Please show steps to:

6(g+3)=-12

Thank you!! <3

Answers

Answer 1

Answer: 6(g+3)=-12
6g+18=-12
6g=-30
g=-5
distribute the 6 with what's in the parentheses, subtract the 18 from -12 getting -30, divide 6 from -30

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track team ran various numbers of miles last week. To determine the number of miles Manuel ran, multiply the number of miles Ewan ran by 3 subtract 15, multiply the difference by 2, and divide this quantity by 5. To determine the number of miles Violet ran, subtract 14 from the number of miles Ewan ran, and then multiply the difference by 3. To determine the number of miles Ling ran, add 30 to the number of miles Ewan ran, and then divide the sum by 5. How many miles did each team member run last week if the total number of miles ran by Ewan and Manuel is equal to the total number of miles ran by Violet and Ling?
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In the school chorus, 2/12 of the students are fourth graders. In simplest form, what fraction of the students in the school chorus are fourth graders?

Answers

1/6 students in the school chorus are in fourth grade

2/12 simplified is 1/6. Because 2 goes into 2 once, and into 12 six times.

Slopes, y-intercepts, (& points)The membership to your local video store is $10 per year and the DVD rental rate is $3.95 per DVD. Right in equation that models the total amount of money you will spend on DVD rentals this year.

Answers

Answer:

y = 3.95(x) + 10

Step-by-step explanation:

The equation of the money spend will expressed as

Total number spend = 3.95 multiply number of DVD rented (x) + 10 membership

Thus equation is y = 3.95(x) + 10

Final answer:

A linear equation modeling the total cost of DVD rentals for a year, given a yearly membership fee and cost per DVD, is y = 3.95x + 10. This equation represents the cost structure, where 'y' is the total cost, 'x' is the number of DVDs rented, 3.95 is the cost per DVD and 10 is the annual membership fee.

Explanation:

This problem is an example of a linear equation, which describes a straight line on a graph. In this case, the line represents the total cost of renting DVDs for a year. The y-intercept represents the fixed part of your cost - the annual membership fee, and the slope represents the variable part of the cost - the price per DVD rental.

The equation that models this situation is y = 3.95x + 10. Here, 'y' represents the total cost, 'x' represents the number of DVDs you rent, 3.95 is the slope (or cost per DVD), and 10 is the y-intercept (or the cost of membership).

In this scenario, for each additional DVD you rent (increase in x), your total cost (y) increases by $3.95 which is the slope of the line. The line crosses the y-axis at $10, which is the fixed membership cost.

Learn more about Linear Equation here:

brainly.com/question/32634451

#SPJ2

The tables represent two linear functions in a system. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4. What is the solution to this system? (1, 0) (1, 6) (8, 26) (8, –22)

Answers

We want to solve a system of linear equations, we will get that the solution is (8, -22)

A system of equations is a group of equations that we must solve simultaneously.

Here we have two lines defined by tables:

line 1:

x y

-4 26

-2 18

0 10

2 2

line 2:

x y

-4 14

-2 8

0 2

2 -4

Remember that a line is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:

$a = (y_2 - y_1)/(x_2 - x_1)$

With this we can find the slope of the first line, using any pair of the given points, I will use (0, 10) and (2, 2)

$a = (2 - 10)/(2 - 0) = -4$

And we know that the line passes through (0, 10), then the y-intercept is equal to 10.

y = -4*x + 10

For line 2 we can use the points (0, 2) and (2, - 4), so we get:

$a = (-4 - 2)/(2 - 0) = -3$

And the y-intercept is y = 2, then the line is:

y = -3*x + 2

Now we must solve:

-4*x + 10 = -3*x + 2

10 - 2 = 4x - 3x

8 = x

Now we evaluate x = 8 in any of the two lines:

y = -3*8 + 2 = -22

Then the solution of the system is (8, -22)

If you want to learn more, you can read:

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Answer:

(8,-22)

Step-by-step explanation:

i just took the test and checked

How to solve 2+1/6a=-4

Answers

$2+ (1)/(6a) =-4\Leftrightarrow 6+(1)/(6a)=0\Rightarrow 36a=-1\Rightarrow a=-1/36$

$2+ (1)/(6)a=-4$

$(1)/(6)a=-6$

$1a=-6*6$

$a=-36$

Sum of (x+5) and (2x+3)

Answers

Answer:

3x+8

Step-by-step explanation:

First, we can write the sum into a mathematical expression:

The sum of (x+5) and (2x+3)

(x+5)+(2x+3)

However, we do not need the parenthesis. It is unnecesarry here as we are just adding the two parts:

x+5+2x+3

Using commutative property, we can rearrange the symbols so that the x's are with each other and the numbers are with each other:

x+2x+5+3

Now we can simplify the expression:

3x+8

Hope this helped :)

~ALGEBRA! PLEASE HELP!~Austin is climbing on a ladder that is attached against the side of a jungle gym wall. He is 5 feet off the ground and 3 feet horizontally from the base of the ladder, which is 15 feet from the wall. How high up the wall is the top of the ladder?
~Please show work :)

Answers

so I get it now!

so he is currently 5 feet vertically form the wall
he is currently 3 feet horizonatlly from the wall
the ladder's base is 15 total feet from the wall

height:base=5:3

to find the total height
x:15
multiply 5:3 by 5
25:15

so the top of the ladders's vertical height is 25 feet

so the answer is the ladder is 25 feet from the ground

Answer:23

Step-by-step explanation:ok

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