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3 years ago

use the elimination method to solve the system of equations. choose the correct ordered pair. 6x-4y=-8 and 11x+4y=76

Mathematics

1 answer:

nika2105 [10]3 years ago

4 0

Answer:

(4,8)

Step-by-step explanation:

6x-4y=-8

11x+4y=76 eliminate y

6x+11y=-8+76

17 x=68

x=68/17=4

substitute x :

6x-4y=-8

6(4)-4y=-8

-4y=-8-24

y=-32/-4

y=8

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In a group of 60 workers, the average salary is $80 a day per worker. if some of the workers earn $75 a day and all the rest ear

Softa [21]

The total number of workers that earn $75 per day is 48

<h3>What is average salary?</h3>

The average salary is calculated based on reported salaries of respondents. The average salary definition is to add the salaries in the sample together, then divide by the number of respondents.

Given that:

In a group of 60 workers, the average salary is $80 a day per worker.

If some of the workers earn $75 a day and all the rest earn $100 a day.

Let 'x' be the total number of workers that earn $75 per day.

So, the total number of workers that earn $100 per day is (60 - x).

As the average salary of 60 workers is $80.

Then,

$\frac{75x + 100(60-x)}{60} =80$

or, 75 x + 6000- 100x = 80*68

or, -25x= -1200

x= 48

So, the total number of workers earn $75 per day is 48.

Learn more about the concept here:

brainly.com/question/21835898

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4 0

2 years ago

The length of a rectangular garden is 5 times its width.

Delvig [45]

Answer:

10 m and 50 m

Step-by-step explanation:

<h3>Given</h3>

l = 5w
A = 500 m²

Length and width

<h3>Solution</h3>

Area formula

A = lw
A= 5w*w= 5w²
5w² = 500
w²= 100
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Then

l = 5w = 5*10 m = 50 m

3 0

2 years ago

Can someone please help me !!i really need this answer

Zarrin [17]

Yes they are congruent because they are reflecting on to each other

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3 years ago

Keri is making a doll clothes for a holiday craft show. The wholesale cost of the materials for one outfit is $9.38. If she sell

irinina [24]

Answer:

60%

Step-by-step explanation:

If I get you right, you're asking for the percentage gain to the nearest percentage, right?

Now to do this, we need to get the amount of profit she made. That's quite easy, we only need to subtract the cost price from the selling price. And that equals $15 - $9.38 that equals $5.62.

Now, we divide this value by the cost price and multiply by 100% to get the percentage gain.

I.e 5.62/9.38 × 100%.

That gives 59.9% , which equals 60% when approximated to the nearest percentage.

5 0

3 years ago

At noon a train leaves Washington, D.C., headed for Charleston, South Carolina, a distance of 500 mi. The train travels at a spe

Bogdan [553]

Answer:

6 hours

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

Firstly, it is important to know where the train that leaves Washington will get after one hour since they didn't start at the same time between noon and 1 is 1 hour.

Speed = distance / time

Distance = speed * time

The distance S = 44 * 1

S= 44m

To determine the time they will pass each other

500(total distance)- 44 ( distance gotten to in 1 hour) - d(the distance it willl pass each other =44* t(time the train will pass each other.

456-d =44t

Second train

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Substituting to the equation

456-32t=44t

456=76t

t= 6 hours.

The time they will pass each other is six hours.

4 0

3 years ago

use the elimination method to solve the system of equations. choose the correct ordered pair. 6x-4y=-8 and 11x+4y=76​

use the elimination method to solve the system of equations. choose the correct ordered pair. 6x-4y=-8 and 11x+4y=76