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3 years ago

What is the value of x?

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

5 0

Answer:

x = 8

Step-by-step explanation:

Add the four angles given to get 264°

Subtract 264° from the total measure of angles in the pentagram (360°) which gives you 96° for the missing angle measure. From there, it's just basic algebra.

x = 96 ÷ 12

x = 8

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In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors. Chapter Refe

max2010maxim [7]

The number of students attending the camp that summer is 380 students

Step-by-step explanation:

There are four counselors for every fifty seven students

There are three teachers for every five counselors

Ms. Rifkin asked all 16 teachers present at the camp to attend a

teachers meeting

To solve this question we will use the ratio

The given is:

1. 4 counselors for every 57 students

2. 3 teachers for every 5 counselors

3. There are 16 teachers

At first let us find the 16 teachers are for how many counselors

∵ 3 teachers : 5 counselors

∵ 16 teachers : x counselors

∴ $\frac{3}{5}=\frac{16}{x}$

By using cross multiplication

∴ 3x = 16 × 5

∴ 3x = 80

Divide both side by 3

∴ x = $\frac{80}{3}$

Then let us find the $\frac{80}{3}$ counselors are for how many students

∵ 4 counselors : 57 students

∵ $\frac{80}{3}$ counselors : y students

∴ $\frac{4}{57}=\frac{80/3}{y}$

By using cross multiplication

∴ 4y = 57 × $\frac{80}{3}$

∴ 4y = 1520

Divide both sides by 4

∴ y = 380 students

The number of students attending the camp that summer is 380 students

Learn more:

You can learn more about the ratio in brainly.com/question/6952762

#LearnwithBrainly

4 0

3 years ago

If y = -x and x + 6y = 30, what is the<br> value of x?

jekas [21]

Answer:

x = -6

Step-by-step explanation:

y = -x equation 1

x + 6y = 30 equation 2

using equation 1 in equation 2 we have:

x + 6(-x) = 30

x - 6x =30

-5x = 30

x= -30/5

x= -6

8 0

3 years ago

Please answer this correctly

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Answer:

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20.15

20.1

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3 years ago

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The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin

bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, $Z_{Critical}=1.645$ .

We also know that E=5% or E=0.05

Also, since, $\hat{p}$ is not given, we will assume that $\hat{p}$ =0.5. This is because, the formula that we use will have $\hat{p}(1-\hat{p})$ in the expression and that will be maximum only when $\hat{p}$ =0.5. (For any other value of $\hat{p}$ , we will get a value less than 0.25. For example if, $\hat{p}$ is 0.4, then $1-\hat{p}=0.6$ and thus, $\hat{p}(1-\hat{p})=0.24$ .).