Write an inequality that represents ten less than four times a number is more than 1000.

A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 7, 14, 21, 28, 35. Points are s

agasfer [191]

The ratio of the number of cups of strawberry juice to the number of cups of lemon-lime soda is 7 : 1 ⇒ 3rd answer

Step-by-step explanation:

In A graph:

Points are shown on ordered pairs (0 , 0) , (1 , 7) , (2 , 14) , (3 , 21) and (4 , 28) are connected by a line
The label on the x-axis is Lemon-Lime Soda in cups
The label on the y-axis is Strawberry Juice in cups

We need to find the ratio of the number of cups of strawberry juice to the number of cups of lemon-lime soda

∵ The points are connected by line

∵ The x-axis represents the number of cups of Lemon-Lime Soda

∵ The y-axis represents the number of cups of Strawberry Juice

∴ The ratio of the the number of cups of strawberry juice to the

number of cups of lemon-lime soda equal to the slope of the line

∵ The slope of the line $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

- You can calculate the slope of a line from any two points lie on it

∵ Points (1 , 7) and (2 , 14) lie on the line

∵ $x_{1}$ = 1 and $x_{2}$ = 2

∵ $y_{1}$ = 7 and $y_{2}$ = 14

∴ $m=\frac{14-7}{2-1}=\frac{7}{1}$

∵ The ratio of the number of cups of strawberry juice to the number

of cups of lemon-lime soda = m

∴ The ratio of the number of cups of strawberry juice to the number

of cups of lemon-lime soda = 7 : 1

The ratio of the number of cups of strawberry juice to the number of cups of lemon-lime soda is 7 : 1

Learn more:

You can learn more about the ratio in brainly.com/question/2707032

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7 0

4 years ago

Will mark you as brainliest for the correct answer!

Alexandra [31]

Answer:

mean= 5+10+15+20+25+30/6=20.82=21

fraction=2+9/24=11/24

3 0

3 years ago

A truck is carrying 5 cars weighing an average of 3,500 pounds each. What is the total weight in tons of the cars on the truck?

Shtirlitz [24]

Answer:

8.75 tons

Step-by-step explanation:

3500 pounds to tons is 1.75 so 1.75 tons x 5 cars= 8.75 tons.

3 0

3 years ago

Please help please please

Marina CMI [18]

Answer:

C. y = 2x + 8

Step-by-step explanation:

✔️First, find the slope of the line that goes through points (-2, 4) and (6, 20):

Slope (m) = ∆y/∆x = (20 - 4) / (6 - (-2))

Slope (m) = 16/8

m = 2

✔️Find the y-intercept (b):

To do this, substitute (x, y) = (6, 20) and m = 2 into y = mx + b

Thus:

20 = 2(6) + b

20 = 12 + b

20 - 12 = b

8 = b

b = 8

✔️Write the equation by substituting m = 2 and b = 8 into y = mx + b

Thus:

y = 2x + 8

8 0

3 years ago

Determine which of the following graphs is the graph of 8x + 9y - 72.

Fittoniya [83]

Step-by-step explanation:

To figure out your x-intercepts and y-intercepts you have to redo the equation and make it equal to zero.

Step 1: 8x + 9y - 72 = 0

Step 2: 8x + 9y = 72

Now you can figure out your intercepts! As long as you use the STANDARD FORM EQUATION which is Ax + By = C

Y-INTERCEPT (vertical line): ( $\frac{c}{b}$ , 0 )

X-INTERCEPT (horizontal line): ( 0 , $\frac{c}{a}$ )

Insert your numbers how it shows in the standard form equation and you should get something like this:

Y-INTERCEPT: ( $\frac{72}{9}$ , 0 )

Simplified Y-INTERCEPT: ( 8 , 0 )

X-INTERCEPT: ( 0 , $\frac{72}{8}$ )

Simplified X-INTERCEPT: ( 0 , 9 )

Insert that into your graph and you should be able to get your answer.

5 0

3 years ago