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stealth61 [152]
2 years ago
6

PLEase Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
mylen [45]2 years ago
6 0

Answer: 56

Step-by-step explanation: Divide 42 by 3 and then multiply by 4

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A company is holding a sales contest for its sales reps. 12 sales reps are based in Office A and 7 sales reps are based in Offic
NikAS [45]

Answer:

55,440 ways

Step-by-step explanation:

In this situation, since the bonuses are different, the order of the sales reps receiveing the bonus matters, thus permutations should be used.

The number of ways to pay the bonuses in office A (pick 3 out of 12) is:

A=\frac{12!}{(12-3)!} =12*11*10 = 1,320\ ways

The number of ways to pay the bonuses in office B (pick 2 out of 7) is:

B=\frac{7!}{(7-2)!} =7*6 =42\ ways

Considering both offices, the number of ways to pay out the bonuses is:

N= A*B = 1320*42\\N=55,440\ ways

3 0
3 years ago
What is the distance between (-4,8) and (12,8) on a coordinate plane?
bazaltina [42]

Answer:

16

Step-by-step explanation:

7 0
3 years ago
A new field has a perimeter of 220 m and a width of 62 m. A bag of canola seed will cover 185 m2 of ground. How many bags of can
siniylev [52]

Answer:

17

Step-by-step explanation:

Assuming the field is a rectangle, the perimeter is found through the equation:

P = 2l + 2w

Since we know the perimeter and width, we can substitute and solve for the length.

(220) = 2l + 2(62)\\220 = 2l + 124\\96 = 2l\\l = 48\\

Using the length and width, we can find the area.

A = lw\\A = (48)(62)\\A = 2976

The area is 2976 squared meters. We divide by the area a bag of canola seed can cover and round up if necessary to find the total number of bags.

n = 2976 / 185\\n = 16.09

Because we need a whole bag in order to cover for the decimal area, we round up to 17 bags.

7 0
2 years ago
Circle A has been enlarged to create circle A'. The table below shows the circumference of both circles.
stich3 [128]

Answer:

Option (2) 1.5

Step-by-step explanation:

Rule for the dilation of an image by a scale factor is,

Scale factor = \frac{\text{Radius of image circle A'}}{\text{Radius of pre-image A}}=\frac{r'}{r}

                    = \frac{(2\pi) r'}{(2\pi) r}

                    = \frac{\text{Circumference of image}}{\text{Circumference of pre-image}}

                    = \frac{10.5}{7}

                    = 1.5

Therefore, scale factor was used to create a circle A' = 1.5

Option (2) will be the correct option.

8 0
3 years ago
What is 5 multiplied by 3 1/3
maksim [4K]

Answer:

16 2/3 or 16.66 repeating

6 0
2 years ago
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