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4 years ago

Which of the following equations is equivalent to 2(a + 6) – 3(a – 5) = 18?

Mathematics

2 answers:

meriva4 years ago

5 0

Answer: c

use distributive property:
2(a+6)-3(a-5)+15=18
2a+12-3a+15=18

combine like terms:
2a+12-3a+15=18
-a+27=18

defon4 years ago

4 0

Answer:

$\fbox{Option C}$

Step-by-step explanation:

Let me know if you want the full explanation. Have a great weekend! ❤

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At a family reunion, Lauren met up with 2 of her cousins; Kali and Allison. She realized that there were 3 generations of cousin

Andrew [12]

Answer:

The age of three girls as

The age of Allison's is 8 years

The age of Kali is 48 years

The age of Lauren's is 24 years

Step-by-step explanation:

Let The age of Allison's = A years

The age of Lauren's = L years

The age of Kali's = K years

Now, According to question

The sum of total ages of the three girl's = 80 years

I.e A + L + K = 80 years

And ,

The age of Allison's = $\frac{1}{3}$ of The age of Lauren's

I.e A = $\frac{1}{3}$ × L

And ,

The age of Kali's = 2 times The age of Lauren's

I.e K = 2 × L

∴ $\frac{1}{3}$ × L + L + 2 × L = 80

Or, $\frac{1}{3}$ L + 3 L = 80

Or, $\frac{10}{3}$ L = 80

So, 10 L = 3 × 80

∴ L = $\frac{240}{10}$

I.e L = 24

The age of Lauren's = 24 years

Again ,

K = 2 × L

Or, k = 2 × 24

∴ k = 48

The age of Kali = 48 years

Similarly

A = $\frac{1}{3}$ × L

Or, A = $\frac{1}{3}$ × 24

∴ A = 8 years

The age of Allison's = 8 years

Hence The age of three girls as

The age of Allison's is 8 years

The age of Kali is 48 years

The age of Lauren's is 24 years Answer

6 0

4 years ago

Which function has an inverse that is also a function?

Rama09 [41]

The function that has an inverse that is also a function will have no repeated y-values. The appropriate choice is the third one.
{(-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}

3 0

3 years ago

Read 2 more answers

Gwen used 3 identical stones to form a path that was 7.71 meters long. How long was each of the stones?

gavmur [86]

Each stone was 2.57 meters long.

You do 7.71/3 to get your answer.

5 0

3 years ago

Magda saw a triangular sign with a base of 4 feet and a height of 2.8 feet. She reasoned that if she first divided each dimensio

motikmotik

Answer: She is not correct, because she must multiply the base and the height of the triangle and then divide by 2.

Step-by-step explanation:

1. The formula for calculate the area of a triangle is shown below:

$A=\frac{b*h}{2}$

Where $b$ is the base and $h$ is the height.

2. Then, if she applied the method she reasoned, she'd obtain the following area:

$b=\frac{4ft}{2}=2ft\\h=\frac{2.8ft}{2}=1.4ft\\A=2ft*1.4ft\\A=2.8ft^{2}$

3. But actually, Magda should multiply the base and the height of the triangle and then divide by 2. Then, the correct area is:

$A=\frac{4ft*2.8ft}{2}=5.6ft^{2}$

8 0

4 years ago

Read 2 more answers

9n - 16 -1 + 3n Pls help

Jlenok [28]

Answer:

17/12

Step-by-step explanation:

12n-17=0

12n=17

n=17/12

6 0

3 years ago