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zavuch27 [327]
3 years ago
5

If Two-thirds = StartFraction x over 12 EndFraction, what is the value of x? 4 8 18 24

Mathematics
2 answers:
Inessa [10]3 years ago
6 0

Answer:

8

Step-by-step explanation:

\frac{2}{3}  =  \frac{x}{12}  \\ x =  \frac{2 \times 12}{3}  \\ x = 2 \times 4 \\ x = 8

svlad2 [7]3 years ago
5 0

Answer:

B) 8

Step-by-step explanation:

<h2>2\3= X/12</h2><h2>3X=24</h2><h2>24÷3=8</h2><h2>The answer is 8 </h2>
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99 pencils cost \$7.74$7.74dollar sign, 7, point, 74. Which equation would help determine the cost of 666 pencils? Choose 1 answ
balu736 [363]

Answer:

\large \boxed{\text{A) } \dfrac{6}{x} = \dfrac{9}{\$7.74}}

Step-by-step explanation:

9 pencils cost $7.74

6 pencils cost x

The ratios are  

\dfrac{9}{6} = \dfrac{\$7.74}{x}

According to the alternendo property,

\dfrac{9}{6} = \dfrac{\$7.74}{x} \Rightarrow \dfrac{9}{\$7.74} = \dfrac{6}{x}\\\\\text{The correct answer is $\large \boxed{\mathbf{ \dfrac{6}{x} = \dfrac{9}{\$7.74}}}$}

4 0
3 years ago
A music buff wants to estimate the percentage of students at a midwestern university who believe that elvis is still alive. how
gulaghasi [49]
Since we are not given any information about the proportion, we will assume the sample proportion to be 0.50

so,
p = 0.50
The Error is 10% percentage point. This means that on either side of the population proportion the error is 5% so E = 0.05
z = 1.645 (Z value for 90% confidence interval)

The margin of error for population proportion is calculated as:

E=z* \sqrt{ \frac{p(1-p)}{n} }  \\  \\ &#10; \frac{E}{z} = \sqrt{ \frac{p(1-p)}{n} }  \\  \\ &#10;( \frac{E}{z} )^{2}= \frac{p(1-p)}{n} \\  \\ &#10;n= p(1-p)* (\frac{z}{E})^{2}  \\  \\ &#10;n=271

This means 271 students should be included in the sample
5 0
4 years ago
When making a horizontal translation your y-value changes and when making a vertical translation your x-value changes. true or f
Ann [662]
False
The horizontal translation is from left to right which affects the x-value while the vertical translation is up to down which affects the y-value

Good luck!
3 0
3 years ago
A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure anti
prohojiy [21]

ANSWER

Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

To proof

let us assume that the fluid should be drained and replaced with pure antifreeze be x .

As given

A radiator contains 10 quarts of fluid, 30% of which is antifreeze.

Now write 30% in the decimal form

= \frac{30}{100}

Now write 60% in the decimal form

= \frac{60}{100}

After  drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )

The quantity of  antifreeze is

= \frac{30\times (10 - x)}{100}

The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

than the equation becomes

= x + \frac{30\times ( 10 - x )}{100} = \frac{60\times10}{100}

solyving

100x +300 - 30x = 600

70x = 300

x = \frac{300}{70}

x = 4.28 quarts (approx)

Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

Therefore the option (c.) is correct .

3 0
4 years ago
Read 2 more answers
The legs of a right triangle are 18 centimeters and 80 centimeters long. What is the length of the hypotenuse
Brilliant_brown [7]
a^2 + b^2 = c^2\\\\18^2 + 80^2 = c^2\\\\6724 = c^2\\\\c = \sqrt{6724}\\\\ c = 82

The hypotenuse is 82 centimeters long.
4 0
4 years ago
Read 2 more answers
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