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4 years ago

How Many Pumpkins Did Kate Sell This Weekend

Mathematics

1 answer:

gtnhenbr [62]4 years ago

5 0

Answer:

60 pumpkins

Step-by-step explanation:

Saturday, she sold 6*7 pumpkins. That's 42 pumpkins.

Sunday, she sold 6*3 pumpkins. That's 18 pumpkins.

42+18=60

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A spinner with 3 sectors is shown in the figure below. The measures of the central angles of the red, white, and blue sectors, i

RideAnS [48]

Given that a spinner with 3 sectors. The measures of the central angles of the red, white, and blue sectors, in that order, are in the ratio 2:3:4.

So we can write:

Measure of the central angle of the red sector = 2x

Measure of the central angle of the white sector = 3x

Measure of the central angle of the blue sector = 4x

We know that sum of central angle of the circle is 360 degree so the sum of above three angles will also be 360 degree

2x+3x+4x=360

9x=360

x=40

Then measure of the central angle of the red sector = 2x=2*40= 80 degree

Measure of the central angle of the white sector = 3x=3*40=120 degree

Measure of the central angle of the blue sector = 4x=4*40=160 degree

We have to find the probability for red sector so first we need to find are of the red sector which is given by formula :

$Area = \frac{\pi r^2 \theta}{360}$ , where r is the radius of the spinner.

$Area = \frac{\pi r^2 *80}{360}$

$Area = \frac{2 \pi r^2}{9}$

Area of the spinner is circular so that is given by

Area of spinner $= \pi r^2$

Now the probability that the arrow stops in the red sector is given by ratio or area of red sector and the area of spinner

Probability $= \frac{\frac{2}{9}\pi r^2}{\pi r^2}$

Probability $= \frac{\frac{2}{9}}{1}$

Probability $= \frac{2}{9}$

Hence required probability is 2/9.

5 0

4 years ago

The amount of time it takes p people to paint d doors varies directly with the number of doors and inversely with the number of

yanalaym [24]

Answer:

4 people

Step-by-step explanation:

This problem is a compound rule of three problem. The variables are:

number of people, number of doors, amount of time

the amount of time increases if the number of doors decreases, but the amount of time decreases if the number of people increases.

We can solve this problem by parts (using two simple rule of three):

4 people can paint 10 doors in 2 hours

Let's first find how many people would take to paint 25 doors in 2 hours (we make the amount of hours constant, so the rule of three is between number of people and number of doors):

4 people -> 10 doors -> 2 hours

X people -> 25 doors -> 2 hours

4/X = 10/25

X = 25*4/10 = 100/10 = 10

It would take 10 people to paint 25 doors in 2 hours.

Now, we make a inverse rule of three between the number of people and amount of time:

10 people paint 25 doors in 2 hours, how many people paint 25 doors in 5 hours:

10 people -> 25 doors -> 2 hours

X people -> 25 doors -> 5 hours

10*2 = X*5

X = 20/5 = 4 people

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3 years ago

How do the arrows for +1 and -1 show both distance and direction?

Fofino [41]

By the way the arrow is pointing?

3 0

4 years ago

Describe a sequence of transformations that exhibits the similarity between the pair of figures shown.

Inga [223]

Answer:

Reflection across the x-axis followed by dilation by a scale factor of \frac{1}{4} with the center of dilation at the origin

Step-by-step explanation:

8 0

4 years ago

I need correct answer for this

dybincka [34]

Answer:

should be 82%

Step-by-step explanation:

Hope this helps!

6 0

3 years ago

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