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icang [17]
4 years ago
6

Ultimate Math Quiz:

Mathematics
2 answers:
Fynjy0 [20]4 years ago
3 0
1. <span>Let n = Tom's weight in pounds.
m=</span>Jim's weight in pounds.

m=n - 30
m+n=210

We solve this by substitution:
(n - 30)+n=210
2n-30=210
2n=210+30
2n=240
n=120 pounds weighs Tom
m=120-30=90 pounds weighs Jim


2. Let n = the number of boys.
g = the number of girls.

n+g=19
g=n+5

By substitution:
n+(n+5)=19
2n+5=19
2n=19-5
2n=14
n=14:2
n=7 boys
g=7+5=12 girls

3. Let n = the<span> shortest side</span> of the triangle
each of the two sides that are equal in length=2n

<span>The perimeter=n+2n+2n=36 inches</span>
5n=36
n=7.2 inches is the shortest side of the triangle
2*7.2=14.4 inches is each of the two sides that are equal in length
Valentin [98]4 years ago
3 0

Answer: . Let n = Tom's weight in pounds.

m=Jim's weight in pounds.

m=n - 30

m+n=210

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5 0
4 years ago
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Wayne is solving a system of linear equations.
Ulleksa [173]

Answer:

(-2, 6.5)

Step-by-step explanation:

Wayne can follow the line from (-2, 0) up to where it crosses the graphed line. The crossing point is approximately halfway between 6 and 7 on the graph, so can be considered to be 6.5.

If we put x=-2 into the equation and evaluate, we get ...

... y = (-3/4)(-2) +5 = 6/4 +5 = (1 1/2) +5 = 6 1/2

Thus the solution is (-2, 6 1/2).

8 0
4 years ago
Which student's work is correct? Explain please
Lunna [17]

Step-by-step explanation:

Wendy

-20 = x/2 + 7

-20 -7 = x/2 + 7 -7

-27 = x/2

-54 = x

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because it's math rule

8 0
3 years ago
A suitcase measures 24 inches long and the diagonal is 30 inches long. How much material is needed to cover one side of the suit
azamat

Answer:

I believe you're supposed to solve for the other missing side. If you know a side (a) and the diagonal or also known as the hypotenuse (c), you will be able to solve for the other side using the Pythagorean theorem.

Step-by-step explanation:

a^2+b^2=c^2 Substitute the values for a and c

24^2+b^2=30^2 Solve for the powers

576+b^2=900 Subtract 576 from both sides

b^2=324 Solve for the root of 324

18=b

You would need 18 inches of material to cover one side of the suitcase.

8 0
3 years ago
Determine whether the triangles are similar. If so, name the postulate or<br> theorem you used.
Mice21 [21]

Answer:

Yes, AA~

Step-by-step explanation:

because 2 of the angles are the same (90 and 52) they have to be the same. The triangle on the right is known to be 90 degrees because 52+38 is 90 and 180-90 is 90 and a triangle has to add up to 180 degrees

5 0
3 years ago
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