How do you write 975% as a fraction, mixed number, or whole number in simplest form?

Answers

Answer 1
Answer: fraction 975/100
mixed number 9 3/4
Answer 2
Answer: 975% = 9.75 = 9 3/4 <====

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Which statement is true regarding the graphed functions? A. f(4) = g(4)
B. f(4) = g(-2)
C. f(2) = g(-2)
D. f(-2) = g(-2)

Answers

Answer:c. F(2)=g(-2)

Step-by-step explanation:

What is the circumference of a circle with a diameter of 45 centimeters? A. 282.7 centimeters
B. 70.7 centimeters
C. 6,361.7 centimeters
D. 141.4 centimeters

Answers

Circumference, C = πd
d = diameter.

C = π*45

C = 45π

C ≈ 45*3.142

C≈ 141.39

C ≈ 141.4

Option D.
It is 141.4 centimetres. This is because the circumference is obtained by multiplying pi with the diameter.

The ratio of SAMs age to hank is 5 to 3. If the sum of their age is 24. How old is is hank?

Answers

lets consider SAM's age is 'x'  and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
 and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.

So the Hank's age is 9 years

.

Is it possible for an event to have a probability of 1? Explain.

Answers

An event that is certain to happen has a probability of 1(So yes an event can have a probability of 1).
 An event that cannot possibly happen has a probability of zero. (examples  below)
 
--If it is Thursday, the probability that tomorrow is Friday is certain, therefore the probability is 1.
--If you are sixteen, the probability of you turning seventeen on your next birthday is 1. It's a certain event.

If m + 4n = 2n + 8m ; what is the ratio of n to m ?a) 1:4, b) 1:-4, c) -4:1, d) 2:7, e) 7:2

Answers

m + 4n = 2n + 8m

To answer the ratio, massage this equation around to find ' n/m ' .

Let's subtract 'm' from each side:

4n = 2n + 7m

Subtract '2n' from each side:

2n = 7m

Divide each side by 'm' :
2 (n/m) = 7

Divide each side by 2 :

n/m = 7/2 . . . . . there's your ratio.  That's choice-'e'.

 
m + 4n = 2n + 8m\n 7m=2n\n m=(2)/(7)n\n\n (n)/(m)=(n)/((2)/(7)n)=(7)/(2)

Solve the following system of linear equations by substitution:
8x-y=-13
6x-3y=15

Answers

Rearrange 8x-y=-13 to y=8x+13
Substitute this in so:
6x-3(8x+13)=15
6x-24x-39=15
-18x-39=15
-18x=54
x=-3

Substitute x into 1st equation:
Y=(8*-3)+13
Y=-24+13
Y=-11
\begin{cases} 8x-y=-13 \n 6x-3y=15 \end{cases}\n \n \begin{cases} -y=-8x-13 \ \ *(-1) \n 6x-3y=15 \end{cases}\n \n\begin{cases} y= 8x+13 \n 6x-3(8x+13)=15 \end{cases} \n \n\begin{cases} y= 8x+13 \n 6x-24x-39=15 \end{cases}

\begin{cases} y= 8x+13 \n 6x-24x =15+39 \end{cases} \n \n\begin{cases} y= 8x+13 \n -18x =54 \ \ / :(-18)\end{cases} \n \n\begin{cases} y= 8*(-3)+13 \n x = -3 \end{cases} \n \n\begin{cases} y= -24+13 \n x = -3 \end{cases} \n \n \begin{cases} y= -11 \n x = -3 \end{cases}