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2 years ago

A) Find the ratio of the number of boys to the number of girls in a class if the number of boys is

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

4 0

Answer:

5/7

Step-by-step explanation:

First calculate the total number of students:

Girls + boys

= 46 + 115

= 161

Then divide the number of boys over all students

= 115/161

= 5/7

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Unit 5 lesson 4.3 quiz answers

son4ous [18]

Answer:

There is nothing here to answer

Step-by-step explanation:

6 0

3 years ago

In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all i

Lelu [443]

Answer:

Jaden has to plant the geranium in the circumcentre of the triangular yard in order such that it is equidistant from all its vertices.

Step-by-step explanation:

In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices.

" The CIRCUMCENTER (C) of a triangle is the point in the plane equidistant from the three vertices of the triangle "

Hence Jaden has to plant the geranium in the circumcentre of the triangular yard in order such that it is equidistant from all its vertices.

5 0

3 years ago

Read 2 more answers

What is the answer to-2x+5=-31

7nadin3 [17]

Answer:

x = 18

Step-by-step explanation:

Subtract 5 on both sides:

-2x + 5 =- -31

-5 -5

-2x = -36

Divide by -2 on both sides:

-2x = -36

/-2 /-2

x = 18

8 0

3 years ago

Read 2 more answers

10) through: (3.-1). slope = -1

Naddika [18.5K]

Answer:

$y = -x + 2$

Step-by-step explanation:

The question is to find the equation of the line going through the points (3,-1) and has a slope of -1.

First, the equation of a line is given as:

Equation = y = mx + b

Where

m is the slope

b is the y-intercept (y-axis cutting point)

We know the slope, so the equation becomes:

y = mx + b

y = -1x + b

y = -x + b

Now the point given is in the form (x,y), so

x = 3

y = -1

We substitute and find b:

y = -x + b

-1 = -3 + b

-1 + 3 = b

b = 2

Final Equation:

y = -x + 2

6 0

3 years ago

Consider the line y = 7x-9.

KatRina [158]

$y = \frac{-1}{7}x -\frac{8}{7}$ is the equation of the line that is perpendicular to this line and passes through the point (6, -2)

y = 7x - 44 equation of the line that is parallel to this line and passes through the point (6, -2)

Solution:

Given that line is:

y = 7x - 9

The equation of line in slope intercept form is given as:

y = mx + b ------ eqn 1

Where, "m" is the slope of line and "b" is the y intercept

On comparing eqn 1 with y = 7x - 9 we get,

m = 7

<h3>Find the equation of the line that is perpendicular to this line and passes through the point (6, -2)</h3>

We know that,

Product of slope of a line and slope of line perpendicular to given is always -1

Therefore,

$7 \times \text{ slope of line perpendicular to it } = -1\\\\\text{ slope of line perpendicular to it } = \frac{-1}{7}$

Now find the equation of line:

$\text{ Substitute } m = \frac{-1}{7} \text{ and } (x, y) = (6, -2) \text{ in eqn 1}$

$-2 = \frac{-1}{7} \times 6 + b\\\\-2 = \frac{-6}{7} + b\\\\b = -2+\frac{6}{7}\\\\b = \frac{-14+6}{7}\\\\b = \frac{-8}{7}$

$\text{Substitute } m = \frac{-1}{7} \text{ and } b = \frac{-8}{7} \text{ in eqn 1}\\\\y = \frac{-1}{7}x -\frac{8}{7}$

Thus the equation of line perpendicular to given line is found

<h3>Find the equation of the line that is parallel to this line and passes through the point (6, -2)</h3>

Slopes of parallel lines are equal

Therefore, m = 7

Substitute m = 7 and (x, y) = (6, -2) in eqn 1

-2 = 7(6) + b

-2 = 42 + b

b = -44

Substitute m = 7 and b = -44 in eqn 1

y = 7x - 44

Thus equation of line parallel to given line is found

8 0

3 years ago