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3 years ago

Find the ratio y:x, if 3x=11y,

Mathematics

1 answer:

Aleks [24]3 years ago

7 0

Answer:

3:11

Step-by-step explanation:

3x=11y

Rearrange to the format of the ratio.

11y = 3x

Let's find y/x. y/x is y:x.

11y = 3x

Divide both sides by 11.

11y/11 = 3x/11

y = 3x/11

NOW LET'S DIVIDE BOTH SIDES BY x TO GET x AS THE DENOMINATOR OF y.

y = 3x/11

y/x = (3x/11)/x

y/x = (3x/11) * 1/x

y/x = 3/11

Therefore, y:x = 3:11

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Jen can bike 12 miles in 40 minutes. How much time will she need to bike 30 miles if her speed remains the same? PLEASE HELP QUI

murzikaleks [220]

Answer: 100 minutes

Step-by-step explanation:

With the given information, we can use a proportion to figure out how long it would take for Jen to bike 30 miles.

$\frac{12mi}{40min} =\frac{30mi}{x} \\$

$12x=30*40$

$12x=1200$

$x=100$

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3 years ago

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You collect 140 total pieces of candy trick or treating and 35 of them are m&m's. What fraction of the candy is not m&m'

tekilochka [14]

$\frac{3}{4}$ of the candy is not m&m's.

Step-by-step explanation:

Given,

Total pieces of candy = 140

Number of m&m's = 35

Fraction = $\frac{Number\ of\ m&m}{Total\ pieces\ of\ candy}$

Fraction = $\frac{35}{140}$

Both 35 and 140 are multiples of 7, therefore,

Fraction of m&m's = $\frac{5}{20} = \frac{1}{4}$

As the number of m&m's fraction and not m&m's fraction will make a total of 1, therefore

fraction of m&m's + fraction of not m&m's = 1

fraction of not m&m's = 1 - fraction of m&m's

fraction of not m&m's = $1-\frac{1}{4}=\frac{4-1}{4}$

fraction of not m&m's = $\frac{3}{4}$

$\frac{3}{4}$ of the candy is not m&m's.

Keywords: fraction, subtraction

Learn more about fractions at:

#LearnwithBrainly

7 0

2 years ago

Given f(x)=1/x+5 and g(x)=x-2

vladimir1956 [14]

For this case we have the following functions:

$f (x) = \frac {1} {x + 5}\\g (x) = x-2$

We must find f (g (x)). So:

$f (g (x)) = \frac {1} {(x-2) +5} = \frac {1} {x-2 + 5} = \frac {1} {x + 3}$

Finally we have to:

$f (g (x)) = \frac {1} {x + 3}$

For the function to be defined the denominator must be different from 0. That is x different from -3.

Answer:

Option B

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3 years ago

The weights of soy patties sold by Veggie Burgers Delight are normally distributed. A random sample of 15 patties yields a mean

Elden [556K]

Answer:

$t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549$

Step-by-step explanation:

Data given and notation

$\bar X=3.8$ represent the sample mean

$s=0.5$ represent the sample standard deviation for the sample

$n=15$ sample size

$\mu_o =4$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:

Null hypothesis: $\mu \geq 68$

Alternative hypothesis: $\mu < 4$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549$

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3 years ago

The stained glass window is a regular hexagon which is 2.5 meters on a side. What is the approximate length of the metal frame s

posledela

Answer:

15 meters

Step-by-step explanation:

One side is 2.5 meters, so if they're all the same then you would multiply that by 6

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3 years ago

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