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nataly862011 [7]
3 years ago
8

Divide $1200 in the ratio 5:3:2

Mathematics
1 answer:
lawyer [7]3 years ago
5 0

Answer:

Step-by-step explanation:

16

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The sum of 5 consecutive integers is 505. what is the third number in this sequence?
pantera1 [17]
<u>Answer</u>
 101

<u>Explanation</u>
Let the first term of the sequence to be a. 

1st term = a
2nd term = a+1
3rd term = a+2 
4th term = a+3
5th term =a+4

a+(a+1)+(a+2)+(a+3)+(a+4)=505
5a+10=505
5a=505-10
5a=495
a=99

3rd term = a+2
                =99+2
                = 101

8 0
3 years ago
Read 2 more answers
Which of the following numbers is less than 2/3? <br> F. -1/2<br> G. 1/3 <br> H. -7/8 <br> J. -1/6
stiks02 [169]

Answer:

All of them are.

Step-by-step explanation:

F. H. J. are all negative and G. is just smaller than 2/3

4 0
3 years ago
Read 2 more answers
(Adding and Subtracting Polynomials)
andrey2020 [161]

Adding and subtracting big polynomials like these are pretty easy. You just need to combine like terms. For example:

1.)

{5x}^{2}  +  {3x}^{2}  =  {8x}^{2}

2.)

({3x}^{2}  + 5xy) + (7xy + 2) =

{3x}^{2} + 12xy + 2

(The 3x^2 and the 2 stay intact while the 5xy and 7xy combine together)

All you have to do is combine the numbers that have the same powers of x and y with each other. x^2 will combine with x^2 and xy^2 wil combine with xy^2 exc. If there is no other number with the same x and y's, then you just leave it as it is in the answer.

Now with the original question, I see a -9xy^3, and thats gonna combine with the 3xy^3 in the second polynomial and the 2xy^3 in the third one.

- 9x {y}^{3}  + 3x {y}^{3}  + 2x {y}^{3} = \\  - 4x {y}^{3}

So far we have -4xy^3, the next term is going to be a -9x^4y^3, and that's gonna combine with the 3x^4y^3 in the third one.

- 9 {x}^{4} {y}^{3}  + 3 {x}^{4}  {y}^{3}  =  - 6{x}^{4}  {y}^{3}

We now finished adding the like terms that were in the first polynomial, we will move onto the second polynomial. The first term in this one is 3xy^3, in which we already added in the first step. At this point, it doesn't look like there are any other terms that have the same x and y behind them. So we can move on and write the final answer:

- 4x {y}^{3} - 6 {x}^{4} {y}^{3}  + 7 {y}^{4}  \\ - 8 {x}^{4} {y}^{4}

(All on the same line of course)

Also, for your second question, the order does not matter in which you write the terms. I could write the 7y^4 behind the -8x^4y^4 and it would still be the same answer.

If you have any other questions let me know :) while I double check my work.

6 0
4 years ago
What facts about angles can you use to find the unknown angle measures?
ElenaW [278]
The sum of all three angles will always be 180 degrees.

6 0
3 years ago
Use the cubes shown at the right to estimate the volume of the rectangular prism
MariettaO [177]
Where are the cubes???????.
7 0
3 years ago
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