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Molodets [167]
3 years ago
13

Simplify: 8.x • 2 • 2 • 2 •x • 8

Mathematics
2 answers:
Brums [2.3K]3 years ago
8 0

Answer: 64x^2

Step-by-step explanation:

Mice21 [21]3 years ago
4 0
The answer is 384•x^2
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PLEASE HELP!
ki77a [65]

Answer: 450 kcal

Step-by-step explanation:

So you know the food is 360 kcal per 1 cup

by setting up a proportion, you can relate the number of kcal to cups.

\frac{360 kcal}{1 cup} = \frac{?kcal}{(3/4 +1/2)cup} \\\\

we can simplify the fraction to this:

\frac{360 kcal}{1 cup} = \frac{?kcal}{(5/4)cup} \\\\

by cross multiplying you can solve the proportion

(360) * (5/4) = (?) * (1)

simplifying gets this:

450 = ?

so he ate 450 kcal total

7 0
3 years ago
Julian’s friend James also has a tank in the shape of a triangular prism. The dimensions of James’ tank are each exactly 2 3/4 t
malfutka [58]

The approximate area of the triangular base of James’ tank is 3025 in²

To find the approximate area of the triangular base of James' tank, we need to know what scale is.

<h3>What is scale?</h3>

A scale is the ratio of two dimension. It is given by scale = New dimension/old dimension

Given that the dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank.

The scale of the area of James' tank to the area of triangular base of Julian's tank is S = (2³/₄)²

= (11/4)²

= 121/16

Let

  • A = area of triangular base of James' tank,
  • A' = area of triangular base of Julian's tank = 400 in²

So, scale, S = A/A'

<h3>The approximate area of the triangular base of James’ tank</h3>

So, making A subject of the formula, we have

A = SA'

A = 121/16 × 400 in²

A = 121 × 25 in²

A = 3025 in²

So, the approximate area of the triangular base of James’ tank is 3025 in²

Learn more about area of triangle here:

brainly.com/question/27436493

#SPJ1

5 0
3 years ago
Simplify.<br> Rewrite the expression in the form b^n<br><br> (b^3)^2
Alexxandr [17]

Step-by-step explanation:

a^n={\underbrace{a\cdot a\cdot a\cdot...\cdot a}_{n}

<h2>METHOD 1.</h2>

\left(b^3\right)^2=\underbrace{b^3\cdot b^3}_{2}=\underbrace{b\cdot b\cdot b}_{3}\cdot\underbrace{b\cdot b\cdot b}_{3}=\underbrace{b\cdot b\cdot b\cdot b\cdot b\cdot b}_{6}=b^6

<h2>METHOD 2.</h2>

\left(b^3\right)^2=\underbrace{b^3\cdot b^3}_{2}=b^{3+3}=b^6\qquad\text{used}\ a^n\cdot a^m=a^{n+m}

<h2>METHOD 3.</h2>

\left(b^3\right)^2=\left(\underbrace{b\cdot b\cdot b}_{3}\right)^2=b^2\cdot b^2\cdot b^2=b^{2+2+2}=b^6\\\text{used}\ (ab)^n=a^nb^n,\ a^n\cdot a^m=a^{n+m}

<h2>METHOD 4.</h2>

\left(b^3\right)^2=b^{3\cdot2}=b^6\qquad\text{used}\ \left(a^n\right)^m=a^{nm}

5 0
3 years ago
-12x + (-4x) + (-5x) =
Radda [10]

Answer:

=-21x

Step-by-step explanation:

-12-4 =-16

-16-5=-21

5 0
3 years ago
Read 2 more answers
Help this test is due at 11! *No links please*
Taya2010 [7]

Answer:

A) Volume of Prism = 48 ft cubed

B) Volume of Pyramid = 16 ft cubed

C) 1/3

This equation is true for all rectangular prisms and rectangular pyramids with the same length, same width, and same height.

Step-by-step explanation:

1) find the volume of the prism

2) volume of a prism = Length x Width x Height

3) 4 x 2 x 6 = 48

4) find the volume of the pyramid

5) volume of a pyramid = Length x Width x Height divided by 3

6) 4 x 2 x 6 = 48 divided by 3 = 16

Hope this helps :)

7 0
3 years ago
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