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2 years ago

Is 4 a factor of 4x+8?

Mathematics

2 answers:

Inga [223]2 years ago

7 0

Answer:

4 is a factor

Step-by-step explanation:

4x+8

4x = 4*x

8 = 4*2

4(x+2)

4 is a factor

mart [117]2 years ago

5 0

Answer:

Yes.

Step-by-step explanation:

Yes because it factors to 4(x + 2).

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Answer:

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3 years ago

Solve the inequality.<br> - 16 - 4x _<0<br> The solution is x

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Answer:

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3 years ago

Property in equation. Find the value of n. 5+4= n+4

Nuetrik [128]

5+4 = n+4
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3 years ago

Use the distributive property to write the next step in simplifying the equation. Use the asterisk symbol (*) to represent multi

Maksim231197 [3]

Given:

The equation is:

$x(4+5)=54$

To find:

The next step in simplifying the equation by using distributive property.

Solution:

Distributive property: According to this property if a, b and c are three real numbers, then

$a(b+c)=ab+ac$

We have,

$x(4+5)=54$

Using the distributive property, we get

$x(4)+x(5)=54$

It can be written as:

$4x+5x=54$

Therefore, the next step of the simplification is $4x+5x=54$ .

5 0

2 years ago

A pet store sells goldfish and hermit crabs,

Elis [28]

Answer:

$Cost = \$28$

Step-by-step explanation:

Given

Represent Goldfish with g and hermit crabs with h.

The first statement, we have:

$7g + 3h = 26$

The second statement, we have:

$4g + 5h = 28$

Required

Determine the selling price of 6 goldfish and 4 hermit crabs

The equations are:

$7g + 3h = 26$ --- (1)

$4g + 5h = 28$ --- (2)

Make g the subject in (2)

$4g + 5h = 28$

$4g = 28 - 5h$

Divide both sides by 4

$g = \frac{1}{4}(28 - 5h)$

Substitute $\frac{1}{4}(28 - 5h)$ for g in (1)

$7g + 3h = 26$

$7(\frac{1}{4}(28 - 5h)) + 3h = 26$

$\frac{7}{4}(28 - 5h) + 3h = 26$

Multiply through by 4

$4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4$

$7(28 - 5h) + 4*3h = 26*4$

Open bracket

$196 - 35h + 12h = 104$

$196 -23h = 104$

Collect Like Terms

$-23h = 104-196$

$-23h = -92$

Make h the subject

$h = \frac{-92}{-23}$

$h = \frac{92}{23}$

$h = 4$

Substitute 4 for h in $g = \frac{1}{4}(28 - 5h)$

$g = \frac{1}{4}(28 - 5*4)$

$g = \frac{1}{4}(28 - 20)$

$g = \frac{1}{4}(8)$

$g = 2$

This implies that:

1 goldfish = $2

1 hermit crab = $4

The cost of 6 goldfish and 4 hermit crabs is:

$Cost = 6g + 4h$

$Cost = 6*\$2 + 4*\$4$

$Cost = \$12 + \$16$

$Cost = \$28$

5 0

3 years ago