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Y_Kistochka [10]
3 years ago
7

3/4x < 33 Solve the inequality

Mathematics
1 answer:
slava [35]3 years ago
4 0

answer:

x < 44

step-by-step explanation:

  • solve this like an equation

<u>3/4x < 33</u>

  • in order to solve this we can multiply this with the denominator first to cross out the fraction and be left with a whole number

3/4x < 33

3/4x(4) < 33(4)

3x < 132

x < 44

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Leni [432]

Part A:

There are 25 blocks for the length, and the length of each is 5.5 inches. 5.5x25=137.5

There are 9 blocks for the height, and each is 2.75 inches. 2.75x9=24.75

Since we're trying to find how much longer the length is to the width, we find the difference. 137.5-24.75=112.75

So part A answer is <em><u>112.75 (or 112¾)</u></em>

Part B:

We know the length is 137.5 and the height is 24.75. To find how many times longer the length is, we need to divide to see how many 24.75 can go into 137.5.

137.5÷24.75=5.55

So the answer to part B is <u><em>5.55. Given the context, the answer would probably be 5, because that's how many entire height can fit.</em></u>

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3 years ago
Cassie has 8 red marbles and 12 yellow marbles. Her mom doubles her red and yellow marbles for her birthday. Use the distributiv
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3 years ago
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During a recent drought, a water utility in a certain town sampled 100 residential water bills and found out that 73 of the resi
ankoles [38]

Answer:

(0.6430, 0.8170)

Step-by-step explanation:

Given that during a recent drought a water utility in a certain town sampled 100 residential water bills and found out that 73 of the residences had reduced their water consumption over that of the previous year.

Sample size n = 100

Sample proportion p = \frac{73}{100} =0.73

q = 1-p = 0.23

Std error of proportion = \sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.73*0.27}{100} } \\=0.04440

95% Z critical value = 1.96

Margin of error = 1.96*0.0444 = 0.0870

Confidence interval = sample proportion ±margin of error

0.642983946

0.817016054

(0.6430, 0.8170)

4 0
3 years ago
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raketka [301]
3+4=7
7 x 8=56
There will be 56 airplanes :)Hope this helped!
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3 years ago
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HELLO I REALLY NEED HELP WITH THIS QUESTION:
Ostrovityanka [42]

Answer:

It is the 3rd choice, They didn't multiply by one half

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3 years ago
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