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Nikitich [7]
2 years ago
7

A number is divided into two parts, such that one part is 10 more than the other. If the two parts are in the ratio 5:3, find th

e number and the two parts.
Mathematics
1 answer:
Triss [41]2 years ago
4 0

Answer:

25 and 15  

Step-by-step explanation:

Since we were given two parts to be in ratio 5:3

the first number is then 5x , and second number 3x

Note that the second number is more than the first so it becomes

3x + 10

5x = 3x +10,     5x - 3x = 10

2x = 10,     x = 5

from the question,  we find the two parts ;

the first number would be 5x

5 x 5 = 25

and second number, 3x = 3x 5 = 15

so the two numbers are  25 and 15..    25 + 15 = 40

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How many times does 20 go into 110
Sindrei [870]

Answer:

20 goes into 110 five-and-a-half times

Step-by-step explanation:

Let's show our work:

20  +  20  +  20   +  20  +    20   +  10      

  \____\_____\____/_____/_____/

                           100

100

= 20 + 20 + 20 + 20 + 20 + 10

Half of 20 = 10

The keyword is half - so that leaves a 0.5 in your answer to "How many times does 20 go into 110."

How many 20's are there? Let's count!

20 + 20 + 20 + 20 + 20

 1      2       3      4       5

So five 20's + one 0.5 = ?

That equals 5.5, because 5 + 0.5 = 5.5

Your answer is 5.5!

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>
6 0
3 years ago
A pair of snow boots at an equipment store in Big Bear that originally cost $80 is on sale for $56. What is the rate of discount
8_murik_8 [283]

Divide the sale price by the original price:

56 / 89 = 0.7

Multiply by 100:

0.7 x 100 = 70%

The sale price is 70% of the original price, so the discount would be 30% (100-70= 30)

4 0
3 years ago
The following set of linear equations 2x+2y=18 x+3y=17
NemiM [27]

Answer:

x = 5

y = 4

Step-by-step explanation:

1. 2x + 2y = 18

2. x + 3y = 17

Multiply the first equation by 1 and the second equation by 2 to eliminate x

We have

2x + 2y = 18

2x + 6y = 34

Subtract equation 2 from equation 1

-4y = -16

Divide both sides by -4 to isolate y

-4y/-4 = -16/-4

y = 4

Now substitute 4 for y in either equation to get x. Using equation 2 we have

x + 3y = 17

x + 3 x 4 = 17

x + 12 = 17

Subtract 12 from both sides

x + 12 - 12 = 17 - 12

x = 5

x = 5 and

y = 4

8 0
2 years ago
2. Find the rate of change shown in the table ​
seraphim [82]

Answer:

-6x is the slope

Step-by-step explanation:

1,-3

2,-9

-9+3 is -6

2-1 is 1

-6/1 is -6

7 0
2 years ago
A) Simplify the expression and explain each step
Arte-miy333 [17]
4x3x = 12x
4x2 = 8
So 12x+8-2

3 0
3 years ago
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