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Rzqust [24]
2 years ago
11

Point A is located at –24 and point C is located at 36 on the number line below. Which value would represent point B, halfway be

tween point A and point C?

Mathematics
2 answers:
Levart [38]2 years ago
6 0

Answer:

Point B will be 6

Step-by-step explanation:

We have point A= -24 and point B = 36, we want to know point B which is halfway between points A and C.

To find the middle between two points we have to add the two numbers and divide them by 2:

We would have:

(A+C)/2

We substitute the values of A and C:

B = (-24+36)/2

B = 12/2

B = 6.

We can also write this on a number line and get point B by counting how many numbers there are in between point A and C, and this result divides it by 2. This is in the attachment.

aniked [119]2 years ago
3 0
To find the midway point of 2 numbers, we find their sum and divide that by 2. For this, we add -24 and 36 ( which amounts to 12) and divide that by 2, meaning that midpoint B is 12/2=6
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Surveys indicate that 5% of the students who took the SATs had enrolled in an SAT prep course. 30% of the SAT prep students were
Nesterboy [21]

Answer: The probability he didn't take an SAT prep course = 0.985

Step-by-step explanation:

Let us first assume that he took SAT prep.

Surveys indicate that 5% of the students who took the SATs had enrolled in an SAT prep course. 30% of the SAT prep students were admitted to their first choice college. That is,

30/ 100 of 5 = 0.3 × 5 = 1.5

The probability he did take an SAT prep course and got admission into the college of first choice will be

P(prep) = 1.5 / 100 = 0.015

The probability he didn't take an SAT prep course will be:

P(not prep) = 1 - P(prep)

P(not prep) = 1 - 0.015

P(not prep) = 0.985

4 0
2 years ago
TV−→− bisects ∠RTS. If the m∠RTV=(16x−6)° and m∠VTS=(13x+9)° , what is the value of x and the m∠RTV ?
natta225 [31]

Answer:

x = 5

RTV = 74

Step-by-step explanation:

Given

RTV=16x - 6

VTS=13x+9

Required

Determine the values of x and RTV

Since, TV is a bisector, then

RTS = RTV + VTS --- (1)

and

RTV = VTS -- (2)

Substitute values of RTV and VTS in (2)

16x - 6 = 13x + 9

Collect Like Terms

16x - 13x = 9 + 6

3x = 15

Solve for x

x = 5

Substitute 5 for x in RTV=16x - 6

RTV = 16 * 5 - 6

RTV = 80 - 6

RTV = 74

8 0
2 years ago
Which of the following companies offers the greatest total employment compensation? Company A Company B Company C Company D Gros
san4es73 [151]

we know that

To find the company with the greatest total employee compensation package, adds each company's gross pay, paid insurance, and paid time off, then subtract the job expenses on the sum

So

Find the total employee compensation package for each company

Step 1

Find the total employee compensation package for company A

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=37,600+2,800+3,100-1,200\\ total\ employee\ compensation=42,300\ dollars

Step 2

Find the total employee compensation package for company B

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=36,800+2,400+3,600-600\\ total\ employee\ compensation=42,200\ dollars

Step 3

Find the total employee compensation package for company C

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=38,100+2,100+2,900-300\\ total\ employee\ compensation=42,800\ dollars

Step 4

Find the total employee compensation package for company D

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=39,000+1,800+2,500-800\\ total\ employee\ compensation=42,500\ dollars

therefore

the answer is

the company with the greatest total employee compensation package is the company C

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It is called a scale factor :)
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Selena’s snow cones stand sells Small snowcones for $2 dollars and large snow comes for $3.50 one summer day she sold $163 worth
grandymaker [24]
She sold 34 large ones and 22 small ones

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