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Agata [3.3K]
3 years ago
9

Can someone help?? thanks and no links pls

Mathematics
2 answers:
miskamm [114]3 years ago
6 0

Answer:

x must be 10

Step-by-step explanation:

The two angles shown are "vertical angles" and are thus equal.

So 8(x - 1) = 6(x + 2), or (after carrying out the indicated multiplication):

8x - 8 = 6x + 12, or

2x = 20

Then x must be 10.

Zigmanuir [339]3 years ago
5 0

Answer:

x = 10

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

8(x-1) = 6(x+2)

Distribute

8x-8 = 6x+12

Subtract 6x from each side

8x-8 -6x = 6x+12-6x

2x-8 = 12

Add 8 to each side

2x-8+8 = 12+8

2x=20

Divide by 2

2x/2 = 20/2

x = 10

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Answer:

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7 0
4 years ago
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The cost per student of a ski trip varies inversely as the number of students who attend. It will cost each student $250 if 24 s
mars1129 [50]

ANSWER

30 students

EXPLANATION

The cost per student varies inversely as the number of students.

Inverse proportion is written as:

\begin{gathered} y\propto\frac{1}{x} \\ y=\frac{k}{x} \\ \text{where k = constant of proportionality} \end{gathered}

Let the cost per student be y.

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\begin{gathered} 250=\frac{k}{24} \\ \Rightarrow k=250\cdot24 \\ k=6000 \end{gathered}

If the cost is down to $200, it means that y is now $200.

That is:

\begin{gathered} 200=\frac{6000}{x} \\ \Rightarrow x=\frac{6000}{200} \\ x=30\text{ students} \end{gathered}

Therefore, 30 students could attend.

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2 years ago
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