11 2 3 4
-3 -2 -N
-1
-2
The equation of this line is
y = -x - 1. Which of the
following shows a way that
we could change the
equation to make the
line steeper?
N
A. y = -x + 5
B. y = -4x - 1
C. y = -x - 3
1 1 2 3 4 -3 -2 -N -1 -2 - 1

Answers

Answer 1
Answer: The answer should be B.

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Austin plays both forward and goalie on the school soccer team. He has played forward in 4 games for every 3 games he has been the goalie this season. Pick the diagram that models the ratio in the story. If Austin has played forward in 8 games, in how many games has he been the goalie?

Answers

Answer:

Austin has been the goalie in 6 games.

Step-by-step explanation:

The diagram that models the ratio in the story is a fraction diagram.

Let's represent Austin playing forward as F and Austin being the goalie as G.

According to the story, Austin has played forward in 4 games for every 3 games he has been the goalie. This can be represented as the fraction 4/3.

Now, we know that Austin has played forward in 8 games.

To find out how many games he has been the goalie, we can set up a proportion using the ratio from the story:

4/3 = 8/x

To solve for x, we can cross-multiply:

4x = 3 * 8

4x = 24

Dividing both sides of the equation by 4, we get:

x = 6

Therefore, Austin has been the goalie in 6 games

Emanuel read 150 pages in 5 hours. how many pages would he read in 4 1/2 hours?

Answers

there is 10 half an hours in 5 hours

in 4 1/2 there are 9 

so 150/10=15

15x9=135

From\ proportion:\n\n5\ \ \ -\ \ \ 150\n4(1)/(2)\ \ -\ \ \ x\n\n5x=(9)/(2)\cdot150\n5x=675\ \ \ \ |:5\nx=135\n\nEmanuel\ would\ read\ 135\ pages.

What is the answer to this ‘???

Answers

A

Because trying to move the 14x and 23 to each side with just cancel themselves out and youll get 0=0

If 20% of a number is 8, what is 25% of the number?

Answers

20%*x = 8

20% = 2/10

2/10*x = 8      |(*10/2)

2/10*10/2*x= 8 * 10/2                    2/10*10/2 =>1
1*x = 80/2
x=40

25% from 40 is 10
25% = 1/4
1/4 * 40 = 40/4 = 10

Answer:

Set up an equation as 0.2x = 8, which means 20 percent of x equals 8. Solve the equation by dividing each side by 0.2. Dividing 0.2 from each side results in x = 40. Eight is 20 percent of 40.

Step-by-step explanation:

Edwin and Anthony are building a rectangular deck in their backyard. The longer side is 2 ft more than 1/3 of the perimeter. The shorter side is 1/10 of the perimeter. They also know that the longer side is 9 ft longer than the shorter side. What is the perimeter of the deck?

Answers

Answer:

30 ft

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Perimeter = x

Length = 1/3x + 2

Width = 1/10x

Length = 9 + 1/10x

Perimeter of the deck = 2(length + width)

x = 2(1/3x + 2 + 1/10x)

x = 2(10x+3x/30 + 2)

x = 2(13/30x + 2)

x = 26/30x + 4

x - 26/30x = 4

30x-26x/30 = 4

4/30x = 4

Divide both sides by 4/30

x = 4 ÷ 4/30

= 4 × 30/4

x = 30 ft

Length = 1/3x + 2

= 1/3(30) + 2

= 30/3 + 2

= 10 + 2

= 12 ft

Width = 1/10x

= 1/10(30)

= 30/10

= 3 ft

Length = 9 + 1/10x

= 9 + 1/10(30)

= 9 + 30/10

= 9 + 3

= 12 ft

The perimeter of the deck = x = 30 ft

3x+2 = 6x-13 what is x

Answers

Step-by-step explanation:

3x + 2 = 6x - 13

3x - 6x =  - 13 - 2

- 3x =  - 15

x =  (15)/(3)

x = 5

Answer:

x = 5

Step-by-step explanation:

Isolate x:

3x + 2 = 6x - 13

Subtract 3x from both sides:

2 = 3x - 13

Add 13 to both sides:

15 = 3x

Divide each side by 3:

5 = x