simplify - 8t + 3r - 7t - 9r

The required class widths are 3, 8, 13, 18, 23 and 28

Given the frequency distribution that summarizes employee years of service for Alpha Corporation as shown below:

[tex]1-5 \ | \ 6-10\ | 11-15 \ | \ 16-20 \ | 21-25 \ | 26 - 30\ \\ 0\ \ \ \ \ \ \ \ 20 \ \ \ \ \ \ \ \ 25 \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ \ \ \ 5[/tex]

The width of each class is calculated by taking the midpoints of each of the class intervals as shown:

For the class interval 1  - 5

width  = 1+5/2 = 3

For the class interval 1  - 5

width  = 6+10/2 = 8

For the class interval 11  - 15

width  = 11+15/2 = 13

For the class interval 16  - 20

width  = 16+20/2 = 18

For the class interval 21  - 25

width  = 21+25/2 = 23

For the class interval 26  - 30

width  = 26+30/2 = 28

Hence the required class widths are 3, 8, 13, 18, 23 and 28

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Answer:

7%

Step-by-step explanation:

5 years= $1,400

1 year= 1,400/5= 280

$280 is ?% of $4,000

(280/4000)*100

so, 7%

Hope this helps!

Answer:

the answer to your question is 45 over 6

Answer:

45/6 or simplified 15/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, you have to use the law of cosines which is c² = a² + b² - 2abcosФ where Ф is the angle measure between sides a and b. So, just plug-in a = 10, b = 12, and Ф = 72 into the equation and you will get (I won't show all the calculations):

c = 13.0321

Then plug that into the area formula to get:

(0.5)(10)(12)(0.225496911)

Which is about:

13.53

Answer:

15+10=5(3+2)

Step-by-step explanation:

Answer:

Statement 1 best explains why the sum of the areas of the two white squares in fig 2 is the same as the area of the white square in fig 1.

Step-by-step explanation:

Statement 1:

In each figure the total area is equal and the area of 4 triangles is equal, so the remaining white area must also be equal.

Explanation:

Total area of each square = ab*ab

Fig 1 has 4 triangle each with area = ab/2

Total area of non-white part in fig 1 = 4*(ab/2) = 2*ab

Fig 2 has 2 non-white rectangles each with area = a*b

Total area of non-white rectangles in fig 2 = 2*ab

As non-white area of fig 1 = non-white area of fig 2

The remaining white area must also be equal.

Answer:

Step-by-step explain

i did not do the 1 and 2 srry

Answer:

Step-by-step explanation:

Asked:  How many square tables are needed to place 100 pupils?

Given: Square table each has 4 pupils to sit

operation :  Multiplication, subtraction,  Division

Solve:

Number of pupils in 9 rectangular tables = 9*8 = 72 pupils

Remaining pupils = 100 - 72 = 28

Number of square table needed =28 ÷ 4 = 7

7 square tables are needed.

Answer:

Step-by-step explanation: I think it is three percent

Answer: 15%

i attached a picture below with an explanation

Answer:

  (b)  congruent segments

Step-by-step explanation:

One copies the length of a segment to make congruent segments. This is done by setting the compass radius to the length of the segment to be copied, then marking the segment length on another line using a given point as a center.

_____

Additional comment

The appearance here is that the segments are not actually congruent, so apparently a mistake has been made in the construction. No angles are shown, and there aren't enough points or arcs shown to support a conclusion that some other construction is being attempted.

Answer:

1/3 + 1/12 = 5/12

Step-by-step explanation:

Take a look on the picture

There are the solutions

to get the correct answer

Hope it helps

#LetsStudy

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​ is 5/12.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The  product of 3/5 and 5/9 is,

Product = 3/5 × 5/9

= (3×5)/(5×9)

= 15 / 45

= 1/3

The  product of 5/9 and 3/20 is,

Product = 5/9 × 3/20

= (5×3)/(9×20)

= 15 / 180

= 1/12

Now, the sum of the two products can be done as shown below,

Sum = 1/3 + 1/12

       = 4/12 + 1/12

       = (4+1)/12

       = 5/12

Hence, the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​ is 5/12.

Learn more about Multiplication here:

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Answer: Both B and C

B. It will probably be easier to weigh heavy slabs that are stacked together rather than pulling out some slabs from different stacks.

C. Each stack has a variety of slabs, so choosing all of the slabs in some of the stacks should represent the population fairly well.

Step-by-step explanation:

B. By weighing entire stacks, the manager would only need to retrieve, weigh, and return about 101010 units. By weighing fewer slabs per stack, there are many more steps in the process and it is more complicated to track where to return the weighed slabs.

C. If each stack reflects the variety in the population, then choosing the stacks as clusters is a good way to get a sample that looks like the population.

Answer: (5/12)m

Step-by-step explanation: hope this helps (～﹃～)~zZ

Answer:

5 years

Step-by-step explanation:

Answer:

Jason can travel 24 miles in 150 minutes.

Step-by-step explanation:

8= miles. 50&150= mins

8=50.

Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.

150÷50= 3.

So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.

3×8= 24

So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)

Hope this wasn't too confusing,

Hope this helps!

Answer:

C:$13. 16 nickles left

Step-by-step explanation:

i know i took this test to on time4learning

57.9 add 14 to the answer and you get your number

Answer: I believe that answer is D.

Step-by-step explanation:

-The angle below it is also 120 degrees.

-It definitely can’t be 35 or 60 degrees because the angle is bigger than a right angle.

Right angle-is 90 degrees exactly

Hope this helps!

Step-by-step explanation:

given,

MP = x - 8

PN = 3x - 9

MN = 21

we know,

according to segment addition postulate AB + BC = AC

now,

MP + PN = MN

→ x - 8 + 3x - 9 = 21

→ 4x - 17 = 21

→ 4x = 21 + 17

→ 4x = 38

→ x = 38/4 = 9

→ x = 9

therefore, value of x is 9.

hope this answer helps you dear! take care

Answer:

Step-by-step explanation:

Recall that distance = (rate)(time).  Here the rate is 30 mph and the time 3.5 hr.  The distance traveled is proportional to the time passing by.  The graph of the distance function is a straight line with slope equal to the "rate" named above:

d(x) = (30 mph)x

Since x (elapsed time) can't be negative in this situation, we write the domain as 0 ≤ x ≤ 3.5 hr.

Answer:

-8,-6,-3,7,9,10

Answer:

Decreasing Geometric Sequence

Step-by-step explanation:

A geometric sequence is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed value. Here, we can multiply by 1/3 each time to get the next number, and out sequence is decreasing, so we have a DGS

Let's divide terms

[tex]\\ \sf\longmapsto r=\dfrac{405}{1215}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\longmapsto r=\dfrac{135}{405}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\longmapsto r=\dfrac{45}{135}=\dfrac{1}{3}[/tex]

It's a decreasing Geometric sequence

Answer:

Well if you add up all 3 angles in a triangle you’d get 180 degrees as the answer.

So we can. Jus substitute.

For number 19 you can do this

57+x+x+87+50=180

Now combine like terms

194+2x=180

Now solve

x=-7

Now we can subsitute that into angle A

57+ (-7) which is 50

Measure of angle A is 50.

For number 19 it’s the same thing.

9x+14+16x-4+80=180

Now combine like terms

25x+90=180

Solve

25x= 90

x= 3.6

Now subsitue for A

3.6*9+4 which is 36.4

A is 36.4

Answer:

10x greater

Step-by-step explanation:

Two friends let’s say their names are

Molly                         Polly

130 points                  83 points

Molly‘s 3 in her 130 is is the tens place  

here a chart:     ones    Tens.        Hundreds.     thousands.  

                         1265      1265.         1265.              1265

now let’s go back to Molly and Polly. The 3 in 130 is one place above the 3 in 83 and this ,my friend, technically means it is only 10x greater

hope this helped :3

:3 byeeeeeeeeee

Answer:

The band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.

Step-by-step explanation:

i just did that question like 3 mins ago lol

Answer:

its 5

Step-by-step explanation:

I know this because you just need to find the opposite integer and then that make s a zero pair and then you get 5