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Brut [27]
3 years ago
6

4(x - 1) =2(x + 2) 10. 8

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0

Answer:

9.4

Step-by-step explanation:

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the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age
Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = \frac{x}{2}

2 years more than half of April's age = \frac{x}{2}+2

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$\Rightarrow \ \ x+(\frac{x}{2}+2) =23

$\Rightarrow \ \ x+\frac{x}{2}+2 =23

$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23

$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23

Denominators are same, now add the fractions.

$\Rightarrow \ \ \frac{2x+x+4}{2} =23

Do cross multiplication.

$\Rightarrow \ \ 2x+x+4=23\times2

$\Rightarrow \ \ 3x=46-4

$\Rightarrow \ \ 3x=42

$\Rightarrow \ \ x=14

Aprils's age = 14 years

Laura's age = \frac{14}{2}+2

                    = 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0
3 years ago
The medians of triangle XYZ intersect at Point P. If PY=12, what is VY?
AlekseyPX

Answer:

18

Step-by-step explanation:

PY = \frac{2}{3} YV

\frac{2}{3} YV = 12

VY = 18

3 0
3 years ago
Will mark brainliest!! Please answer ASAP
rusak2 [61]

Answer:

y=5

Step-by-step explanation:

y= 5 is always parallel to x axis

8 0
3 years ago
Write an inequality (you must be older than 13 to play basketball league
marshall27 [118]
13+x=x because 13 plus x will be a good number so you can be able to join the basketball league
4 0
3 years ago
Read 2 more answers
Find the area of the triangle. A drawing of a triangle with base of 18 inches and height of 7 inches. The area is square inches.
Citrus2011 [14]

Answer:

63

Step-by-step explanation:

First we multiply :)

18 x 7 = 126

Now we divide :)

126/2 = 63

Therefore your answer will be 63. :)

Have an amazing day!!

Please rate and mark brainliest!!

3 0
2 years ago
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