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lana66690 [7]
2 years ago
11

A mixture of purple paint contains 8 teaspoons of red paint and 12 teaspoons of blue paint. To make the same shade of purple pai

nt using 36 teaspoons of blue paint, how much red paint would you need?
Mathematics
1 answer:
vladimir1956 [14]2 years ago
4 0

Answer:

24 teaspoons of red paint would be needed.

Step-by-step explanation:

Given that the initial mixture contains 8 teaspoons of red paint and 12 teaspoons of blue paint, this mixture contains a total of 20 units of paint, of which 8 are red, that is, 8 out of 20. Therefore, the proportion of red paint is 40%, while the proportion of blue paint is 60% remaining.

Therefore, in the case of making the same mixture (with the same proportion) using 36 teaspoons of blue paint, the necessary amount of red paint is determined through the following calculation:

60 = 36

40 = X

((40 x 36) / 60) = X

1,440 = 60 = X

24 = X

Thus, 24 teaspoons of red paint would be needed.

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Hendrick wants to enlarge a photo that is 4 inches wide and 6 inches tall. The enlarged photo keeps the same ratio. How y'all is
zhuklara [117]

Answer:

Step-by-step explanation:

Alright, lets get started.

The original photo size is 4 inches wide and 6 inches tall.

So, the ratio of width and height will be = \frac{4}{6}=\frac{2}{3}

The new enlarged photo will be of the same ratio means 2:3

The width of enlarged photo is given as 12 inches.

Suppose new height of enlarged photo is H, so

\frac{12}{H}=\frac{2}{3}

Cross multiplying

2H=36

Dividing 2 in both sides

H=18 inches

So the height of new enlagred photo will be 18 inches.  :   Answer

Hope it will help :)





7 0
3 years ago
The surface area of this rectangular prism is 14,664 square yards. What is the value of z?
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6 0
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184 is what percent more than 148
Alika [10]
It is 36 percent more
7 0
2 years ago
Which of the following is not an example of like terms? A. 2 and –6 B. 2b and –6b C. 2b and 2
Serggg [28]
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Suppose that the second term of a geometric sequence is 4 and the sixth term is 16. Find the fourth term
Kaylis [27]

Answer:

  • 8

Step-by-step explanation:

<h3>Given GP</h3>
  • a₂ = 4,
  • a₆ = 16
<h3>To find</h3>
  • a₄ = ?
<h3>Solution</h3>
  • a₂ = ar = 4
  • a₆= ar⁵ = 16

<u>Substitute ar in the second equation</u>

  • ar⁵= 16
  • 4r⁴ = 16
  • r⁴ = 4
  • r = √2

<u>Then finding a₄</u>

  • a₄ = a₂*r² = 4*(√2)² = 4*2= 8
7 0
2 years ago
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