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3 years ago

Slove all of it please 100 points

Mathematics

2 answers:

Gre4nikov [31]3 years ago

7 0

Answer:

$\boxed{\mathrm{view \: explanation}}$

Step-by-step explanation:

<u>Question 1:</u>

$5x+y-7=0$

Write in slope intercept form.

$y=-5x+7 \\m=-5,b=7\\9x+7y-14=0$

Write in slope intercept form.

$7y=14-9x\\y=-9x/7 +14/7\\y=-9/7 + 2\\m=-9/7, b=2$

<u>Question 2:</u>

$x+y=1000\\4x+3y=3600$

$3x+3y=3000\\4x+3y=3600\\3x+3y-(4x+3y) = 3000-3600\\3x+3y-4x-3y=-600\\-x=-600\\x=600$

$x+y=1000\\600+y=1000\\y=1000-600=400$

Tickets sold:

Adults:

$x=600$

Kids:

$y=400$

Katyanochek1 [597]3 years ago

4 0

Answer:

Step-by-step explanation:

5x+y-7=0 isolate y

y=-5x+7 (m=-5,b=7)

9x+7y-14=0

7y=14-9x ( divide both sides by 7)

y=-9x/7 +14/7

y=-9/7 + 2 (m=-9/7, b=2)

x+y=1000

4x+3y=3600 ( multiply the first equation by 3 to eliminate y)

3x+3y=3000

4x+3y=3600 ( subtract the two equations)

3x+3y-(4x+3y)=3000-3600

3x+3y-4x-3y=-600

-x=-600

x=600 ( substitute x in the equation)

x+y=1000

600+y=1000

y=1000-600=400

check : x+y=1000 , (600+400)=1000

check : 4x+3y=3600 = (4(600)+3(400))=2400+1200=3600

how many tickets are sold :

adults x=600/4=150

kids (y)=400/3=133 tickets+1 dollars left

unless( x represent kids then x=200, y represent adult = 100)

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3 years ago

Which constant could each equation be multiplied by to eliminate the x variable in this system of equations? 4x + 5y = 62 5x − 3

qwelly [4]

Answer:

Multiply equation $4x+5y=62$ by 5 and $5x-3y=22$ by 4

Step-by-step explanation:

Given:

Equations are $4x+5y=62,5x-3y=22$

To find: constant by which each equation should be multiplied to eliminate the variable $x$ in the given system of equations

Solution:

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7 0

3 years ago

Jordan will hike the trail at a rate of 4mph. Write a linear equation to represent the distance Jordan still has to walk after x

goldfiish [28.3K]

The linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.

The y-intercept represents the total distance Jordan has to walk.

<h3>What is the distance?</h3>

Distance is defined as the product of speed and time.

We have to determine the distance.

So distance = speed× time

Given that his speed is 4 mph and x hours of walking, then:

So distance = 4 × x

Let it Start of the trail: 0 miles

And the end of the trail: 18 miles

The trail length is 18 miles, so if he walked 1 mile, 18 - 1 = 17 miles are left, in general:

⇒ y = 17 - 4(x)

Here y would be the distance Jordan still has to walk.

The y-intercept would be if substitute x = 0, then:

⇒ y = 17- 4(0)

⇒ y = 17

This represents the total distance Jordan has to walk

Hence, the linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.

The y-intercept represents the total distance Jordan has to walk.

Learn more about the distance here:

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1 year ago

1 Which type of data is best represented using a line plot?

irakobra [83]

Answer:

#1) D frequency data that can be plotted on a number line ; #2) A Sarah read twice as many chapters Wednesday as Monday, C Sarah read more than four chapters on two days, F Sarah read at least three chapters on four days, and H The total number of chapters Sarah read on the weekend was the same as the total number she read on the weekdays.

Step-by-step explanation:

#1) A line plot shows the frequencies of data. It is displayed over a number line; this makes the best choice for the answer "frequency data that can be plotted on a number line."

#2) We can see that Sarah read 2 chapters on Wednesday and 1 chapter on Monday. This is twice as many chapters.

She read more than 4 chapters on both Saturday and Sunday.

She read 3 or more chapters on Tuesday, Friday, Saturday and Sunday.

The total number of chapters she read on the weekend was 5+6 = 11. The total number of chapters she read on the weekdays was 1+3+2+2+3 = 11. These are the same.

4 0

3 years ago

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