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3 years ago

use the equation 6m = 112.75 - 18 + 8.75 to find out how much money, m, khalid should save each month

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

8 0

Answer:

103.5 i think if i read the question right

PSYCHO15rus [73]3 years ago

6 0

Answer:

Khalid should save 17.25 dollars each month.

Step-by-step explanation:

First, solve the equation: 112.75-18+8.75 to get 103.5.

Then, set up a proportion: 6m/6 = 103.5/6

Simplified, your answer should be 17.25.

I hope this helps :)

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The endpoints of segment RS are R(-4, 3) and S(8, -5). Complete each statement using a fraction.

Ray Of Light [21]

Answer:

a. (-1 , 1) is the point at 1 : 3 of the way from R to S

b. (5 , -3) is the point at 3 : 1 of the way from R to S

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divide a line segment whose end points are

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ , at ratio

$m_{1}:m_{2}$ from the first point, then

$x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and

$y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

* Lets solve the problem

∵ RS is a line segment whose end points are R (-4 , 3) and S (8 , -5)

∵ Point (-1 , 1) divides it at ratio $m_{1}:m_{2}$ from R

- By using the rule above

∴ $-1=\frac{-4m_{2}+8m_{1}}{m_{1}+m_{2}}$

- By using cross multiplication

∴ $(-1)m_{1}+(-1)m_{2}$ = $-4m_{2}+8m_{1}$

- By collecting $m_{1}$ in one side and $m_{2}$ in the

other side

∴ $3m_{2}=9m_{1}$

- Divide both sides by 3

∴ $m_{2}=3m_{1}$

∴ $m_{1}=\frac{1}{3}m_{2}$

∴ (-1 , 1) is the point at 1 : 3 of the way from R to S

∵ RS is a line segment whose end points are R (-4 , 3) and S (8 , -5)

∵ Point (5 , -3) divides it at ratio $m_{1}:m_{2}$ from R

- By using the rule above

∴ $5=\frac{-4m_{2}+8m_{1}}{m_{1}+m_{2}}$

- By using cross multiplication

∴ $5m_{1}+5m_{2}$ = $-4m_{2}+8m_{1}$

- By collecting $m_{1}$ in one side and $m_{2}$ in the

other side

∴ $9m_{2}=3m_{1}$

- Divide both sides by 3

∴ $3m_{2}=m_{1}$

∴ $\frac{m_{1}}{m_{2}}=3$

∴ (5 , -3) is the point at 3 : 1 of the way from R to S

8 0

4 years ago

What is the sum of -21 and -49? A 70 Work must be shown for credit: num B ---28 . C 28. D -- 70

kupik [55]

When two negative numbers are added, the result is negative. Adding - 21 to - 49, it gives

- 21 + - 49 = - 21 - 49 = -70

The correct option is D

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1 year ago

Question 1. Please help, What is the measure of ∠D?

erastova [34]

Step-by-step explanation:

It is 28°

Because both triangles FED and ABC are right (converse of pythagorean theorem)

Also the lengths of the side of the triangle ABC is double the lengths of the side of the other triangle

You calculate the measure of the angle ∠A in triangle ABC which is 28° (by calculation)

This will also be the measure of angle D

I'm not sure if it is right but hopefully it will help you.

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never [62]

I am so confused my guy ‍♂️‍♂️

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lyudmila [28]

Answer:

Option 3 and 5

Step-by-step explanation:

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