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Varvara68 [4.7K]
3 years ago
7

the length of each side of a cube is 3x+10 Write a polynomial in standard form to represent the surface area of the cube

Mathematics
1 answer:
kari74 [83]3 years ago
3 0
<h3>Answer:  54x^2+360x+600</h3>

==========================================================

Explanation:

One square face has an area of

(length)*(width) = (3x+10)(3x+10) = 9x^2+30x+30x+100 = 9x^2+60x+100

after using the FOIL rule

Multiply that by 6 to get the total area of all 6 faces

6*(9x^2+60x+100) = 54x^2+360x+600

The surface area units are in square feet.

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The sphere below has a radius of 25 cm.
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Answer:

65449.8 cm3

Step-by-step explanation:

We start with the volume formula for a sphere: 4/3 πr3

We start with subbing in 25 to r, then we cube 25, which is equal to 15625.

We multiply 4/3 and pi. And lastly we multiply what we got by 15625 and either round the answer or fphaving fixed your calculator.

5 0
2 years ago
Felix reported that the coldest day on record for his town was five times colder than yesterday’s temperature -4°C what was the
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Answer:

-20 C

Step-by-step explanation:

-5x4=x20

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4 years ago
Which number sequence follows the rule multiply by 3, starting from 4?
mixas84 [53]
Answer

12, 36, 108, 324
3 0
3 years ago
The number of students in a class is 60. The number of boys is seven-fifths the number of girls. Find the number of boys in the
Fynjy0 [20]

Step-by-step explanation:

Let the number of girls = x

Therefore, no. of boys = \frac{7}{5} \times x

\because \: no \: of \:  boys + no \: of \: girls \:  = 60 \\  \\  \therefore \:  \frac{7}{5} x + x = 60 \\  \\ \therefore \:  \frac{7x + 5x}{5} = 60 \\  \\  \therefore \:  \frac{12x}{5} = 60 \\  \\  \therefore \: x = 60 \times  \frac{5}{12}  \\  \\ \therefore \: x = 5 \times 5 \\  \\ \therefore \: x = 25  \\  \\  \therefore \:  \frac{7}{5} x =  \frac{7}{5}  \times 25 = 7 \times 5 = 35 \\

Thus, no of boys in the class is 35.

3 0
3 years ago
The ratio of Shauntay's cards to Jessica's cards is 5 to 3. After Shauntay gives Jessica 12 of her cards, both girls have the sa
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Answer:

They have 48 cards.

Step-by-step explanation:

let s be the number of Shauntay's cards and j be the number of Jessica's cards.

The ratio of Shauntay's cards to Jessica's cards is 5 to 3, then

(1) \frac{s}{j} =\frac{5}{3}

After Shauntay gives Jessica 12 of her cards, both girls have the same number of cards, then

(2) s-12 =j+12.

From (2), we get s= j+24. If we put j+24 instead of s in (1) we get:

\frac{j+24}{j} =\frac{5}{3}

3×j+24×3 = 5×j  From this we get;

2×j=72  and j=36

After Shauntay gives Jessica 12 of her cards, Shauntay and Jessica would have 48 cards.

4 0
3 years ago
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