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DochEvi [55]
3 years ago
11

what is the least number that must be added to 2000 so that the sum is divisible exactly 10,12,16and 18 ? do it step by step

Mathematics
1 answer:
Rudiy273 years ago
5 0

The integers divisible by any set of positive integers are the multiples of their LCM

let us first write the factored form of each

10 = 2×5

12 = 2×2×3

16 = 2×2×2×2

18 = 2 x3×3

Now we will find lcm of these numbers

LCM = 2×2×2×2×3×3×5 = 720

The multiples of 720 are divisible by 10,12,16 and 18.

2000/720 = 2.777777...

The least integer greater than that is 3, so 3×720 = 2160 is the least integer greater than 2000 that is divisible by 10,12,16 and 18.

so if we need to find what must be added to 2000 so that the sum is divisible by 10,12,16 and 18, we must subtract 2000 from 2160

2160-2000=160

so we must add 160 to 2000 so that the sum is divisible exactly 10,12,16and 18

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2 years ago
We are in school 9 months out of the year. What percent of the year are we in<br> school?
Igoryamba

There are 12 months in a year.

Divide 9 by 12 then multiply by 100 to get the percentage.


9/12 = 0.75 x 100 = 75%

Answer: 75%

6 0
2 years ago
Can someone help me with one more pls I’ll comment on yours
just olya [345]

Answer:

A:

The perimeter of the parking lot is 302 yards.

The area of the parking lot is 5,544 yards squared.

B: Perimeter

C: Area

Step-by-step explanation:

A:

To find the perimeter of the parking lot, we add all the sides up. 2L + 2W = Perimeter.

2(63) + 2 (88) = 302

To find the area, we multiply the length by the width. 63 × 88 = 5,544.

B: We need to know the amount of chain needed to surround the parking lot. In other words, we need to line the perimeter with a chain.

C: We would be paving the entire area of the parking lot.

Hope this helps,

❤Nicki❤

6 0
3 years ago
Find p(-4) and p(2) for the function p(x)=11x^5-11x^4-5x^2+15x-8
egoroff_w [7]

hi,

you must replace x by the number between parenthese.

I show you with the first one and let you do the second one

p(x) = 11x^5 -11x^4 - 5x^2 +15x-8

p(-4)  =   11 (-4)^5 - 11 (-4)^4 -5(-4)² +15(-4) -8

p(-4) =     11  ( -1024- 256) - 5*16 -60-8

p(-4) =   11 ( -1280) -80-60-8

p(-4)   =    - 14080 - 148

p(-4) =   - 14 228

7 0
2 years ago
Help please! What is the answer ?
kupik [55]

Answer:

x < -3 or x > 3

second answer choice

Step-by-step explanation:

 The symbol "∨" between p and q represents a disjunction and can be replaced with the word "or" to turn p ∨ q into p or q.

Plug in x < -3 in for p and x > 3 for q, and now you have:

x < -3 or x > 3

which is the same as the second answer choice.

So, the answer is x < -3 or x > 3, or the second answer choice.

I hope you find my answer helpful.

7 0
3 years ago
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