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tensa zangetsu [6.8K]
4 years ago
4

Use the information in the table to find the constant of proportionality and write the equation. The constant of proportionality

is________. The equation that represents this proportional relationship is _________. ALSO PLEASE BE FRIENDS WITH ME ON BRAINLY
HAS TO BE RIGHT

Mathematics
2 answers:
lbvjy [14]4 years ago
7 0

Answer:

The constant of proportionality is 2.5. The equation that represents this proportional relationship is y=2.5x.

Step-by-step explanation:

to find the constant of proportionality -> for every time x goes up, what does y go up by? when x goes up by 2, y goes up by 5. difference of y/difference of x = 5/2 =2.5.

to find the equation -> y=?x. plug in the constant of proportionality in the question mark. so, y=2.5x.

Butoxors [25]4 years ago
6 0

Answer:

<h2><u /></h2>

Step-by-step explanation:

2.5 and y=2.5x

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A 40% dye solution is to mixed with a 53% dye solution to get 260L of a 50% solution. How many liters of the 40% and 50% solutio
VLD [36.1K]
<h3>60 liters of 40 % dye solution is mixed with 200 liters of 53 % dye solution to get 260 liters of 50 % dye solution</h3><h3><u>Solution:</u></h3>

From given,

Final solution is 260 liter

Let x be the liters of 40 % dye solution

Then, (260 - x) is the liters of 53 % dye solution

Therefore, according to question,

x liters of 40 % dye solution is mixed with (260 - x) liters of 53 % dye solution to get 260 liters of 50 % dye solution

<h3><u>Thus we frame a equation as:</u></h3>

40 % of x + 53 % of (260 - x) = 50 % of 260

Solve for "x"

\frac{40}{100} \times x + \frac{53}{100} \times (260-x) = \frac{50}{100} \times 260\\\\0.4x+ 0.53(260-x) = 0.5 \times 260\\\\0.4x + 137.8 - 0.53x = 130\\\\0.13x = 137.8 - 130\\\\0.13x = 7.8\\\\Divide\ both\ sides\ by\ 0.13\\\\x = 60

Thus 60 liters of 40 % dye solution is used

Then, (260 - x) = 260 - 60 = 200

Thus 200 liters of 53 % dye solution is used

5 0
4 years ago
James is painting a wooden slat fence he had installed around his backyard. The fence has a total of 180 wooden slats. Suppose J
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Answer:

1 slat every 2 minutes.

Step-by-step explanation:

James is able to paint 2 slats every 5 minutes.

James and Gabe together are able to paint the whole fence (180 slats) in 3 hours and 20 minutes (200 minutes)

The rate of 180 slats in 200 minutes is equal to 18 slats in 20 minutes, and is equal to 9 slats in 10 minutes.

The rate of James is 2 slats in 5 minutes, which is equal to 4 slats in 10 minutes.

Subtracting the rate of James and Gabe together (9 slats in 10 minutes) by the rate of James alone (4 slats in 10 minutes), we have the rate of Gabe, which is 5 slats in 10 minutes, or 1 slat in 2 minutes.

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There are 40 coins in a roll of quarters. The change machine at the local arcade holds 320 rolls of quarters. How many quarters
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Step-by-step explanation:

40 x 320 = 12,800

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3 years ago
3x+6 and 2x+14 find value of x
Vanyuwa [196]

Answer:

Step-by-step explanation:

3x+2x is 5x

6+14 is 20

5x+20  

if you are looking for this answer

x=4

divide 5 by 5x and 20 by 5

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Use the following cell phone airport data speeds​ (Mbps) from a particular network. Find the percentile corresponding to the dat
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Answer:

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The data speed 1.4Mbps is in the 34th percentile.

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