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AleksandrR [38]
4 years ago
15

A 16 ft board is to be cut into three​ pieces, two​ equal-length ones and the third 3 in. shorter than each of the other two. If

the cutting does not result in any length being​ lost, how long are the​ pieces?
The first two pieces are each _____ in. long.
Mathematics
1 answer:
Dahasolnce [82]4 years ago
8 0

Answer:

  The first two pieces are 5' 5" long; the last piece is 5' 2" long.

Step-by-step explanation:

If x is the length of one of the longer pieces, then the shorter one (in inches) is x-3. The total length of the three pieces is ...

  x + x + (x-3) = 192

  3x = 195 . . . . . . . . . add 3

  x = 65 . . . . . . . . . . inches

  65 inches = 5 ft 5 inches

The first two pieces are each 5' 5" long; the remaining piece is 5' 2" long.

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A 100-point test consists of 2-point questions and 5-point questions . There are a total of 44 questions ont the test . How many
dsp73

Answer:

40 - 2 point questions and 4 - 5 point questions

Step-by-step explanation:

To solve this situation, write two equations. One for the number of questions and one for the number of points.

Let x be the number of 2 point questions.

Let y be the number of 5 point questions.

x + y = 44

Now since x are each worth 2 points, the total points is 2x.

And since y are each worth 5 points, the total points is 5y.

So 2x + 5y = 100. Substitute one of the equations into the other to solve for the variables.

x + y = 44 becomes x = 44 - y. Substitute it.

2(44-y) + 5y = 100

88 - 2y + 5y = 100

88 + 3y = 100

3y = 12

y = 4

Substitute y = 4 back into the equation x = 44 - y to find x.

x = 44 - 4

x = 40

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3 years ago
What is the sum?<br> 8+(-12)<br> -20<br> 24<br> 4<br> 20
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Answer:

-4

Step-by-step explanation:

adding a negative is the same as subtracting a positive

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b is -mx+y and m is -b+y/x

Step-by-step explanation:

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Y=-1/4x+4 written in stander form
krok68 [10]

Answer:

\frac{1}{4}x+y=4

Step-by-step explanation:

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3 years ago
Need help fast will give brainiest
Elan Coil [88]

Answer:

\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ, \\\text{3a. Reflexive Property}, \\\text{3b. ASA (Angle-Side-Angle)}

Step-by-step explanation:

ASA (Angle-Side-Angle) is a proof of congruence that states if two triangles share two angles and the side between those two angles, the triangles are congruent. In problems 1 and 2, the following demonstrate this:

\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ

In problem 3, \overline{IJ}\cong \overline{IJ} is known in geometry as the Reflexive Property. Because of this, the two triangles in the diagram for problem 3 now share two angles and the side between them, thus they are congruent from ASA (Angle-Side-Angle).

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