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3 years ago

The ratio of girls to boys at a movie is 3:8. If there are 32 boys, how many girls are at the movie

Mathematics

2 answers:

Len [333]3 years ago

6 0

Answer:

Step-by-step explanation:

8*4=32

So they simplified the ratio by dividing by 4, and we can multiply 3*4 to get the finishing number:

The final ratio would be 12:32

BigorU [14]3 years ago

6 0

Answer:

twelve

Step-by-step explanation:

if the ratio of girls to boys is 3:8, the you have to multiply eight by four. Then, you multiply three by four because you need to keep it equal.

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Without plotting points, let M=(-2,-1), N=(3,1), M'= (0,2), and N'=(5, 4). Without using the distanceformula, show that segments

kramer

Given:

M=(x1, y1)=(-2,-1),

N=(x2, y2)=(3,1),

M'=(x3, y3)= (0,2),

N'=(x4, y4)=(5, 4).

We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.

For a parallelogram, opposite sides are equal

If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.

To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,

Slope of MN= Slope of M'N'.

Slope of MM'=NN'.

$\begin{gathered} \text{Slope of MN=}\frac{y2-y1}{x2-x1} \\ =\frac{1-(-1)}{3-(-2)} \\ =\frac{2}{5} \\ \text{Slope of M'N'=}\frac{y4-y3}{x4-x3} \\ =\frac{4-2}{5-0} \\ =\frac{2}{5} \end{gathered}$

Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'

$\begin{gathered} \text{Slope of MM'=}\frac{y3-y1}{x3-x1} \\ =\frac{4-(-1)}{5-(-2)} \\ =\frac{3}{2} \\ \text{Slope of NN'=}\frac{y4-y2}{x4-x2} \\ =\frac{4-1}{5-3} \\ =\frac{3}{2} \end{gathered}$

Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.

Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.

Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.

7 0

1 year ago

Write an equation in the form of y=mx + b that represents a linear relationship with a slope of 2 and a y-intercept of 7.

podryga [215]

Answer:

y = 2x + 7

The m in the equation is the slope and the b is always the y-intercept.

5 0

3 years ago

Find the measure of angle 1. 152 115 mZ1 = Please help mee:(

Elis [28]

Answer:

37°

Step-by-step explanation:

We have been given the diagram of the triangle;

To find the angle I;

We need to apply one of the geometry laws,

The sum of adjacent internal angles of a triangle gives the external angle;

So;

I + 115 = 152

Solve for I;

I = 152 - 115 = 37°

6 0

3 years ago

(x+7)^2+9=0 Find x with quadratics

Ne4ueva [31]

Answer:

x = -7 ±3i

Step-by-step explanation:

(x+7)^2+9=0

Subtract 9 from each side

(x+7)^2+9-9=0-9

(x+7)^2=-9

Take the square root of each side

sqrt((x+7)^2) = ±sqrt(-9)

We know sqrt(ab) = sqrt(a) sqrt(b)

x+7 = ±sqrt(-1) sqrt(9)

We know that sqrt(-1) is the imaginary number i

x+7 = ±i *3

x+7 =±3i

Subtract 7 from each side

x+7-7 = -7 ±3i

x = -7 ±3i

6 0

3 years ago

Read 2 more answers

H E L P!!!!!!!!!!!!!!!!!!!

LenaWriter [7]

Answer:

Step-by-step explanation:

4 0

3 years ago