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solmaris [256]
3 years ago
5

To paint his room ted prepared 2 gallons of a paint mixture at a ratio of 3:1 white to blue. If he later decide to dilute the co

lor to a ratio of 5:1 white to blue, how many gallons of white paint is he supposed to add to the original mixture
Mathematics
1 answer:
earnstyle [38]3 years ago
4 0

Answer:

White = 1.67 gallons

Blue = 0.33 gallons

Step-by-step explanation:

White : blue = 3 : 1

Total ratio = 3 + 1

= 4

Gallons = 2

White = 3 /4 × 2

= 6 /4

= 3/2 gallons

Blue = 1 / 4 × 2

= 2/4

= 1/2

If he later decide to dilute the color to a ratio of 5:1

Total ratio = 5 + 1

= 6

Total gallons = 2

White = 5 / 6 × 2

= 10/6

= 5/3 gallons

Or

= 1.67 gallons

Blue = 1 / 6 × 2

= 2 / 6

= 1/3 gallons

Or

= 0.33 gallons

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Solve (1/81)^x*1/243=(1/9)^−3−1 by rewriting each side with a common base.
elena55 [62]

Answer:

x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]

Step-by-step explanation:

you have the following formula:

(\frac{1}{81})^{\frac{x}{243}}=(\frac{1}{9})^{-3}-1

To solve this equation you use the following properties:

log_aa^x=x

Thne, by using this propwerty in the equation (1) you obtain for x

log_{(\frac{1}{81})}(\frac{1}{81})^{\frac{x}{243}}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\\frac{x}{243}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]

8 0
3 years ago
What is the justification for step 2 in the solution process?
Maksim231197 [3]

Answer:

Subtract property of deviation becasue your subtracting 6y frrom both sides of the equation.

Step-by-step explanation:

1)Given: 12y - 40 - 4y = 6y - 18

2)Simplify by adding 12y + (-4y): 8y - 40 = 6y - 18

3)Subtract property of deviation: 8y -6y - 40 = 6y -6y - 18

2y - 40 = -18

<em>Hope this helped!</em>

8 0
3 years ago
Read 2 more answers
Triangles E F G and K L M are shown. Angles E F G and K L M are congruent. The length of side K L is 6, the length of side M L i
Masteriza [31]

Answer:

The Answer is C: Yes, △EFG~ △KLM by SSS or SAS

Step-by-step explanation:

SSS is for side-side-side

Both triangles have all three sides given, so the SSS similarity theorem is one way to prove these triangles are similar.

SAS is for side-angle-side

Both triangles have one angle measurement given, and two side lengths given, therefore we can also use the SAS similarity theorem to prove the two triangles are similar.  

Since both SSS and SAS work to prove the triangles are similar, the correct answer is C: Yes, △EFG~ △KLM by SSS or SAS

(I also just answered this question on the assignment and got it correct)

3 0
3 years ago
Read 2 more answers
I need help ASAP please!!!
Aleksandr-060686 [28]

Answer: The answer is b 100+(-500)

Step-by-step explanation: If you solve for the original and this answer, they will both equal -400

8 0
4 years ago
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Anybody got some answers?
kiruha [24]
I don’t know if this is right but this is what I figured.
37.245508982
4 0
3 years ago
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