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3 years ago

Write an equation in standard form for a line with a slope of -6 that includes the point (3,2).

Mathematics

1 answer:

tatuchka [14]3 years ago

4 0

<h2>6x + y = 20</h2><h2 /><h3>Start with your point-slope formula </h3><h3>which is shown at the top.</h3><h3 /><h3>Then plug in 2 and 3 in for the appropriate coordinates.</h3><h3 /><h3>Then distribute.</h3><h3 /><h3>Then isolate y.</h3><h3 /><h3>Finally, add 6x to both sides to get it in standard form.</h3><h3 /><h3 /><h3>Any questions? send me a comment below.</h3>

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The line passes through (-5,6), slope=3. Write the equation in point-slope form

Nataly_w [17]

Answer:

y = 3x + 21

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula

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3 years ago

If a string that is 15.5 inches long is cut into equal pieces that are 1.25 inches long, how many pieces of ribbon can be create

tamaranim1 [39]

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3 years ago

Mr. Martin drove 290 miles last week This week he drove 125 miles more than last week. How many miles did Mr. Martin drive this

DanielleElmas [232]

Answer:

Mr. Martin drove 415 miles this week.

Step-by-step explanation:

The question says Mr. Martin drove 125 miles more than <u>last week</u>. How many miles did Mr. Martin drive this week?

How many miles did he drive last week?

Remember: 290 miles is the miles he drove last week.

The problem says he drove 125 miles AND 290 miles this week. So you take the SUM of them to see how many miles he drove together.

290 + 125 = 415

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3 years ago

Lia must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Li

agasfer [191]

Answer:

Step-by-step explanation:

let r= number of hours worked at the restaurant

y=number of work hours in the yard

Maximum number of work per week=r+y ≤ 15

Lia must work at least 5 hours in the restaurant

x ≥ 5

Lia wants to earn at least $120 $8/hr in the restaurant and $12/hr in the yard:

8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at least 120 hours?

Assume Lia worked all 15 hours in the restaurant

she would earn $8*15hours = $120.

The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week?

Lia has to work a minimum of 5 hours in the restaurant. She earns more from yard work, so she should devote the rest of her available work hours to yard work.

That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard.

5r+10y

5*8 + 10*12

= 40 + 120

= $160

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3 years ago

The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?

mezya [45]

Answer:

4:120

Step-by-step explanation:

for 120 student they would be 4 teacher needed per 30 student

4:120

4 0

3 years ago