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3 years ago

Which of these numbers are 11 units from 0 on the number line? A 0 B+11 C-11

Mathematics

2 answers:

deff fn [24]3 years ago

8 0

It can be either B. 11 or C. -11

Kaylis [27]3 years ago

7 0

Answer: The correct options are

(B) +11

(C) -11.

Step-by-step explanation: We are given to select the numbers from the options that are 11 units from 0 on the number line.

We know that

the distance between a and b on the number line is given by

$D=b-a,$ where b is greater than a.

So, we have

the distance between 0 and 0 on the number line is

$D=0-0=0~\textup{units}.$

The distance between +11 and 0 is

$D=+11-0=11~\textup{units}.$

The distance between -11 and 0 is

$D=0-(-11)=11.$

Thus, the required numbers that are 11 units from 0 are +11 and -11.

Options (B) and (C) are CORRECT.

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Answer:

Part 1

The mistake is Step 2: P + 2·x = 2·y

Part 2

The correct answer is

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Step-by-step explanation:

Part 1

The student's steps are;

Step 1; P = 2·x + 2·y

Step 2: P + 2·x = 2·y

Step 3: P + 2·x/2 = y

The mistake in the work is in Step 2

The mistake is moving 2·x to the left hand side of the equation by adding 2·x to <em>P </em>to get; P + 2·x = 2·y

Part 2

To correct method to move 2·x to the left hand side of the equation, leaving only 2·y on the right hand side is to subtract 2·x from both sides of the equation as follows;

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3 years ago

A snowball has a radius of 7cm. What is the volume of the snowball?

BabaBlast [244]

Answer:

The volume is 1436.8 $in^2$ .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

$V = \frac{4}{3} \pi r^3$

-Use the radius for the formula:

$V = \frac{4}{3} \pi 7^3$

-Then, you solve:

$V = \frac{4}{3} \pi 7^3$

$V = \frac{4}{3}$ × $\pi$ × $7^3$

$V = \frac{4}{3} \pi$ × $343$

$V = \frac{1372}{3} \pi = 1436.755$

-Round the answer to the nearest tenth:

$V = 1436.8$

So, therefore the volume is 1436.8 $in^2$ .

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