B6%5E2%7D%7B11%7D%20" id="TexFormula1" title=" \frac{8+6^2}{
Romashka [77]
\frac{8 + 6^2}{11} + 7 \times 2 \\ \\  \frac{8 + 36}{11} + 7 \times 2 \ / \ simplify \\ \\  \frac{44}{11} + 7 \times 2 \ / \ simplify \\ \\ 4 + 7 \times 2 \ / \ simplify \\ \\ 4 + 14 \ / \ simplify \\ \\ 18 \ / \ simplify \\ \\

The final result is 18.
4 0
3 years ago
M is the midpoint of segment CS. C is at (-8, 2) M is at the origin. What are the coordinates of S?
ahrayia [7]
C(-8,2) and M(0,0) , since M is at the origin. Let x₁ and y₁ be the
coordinates of S →s(x₁ , y₁)

C(-8,2) and S(x₁ , y₁)
The coordinates of M, the midpoint of CS are M(x₂ , y₂)

a) x₂ = (-8 + x₁)/2 , but x₂ = 0, then :
0 = -4+x₁/2 and x₁ = 8

b) y₂ = (2+y₁)/2 , but y₂ = o, then:
0 = 2+ y₁/2  and y₂ = -2

Then the coordinates of  S are S(8 , -2)
4 0
3 years ago
Explain what step is incorrect pls help quick!?!??
AlekseyPX

Answer:

Step 1 (IM AM NOT SURE NOT MY FAULT IF ITS WRONG)

Step-by-step explanation:

4 0
3 years ago
Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil 11 1 4 is square inches. Its
prisoha [69]

Answer:

Length =

= 5/2 inches or 2 1/2 inches

Step-by-step explanation:

Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil 11 1 4 is square inches. Its length is 4 1 2 inches. What is the width of the foil? Explain your reasoning.

Area of rectangle = Length × Width

Widths = Area/Length

The area of the rectangular piece of foil 11 1/4 is square inches.

Its length is 4 1 /2 inches.

Hence:

Length = 11 1/4 /4 1/2

= 45/4 ÷ 9/2

= 45/4 × 2/9

= 5/2 inches

= 2 1/2 inches

6 0
3 years ago
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