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Vinil7 [7]
3 years ago
10

What integer $x$ satisfies $\frac{1}{4}<\frac{x}{7}<\frac{1}{3}$?

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

If 1/4 < x/7 < 1/3, then

7/4 < x < 7/3

1.75 < x < 2.333…

so that x = 2.

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Solve the proportion 40/z+1 = 15/6
vovangra [49]

Answer:

<h2>z = 15</h2>

Step-by-step explanation:

\frac{40}{z + 1}  =  \frac{15}{6}  \\

<u>Cross multiply </u>

That's

15(z + 1) = 40(6) \\ 15z + 15 = 240

<u>Send 15 to the right side of the equation</u>

15z = 240 - 15 \\ 15z = 225

Divide both sides by 15

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<h3>z = 15</h3>

Hope this helps you

7 0
3 years ago
Mack the bug starts at (0,0) at noon and each minute moves one unit right or one unit up. He is trying to get to the point (5,7)
PSYCHO15rus [73]
<span>This is a very nice counting question. Suggestion / Hint: Count how many ways he can get from (0,0) to (5,7) by going through the point (2,3). Then subtract that from ALL POSSIBLE ways he can get from (0,0) to (5,7). Hint for the hint: How many ways he can get from (0,0) to (5,7) by going through the point (2,3)? Well, that's the SUM of how many ways he can get from (0,0) to (2,3) and how many ways he get get from (2,3) to (5,7). Hope this helps! :)</span>
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