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3 years ago

Hi please i need the complete step-by-step solution for number 5. thank you ♥️

Mathematics

1 answer:

stepladder [879]3 years ago

4 0

Answer:

m = 8.

Step-by-step explanation:

Arithmetic mean 18 = (12 + 3m)/2

Cross multiply:

12 + 3m = 36

3m = 36 - 12 = 24

m = 24/3 = 8.

Check this answer:

(3(8) + 12)/2

= (24 + 12)/2

= 36/2

= 18.

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What are the first five terms of the sequence an= n +8?

vladimir2022 [97]

Answer:

9, 10, 11, 12, and 13

Step-by-step explanation:

The first term is determined when n=1, therefore a(1)=1+8=9

The second term is determined when n=2, therefore a(2)=2+8=10

The third term is determined when n=3, therefore a(3)=3+8=11

The fourth term is determined when n=4, therefore a(4)=4+8=12

The fifth term is determined when n=5, therefore a(5)=5+8=13

8 0

3 years ago

Evaluate the following expressions using the order of operations

Ahat [919]

7*8-4(6-2)+18
56-4(4)+18
56-16+18
40+18
58

6^2-(8*3)+2^2(7*3)
36-24+4(21)
12+84
96

7 0

4 years ago

How would I solve this problem?

AlladinOne [14]

Mr.Avila's classroom would be bigger because 1/6 is bigger than 1/8.

5 0

3 years ago

Find the following equation

adoni [48]

Answer:

$y=\frac{-1}{2}x+7$

Step-by-step explanation:

Slope intercept form: $y=mx+b$ when $m$ is the slope of the line and $b$ is the y-intercept (the y-coordinate of the point the line crosses the y-axis)

1) Find the slope ( $m$ )

$m=\frac{y_2-y_1}{x_2-x_1}$ when the points are $(x_1,y_1)$ and $(x_2,y_2)$

We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):

$m=\frac{0-7}{14-0}\\m=\frac{-7}{14}$

Simplify the fraction

$m=\frac{-1}{2}$

So far, our equation looks like this:

$y=\frac{-1}{2}x+b$

2) Find the y-intercept ( $b$ )

The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.

Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore, $b=7$ .

Now, this is our final equation after plugging in $m$ and $b$ :

$y=\frac{-1}{2}x+7$

I hope this helps!

3 0

3 years ago

Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.04liters. Then, he wants to fil

kipiarov [429]

Thats 35 litters because
0.04*50 is 2
2+33 is 35

8 0

3 years ago

Read 2 more answers

Hi please i need the complete step-by-step solution for number 5. thank you ♥️​

Hi please i need the complete step-by-step solution for number 5. thank you ♥️