All categories

2 years ago

Solve the equation using the distributive property and properties ofequally 1/2 (x+6)=18 what is the value of X

Mathematics

1 answer:

Natali [406]2 years ago

7 0

x = 30

The distributive property says that we need to multiply what's in the brackets by 1/2 (so 1/2*x and 1/2*6) to get the equation 1/2x + 3 = 18.

Then we need to subtract our constant, 3, from boths sides to get 1/2x = 15.

Multiply both sides by two to isolate x and you get x = 30.

Hope this helps! :)

You might be interested in

A company uses the function C(x)=20.50+2000, where C is the cost and x is the number of units it produces, to determine its dail

Kipish [7]

You left it out, but I'm thinking that there must be an 'x' next to the '20.50' in the function. I'm so sure of it that I'll assume it, as I proceed to answer the question:

C(x) = 20.50x + 2,000

Subtract 2,000 from each side: C - 2,000 = 20.50 x

Divide each side by 20.50 : x = (C - 2,000) / 20.50

When C = $625,000 . . .

x = (625,000 - 2,000) / 20.50 = 623,000 / 20.50 = 30,390.2439

<em>30,390 complete units</em> are produced, and there are 5 bucks left over,
to split up among all the loyal employees who worked with such diligence and dedication to make it happen. The company's senior management will graciously add each worker's share to his gross pay before taxes for the second month following the close of the current quarter, with a photocopied note inserted in the pay envelope, expressing management's sincere thanks to everyone, an admonition not to spend it all in one place, and a reminder that no matter how many festivals to their god they need to go out to the desert to celebrate, their tally of bricks for the next quarter shall not be diminished.

6 0

2 years ago

Consider the expression 6n2 + 2n + 3 . What is the coefficient of n?

ad-work [718]

Answer:

Step-by-step explanation:

The coefficient is the number in front of the variable.

So, in this case, the coefficient of n^2 is 6 and of n is 2.

6 0

3 years ago

A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack

Bond [772]

The number of small packs is 2 and the number of large packs is 7

Step-by-step explanation:

A school is organizing a cookout where hot dogs will be served. The hot dogs come in small packs and large packs

Each small pack has 8 hot dogs
Each large pack has 18 hot dogs
The school bought 5 more large packs than small packs, which altogether had 142 hot dogs

We need to find the number of small packs purchased and the number of large packs purchased

Assume that the number of the small packs is x and the number of the large pack is y

∵ There are x small packs

∵ Each small pack has 8 hot dogs

∵ There are y large packs

∵ Each large pack has 18 hot dogs

∴ The total number of hot dogs in all packs = 8x + 18y

∵ All packs had 142 hot dogs

- Equate the total number of hot doges by 142

∴ 8x + 18y = 142 ⇒ (1)

∵ The school bought 5 more large packs than small packs

∴ y = x + 5 ⇒ (2)

Now we have system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ 8x + 18(x + 5) = 142

- Simplify the left hand side

∴ 8x + 18x + 90 = 142

- Add like terms in the left hand side

∴ 26x + 90 = 142

- Subtract 90 from both sides

∴ 26x = 52

- Divide both sides by 26

∴ x = 2

- Substitute the value of x in equation (2) to find y

∵ y = 2 + 5

∴ y = 7

The number of small packs is 2 and the number of large packs is 7

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

LearnwithBrainly

5 0

3 years ago

Can someone pls explain I need help

erastovalidia [21]

Answer: 25

Step-by-step explanation: I just entered the equation into my calculator like so.

A negative number times a negative number equals a positive number.

I hope this helps, have a nice day.

4 0

2 years ago

Mr. Burns organized the grades for 11 students in the boxplot below. None of the students earned the same grade. What percent of

leva [86]

Answer:

Step-by-step explanation:

6 0

2 years ago