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4 years ago

If y varies directly as x and y = 60 when x = 12, find y if x = 35.

Mathematics

1 answer:

STatiana [176]4 years ago

7 0

Answer:2

Explanation:

The statement is expressed as

∝

inverse means

variable

To convert to an equation introduce k, the constant of variation.

⇒

To find k use the given condition that y = 8 when x = 4

⇒

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

−−−−−−−−−−−−

→

⇒

when

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9. What is 74 as a mixed number?

Fittoniya [83]

Answer:

Here we will show you how to convert the improper fraction 74/9 to a mixed number (aka mixed fraction). We start by setting up the fraction below.

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 74 by 9 and keep only what is to the left of the decimal point:

74 / 9 = 8.2222 = 8

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

74 - (9 x 8) = 2

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 74/9 as a mixed number is:

Improper Fraction To Mixed Number Converter

74/9 as a mixed number is not the only problem we solved. Go here to convert another improper fraction to a mixed number.

What is 74/10 as a Mixed Number?

Here is the next improper fraction on our list that we converted to a mixed number.

6 0

4 years ago

Find the equation perpendicular to the line y=−3x+5 that passes through point (2, 6).

ololo11 [35]

Hey there! :)

Perpendicular to y = -3x + 5 ; passes through (2, 6).

Our slope is -3. We know this because it is in the "m" position from slope-intercept form. However, since our equation we're looking for is perpendicular to our given one, we must find the negative reciprocal of -3.

A negative reciprocal is simply a number that is flipped and either given a negative or gets a negative removed.

So the negative reciprocal of -3 is 1/3. This means that our new slope is 1/3.

Now, using point-slope form ( y-y₁=m(x-x₁) ), our new slope (1/3) & (2, 6) , let's find our new equation!

y-y₁=m(x-x₁) y - (6) = 1/3(x - 2)

Simplify.

y - 6 = 1/3x - 2/3

~Hope I helped!~

5 0

4 years ago

Read 2 more answers

According to a recent study of 7335 young people in the US, 30% had been arrested for a crime other than a traffic violation by

victus00 [196]

Answer:

a) Statistic.

b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

Step-by-step explanation:

a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.

b) We can use the statistic to estimate a confidence interval for the parameter of the population.

The standard error for the proportion is calculated as:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{N}}=\sqrt{\dfrac{0.3\cdot 0.7}{7335}}=\sqrt{2.83\cdot10^5}= 0.00535$

The margin of error is 0.01. We can use this value to determine the level of confidence that represents.

The formula for the margin of error is:

$E=z\cdot \sigma_p=0.01\\\\z\cdot 0.0535=0.01\\\\z=1.87$

This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.

The interval for this margin of error is:

$p-E\leq \pi \leq p+E\\\\0.30-0.01\leq \pi \leq 0.30+0.01\\\\0.29\leq \pi \leq 0.31$

Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

3 0

4 years ago

the present age of prisca and Ashmaal are in ratio 2:3 . After 4 yrs the ratio of their ages will be 4:5 the present age of pris

Solnce55 [7]

Answer:

he Present age of Prisca will be 4 years .

Step-by-step explanation:

Given as :

The ratio of present age of Prisca and Ashmaal = 2 : 3

Let The present age of Prisca = 2 x years

Let The present age of Ashmaal = 3 x years

After 4 years , the ratio of present age = 4 : 5

i.e $\frac{ 2 x + 4}{3 x + 4}$ = $\frac{4}{5}$

Or, 5 × (2 x + 4) = 4 × (3 x + 4)

Or, 10 x + 20 = 12 x + 16

Or, 12 x - 10 x = 20 - 16

Or, 2 x = 4

∴ x = $\frac{4}{2}$

i.e x = 2

So, The present age of Prisca = 2 x = 2 × 2 = 4 years

And The present age of Ashmaal = 3 x = 3 × 2 = 6 years

Hence, The Present age of Prisca will be 4 years . Answer

4 0

4 years ago

What do you call a female bug that floats math worksheet answer key?

Elena L [17]

Answer to this problem will depend upon the set of questions given with the worksheet or page having question "What do you call a female bug that floats math worksheet answer key?".

You haven't provided the set of questions but i can explain about how to get the answer of the name of bug in that sheet.

Look at the sample picture of similar problem that is attached with the answer. You have to solve the given set of problem and fill the correct matching answer in the blank box.

Say answer of first problem is choice named "T" then fill the letter "T" in the blank box numberd "1".

Same way solve other problem and fill correct name of the letter in each blank boxes.

Now rearrange letters in your answer box in increasing order of numbers 1 to 15. The resulting name will be the final answer for the name of the bug.

6 0

3 years ago

If y varies directly as x and y = 60 when x = 12, find y if x = 35. ​

If y varies directly as x and y = 60 when x = 12, find y if x = 35.