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3 years ago

Write an equivalence chain with fraction that equals 1/2

1 answer:

7 0

Hi.

An example of a fraction equivalence chain is this:

$\frac{1}{2}, \frac{2}{4}, \frac{4}{8}, \frac{8}{16}, \frac{16}{32}$

You can keep multiplying $\frac{1}{2}$ by 2 to get a fraction chain.

Hope this helps!

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A rectangle has an area of 20 ft.² in a similar rectangle has an area of 180 ft.² what is the ratio of areas of the similar

vovikov84 [41]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{cccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array}\\\\
-----------------------------\\\\$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s^2}{s^2}=\cfrac{20}{180}\implies \left( \cfrac{s}{s} \right)^2=\cfrac{20}{180}\implies \cfrac{s}{s}=\sqrt{\cfrac{20}{180}}
\\\\\\
\cfrac{s}{s}=\cfrac{\sqrt{20}}{\sqrt{180}}\implies \cfrac{s}{s}=\cfrac{2\sqrt{5}}{6\sqrt{5}}\implies \cfrac{s}{s}=\cfrac{2}{6}\implies \cfrac{s}{s}=\cfrac{1}{3}$

6 0

4 years ago

$55 per gallon. 1 gallon covers 100sqft. What is the price per sqft?

marta [7]

the price is 0.55$ per square foot

Step-by-step explanation:

We can solve the problem by using the rule of three.

In fact, we know that:

1 gallon covers an area of $100 ft^2$

While the price per gallon is

$55 per gallon

This means that the price per $100 ft^2$ is $55, since 1 gallon cover $100 ft^2$

Therefore, to find the price per square foot, we can write

$\frac{55}{100}=\frac{x}{1}$

WHere x is the price per square foot. Solving for x,

$x=\frac{55}{100}=0.55\$$

So, the price is 0.55$ per square foot.

Learn more about problems with price:

brainly.com/question/4479991

#LearnwithBrainly

7 0

3 years ago

Find the opposite of 4p3+9p−2 .

stealth61 [152]

-4p^2 - 9p + 2 ezzzzzzz just switch the signs bruhhhh

6 0

3 years ago

100 POINTS!!!!!!!!!!

Ne4ueva [31]

the fiest answer is x=6 for the second one the answer is x=4

Step-by-step explanation:

x+15/5x+1 =15/35 then cross multiply

1st one

5 0

3 years ago

Read 2 more answers

A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = sample proportion of people who prefer to start their own business

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)

= 1 - 0.8577 = 0.1423

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

3 0

3 years ago