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3 years ago

The graph shows the cost of buying beets at a farm stand.. (question continued on image)

Mathematics

1 answer:

Vinvika [58]3 years ago

4 0

Answer/Step-by-step explanation:

Part A:

The slope of the line showing proportional relationship can be found using any one point, (2, 5), on the line.

Slope = y/x = ⁵/2

Part B:

Abby is wrong. From the graph, we see that the unit rate = 5/2 = 2.5. This implies that beets cost $2.5 per pound.

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Katyanochek1 [597]

Its the third answer, how much gas he has after one hour

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2 years ago

A baker uses 2.327 kilograms of blueberries for muffins. There are four packages at the fruit market. Which amount is closest to

irinina [24]

Answer:

2.33 kg

Step-by-step explanation:

If the baker needs to use 2.327 kilograms of blueberries, we are going to subtract the amount of the packages to the amount he needs and we'll see which is the smallest number.

In the case of 2.3, 2.327 - 2.3 = .027

In the case of 2.42, 2.327 - 2.42 = -0.09

In the case of 2.33, 2.327 - 2.33 = -0.003

In the case of 2.4, 2.327 - 2.4 = -0.07

Therefore, the closest amount to 2.327 is the 2.33 package.

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3 years ago

Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel

icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

$(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}$

Line h passes through the following points:

$(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}$

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

$\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1$

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

8 0

3 years ago

Suppose an engineer has been instructed to create three new sky rides in the park. He has been given the length and the time eac

Tanya [424]

Answer:

Step-by-step expla

la respuesta esnation:

3 0

3 years ago

Volume of a cone = r²h,

inessss [21]

Answer:

7.5 m 457.5 $\pi$ $m^{2}$

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = $\frac{1}{3} \pi r^{2}h$ .

Original Cone = $\frac{1}{3} \pi r^{2}h$ = $\frac{1}{3} \pi *7.5^{2}*50$ = 937.5 $\pi$

Smaller Cone = $\frac{1}{3} \pi r^{2}h$ = $\frac{1}{3} \pi *6^{2}*40$ = 480 $\pi$

Frustum = 937.5 $\pi$ - 480 $\pi$ = 457.5 $\pi$

6 0

2 years ago

The graph shows the cost of buying beets at a farm stand.. (question continued on image)​

The graph shows the cost of buying beets at a farm stand.. (question continued on image)