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Sonbull [250]
3 years ago
9

1. Find the domain and range of the relation and determine whether it is a function.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
8 0
A. the relation is a function
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What is 8 2/5% of 75? Write your answer as a decimal
likoan [24]

Answer: 0.875

Step-by-step explanation:

The answer that has already been given is perfect in and by itself. I just want to give you some methods for doing these type of questions so that you won’t stagger when you see these type of questions in exams (like the SAT).

Whenever you see such questions, remember the following things. These are conversions of English words to Mathematical tools.

What

=

Any variable like

x

Percent / Percentage / %

=

Divide by 100

of

=

Multiply

is

=

Put an equal to (

=

) sign

I’ll give you an example through a question.

What percent of 200 is 5?

Ans: Replace English words by mathematical tools according to the rules I told you.

x

( What) /100 ( percent)

×

( of) 200

=

( is) 5

In a refined form,

x

100

×

200

=

5

Calculate x. On calculating, x comes out to be

2.5

So, 2.5 percent of 200 is 5.

Now your question is actually very simple if you follow my rules.

You want 87.5%. By the rules, % means divided by 100. So

87.5

%

=

87.5

100

and now using the same strategy, Ans:

875

1000

Disregard the next section if you know how to convert a decimal to a fraction

Section Starts

First, I’ll write the decimal form. Whenever you divide by a number that is in form of 1 followed by

n

number of zeroes. (here 1 is followed by 2 zeroes), you should shift the decimal point to the left side by n places.

In this case, shift decimal point in 87.5 to the left by 2 places. So this becomes 0.875.

This is the answer in decimal point.

Now simultaneously, I’ll teach you how to convert a decimal into a fraction.

Here, you see 2 types of “numbers”. One to the left side of the decimal point and one to the right side of the decimal point.

Here, left side of decimal point is 0 and right side of decimal point is 875.

Count the number of digits in the number to the right side of the decimal point (Here, the number of digits is 3)

Remove the decimal point and divide the number by a number formed by 1 followed by the “digits” we obtained (i.e. 3).

So, 875/1000. Simplify this, and you get your answer.

5 0
2 years ago
A swimmer swam 48 kilometers in d days. What is the value of d if the swimmer swam an average of 3.2 kilometers daily?
Semmy [17]
ANSWER:

d = 15

The swimmer swam 48 kilometres in 15 days.

STEP-BY-STEP EXPLANATION:

Let d = total no. of days the swimmer swam

Total no. of kilometres swam = 48

Average no. of kilometres swam daily = 3.2

THEREFORE:

3.2d = 48

d = 48 / 3.2

d = 15
4 0
3 years ago
The prime factorizations of 30 and 42 are shown.
Zanzabum
The answer would be 3. 3 is the largest factor that both numbers have in common.
5 0
3 years ago
Read 2 more answers
In ^3/13, the 3 is called the:
JulijaS [17]

Answer:

Index

Step-by-step explanation:

The 3 is the index, the √ is the radical sign and the 13 is the radicand.

7 0
3 years ago
NO LINKS!! PART 2: Find the EXACT area and Circumference of each circle​
Tema [17]

Answer:

  2. center: (2, 5); radius: 3; Area: 9π; Circumference: 6π

  4. center: (0, 0); radius: 8; Area: 64π; Circumference: 16π

Step-by-step explanation:

The standard form equation for a circle is ...

  (x -h)² +(y -k)² = r² . . . . . . center (h, k), radius r

The value of r is used in the formulas for area (A) and circumference (C):

  A = πr²

  C = 2πr

__

<h3>2.</h3>

Comparing the given equation to the standard form, we see ...

  (x -h)² +(y -k)² = r²

  (x -2)² +(y -5)² = 9

  (h, k) = (2, 5) . . . . center

  r² = 9

This tells us ...

  r = √9 = 3 . . . . radius

The Area formula uses r² directly:

  Area = πr² = π(9)

  Area = 9π

The Circumference formula uses r:

  Circumference = 2π(3)

  Circumference = 6π

__

<h3>4.</h3>

Comparing the given equation to the standard form, we find ...

  (h, k) = (0, 0) . . . . center

  r² = 64   ⇒   r = √64 = 8 . . . . radius

  Area = 64π

  Circumference = 2π(8) = 16π

7 0
2 years ago
Read 2 more answers
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