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Setler [38]
3 years ago
14

Does the data in each table represent a linear function? If so write the function rule.

Mathematics
1 answer:
melamori03 [73]3 years ago
8 0
What table? need a picture
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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
4 years ago
In her last basketball game, Casey scored 46 points. In the current game, she has scored 24 points so far. How many more two-poi
Nady [450]

Answer:

At least 11 two-point baskets

Step-by-step explanation:

In her last basketball game, Casey scored 46 points.

In the current game, she has scored 24 points so far.

Difference =46-24=22 points

If Casey wants her total score in her current game to be at least as great as her score in the last game, then she has to make at least

22\div 2=11

two-point baskets.

7 0
3 years ago
Sarah has 2 apples bob eats 1 how much does sarah have after bob ate one
atroni [7]

Answer:

sarah has 1 apple left

8 0
3 years ago
Find the measured of the numbered angles in the rectangle. Geometry Chapter 7.4
stira [4]

Answer:

∠3 = 18°

∠4 = 144°

∠2 = 36°

∠1 = 72°

Step-by-step explanation:

From the concept of alternate interior angles,

∠3 = 18°

Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.

Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;

∠4 = 180 - 2(∠3)

∠4 = 180 - 2(18)

∠4 = 180 - 36

∠4 = 144°

∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)

∠2 = 180 - 144

∠2 = 36°

Like it was done for angle ∠4 above;

∠1 = (180 - 36)/2

∠1 = 144/2

∠1 = 72°

8 0
3 years ago
Which is the following solution of the inequality?
anzhelika [568]

Answer:

a

Step-by-step explanation:

20-9=11

6 0
3 years ago
Read 2 more answers
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