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Volgvan
4 years ago
7

2m-7greater than or equal to 13-2m

Mathematics
1 answer:
beks73 [17]4 years ago
7 0
2m-7 \geq 13-2m \ \ |+2m\\ \\ 2m+2m-7 \geq 13-2m+2m \\ \\4m-7\geq 13 \ \ |+7 \\ \\4m-7 +7\geq 13+7\\ \\4m\geq 20 \ \ / :4 \\ \\ \frac{4}{4}\cdot m\geq \frac{20 }{4}\\ \\m\geq 5
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13.) An electrician has a piece of wire that is 3 feet long (36 inches). She needs a piece that is exactly 31.05 inches to fit p
iren [92.7K]

Answer:  4.95 inches

Subtract:  36 - 31.05 = 4.95

Step-by-step explanation:

<em>Whoever created this question hasn't done much real electrical work! </em>

<em>An outlet (also known as a receptacle) usually requires about 4 to 6 inches of wire within the </em><u><em>junction box</em></u><em> to make the connections, depending on what else may be connected in the box. We don't have to measure to 0.05 of an inch. The insulation may have to be stripped precisely to 3/8, 1/2 or 5/8 inch for connections.  </em>

The electrician used 3 feet of cable between junction boxes, and had 8 ¹/₂ inches pulled through the junction box. She needed 4 inches to connect the receptacle. How much the excess did she have to cut off?

Math questions should be realistic.

3 0
3 years ago
Combine like terms, then evaluate for x = 2 and y = 3. Remember to use the Order of Operations.
Lena [83]
A is 24, B is 17, C is 25, D is \frac{74}{23}. I've attached my work below, hope it helps :)

4 0
4 years ago
1. Ifp=7,9 =-6, r = 10 and s=-4, calculate:
Ratling [72]

the answers as follows

a) 16 b) 13 c) 16 d) 46 e) -630 f) 18 g) -32 h) 50 i) -6 j)38 l)61

Step-by-step explanation:

a) p + 9 = 7 + 9 = 16

b) p - s = 7 - (-4) = 7 + 4 = 13

c) r - q = 10 - (-6) = 16

d)q + 52 = -6 + 52 = 46

e) pqr = 7 X (-6) X 10 = -630

f) r + 8 = 10 + 8 = 18

g) pq + r = 7 X (-6) + 10 = -42 + 10 = -32

h) r - qs = 10 - (10 X (-4))= 10 + 40 = 50

i) 3r + 6q = 3 X 10 + 6 X (-6) = 30 - 36 = -6

j) 59 - 3p = 59 - 3 X 7 = 59 - 21 = 38

k) check your question

l) 4q + 85 = 4 x (-6) + 85 = -24 + 85 = 61

4 0
4 years ago
Read 2 more answers
Help me or I ask 911​
OLga [1]
I think it’s B
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3 0
3 years ago
Read 2 more answers
Jerome has 1/4 of the groups video games at his house. Mario has 2/5 of the groups video games at his house. What fraction of th
romanna [79]
13/20 of the group's video games are at Jerome or Mario's house.

Jerome has 1/4 of the group's video games.
Mario has 2/5 of the group's video games.

The question asks what fraction of the video games are at either of their houses. Therefore, we need to add the fractions together to find out the total fraction of the video games at both of their houses.

1/4  +  2/5
We can't add these together because they have different denominators. We'll need to find the least common denominator of 4 and 5 before we can add them. If you can't think of a number that the two denominators can both multiply to get, an easy way to find the common denominator is to multiply the numbers together.

4 x 5 = 20
Therefore, our common denominator is 20. Now, we need to convert the fractions so that they can have a denominator of 20.

1/4 = ?/20
In order to find the numerator, ask yourself what we multiplied the denominator by to get the new denominator. In this case, we multiplied 4 by 5 to get 20. Therefore, we need to multiply 1 by 5 to get an equal fraction.

1 x 5 = 5
1/4 = 5/20  
Our fraction is 5/20.

2/5 = ?/20
Now, let's do the same thing with the other fraction. In this case, we multiplied 5 by 4 to get 20, so we need to multiply 2 by 4 to get an equal fraction.

2 x 4 = 8
2/5 = 8/20
Our fraction is 8/20.

Now that the fractions both have the same denominator, we can add them together easily.

5 + 8 = 13
5/20 + 8/20 = 13/20
Add the numerators together to get the final answer.

Therefore, 13/20 of the group's video games are either at Jerome or Mario's house.

Hope this helps!
5 0
3 years ago
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