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chubhunter [2.5K]
3 years ago
9

What expressions are equivalent to 3(4x+3)?

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer: B, D, E

Step-by-step explanation: Its very easy to check, For B, you notice that it is the same, only the numbers are swapped. In multiplication, this is perfectly fine. For D, I just knew that the answer was 12x+9. And in D, there are 3 4x and 3 threes', so that one was correct. And for E, all you have to do is to multiply accordingly to the distributive property

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Walt's Marina generated the following regression based on the number and cost of daily rentals of its boat slips to boat owners
Lana71 [14]

Answer:

The answer is "Option A and Option B"

Step-by-step explanation:

In question 1:

The fixed cost=2621.21  

The unit variable cost=35.58  

Calculating the total cost for 45 boat slips:

=2621.21+(45 \times 35.58)\\\\=2621.21+(1601.1)\\\\=4222.31 \approx 4222

In question 2:

It is the pure fixed costs that remain consistent in total regardless of dynamic loads. An overall cost B both for 1000 and 2000 unit is unchanged, therefore the Cost B is a fixed sum.

5 0
3 years ago
a recipe calls for 3 cups of flour and 2 cups of sugar if you only have 2.5 cups of sugar to keep it proportional how much sugar
belka [17]

Answer:

You would need to use 2.4 cups of sugar if you have 2.5 cups of flour.

Step-by-step explanation:

Divide: 3 divided by 2.5=1.2

Multiply: 1.2 times 2=2.4

Answer: 2.4 cups of sugar

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/night/afternoon!!!

8 0
3 years ago
In the illustration below, the three cube-shaped tanks are identical. The spheres in any given tank
fredd [130]

Answer:

1) Volume occupied by the spheres are equal therefore the three tanks contains the same volume of water

2) Amount \ of \, water \ remaining \ in \, the \ tank \ is \  \frac{x^3(6-\pi) }{6}

Step-by-step explanation:

1) Here we have;

First tank A

Volume of tank = x³

The  volume of the sphere = \frac{4}{3} \pi r^3

However, the diameter of the sphere = x therefore;

r = x/2 and the volume of the sphere is thus;

volume of the sphere = \frac{4}{3} \pi \frac{x^3}{8}= \frac{1}{6} \pi x^3

For tank B

Volume of tank = x³

The  volume of the spheres = 8 \times \frac{4}{3} \pi r^3

However, the diameter of the spheres 2·D = x therefore;

r = x/4 and the volume of the sphere is thus;

volume of the spheres = 8 \times \frac{4}{3} \pi (\frac{x}{4})^3= \frac{x^3 \times \pi }{6}

For tank C

Volume of tank = x³

The  volume of the spheres = 64 \times \frac{4}{3} \pi r^3

However, the diameter of the spheres 4·D = x therefore;

r = x/8 and the volume of the sphere is thus;

volume of the spheres = 64 \times \frac{4}{3} \pi (\frac{x}{8})^3= \frac{x^3 \times \pi }{6}

Volume occupied by the spheres are equal therefore the three tanks contains the same volume of water

2) For the 4th tank, we have;

number of spheres on side of the tank, n is given thus;

n³ = 512

∴ n = ∛512 = 8

Hence we have;

Volume of tank = x³

The  volume of the spheres = 512 \times \frac{4}{3} \pi r^3

However, the diameter of the spheres 8·D = x therefore;

r = x/16 and the volume of the sphere is thus;

volume of the spheres = 512\times \frac{4}{3} \pi (\frac{x}{16})^3= \frac{x^3 \times \pi }{6}

Amount of water remaining in the tank is given by the following expression;

Amount of water remaining in the tank = Volume of tank - volume of spheres

Amount of water remaining in the tank = x^3 - \frac{x^3 \times \pi }{6} = \frac{x^3(6-\pi) }{6}

Amount \ of \ water \, remaining \, in \, the \ tank =  \frac{x^3(6-\pi) }{6}.

5 0
4 years ago
2.8×10 to the -3 power minus 0.00065
Bas_tet [7]

Answer:

the answer is 3.37723077E13

Step-by-step explanation:

4 0
4 years ago
Lines a and b are parallel and lines e and f are parallel.
Anna11 [10]
X = 82

a corresponding angle of 82 is also the vertical angle to x. This makes then equal.
3 0
4 years ago
Read 2 more answers
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