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3 years ago

7

The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3). What are the x- and y-coordinates of point M, which p

artitions the directed line segment into the ratio 2:5?
I will give brainliest BUT YOU MUST SHOW STEP BY STEP ANSWER ONLYYYY

1 answer:

konstantin123 [22]3 years ago

7 0

Answer:

M(-20/7, 4/7)

Step-by-step explanation:

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85% of the people survey thought the price of the car wash was reasonable. If 164 people thought the cost of the car wash was re

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192 people were survey

Step-by-step explanation:

The given is:

85% of the people survey thought the price of the car wash was reasonable
164 people thought the cost of the car wash was reasonable

We need to find how many people were survey

Assume that x people were survey

∵ There were x people survey

∵ 85% of them thought the price of the car wash was reasonable

∴ The number of the people who thought the price of the car wash

was reasonable = 85% × x

∵ 85% = $\frac{85}{100}$ = 0.85

∴ The number of the people who thought the price of the car wash

was reasonable = 0.85 x

∵ 164 people thought the cost of the car wash was reasonable

- Equate 0.85 x and 164

∴ 0.85 x = 164

- Divide both sides by 0.85

∴ x = 192.94

∵ x represents a number of people, then it must be integer

∴ The number of people were survey = 192

192 people were survey

Learn more:

You can learn more about percentage in brainly.com/question/12960754

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Clayton started with $3 and spent it on a bag of candy with 40 pieces. He sells each piece of

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Jack and Jill each opened accounts that earn 5% interest compounded annually. Jack deposited $2500 and Jill deposited $3000. No

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have a good day!!

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2 years ago

Which shape doesn’t belong belong? Explain your reasoning.

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The trapezoid on the bottom right doesn’t belong. All the other quadrilaterals have opposite sides that are congruent.

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What is the correct first step to solve this system of equations by elimination?

storchak [24]

$\bold{\huge{\pink{\underline{ Solution }}}}$

$\bold{\underline{ Given }}$

<u>We </u><u>have </u><u>given </u><u>two </u><u>linear </u><u>equations </u><u>that</u><u> </u><u>is </u><u>2x </u><u>-</u><u> </u><u>3y </u><u>=</u><u> </u><u>-</u><u>6</u><u> </u><u>and </u><u>x</u><u> </u><u>+</u><u> </u><u>3y </u><u>=</u><u> </u><u>1</u><u>2</u><u> </u><u>.</u>

$\bold{\underline{ To \: Find }}$

<u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>x </u><u>and </u><u>y </u><u>by </u><u>elimination </u><u>method</u><u>. </u>

$\bold{\underline{ Let's \: Begin }}$

$\sf{ 2x - 3y = -6 ...eq(1)}$

$\sf{ x + 3y = 12 ...eq(2)}$

<u>Multiply </u><u>eq(</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>by </u><u>2</u><u> </u><u>:</u><u>-</u>

$\sf{ 2( x + 3y = 12 )}$

$\sf{ 2x + 6y = 24 }$

<u>Subtract </u><u>eq(</u><u>1</u><u>)</u><u> </u><u>from </u><u>eq(</u><u>2</u><u>)</u><u> </u><u>:</u><u>-</u>

$\sf{ 2x + 6y -( 2x - 3y) = 24 -(-6)}$

$\sf{ 2x + 6y - 2x + 3y = 24 + 6 }$

$\sf{ 9y = 30 }$

$\sf{ y = 30/9}$

$\sf{\red{ y = 10/3}}$

<u>Now</u><u>, </u><u> </u><u>Subsitute</u><u> </u><u>the </u><u>value </u><u>of </u><u>y </u><u>in </u><u>eq(</u><u> </u><u>1</u><u> </u><u>)</u><u>:</u><u>-</u>

$\sf{ 2x - 3(10/3) = -6 }$

$\sf{ 2x - 10 = -6 }$

$\sf{ 2x = -6 + 10}$

$\sf{ x = 4/2}$

$\sf{\red{ x = 2}}$

Hence, The value of x and y is 2 and 10/3

6 0

2 years ago