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sveta [45]
4 years ago
11

Solve for X: x + 17 = 2(5x - 23)

Mathematics
2 answers:
Sergio039 [100]4 years ago
7 0

Answer:

7; brainliest please!

Step-by-step explanation:

dsp734 years ago
5 0

Answer:

x=+7

Step-by-step explanation:

We move all terms to the left:

x+17-(2(5x-23))=0

We calculate terms in parentheses: -(2(5x-23)), so:

2(5x-23)

We multiply parentheses

10x-46

Back to the equation:

-(10x-46)

We get rid of parentheses

x-10x+46+17=0

We add all the numbers together, and all the variables

-9x+63=0

We move all terms containing x to the left, all other terms to the right

-9x=-63

x=-63/-9

x=+7

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Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the old
ser-zykov [4K]

Answer:

(a) x + 3(x + 4) = 5(x + 2) - 5

(b) youngest: 7 years old

middle: 9 years old

oldest: 11 years old

Step-by-step explanation:

(a)

We know that x is the youngest child's age. Since the sisters' ages are consecutive odd integers, we know that the ages differ by 2. So, the middle sister's age is x + 2 and the oldest sister's age is x + 4.

Our equation to model the sentence "the sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age" would be:

x + 3 * (x + 4) = 5 * (x + 2) - 5

x + 3(x + 4) = 5(x + 2) - 5

(b)

Now, we can just solve the equation above:

x + 3(x + 4) = 5(x + 2) - 5

x + 3x + 12 = 5x + 10 - 5

4x + 12 = 5x + 5

x = 12 - 5 = 7

So, the youngest sister is 7 years old.

That means the middle sister is 7 + 2 = 9 years old, and the oldest sister is 9 + 2 = 11 years old.

The ages, then, are:

youngest: 7 years old

middle: 9 years old

oldest: 11 years old

7 0
3 years ago
(10pts) Ivan bought three games and paid $65 for all three. The second game was 50% more expensive than the first one. The price
lutik1710 [3]

We are required to find the price of the first game

The price of the first game is $20

Given:

let

price of the first game = x

price of the second game = x + 50% of x

= x + 0.5x

= 1.5x

Price of the third game = 50% of 1.5x

= 0.5 × 1.5x

= 0.75x

Total cost of game = $65

<em>Total cost of game = price of the first game + price of the second game + Price of the third game</em>

65 = x + 1.5x + 0.75x

65 = 3.25x

divide both sides by 3.25

x = 65 ÷ 3.25

x = 20

Therefore, the price of the first game is $20

Read more:

brainly.com/question/291220

3 0
3 years ago
What is the sign of A +B?
lesya [120]

Answer:

The answer is AB

Step-by-step explanation:

As A+B=AB

6 0
3 years ago
Find the slope of the line that goes through the given points<br> (-2,5), (6,5)
kicyunya [14]

Answer:

0

Step-by-step explanation:

slope = y2 - y1 / x2 - x1

(-2,5) (6,5)

5-5/-2-6

0 / -8

slope is 0

4 0
3 years ago
loris book has 6 times more pages than sals book. the combined number of pages for the two books is 532. how many pages loris bo
julia-pushkina [17]
Your equation would be x+6x=532. You would add the "x's" together to get 7x=532. You would then divide each side by 7 resulting in x=76. This means Sal's book has 76 pages. To get Lori's book, you just times Sam's by 6 (76×6) which is 456. Lori's book has 456 pages.
6 0
4 years ago
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