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3 years ago

The graphs show the amount of sugar in two kinds of juice.

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

8 0

Answer:

Pat a) The unit rate of graph at left is $25\ \frac{grams}{cup}$

Part b) The unit rate of graph at right is $40\ \frac{grams}{cup}$

see the attached figure

Step-by-step explanation:

we know that

The unit rate of a linear equation is the same that the slope of the linear equation

step 1

Find the slope of the graph at left

This graph represent a proportional relationship (because the line passes through the origin)

The slope is equal to the constant of proportionality k

$k=\frac{y}{x}$

we have the point (1,25)

substitute the values in the formula

$k=\frac{25}{1}=25\ \frac{grams}{cup}$

step 2

Find the slope of the graph at right

we have the points (2,80) and (3,120)

This graph represent a proportional relationship (because the line passes through the origin)

The slope is equal to the constant of proportionality k

$k=\frac{y}{x}$

Is necessary only one point to determine the constant of proportionality

take the point (2,80)

substitute the values

$k=\frac{80}{2}=40\ \frac{grams}{cup}$

<u>Verify</u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points (2,80) and (3,120)

substitute the values

$m=\frac{120-80}{3-2}$

$m=\frac{140}{1}=40\ \frac{grams}{cup}$

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elena55 [62]

You would do 5 times 4 which is 20. then count how many zero's there are and put them after the 20.

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4 years ago

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DiKsa [7]

Answer:

Step-by-step explanation:

This explanation mostly depends on what you're learning right now. The first way would be to convert this matrix to a system of equations like this.

g + t + k = 90

g + 2t - k = 55

-g - t + 3k = 30

Then you solve using normal methods of substitution or elimination. It seems to me that elimination is the quickest method.

g + t + k = 90

-g - t + 3k = 30

____________

0 + 0 + 4k = 120

4k = 120

k = 30

No you can plug this into the first two equations

g + t + (30) = 90

g + t = 60

and

g + 2t - (30) = 55

g + 2t = 85

now use elimination again by multiplying the first equation by -1

g + 2t = 85

-g - t = -60

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0 + t = 25

t = 25

Now plug those both back into one of the equations. I'll just do the first one.

g + (25) + (30) = 90

g = 35

Therefore, we know that Ted spent the least amount of time on the computer.

The second method is using matrix reduction and getting the matrix in the row echelon form, therefore solving using the gauss jordan method. If you would like me to go through this instead, please leave a comment.

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3 years ago

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Elena-2011 [213]

Answer:

That looks hard but idk how to answer it

Step-by-step explanation:

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3 years ago

The area of a square is 49 square meters. How long is each side?

Artemon [7]

A square has 4 equal sides, which means when you need to work out the area, you're doing length × width, but the length and width are exactly the same, because it's a square (look at the picture if you don't understand this).

That means you just have to pick any side (let's call this side x), and multiply it by another side of the square. Now, because all of the sides are equal, you're doing x multiplied by x, which is the same as x².

Therefore, if the area is equal to x², and in this question, it's also equal to 49 (as stated in the question), we can equate them to each other:

x² = 49

Now to get the x by itself, we need to do the opposite of squaring, which is square rooting. Therefore, we square root both sides of the equation:

√x² = √49

The √ and the ² cancel out, so you're just left with x:

x = √49

The square root of 49 is just 7, so we can replace √49 with 7, and we get:

x = 7

Now remember, earlier, I called x the value of one side. Therefore, by remembering that, you know that the value of one side is equal to 7. And because all the sides are the same as each other, each side is equal to 7 metres.

Therefore, your final answer is 7 metres :)

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3 years ago

The area beyond ± 2 standard deviations contains approximately what % of the area under the normal curve?

irakobra [83]

A. 99%
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