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3 years ago

What are the characteristics for equivalent fractions

Mathematics

1 answer:

LenaWriter [7]3 years ago

5 0

You are able to multiply both the numerator and the deliminator to get the bigger fraction

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-22 over 22 in simplest form

fenix001 [56]

-1 over 1 you divide by 22

3 0

3 years ago

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How many 8-ounce cups can you fill from 9 gallons of juice

Anastasy [175]

1 gallon = 4 quarts
1 quart = 32 ounces
1 gallon = 128 ounces
9 gallons = 1,152 ounces
Filling 8 ounce cups = 1,152 / 8 = 144 cups

3 0

4 years ago

In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.

ankoles [38]

<h2>Answer:</h2>

$\boxed{\overline{MN}=37.96}$

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find $\overline{MN}$ . Since:

$\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm$

and $\overline{MN}$ is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

$\overline{RN}=\overline{QN}$

By Pythagorean theorem, for triangle NQP:

$\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}$

Applying Pythagorean theorem again, but for triangle MQN:

$\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}$

3 0

3 years ago

Need to keep cell bill under 60.,monthly charge is 30. And texts are 0.05 each. Write an inequality to represent the # of texts

nignag [31]

Answer:

$30 + 0.05x < 60$

The number of texts she can have is less than 600.

Step-by-step explanation:

Total monthly charge

30 + 0.05 for each text.

So, for x tests, the charge is:

$C(x) = 30 + 0.05x$

Write an inequality to represent the # of texts she can have?

It has to be under 60, so:

$C(x) < 60$

$30 + 0.05x < 60$

The solution is:

$0.05x < 30$

$x < \frac{30}{0.05}$

$x < 600$

The number of texts she can have is less than 600.

5 0

3 years ago

HELP PLEASE

vredina [299]

The answer to you question is B for number 1 and for 2 it is C. Hope this helps

4 0

4 years ago

Read 2 more answers