MATHEMATICS MIDDLE SCHOOL

You are making sets of pens and pencils to sell. You want each set to contain the same combination of pens and pencils. You have 28 pens and 80 pencils, and you want to use them all. What is the greatest number of these sets you can make

Answers

Answer 1

Answer:

Answer:

4 sets.

Step-by-step explanation:

We are asked to find the greatest number of sets you can make using 28 pens and 80 pencils.

To solve our given problem, we will find greatest common factor of 28 and 80.

Factors of 28: 1, 2, 4, 7, 14, 28.

Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.

We can see that the greatest common factor of 28 and 80 is 4, therefore, you can make at-most 4 sets each having same number of pens and pencils.

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Tina buys 3 7/8 yards of material at the fabric store. She uses it to make a skirt. Afterward, she has 1 3/8 yards of the fabric leftover. How many yards of material did Tina use?

Urgent!! I will give brainiest to right answer

Answers

Answer:

1) option c

2) option d

3) option a

4) option a

5) option c

Step-by-step explanation:

1. Given that in ΔRST, ∠R=63°, ∠T=90° and so ∠S=27°

Also, cosec=hyotenuse/opposite side

Given RS=23 and ST=10.4

So, cosec27=RS/RT=23/RT

sec=hypotenuse/adjacent side

sec27=RS/ST=23/10.4

And cot=adjacent/opposite side

So, cot63=RT/ST=RT/10.4

2. formula:- sinθ=opposite side/hypotenuse

cosecθ=hypotenuse/opposite side

∴ sinθ *cosecθ = (opposite side/hypotenuse) * (hypotenuse/opposite side) = 1

3. Formula :- tan(360-θ) = -tanθ

∴ tan(300) = tan(360-60) = -tan30°

tan30° = √3

∴tan300° = -√3

5. sinθ= opposite side/hypotenuse

cosecθ = hypotenuse/opposite side

∴ cosecθ = 1/sinθ

Given sinθ = 0.3090

∴ cosecθ = 1/0.3090 = 3.2362

Your boss hands you the monthly data that show the number of orders coming in to and out of the warehouse. The data are in the table below. Explain to your boss, in complete sentences, the solution to this system and what the solution represents.Month No. of orders in No. of orders out
January (1) 2 3
February (2) 4 4
March (3) 6 5
April (4) 8 6

Answers

every month the number of orders in goes up by 2 and the number of orders out goes up by 1 so that means they are taking in more orders than they are sending out.

What are the multiples of 12,7,5,18,14,8?? Please explain !!!

Answers

The first 15 multiples of 5, 7, 8, 12, 14, 18:

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180
Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270

The multiples:
12: 12,24,36,48,60,72,84,96,108,120,132,144,156,168,180,192,204,216,228
7: 7,14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126,133,140,147
5: 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100,105,110
18: 18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288,306,324
14: 14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238,252
8: 8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160

Hope this helps! :-)

Is 2/3 greater than 7/8

Answers

For this question you should know:
7/8 is equal to 21/24
and
2/3 is equal to 16/24
so now you can see that 21/24 is greater than 16/24 so 7/8 is greater than 2/3 :)))
I hope this is helpful
have a nice day

Yes, 2/3 is greater than 7/8, because if you cross multiply 2x8=16 and then 3x7=21. The 2/3 is the 21 and the 7/8 is the 16

Evaluate b^2 c ^-1 for b = 8 and c = -4
a)-16
b)1/16
c)256