6. The graph shows the number of soda bottles a machine can make over time. Use the two points (2, 50) (6, 150) shown to find the number of soda bottles the machine can make
per minute.


Answer:

The correct answer to a is 3 1/2 same answer for the other answer.

Answer:

a. 7/2  OR  3 1/2     Either answer should be acceptable

b. 82/15   OR  5 7/15   Either answer should be acceptable

Step-by-step explanation:

a. 5 3/4 =  so first multiply the denominator, 4, by the whole number 5 so 4 x 5 is equal to 20. Add this to your numerator, 3.

20 + 3 = 23 so the new fraction is 23/4

Same thing with 2 1/4     4 x 2 = 8 + 1 = 9    9/4

23/4 - 9/4 = 14/4 simplify this to 7/2

b. Same process here:

7 2/3      3 x 7 = 21 + 2 = 23      23/3

2 1/5       5 x 2 = 10 + 1 = 11        11/5

This time, we need a common denominator

3 x 5 = 15

5 x 3 = 15

23/3 x 5/5 = 115/15

11/5 x 3 = 33/15

115/15 - 33/15 = 82/15

Answer:

-2x-1/2+6y+

Step-by-step explanation:

Answer:

x > 12

Step-by-step explanation:

since it is an open circle on 12 shading to the right we know it will be a greater than symbol on 12 so x > 12

Answer:

x>12

Step-by-step explanation:

It is an open circle so it does not include 12 and all values are greater than 12.

Answer:

x=-7

Step-by-step explanation:

7x2-x=7

7x2=14.

14-x=7

When you finished the last step, you will subtract 14 to both sides.

14-x=7

14-14-x=7-14

this will cancel out the 14 on the left.

And will leave you with:

-x=7-14

7-14 is -7.

and this will get you to

-x=-7

To finish this off, you have to turn the negative x/variable, into a positive x/variable.

So, you will divide both sides of the equation by the same term.

-x = -7

into

[tex]\frac{-x}{1} =\frac{-7}{1}[/tex]

and it will be -7.

I hope this helps      :)

Answer:

Step-by-step explanation:

since ∠PRS is supplemental with  ∠VUW  , that is the two angles add up to 180 degrees,  you know that TV  is  parallel with QS  

then the order of the answer from top to bottom are

1

2

5

6

4

3

Answer:

43.5625 kilometers

Step-by-step explanation:

hi!

To solve this problem, you have to take note of the important information which is:

- 10.25 km/hour

- 4.25 hours

- how far did she travel?

To answer the question, you need to take Mia's hourly rate (10.25 km PER hour) and multiply that by how many hours she rode her bike for (4.25) which equals 43.5625 kilometers

10.25*4.25 = 43.5625 kilometers

I hope this helped :)

Using compound interest, it is found that Freddie will have £7433 in his account in 8 years.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

For the first two years, the parameters are given as follows:

P = 6600, r = 0.03, n = 1, t = 2.

Hence the amount is:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(2) = 6600\left(1 + 0.03)^{2}[/tex]

A(2) = 7002.

For the final 6 years, the parameters are:

P = 7002, r = 0.01, n = 1, t = 6.

Hence the amount after 8 years is:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(6) = 7002\left(1 + 0.01)^{6}[/tex]

A(6) = 7433.

Freddie will have £7433 in his account in 8 years.

More can be learned about compound interest at https://brainly.com/question/25781328

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The amount of water in the tank represented by the equation as:

y = 2m + 6, where y is the total amount of water in the tank, m is the number of minutes.

A linear equation is defined as an equation in which the highest power of the variable is always one.

Let y represent the total amount of water in the tank and m represent the number of minutes.

We can model the amount of water in the tank using the equation:

y = 2m + 6

This equation states that the total amount of water in the tank (y) is equal to the rate of filling (2 gallons per minute) multiplied by the number of minutes (m), plus the initial amount of water in the tank (6 gallons).

For example, if we let m = 5, then y = 2 × 5 + 6 = 16, which means that after 5 minutes, the tank will contain 16 gallons of water.

Learn more about the Linear equations here:

https://brainly.com/question/13738061

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Answer:

√{2563×2563}=√2563²=±2563

Answer:

if 2 candies cost $5;

then 1 candy will cost $2.5

therefore, the ratio is 1:2

Answer:

d

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent, then

2x = 6 ( divide both sides by 2 )

x = 3

and

3y = 6 ( divide both sides by 3 )

y = 2

Thus x = 3 and y = 2 → d

Answer: 88.8 m , 59.2 m

Step-by-step explanation:

Given

Breadth is [tex]\frac{2}{3}[/tex] of length

Suppose length is x m

So, breadth is   [tex]\dfrac{2}{3}x[/tex]

Perimeter is given by [tex]P=2(L+W)[/tex]

Putting values

[tex]\Rightarrow 296=2(x+\dfrac{2}{3}x)\\\\\Rightarrow 296=2(\dfrac{5}{3}x)\\\\\Rightarrow x=\dfrac{296\times 3}{10}=88.8\ m[/tex]

Length L is [tex]88.8\ m[/tex]

width W is [tex]\frac{2}{3}x=59.2\ m[/tex]

Answer:41

Step-by-step explanation:

Answer:

$3.40

Step-by-step explanation:

4x.40 is 1.60

2x.90 is 1.80

Then you take 1.80+1.60 to get $3.40 Hope this helps!

Answer:

Step-by-step explanation:

A line passing through point (x₁, y₁) with the slope of m in point-slope form:

 y - y₁ = m(x - x₁)

m = ¹/₃

(-6, 9)      x₁ = -6,  y₁ = 9

So:

y - 9 = ¹/₃(x - (-6))

y - 9 = ¹/₃(x + 6)     ←    point-slope form

y - 9 = ¹/₃x + 2        {add 9 to both sides}

y = ¹/₃x + 11        ←  slope intercept form

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: y is less than or equal to -1

How?

The graphs highest value it will ever reach, range wise, is -1. Therefore it isnt 0, or all real numbers.

The reason why it is -1 and not -2 is because the curve hits -1. Sure, -2 is included in the range, but y is less than or equal to -1 INCLUDES -2

:)

you just need to subtract the amount of yellow from the amout of green

amount of yellow paint -amout of green paint =amount of blue paint

Answer:

n=-5

Step-by-step explanation:

Do the equation backwards:

-26 - 4 = -30

-30 / 6 = -5

Check:

-5*6 = -30

-30+4 = -26

Hope this helps!

answer:

the answers are undefined and zero ( and in that order )

step-by-step explanation:

for question 12,

x = 10

since that equation is just a vertical line, the slope is undefined!

but for question 13

y = -5

the equation is just a horizontal line rather then a vertical line, the slope is zero ( since it is not moving )

i hope this helps you and if you need anymore help then please feel free to ask me! :)

Answer: 3/1

Step-by-step explanation:

A

If we were to take a cross-section of our planet on the equator, we would get a circle. So, the circumference of this circle is the distance one would have to travel to go around the earth. The formula for the circumference of the circle is 2 x r x pi. The radius of the Earth is r, and pi is approximately 3.1415. So, the circumference is 2 x 6370 x 3.1415, which equals 40 029 km, or approximately 40 thousand kilometers.

Answer: 12,740π. If you use pi as 22/7, you get 40040. If you use pi as 3.14, you get around 40004, so the circumference is basically around 40000

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{1}{a}-\frac{1}{b} =\frac{1*b}{a*b}-\frac{1*a}{b*a}\\\\=\frac{b}{ab}-\frac{a}{ab}\\\\=\frac{b-a}{ab}\\\\\\(\frac{1}{a}-\frac{1}{b})^{-1} = (\frac{b-a}{ab})*{-1}\\\\=\frac{ab}{b-a}[/tex]

Answer:

4 1/2

Step-by-step explanation:

Jeremy ate 3 slices. Then bill ate half of 3 slices of pizza which is 1 1/2. Add them up and you get 4 1/2.

Answer:

12x + 64y

Step-by-step explanation:

This is the distributed property. You need to apply it according to this question

Answer:

it is 4

Step-by-step explanation:

12 ÷ 3 = 4

3 x 4 = 12

4 x 3 = 12

Answer:

1/10x(5x-12)

Step-by-step explanation:

4/5x-3/10x(x+4)

factor the expression

1/10x(8x-3x-12)

collect like terms to get 1/10x(5x-12)