What is the area of the triangle?
8
4
5

Answer:

[tex]Adults = 510[/tex]

Step-by-step explanation:

Given

[tex]Children = \frac{3}{5}[/tex]

[tex]Girls:Boys = 2 : 7[/tex]

[tex]Girls = 170[/tex]

Required

Determine the number of adults

First, we need to calculate the number of children

[tex]Girls:Boys = 2 : 7[/tex]

Given that: [tex]Girls = 170[/tex]

Substitute 170 for Girls in [tex]Girls:Boys = 2 : 7[/tex]

[tex]170 : Boys = 2 : 7[/tex]

Convert to fraction

[tex]\frac{170}{Boys} = \frac{2}{7}[/tex]

Cross Multiply

[tex]Boys * 2 = 170 * 7[/tex]

Divide both sides by 2

[tex]Boys = \frac{170 * 7}{2}[/tex]

[tex]Boys = \frac{1190}{2}[/tex]

[tex]Boys = 595[/tex]

So, the number of children are:

[tex]Children = Boys + Girls[/tex]

[tex]Children = 595 + 170[/tex]

[tex]Children = 765[/tex]

Next, we calculate the number of people in the cinema.

[tex]Children = \frac{3}{5} * People[/tex]

Substitute 765 for Children

[tex]765 = \frac{3}{5} * People[/tex]

Make People the subject.

[tex]People = \frac{765 * 5}{3}[/tex]

[tex]People = \frac{3825}{3}[/tex]

[tex]People = 1275[/tex]

If 3/5 are children, then 2/5 are adults.

So:

[tex]Adults = \frac{2}{5} * 1275[/tex]

[tex]Adults = \frac{2* 1275}{5}[/tex]

[tex]Adults = \frac{2550}{5}[/tex]

[tex]Adults = 510[/tex]

Answer:

[tex]y=\frac{1}{2} x-8[/tex]

Step-by-step explanation:

Slope-intercept form is organized in the form y=mx+b, where m is the slope and b is the y-intercept.

Because we're already given the values, we just have to plug them into the equation.

[tex]y=mx+b\\y=\frac{1}{2} x+(-8)\\y=\frac{1}{2} x-8[/tex]

To graph this equation, first plot a point at (0, -8). This is because the y-intercept is -8, meaning that the line crosses the y-axis when y=-8.

Then, plot the next point using the slope. The slope is equal to the rise/run of the line, or the number of units the line travels upwards / the number of units the line travels to the right. Because the slope is 1/2, we know that for every 2 units a point travels to the right, it goes up by 1 unit.

Please see the picture attached.

I hope this helps!

Answer:

y=32x shows a proportional relationship.

Step-by-step explanation:

We need to find an equation that shows the proportional relationship.

If x and y are proportional to each other, it will look like,

y = mx

Where

m is constant of proportionality

Out of 4 option, option (4) is y=32x, it shows the proportional relationship where the value of m is equal to 32.

The equation that represents a proportional relationship is y = 32x

A proportional relationship usually has the form:

y = kx

Where:

In this equation: y = 32x

To learn more about proportional relationship, please check: https://brainly.com/question/1266676

Answer:

22.5 inches

Step-by-step explanation:

To find the unit rate, you divide the amount the plant grew by the amount of weeks. We learned that the plant grew 75 inches in 100 weeks, so we divide 75/100, to get 0.75. This means that the plant grows 0.75 inches per week, so in 30 weeks, it would grow 22.5 inches. This is calculated by multiplying 0.75 by 30 weeks.

Answer:

70%

Step-by-step explanation:

385/550 giving you a decimal of 0.7 which is 70%

Answer:

25% change

Step-by-step explanation:

(15 - 12) / 12 = 3/12 = 1/4 = 0.25

Answer:

probably A

Step-by-step explanation:

the two triangles are congruent because of the angle side angle postulate

Answer:

-15c+14

Step-by-step explanation:

(-9c+7)-(6c-7) (rewrite and remove the parentheses)

-9c+7-6c+ (collect the like terms and calculate)

solution: -15c+14

hope this helps!

Answer:

f(-1) = 3, f(3) = 3

Step-by-step explanation:

This question requires that you choose which of the two equations to uses given the value of x. -1 < 1 so you choose equation f(x) = -x + 2 for f(-1). 3 > 1 so you choose f(x) = x² - 4x + 6 for f(3)

Answer:

y=x

Step-by-step explanation:

That's legit it. Type it into a graphing calc and it goes through(1,1) ad (3,3).

Answer:

The length of side AB is [tex]\sqrt{50}[/tex] units.

The length of side BC is [tex]\sqrt{65}[/tex] units.

The length of side AC is [tex]\sqrt{145}[/tex] units.

Step-by-step explanation:

To find the length of each side, we use the formula for the distance between two points.

Distance between two points:

Points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Side AB:

Points [tex]A(-3,6),B(2,1)[/tex]. So the distance between them is:

[tex]D = \sqrt{(2-(-3))^2 + (1-6)^2} = \sqrt{50}[/tex]

The length of side AB is [tex]\sqrt{50}[/tex] units.

Side BC:

Points [tex]C(9,5),B(2,1)[/tex]. So the distance between them is:

[tex]D = \sqrt{(2-9)^2 + (1-5)^2} = \sqrt{65}[/tex]

The length of side BC is [tex]\sqrt{65}[/tex] units.

Side AC:

Points [tex]A(-3,6),C(9,5)[/tex]. So the distance between them is:

[tex]D = \sqrt{(9-(-3))^2 + (5-6)^2} = \sqrt{145}[/tex]

The length of side AC is [tex]\sqrt{145}[/tex] units.

Answer:

=92^4 in think

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

give branlest pls

Answer:

b. -2x^3 +x^2 +1

Step-by-step explanation:

(x^3 - x^2 + 4) - (3x^3 - 2x^2 +3)

x^3 - 3x^3 = -2^3

-x^2 - (-2x^2) = -x^2 + 2x^2) = x^2

4 - 3 = 1

Answer:

The answer is 4,5.

Step-by-step explanation:

Go over 4 times and go up 5, and there is your answer.

Answer:

Multiple ways to simplify

7+2 (adding 10 and -3)

10-1 (adding -3 and 2)

12-3 (adding 2 and 10)

Step-by-step explanation:

Hope this helps！

Answer:

x = -1/5, x = i sqrt(30)/5,  x = -i sqrt(30)/5

Step-by-step explanation:

25x^3 + 5x^2 + 30x + 6 = 0

5x^2(5x + 1) + 6(5x + 1) = 0

(5x + 1)(5x^2 + 6) = 0

5x + 1 = 0

5x = -1

x = -1/5

5x^2 + 6 = 0

5x^2 = -6

x^2 = -6/5

x = +/- sqrt(-6/5)

x = +/- i * sqrt(30)/5

x = i sqrt(30)/5 or x = -i sqrt(30)/5

Answer:

the missing sign is for c) is <

Answer:

|h-57.5| less than or equal to 7.5

Step-by-step explanation:

Since the question states that a child must be 50 and 65 inches, plug in values that are within this range and determine which answer choice gives a TRUE relationship. Choose 60 for h.

Also, I just did it.

Answer:

she won't have any money herself..?

Answer:

63 people prefer mashed potatos

Step-by-step explanation:

18 divided by 2 is 9

7 multiplied by 9 is 63

:)

Answer:

Step-by-step explanation:

In an isosceles triangle, by definition two of the three sides of the triangle are equal to one another. Therefore, the angles opposite to these sides must also be equal. And considering the Triangle Sum Theorem, the angles of a triangle must add up to 180 degrees, the angle that measures 124 degrees cannot be be equal to another angle due to the fact that the sum of them would exceed 180. Therefore let x be the angle:

124+2x=180

2x=56x=28

Please brainlest!

Answer:

$56.10

Step-by-step explanation:

55.00 × .02 = 1.10

55.00 + 1.10 = $56.10

Answer:

1st option, (2x, 2y)

Step-by-step explanation:

If we select any random point on Figure S, let's just say the upper right hand corner of the arrow at (2,3), and compare that to the same point but on Figure T, it is now (4,6). By just looking at the two points, we can see that the x and y values of the point we chose from Figure S had to be doubled to get to that point but in Figure T

Answer:

Perimeter of triangle = 12 + 9 + 15

                                   = 36 units

Therefore, option A is correct.

Step-by-step explanation:

The given points

From the table, it is clear the side containing the line segment joining the points (-4, 5) and (8, 5) is a straight horizontal line.

Thus, the length of the horizontal distance from the points (-4, 5) and (8, 5) will be:

8-(-4) = 12 units

From the table, it is clear the side containing the line segment joining the points (8, 5) and (8, -4) is a straight vertical line.

Thus, the length of the vertical distance from the points (8, -4) and (8, 5) will be:

5-(-4) = 9

Now, finding the length of the side containing the segment (8, -4) and (-4, 5) using the formula:

[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]=\sqrt{\left(-4-8\right)^2+\left(5-\left(-4\right)\right)^2}[/tex]

[tex]=\sqrt{\left(-4-8\right)^2+\left(5+4\right)^2}[/tex]

[tex]=\sqrt{12^2+9^2}[/tex]

[tex]=\sqrt{144+81}[/tex]

[tex]=\sqrt{225}[/tex]

[tex]=\sqrt{15^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]=15[/tex]

We know that the Perimeter of a rectangle is the length of all the sides of the triangle. Therefore, combining all the lengths of the line segments

Thus,

Perimeter of triangle = 12 + 9 + 15

                                   = 36 units

Therefore, option A is correct.

Answer:

hey actually its i dont know bro help me get some points

Answer:

3-(-1)/2-4

=4/-2

=-2

slope=-2

Answer:im not forsure

Step-by-step explanation: