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sweet [91]
2 years ago
6

Use the distributive property to simplify 4(2p+4q+6)

Mathematics
2 answers:
cestrela7 [59]2 years ago
8 0
<span>4(2p+4q+6)

You need to multiply 4 by each variable in the parentheses.
(4*2p) + (4*4q) + (4*6)

8p + 16q + 24 is the answer.</span>
Evgen [1.6K]2 years ago
8 0

Answer:

The simplified form of the provided expression is: 8p+16q+24

Step-by-step explanation:

Consider the provided expression.

4(2p+4q+6)

Distributive property:

a(b+c)=ab+ac

Now use the distributive property to simplify the provided expression.

Distribute 4 inside the parentheses.

4\times 2p+4\times 4q+4\times 6

8p+16q+24

Hence, the simplified form of the provided expression is: 8p+16q+24

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sertanlavr [38]

Answer:

Area of the rectangle: 24 cm²

Area of the circle: 380.13 cm²

Area of between the circle and the rectangle: 356.13 cm²

Step-by-step explanation:

8 0
1 year ago
Dev has 9 shells. Zoe has 55 shells, Zoe gives some shells to Dev. Now zoe has 3 times as many shells as dev. How many shells do
Goryan [66]

Answer:

number of shells zoe gives to dev  = 7

number of shells zoe is left with  = 55-7= 48

number of shells dev has = 9+7=16

Step-by-step explanation:

let the initial number of shells that dev has be A, and initial number of shells that zoe has be B.

let the number of shells that zoe gives to dev be x.

after giiving x shells zoe is left with 3 times the number of shell as that of dev.

therefore number of shells with zoe = 3×number of shells with dev.

number of shells with zoe = initial shells - x = 55-x

number of shells with dev = initial shells + number of shells he gets

                                            = 9+x

therefore (55-x)=3×(9+x)

55-x = 27+3x

55-27=3x+x

4x = 28

x= 7

therefore number of shells zoe gives to dev  = 7

number of shells zoe is left with  = 55-7= 48

number of shells dev has = 9+7=16

6 0
2 years ago
Is "8.313313331..." a rational or irrational number
Snowcat [4.5K]

Answer:

Irrational

Step-by-step explanation:

Repeating decimals are rational.  Nonrepeating are irrational.

This is a nonrepeating decimal.  First you have one 3, then two 3s, then three 3s.  It's not a repeating pattern.  So it's an irrational number.

7 0
2 years ago
The system of equations y = one-fourth x minus 1 and y = negative one-half x minus one-fourth is shown on the graph below. On a
love history [14]

Step-by-step explanation:

<u>Step 1:  Convert into expressions</u>

y = one-fourth x minus 1 → y = \frac{1}{4}x-1

y = negative one-half x minus one-fourth → y = -\frac{1}{2}x - \frac{1}{4}

They intersect at (1, -\frac{3}{4})

Answer: Option A, (1, negative three-fourths)

8 0
2 years ago
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