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3 years ago

PLEASE HELP IS POSSIBLE :)

Mathematics

1 answer:

Arisa [49]3 years ago

3 0

Answer: 9 inches

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

What is the sum of the given polynomials in standard form?

Aneli [31]

Answer:

D. -x2 + 2x -3

Step-by-step explanation:

the first step is we open all the brackets then it will be :

x2 - 3x - 2x2 + 5x - 3

= x2 - 2x2 - 3x + 5x - 3

= -x2 + 2x -3

4 0

3 years ago

HELPPPPPPP PLZZZZ I DONT GET IT

expeople1 [14]

Answer:

See below

Step-by-step explanation:

$1) \: \frac{1}{2} \times 5 \times 6 = 15 \: {cm}^{2} \\ \\ 2) \: \frac{1}{2} \times 10 \times 6 = 30 \: {cm}^{2} \\ \\ 3) \: 5 \times 3 = 15 \: {cm}^{2} \\ \\ 4) \: 10 \times 6= 60\: {cm}^{2}$

7 0

2 years ago

Pls answer attached question

BartSMP [9]

Answer:

It's a horizontal line passing through 4 on the y-axis.

Simply place a ruler at 4 and draw a straight line from left to right, which passing through the number 4.

6 0

2 years ago

1. slope == 5, through (3, 13)

GuDViN [60]

I’m assuming you’re trying to find the equation of a line that intersects the point. In order to do this you need to plug in your points into the equation that at the moment just has your slope.

y=5x —> 13=5(3)+b —> 13=15+b —> 13-15=b

—> b=-2

Now that you finally found your b (y-intercept) you can just plug it in!

y=5x-2

8 0

3 years ago