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murzikaleks [220]
3 years ago
12

The sum of two numbers is 49 and the difference between these two numbers is 9. What are these two numbers?​Shown working out pl

ease
Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0

Let numbers be x and y

ATQ

  • x+y=49---(1)

  • x-y=9---(2)

Adding both

\\ \sf\longmapsto 2x=58

\\ \sf\longmapsto x=\dfrac{58}{2}

\\ \sf\longmapsto x=29

Now putting value in eq(2)

\\ \sf\longmapsto x-y=9

\\ \sf\longmapsto 29-9=y

\\ \sf\longmapsto y=20

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Aleonysh [2.5K]
You get the mean by finding the middle term if its an odd number if its an even number get the 2 middle numbers add thema nd divide them by 2 in this case the answer would be 9 

Hope this helps
6 0
3 years ago
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What is the combined length of all the buttons longer than 1 inch
muminat

Answer:

2\frac{1}{2}  inches

Step-by-step explanation:

The "x" represents the number of buttons.

There are 2 sizes longer than 1 inch:

1\frac{1}{8} in  and  1\frac{1}{4} in

There are NO 1  1/8 inch buttons

THere are two 1  1/4 inch buttons

Hence the combined length would be:

1\frac{1}{4}+1\frac{1}{4}=2\frac{2}{4}=2\frac{1}{2} inches

5 0
3 years ago
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13. Max charges $3.50 per hour when he mows lawns, plus $6.00 for transportation expenses. Which function rule represents the am
Ymorist [56]

Ok so you are charging $3.50 for every hour you work and on top of that you are charging $6.00 for the transportation expenses. So the correct answer would be "y=3.50x+6.00" because x would be the amount of hours you work and y is the income you make.

7 0
4 years ago
How do i find the slope-intercept form for 6x=8y+10
Mamont248 [21]

Answer:

y = 3/4x - 5/4

Step-by-step explanation:

6x=8y+10

Well you must first get your equation set up into the form called "Slope intercept."

6x=8y+10

Add 8y on both of your sides because your y is suppose to be alone.

8y + 6x = 10

Subtract 6x on both sides since it is in fact the opposite of addition.

8y = 6x + 10

Now, you will divide by 8 on both sides. When doing this your y will be alone.

y= 6/8x + 10/8

Note: You can leave it like this but you want to probably simplify.

y = 3/4x + 5/2

      or

y = 3/4x - 5/4

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8 0
3 years ago
Flying lessons cost $645 for an 8-hour course and $1425 for a 20-hour course. Both prices include a fixed insurance fee. a. Writ
Softa [21]

Answer:

Check Explanation

Step-by-step explanation:

a) Let the fixed insurance fee be A and the rate charged per hour be b

The equation for the cost, C, of flying lessons in terms of length, h, of the course in hours is given by

C = A + bh

b) The two points (h, C) given in the question are (8, 645) and (20, 1425)

c) To find the equation of the line passing through these two points,

equation of a straight line iS given by

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denoting hours (h) as x and Cost (C) as y

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Solving this simultaneous equation,

m = 65 dollars/hour and c = 125 dollars

The equation of the straight line is

y = 65x + 125

Written in the variables of the question,

C = 65h + 125

This shows that the fixed insurance fee, called A in part (a) = $125

And the rate charged per hour called b in part (a) = $65/hour

Hope this Helps!!!

3 0
3 years ago
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