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s344n2d4d5 [400]
3 years ago
15

What are the steps for substitution(word problems)? Please and thanks!

Mathematics
1 answer:
nataly862011 [7]3 years ago
6 0
The steps for substitution are  step 1 solve for the equation x = or y then step 2 is substitute the solution from step 1 into the second equation and step 3 is solve the new equation for x.

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Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He h
zhuklara [117]

I added a screenshot of the complete question along with the given choices.

<em><u>Answers:</u></em>

w = 10 ft and l = 50 ft ................> second option

w = 20 ft and l = 60 ft ...............> third option

w = 50 ft and l = 40 ft ...............> fifth option

<em><u>Explanation:</u></em>

<u>We are given that:</u>

length should be at least 20 ...........> length ≥ 20

equation for perimeter is : 2l + 2w ≤ 200

<u>We will check each option as follows:</u>

<u>Option 1:</u>

w = 50 ft and l = 10 ft

This option is incorrect as the proposed length is less than 20.

<u>Option 2:</u>

w = 10 ft and l = 50 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(10) = 100 + 20 = 120 ≤ 200

The second condition is also satisfied.

This option is correct

<u>Option 3:</u>

w = 20 ft and l = 60 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(60) + 2(20) = 120 + 40 = 160 ≤ 200

The second condition is also satisfied.

This option is correct

<u>Option 4:</u>

w = 90 ft and l = 30 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(30) + 2(90) = 60 + 180 = 240 > 200

The second condition is not satisfied.

This option is incorrect

<u>Option 5:</u>

w = 50 ft and l = 40 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(40) = 100 + 80 = 180 ≤ 200

The second condition is also satisfied.

This option is correct

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Find the volume of 22 ft
Scilla [17]
This question is incomplete. There is no way to get a volume from a single
length

7 0
3 years ago
Anna made 20/28 free throws in basketball this season.To the nearest thousands,what is her free-throw average?
Afina-wow [57]

Answer:

0.714 free throws.

Step-by-step explanation:

Anna made 20 out of 28 free throws.

Free-throw average = \frac{20}{28}  = 0.7142857143 free throws.

This equals 0.714 free throws (answer rounded up to the nearest thousandths)

5 0
3 years ago
Find the surface area <br> 3 in<br> 4 in<br> 4 in<br> 10 in<br> PLZ HELP
Artyom0805 [142]

2(½ x 3 x 4) + 3(10 x 4)

=2(½ x 12) + 3(40)

=2(6) +120

=12+120

=132

4 0
3 years ago
5/7 of the people who listen to the speaker working mixed the wrestler unconvinced what was the ratio of the convinced to the un
Zanzabum
1-5/7=2/7, 2/7:5:7= 2:5
5 0
3 years ago
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