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SVEN [57.7K]
3 years ago
5

What is the sum of 21 and 5 times a number f is 61

Mathematics
2 answers:
sukhopar [10]3 years ago
5 0

Answer:

Answer is below

Step-by-step explanation:

21 + 5f = 61       Turn the words into an equation

-21        - 21       Subtract 21 from both sides

5f = 40              Divide both sides by 5

f = 8

If this answer is correct, please make me Brainliest!

oksian1 [2.3K]3 years ago
3 0

Answer:

f = 8

Step-by-step explanation:

21 + 5f = 61 \\ 5f = 61 - 21 \\ 5f = 40 \\  \frac{5f}{5}  =  \frac{40}{5}  \\ f = 8

<h3>Hope this helps</h3><h3><em>Brainliest</em><em> </em><em>Appreciate</em><em>d</em><em>.</em></h3>
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What can be concluded if ∠EJS and ∠SJV form a linear pair?
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They are supplementary.

Step-by-step explanation:

A linear pair consists of two opposite angles whose non-common sides create a straight line. If a linear pair consists of two angles, then they are supplementary

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3 years ago
If a punch bottle says 10% fruit juice, and it is a 150 milliliter bottle, how many milliliters of fruit juice is in the bottle?
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Step-by-step explanation:

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2 years ago
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a point on the rim of a wheel moves with a velocity of 80 feet per second. What is the angular velocity of the point if the diam
valentina_108 [34]

The angular velocity is 16 radians per second

<u>Solution:</u>

The angular velocity of point is given by formula:

w = \frac{v}{r}

Where,

w is the angular velocity in radians

v is the linear velocity

r is the radius

Given that diameter of wheel is 10 feet

radius=\frac{diameter}{2}

radius = \frac{10}{2}=5

Thus radius is 5 feet

A point on the rim of a wheel moves with a velocity of 80 feet per second

Linear velocity = v = 80 feet per second

Therefore, angular velocity is given as:

w = \frac{80}{5} = 16

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6 0
3 years ago
12% of children are nearsighted, but this condition often is not detected until they go to kindergarten. A school district tests
Klio2033 [76]

Answer:

There is a 34.60% probability that 0 or 1 of them is nearsighted.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they are nearsighted, or they are not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem, we have that:

12% of children are nearsighted. This means that p = 0.12.

A school district tests all incoming kindergarteners' vision. In a class of 18 kindergarten students, what is the probability that 0 or 1 of them is nearsighted?

There are 18 students, so n = 18

This probability is:

P = P(X = 0) + P(X = 1)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{18,0}.(0.12)^{0}.(0.88)^{18} = 0.1002

P(X = 1) = C_{18,1}.(0.12)^{1}.(0.88)^{17} = 0.2458

So

P = P(X = 0) + P(X = 1) = 0.1002 + 0.2458 = 0.3460

There is a 34.60% probability that 0 or 1 of them is nearsighted.

5 0
3 years ago
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