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3 years ago

Look at the system of equations below. Y=2x+5 y=x+6 What is the x-coordinate of the solution to the system?

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

Given the system of equations below

y=2x+5

y=x+6

Equating the right hand side of the expressions we will have;

2x+5 = x+6

Collect the like terms;

2x - x = 6 - 5

x = 1

Hence the x-coordinate of the solution to the system is 1

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REY [17]

Here is the completed table:

Has pet Has no pet Total

7th grade 102 48 150

8th grade 107 68 175

Total 209 116 325

<h3>What is a two-way table?</h3>

A two way table is used to show the frequency of two categorical variables. Information are usually presented in rows and columns.

The 7th grade students that have no pets = 150 - 102 = 48
The 8th grade students that have pets = 175 - 68 = 107
Total students that have pets = 102 + 107 = 209
Total students that have no pets = 48 + 68 = 116
Total = 209 + 116 = 325

Please find attached the table. To learn more about addition, please check: brainly.com/question/19628082

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Ivanshal [37]

If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

$\frac{8yellow}{20total} = \frac{Xyellow}{100total}$

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

$\frac{8yellow}{20total} = \frac{Xyellow}{100total} \\ 8yellow*100total=20total*Xyellow$

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$8yellow*100total=20total*Xyellow \\ 8*100=20*x \\ 800=20x \\ 800/20=20x/20 \\ x=40yellow$

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