15 is 30% of what number?

Answers

Answer 1

Answer: $15\ is\ 30\%\ of\ x\n\n30\%=(30)/(100)=(3)/(10)=0.3\n\n15\ is\ 0.3\ of\ x\n\ntherefore\n\n0.3x=15\Rightarrow x=15:0.3\n\n\boxed{x=50}\n\nother\ method:$

$\begin{array}{cccc}30\%&-&15&|divide\ both\ sides\ by\ 3\n\n10\%&-&5&|multiply\ both\ sides\ by\ 10\n\n100\%&-&50&-solution\end{array}$

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Which of the following relations is a function?A. (2,4), (-5, 6), (2, 3), (-6, 2)
B. (8, 1), (-5, 4), (2, 1), (8, 2)
C. (2,4), (-5, 2), (8, 1), (-6, 2)
D.
(2,0).(-5, 3), (8, 1), (-5,5)

Answers

Answer: OPTION C

Step-by-step explanation:

A relation is a function when each input value has one and only output value.

For option A:

(2,4), (-5, 6), (2, 3), (-6, 2)

You can observe that the input value "2" has two output values. Then it is not a function.

For option B:

(8, 1), (-5, 4), (2, 1), (8, 2)

You can observe that the input value "8" has two output values. Then it is not a function.

For option C:

(2,4), (-5, 2), (8, 1), (-6, 2)

You can observe that each input value has only one output values. Then it is a function.

For option D:

(2,0).(-5, 3), (8, 1), (-5,5)

You can observe that the input value -5 has two output values. Then it is not a function.

For a set of data to be a function each x value has to have different y values.

A. (2,4), (-5, 6), (2, 3), (-6, 2)

B. (8, 1), (-5, 4), (2, 1), (8, 2)

D.(2,0).(-5, 3), (8, 1), (-5,5)

The bolded coordinates are the ones of each data set that makes it not a function. As you can see the x values all have different y values.

This leaves C. as the answer!

Hope this helped!

PLS HELP ME W THIS QUESTION

Answers

Answer:

A. 60 in³

Step-by-step explanation:

The formula of a volume of a cone:

$V=(1)/(3)\pi r^2H$

r - radius

H - height

We have r = 1.9 in and H = 15 in. Substitute:

$V=(1)/(3)\pi(1.9)^2(15)=\pi(3.61)(5)=18.05\pi\ in^3$

$\pi\approx3\to V\approx18.05\cdot3=54.15\ in^3$

Below are the numbers of fish each person on a fishing trip caught. Which measure or measures of central tendency best reflect the data? Explain your reasoning.3 6 10 8 9 10 11 10 8 4 9 10 1 10 9 8 6 9

Answers

I would say 10 because the number 10 is used more than the other numbers in.

What is the length of a phone call that would cost the same no matter what company is used?Company A - 0.35cents plus 0.3cents per minute
Company B - 0.45cents plus 0.2cents per minute

Answers

Answer: The length of phone call is 1 minute that would cost the same for both the companies.

Step-by-step explanation:

Since we have given that

Company A - 0.35cents plus 0.3cents per minute

Company B - 0.45cents plus 0.2cents per minute

Let the number of minute be x.

So, our equation for company A would be

$0.35+0.3x$

our equation for company B would be

$0.45+0.2x$

According to question, length of phone call that would cost the same.

so, our equation becomes

$0.35+0.3x=0.45+0.2x\n\n0.3x-0.2x=0.45-0.35\n\n0.1x=0.10\n\nx=(0.10)/(0.1)\n\nx=1$

Hence, the length of phone call is 1 minute that would cost the same for both the companies.

company A- 0.35cents plus 0.3cents per minute.

Five years from now a father's age will be three times his son's age and 5 years ago he was seven times as old as his son was. what are their present ages?

Answers

Let's say the son is x years old now,
In five years time, he will be (x+5) years old
The father's age in five years time is 3(x+5)
The son's age five years ago was x-5
The father's age five years ago was 7(x-5)
Five years ago and five years from now are 10 years apart. This means that the father's age five years from now is 10 years more than his age five years ago
7(x-5)+10=3(x+5)
7x-35+10=3x+15
7x-3x=15-10+35
4x=40
x=10
The boy is currently 10 years old
The father will be 3(x+5) in five years time=45
So the father is currently 40 years old

Sarah walks 3.1 kilometers on Monday and 1.35 kilometers on Tuesday. On Wednesday she walks 2.4 times as far as she walked on the previous two days combined. How far does Sarah walk on Wednesday?

Answers

Answer:10.68

Step-by-step explanation:

3.1 + 1.35 = 4.45 4.45 × 2.4 = 10.68

Answer:

10.68

Step-by-step explanation:

i worked it out on a piece of paper but this is my answer

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