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4 years ago

Find an equivalent expression to represent the product shown as a sum.

Mathematics

2 answers:

labwork [276]4 years ago

6 0

The answer is B 3*2x= 6x and 3*4=12.

antiseptic1488 [7]4 years ago

3 0

3(2x + 4)

3 x 2x = 6x
3 x 4 = 12

6x + 12 is your answer

B is your answer

hope this helps

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A bakery offers a small circular cake with a diameter of 8 inches. It also offers a large circular cake with a diameter of 24 in

Elanso [62]

We must find the area of each cake's top.

Formula for area of a circle:

$A = \pi r^{2}$ where r is the radius.

<span>small cake:
</span>Plug in 4 for r because the radius is 4. (They give us the diameter, which is 8, and the radius is half that)

$A = \pi 4^{2}$

A = 16π

<span>big cake:
</span>Repeat the process:
Plug in 12 for r because the radius is 12. (They give us the diameter, which is 24, and the radius is half that)

$A = \pi 12^{2}$

A = 144π

So our two radii are 144π and 16π.
The large cake's top is not 3 times the area of the small cake's.

This makes sense because you are squaring the radius, which makes the fact that the larger cake's diameter is triple the smaller cake diameter irrelevant.

Hope this helped! ^-^

7 0

3 years ago

Read 2 more answers

Let A = {x. y}<br><br> B = {1, 2, 3}<br><br> Find A X B and B X B

Whitepunk [10]

Answer:

Are the following:

Step-by-step explanation:

AXB are all the possible pairs (a,b) where a is in A and b is in B. Then

AXB = {(x,1), (x,2), (x,3), (y,1), (y,2), (y,3)}.

Now, BXB are all the possible pairs (a,b) where a and b are in B. Then

BXB = {(1,1) (1,2), (1,3), (2,2), (2,1), (2,3), (3,1), (3,2), (3,3)}.

4 0

3 years ago

Multiply.

Nady [450]

$\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}$

<h2>Explanation:</h2>

Here we have the following expression:

$3\sqrt{22}\sqrt{58}\sqrt{18}$

So we need to simplify that radical expression. By property of radicals we know that:

$\sqrt[n]{a}\sqrt[n]{b}=\sqrt[n]{ab}$

So:

$3\sqrt{22}\sqrt{58}\sqrt{18}=3\sqrt{22\times 58 \times 18}=3\sqrt{22968}$

The prime factorization of 22968 is:

$22968=2^3\cdot 3^2\cdot11\cdot 29$

Hence:

$3\sqrt{22968}=3\sqrt{2^3\cdot 3^2\cdot11\cdot 29}=3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29}$

By property:

$\sqrt[n]{a^n}=a$

So:

$3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29} \\ \\ 3(2)(3)\sqrt{2\cdot 11\cdot 29}=18\sqrt{638}$

Finally:

$\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}$

<h2>Learn more:</h2>

Radical expressions: brainly.com/question/13452541

#LearnWithBrainly

3 0

3 years ago

Solve for u . <br><br> - 4u + 38 = 2(u-8)<br><br> Simplify your answer as much as possible.

zloy xaker [14]

Hi there!
Let's solve this equation step by step!

$- 4u + 38 = 2(u - 8)$
First work out the parenthesis, which can for instance be done using rainbow technique.

$- 4u + 38 = 2u - 16$
Subtract 2u from both sides.

$- 6u + 38 = - 16$
Subtract 38 from both sides.

$- 6u = - 54$
And finally divide both sides by -6, in order to isolate the variable u. Remember that dividing a negative by a negative gives a positive outcome.

$u = \frac{ - 54}{ - 6} = 9$
Hence, the answer is u = 9.
~ Hope this helps you!

8 0

3 years ago

Read 2 more answers

in a canoe race, a team paddles downstream 480 m in 60 s. The same team makes the trip upstream in 80 s. Find the team's rate in

Vera_Pavlovna [14]

480=60(v+s)

480=60v+60s

8=v+s

s=8-v...

480=80(v-s) using s from above we get:

480=80(v-(8-v))

6=v-8+v

6=2v-8

2v=14

v=7, and since s=8-v, s=1

So the rate of the team is 7m/s while the rate of the stream is 1m/s

7 0

3 years ago