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larisa [96]
3 years ago
14

The number of boys in a school is 120% the number of girls at the school. What is the number of boys if there are 320 girls?

Mathematics
2 answers:
ale4655 [162]3 years ago
6 0

Answer:

384

Step-by-step explanation:

120% is the same as 1.2.

Multiply: 320 * 1.2 = 384 boys

docker41 [41]3 years ago
5 0

Answer:

384

Step-by-step explanation:

120%= 1.2.

Multiply: 320 * 1.2 = 384 boys

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Solve for y:<br><br>24=4x+6y​
lakkis [162]

Answer:

let x = 0

therefore

24=4(0)+6y

24=0+6y

24=6y

y= 24/6

y=4

you can take different value of x and the value of y will change automatically

4 0
2 years ago
solve this system of linear equations. separate the x- and y- values with a comma. 6x +5y=-19 12x-8y=52
Ymorist [56]

ANSWER

The solution is

(x,y)=(1,-5)

EXPLANATION

The equations are:

1st equation: 6x +5y=-19

2nd equation: 12x-8y=52

Multiply the first equation by 2:

3rd equation: 12x +10y=-38

Subtracy the 2nd equation from the 3rd equations.

12x-12x+10y--8y=-38-52

18y=-90

Divide both sides by 18.

y=-5

Put y=-5 into any of the equations and solve for x.

Preferably, the first equation will do.

6x +5(-5)=-19

6x -25=-19

6x=25-19

6x=6

x=1

The solution is

(x,y)=(1,-5)

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3 years ago
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Step-by-step explanation:

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Choose all the lines that are parallel to the line pictured in the graph bellow.
viktelen [127]

Answer:

a. y = -½x

b. y = -½x + 3

c. 2y = -x - 4

e. x + 2y = 8

Step-by-step explanation:

Parallel lines have the same slope. Therefore, the lines that will be parallel to the given line on the graph would have the same slope as the line of the graph.

First, find the slope of the line on the graph:

m = \frac{y_2 - y_1}{x_2 - x_1}

Use the coordinates of any two points on the line. Let's use (-4, 0) and (0, -2)

m = \frac{-2 - 0}{0 -(-4)} = \frac{-2}{4} = -\frac{1}{2}

Slope of the line on the graph is -½.

Check each given line equation, ensure they are in the slope-intercept form and find out if the value of their slope is the same as -½.

Slope-intercept form is given as y = mx + b, where, m = slope.

Option 1: y = -½x

The slope of this line is -½, therefore it is parallel to the line on the graph.

Option 2: y = -½x + 3

The slope of this line is also -½, therefore it is parallel to the line on the graph.

Option 3: 2y = -x - 4

Rewrite in slope-intercept form.

y = -x/2 - 4/2

y = -½x - 2

The slope of this line is -½, therefore it is parallel to the line on the graph.

Option 4: y = 2x - 5.

The slope of this line is 2, therefore it is NOT parallel to the line on the graph.

Option 5: x + 2y = 8

Rewrite in slope-intercept form.

2y = 8 - x

y = 8/2 - x/2

y = 4 - ½x

The slope of this line is -½, therefore it is parallel to the line on the graph.

3 0
3 years ago
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