The perimeter of the triangle is
equal to the area of the rectangle.
What is the value of x?

The complete question statement is: A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger’s statement could be correct.

Answer and Explanation:

What is given;

Students 27%. (s)

Teachers and employees 94%. (t)

The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.

So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2,000 students, there must be 200 teachers, and the number of students that have cars are 0.27(2000)=540, and the number of teacher and employees that have cars are 0.94(200)=188.

As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.

Answer:

4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.

9514 1404 393

Explanation:

Put the given value of x into the expression and evaluate it.

x, 10(x +6), y = 10x +60

2, 10(2 +6), y = 10(8) = 80

4, 10(4 +6), y = 10(10) = 100

6, 10(6 +6), y = 10(12) = 120

8, 10(8 +6), y = 10(14) = 140

[tex]\\ \sf\longmapsto tan51=\dfrac{BC}{AB}[/tex]

[tex]\\ \sf\longmapsto 1.23=\dfrac{9}{AB}[/tex]

[tex]\\ \sf\longmapsto AB=\dfrac{9}{1.23}[/tex]

[tex]\\ \sf\longmapsto AB=7.3\approx 7in[/tex]

Now

[tex]\\ \sf\longmapsto AC^2=7^2+9^2[/tex]

[tex]\\ \sf\longmapsto AC^2=49+81[/tex]

[tex]\\ \sf\longmapsto AC^2=130[/tex]

[tex]\\ \sf\longmapsto AC^2\approx 11in[/tex]

On moving a distance of 20m towards the foot of the cliff the angle of

elevation increases to 60° .

The situation forms 2 right angle triangle.

The height of the cliff is the opposite side of the 2 triangles formed.

Using trigonometric ratio, the bigger triangle  can be represented as

follows:

tan 30 = opposite / adjacent

Let the distance from point Q to the foot of the cliff be d.

Therefore,

tan 30° = 17.3 / d

d = 17.3 / tan 30

d = 17.3 / 0.57735026919

d = 29.9644789709

d ≈ 30 m

Let's find the new angle when he moves 20 m towards the foot of the cliff.

The smaller triangle formed is used to find the new angle.

Therefore,

The new distance  from the foot of the cliff (adjacent side) = 30 - 20  = 10 m

tan x° = 17.3 / 10

tan x° = 1.73

x = tan ⁻¹ 1.73

x = 59.9705982385

x  ≈ 60°

learn more: https://brainly.com/question/23910946?referrer=searchResults

Answer: 12

2 + 10

12

:)

Answer: 12

Step-by-step explanation: just add 2 to 10

Answer:

0.2

Step-by-step explanation:

20/100 as a decimal is 0.2.

Answer:

0.2

Step-by-step explanation:

Answer:

39V3 Sq.units of that will help you

Answer:

9.82 - 2.56 = 7.26 is the equation

Answer:

B) 7/10 and 4/5

Step-by-step explanation:

Answer:

B) 7/10 and 4/5.

Step-by-step explanation:

Convert the values to decimals

7/9 = 0.7777...

A)  = 0.6 and 0.75  -  NO.

B)  = 0.7 and 0.8 - YES.

Answer:

all of the above

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

a) -x+0+(-x)=0

Combine like terms.

-2x+0=0

Subtract 0 from both sides.

-2x=0

Divide both sides by -2.

x=0

b) -x-(-x)=0

Remove parentheses.

-x+x=0

Combine like terms.

0=0

Hope this helps :)

Answer:

3/8 is the answer hope you do good

Answer:

the answer is [tex]\frac{3}{32} inch^{3}[/tex]

Step-by-step explanation:

hope this helps sorry if it's wrong have a great rest of your day :)❤

To find the tax we have to multiply the percent by the cost.

Remember that in order to do this we need to convert the 7% into a decimal, which means we need to divide it by 100.

7 / 100 = .07

Now lets multiply:

25 * .07 = 1.75

This means that our sales tax is A) $1.75.

I hope this helps! :)

Answer:

Step-by-step explanation:

(a+ b) ² = a² + b² + 2ab

Answer:

The last one is correct.

Step-by-step explanation:

[] Rewrite 4/5 as 8/10

[] 8/10 / 3/10 = 8/10 * 10/3 = 80/30 = 2 2/3 days

Have a nice day! - This is only correct if your models look like the ones I have attached

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

3/2

Step-by-step explanation: I hope that it helps

Answer:

He runs 1 1/2 miles per practice.

Explanation:

First, you need to find the slope. This can be done by finding two points on the graph. Then you count the distance between the two y-values, and then the distance between the two x-values. Then you create a fraction with the numerator being the distance of y-values and the denominator the distance of x-values. For example, I chose the points (4,8) and (2,5) The distance between those two is 3/2. This simplifies to 1 1/2. Therefore, the slope of the graph is 1 1/2.

Hope this helped and have a great day,

Ginny

Step-by-step explanation:

you should add the equation for one to answer

Answer:

A  expresses the ASSOCIATIVE PROPERTY OF ADDITION.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

There are 4 countries. If a country places first, it cannot place 2nd or 3rd or fourth. That leaves 3 that can. So this uses the counting principle

4 countries could be first

3 countries could be second

2 countries could be 3rd

1 country can be last.

4*3 * 2 * 1 = 24 different ways.

Answer:

  C.  x-intercepts (1, 0) and (3, 0); y-intercept -3; vertex (2, 1)

Step-by-step explanation:

You are given y = -x² +4x -3.

For quadratic y = ax² +bx +c,  the sum of the x-intercepts is -b/a, and their product is c/a. Here, that means the sum of the x-intercepts must be -4/(-1) = 4. That eliminates choice A.

The y-intercept is the constant (c), so is -3. That eliminates choice D.

The x-coordinate of the vertex is -b/(2a), which is half the sum of the x-intercepts. Here, that is 4/2 = 2. That eliminates choice B.

The only remaining answer choice is the correct one: choice C.

Answer:

63

Step-by-step explanation:

Answer:

(3x-9x)+12y-6y=21-15

-6x+6y=6.

I think that is the answer

Answer:

Step-by-step explanation:

Solve the system by elimination.

Divide the second equation by 3 and add to fist equation:

Find the value of x:

Answer:

5/6 pieces

Step-by-step explanation:

1 4/6 + 1 3/6 = 3 1/6

3 6/6 - 3 1/6 = 5/6

10/6 + 9/6 = 19/6

4/1  = 24/6

24/6 - 19/6 = 5/6

odp.: Zostało mu 5/6 pizzy.

Answer:

6.333... is greater

Step-by-step explanation:

6.3 is larger than 6.2

Answer:

6.33333

Step-by-step explanation:

6.29

6.33333

The 3 is greater than the 2.

Hope this helps :)

Answer:

i think 12

Step-by-step explanation:

Answer:

4 + 3 + 2 = 9

Step-by-step explanation:

You have to add all the numbers in the cube.

These are the following ones.

19 = 4 + 8 + 7

11 = 2 + 8 + 1

11 = 5 + 5 + 1

4 + 3 + 2 = 9

12 = 2 + 7 + 3

Answer:23/10 pounds heavier

Step-by-step explanation:

first we transform the mixed fraction to a normal fraction

2 1/2 = 5/2

Now transform

5/2 = 25/10

1/5 = 2/10

25/10 - 2/10 = 23/10

So the green grapes weigh 23/10 pounds more than the red grapes.

I cant really interpret it for you, but here's what all the numbers mean in context:

Constant

Coefficient

The other 3 values for the constant can usually be ignored.

Wins

Coefficient

SE Coefficient

T-value

Before moving on, I'll use these hypothesis:

P-value

Alpha value

Other things

S

R²

Adjusted R²

Conclusion

Based on all that information, I wouldn't say attendances are influenced by the number of wins. The high p-value, high standard error, and low r² all contribute to my conclusion. Especially looking at the p-value, assuming a common alpha value of 0.05, the relationship between wins and attendances is not statistically significant. It's likely that the positive slope is due to an unknown 3rd variable that influences both attendances and wins, like the popularity of the baseball team. A more popular baseball team is more likely to be skilled, and therefore, a more popular baseball team will get more wins. A more popular baseball team will also obviously have more attendees.

However, if all you have to do is just interpret the slope all on its own, then you could say that the positive slope of the regression line means more wins = more attendees.

Answer:

A

Step-by-step explanation:

x = √a/√b

x² = √a²/√b²

x² = a/b

Answer:

Hi there

it should be A.

good

Answer:

20 questions

Step-by-step explanation:

12/15 can be reduced to 4/5

you can create a ratio like the following:

4/5 = x/25

cross-multiply to get:

5x = 100

x = 20