MATHEMATICS MIDDLE SCHOOL

Simplify (b^9)^3
A.b^24
B.b^6
C.b^27
D.b^9

Answers

Answer 1
Answer:

Answer:

C. b^27

Step-by-step explanation:

By the definition of exponents

(b^9)^3=b^9*b^9*b^9

And since for any real numbers r,x, and y

r^x*r^y=r^((x+y))

This makes

(b^9)^3=b^9*b^9*b^9=b^{{9+9+9}}=\boxed{b^(27)}

Which is choice C.

Alternatively, we could use the identity

(r^x)^y=r^(xy)

in which case

(b^9)^3=b^((9*3))= \boxed{b^(27)}

which is the same answer.

Answer 2
Answer:

Answer:b²⁷

Step-by-step explanation:

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Find the volume of the composite figure. please!

Answers

64 is the annswer that is the answer 
64 ft would be the correct answer

which is steeper a hill that rises 2 feet for every 10 feet of run, or a hill that rises 2 feet for every 15 feet of run? Explain

Answers

Answer: Ok, the first hill rises 2 feet for every 10 feet of run.

So if both hills start in the ground where y = 0, we can write the height as a function of x in the next way: y = (2/10)*X so for every 10 feet you advance in x, you rise 2 feet in Y, where here 2/10 is the slope.

The second hill is described by y = (2/15)*X, so for every 15 feet in x, you rise 2 feet in y, and the slope is 2/15

Is easy to see that 2/10 > 2/15, so the slope of the first hill is bigger than the slope of the second hill, this means that the first hill is steeper than the second.
In order to figure this out you need to use slope intercept for for each of these hills. Let's say the first hill is HA and the second hill is B

slope intercept: y = mx + b

HA: y = (2/10)x
HB: y = (2/15)x

As you can see when you plot this on a graph, HB is steeper because the line rises more sharply.

Which fraction is equal to 0.8? Express your answer in simplest form. A. 3/5 B. 4/5 C. 1/8 D. 5/8

Answers

0.8 = 0.8 * (10)/(10) = (8)/(10) =(4* 2)/(5* 2) = \boxed{\bf{(4)/(5)}}

Answer is B

Emma makes a poster for the schools spring concert she divides the poster into 8 equal parts she uses two if the parts for the title what fraction of the poster does Emma use for the title

Answers

2/8 or 1/4. 1/4 is just simplified. I hope it helps!

The variable z is directly proportional to x. When x is 3, z has the value 48. What is the value of z when x = 7?

Answers

Answer:

112

Step-by-step explanation:

Given z is directly proportional to x then the equation relating them is

z = kx ← k is the constant of proportionality

To find k use the condition x = 3 when z = 48

k = (z)/(x) = (48)/(3) = 16, thus

z = 16x ← equation of proportionality

When x = 7, then

z = 16 × 7 = 112

What is 340% of 35?
If you are kind enough please show a simple solution...

Answers

340% is equal to 3.4.
You multiply 3.4 and 35.
3.4x35=119
Just saying, usually "of" means multiply.
so basically it's saying 3.4 multiplied by 35.
The equation for this would be a/b = p%/100
Plug in the variables to equal a/35 = 340 / 100
Do cross multiplication so you get 35×340 = 100a
11900  = 100a
119 = a
This means that 340% of 35 is 119.

Another way to do this is to simply multiply 35 by 3.4, which would also equal 119. If there was another equation, for example 70% of 35, multiply 35 by 0.7 to get 24.5. So you move the percent two decimal places.
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