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Murljashka [212]
2 years ago
5

Apply the distributive property to factor out the greatest common factor of all three terms. {24c + 36d + 18} =24c+36d+18=24, c,

plus, 36, d, plus, 18, equals
Mathematics
1 answer:
Nastasia [14]2 years ago
7 0

Answer:

6(4c + 6d + 3})

Step-by-step explanation:

Given

{24c + 36d + 18}

Required

Apply distributive property

We have:

{24c + 36d + 18}

Factor out 6 (to apply distributive property)

{24c + 36d + 18} = 6(4c + 6d + 3})

Hence, the equivalent is:

6(4c + 6d + 3})

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What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?
Ket [755]

Option C: 220 \ cm^2 is the surface area of the rectangular prism

Explanation:

The height of the rectangular prism is 5 cm

The width of the rectangular prism is 10 cm

The depth of the rectangular prism is 4 cm

We need to determine the surface area of the rectangular prism.

The surface area of the rectangular prism can be determined using the formula,

A=2(w l+h l+h w)

Substituting w=10 , h=5 and l=4 in the formula, we get,

A=2 \cdot(10 \cdot 4+5 \cdot 4+5 \cdot 10)

Multiplying the terms within the bracket, we have,

A=2 \cdot(40 +20+5 0)

Adding all the values within the bracket, we get,

A=2 \cdot(110)

Multiplying, we have,

A=220

Thus, the surface area of the rectangular prism is 220 \ cm^2

Hence, Option C is the correct answer.

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3 years ago
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7 0
2 years ago
What is 3/ 4 of 6 / 7?
Vika [28.1K]
3/4 of 6/7.    The of means multiplication.

= 3/4  *  6/7.  2 into 4 is 2 and 2 into 6 is 3.
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3 years ago
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Which number line shows 1.5 graphed?
Mamont248 [21]

Answer:

The third one down

Step-by-step explanation:

6 0
2 years ago
Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a
Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

U(x, y) = x^2y^8

MU_x =\frac{\partial U}{\partial x}  = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\

Price of apples, Px=$4

Price of tomatoes,  Py=$3

Ratio of their Marginal Utilities

\frac{MU_x}{MU_y}  =  \frac{Px}{Py}

\frac{y}{4x}  =  \frac{4}{3}

y=\frac{16x}{3}

Since Natalie’s income is $320

320 = xPx+yPy

320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33

Since x=16, Natalie will consume 16 apples.

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3 years ago
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