I need the answers for all the questions

Answers

Answer 1

Answer: 1) 7/3
2) 21/5
3) 11/4
4) 32/6
5) 1 1/12
6) 5
7) 2 3/10
8)2 1/8

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You are swimming each 25 yard length of a swimming pool 3 seconds faster than your personal best. What integer represents your change in time of your personal best after 200 yards?

Answers

Answer: He takes 24 seconds which represents change in time of his personal best after 200 yards .

Step-by-step explanation:

Since we have given that

Distance he covered by swimming = 25 yards

Time taken by him = 3 seconds

$\text{Speed of his swimming} =(Distance)/(Time)\n\n \text{Speed of his swimming} =(25)/(3)$

Now, if he covers 200 yards , the change of time will be

$\text{Time taken}=(Distance)/(Speed)\n\n\text{Time taken}=(200)/((25)/(3))\n\n\text{Time taken}=(200* 3)/(25)\n\n\text{Time taken}=8* 3\n\n\text{Time taken}=24 seconds$

Hence, he takes 24 seconds which represents change in time of his personal best after 200 yards .

Help me with thissss all

Answers

Answer:

Step-by-step explanation:

a 0.4

b 0.03

do it like this

Answer:

A. 4 tenths or 0.4

B. 5 hundredths or 0.05

C. 30 units or 30

D. 4 units or 4

E. 7 tenths or 0.7

F. 6 hundredths or 0.06

G. 4 thousandths or 0.004

H. 9 hundred or 900

I. 1 hundredth or 0.01

J. 9 thousandths or 0.009

K. 5 tenths or 0.5

L. 6000 units or 6000

M. 70 units or 70

N. 1 thousandth or 0.001

O. 3 thousands or 0.003

P. 2 ten thousandths or 0.0002

Q. 4 hundred thousandths 0.00004

Step-by-step explanation:

The exponent on variable z is _____

Answers

Answer:

Step-by-step explanation:

when the equation goes up the sign of the exponent doesnt change so the powers od z^4 and z which has a exponent of 1 gets subtracted ..

Which of the following statements is true?A) The number 49,836 is divisible by 5, but not by 9.
B) The number 49,836 is divisible by 5 and 9.
C) The number 49,836 is divisible by 3, 6, and 9.
D) The number 49,836 is divisible by 2, 3, and 6.

Answers

Option D

ANSWER:

The number 49,836 is divisible by 2, 3, and 6.

SOLUTION:

Let us check one by one statement.

Consider Option (A)

The number 49,836 is divisible by 5, but not by 9.

Given, 49,836 is divisible by 5.

Divisibility rule for 5 is, last digit of the number should be either 0 or 5.

But here last digit is 6, so given number is not divisible by 5

Hence, this statement is not true.

Consider Option (B)

The number 49,836 is divisible by 5 and 9.

Here again given that, 49,836 is divisible by 5, but we know that it is not divisible by 5.

Hence, this statement is also wrong.

Consider Option (C)

The number 49,836 is divisible by 3, 6, and 9.

Given, 49,836 is divisible by 3.

Divisibility rule for 3 is, sum of the digits must be a multiple of 3.

Now sum of digits = 4+9+8+3+6 = 30.

Since, 30 is an multiple of 3, given number is divisible by 3.

And, 49,836 is divisible by 6.

Divisibility rule for 6 is, the number should be divisible by both 2 and 3.

First let us check divisibility with 2,

Divisibility rule for 2 is, the last digit of the number must any one of 0,2,4,6,8

Here, last digit is 6, so it is divisible by 2

And it is also divisible by 3 as we proved above.

So, the given number is divisible by 6.

And 49,836 is divisible by 9.

Divisibility rule for 9 is, sum of the digits must be a multiple of 9.

Sum of digits = 30 which is not a multiple of 9

So, given number is not divisible by 9

Hence, this statement is wrong.

Consider Option (D)

The number 49,836 is divisible by 2, 3, and 6.

Given, 49,836 is divisible by 2, 3, and 6.

As we have already seen in above case that, 49,836 is divisible by 2, 3 and 6 .Hence statement D is correct.

D is the correct answer because (a) it’s don’t divisible by 5 (b) it’s not divisible by 9 and 5 (c) it’s not divisible by 9

Factorise this expression:3x - x^2

(If possible, please explain the method used to solve it)

My answer is x(3 - x)
Is that right?

Answers

Yes you are correct, GCF of both terms is x, so you can factor x out.

3x - x² ⇒ x(3 - x)

3x - x²
x(3) - x(x)
x(3 - x)
Your answer is right.

Suppose 11 out of 17 students said they were attending a football game. How many students out of 475 would you expect to attend the football game?

Answers

We have to basically multiply:

$\sf{(11)/(17)* 475}$

And simplifying that we get

$\sf{307.35}$

And since there can't be .35 person

So out final answer is $\boxed{\sf{307 people}}$

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