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3 years ago

2. I'm thinking of two positive integers. Their sum is 8. Their product is 12. What are they?

Mathematics

2 answers:

dimulka [17.4K]3 years ago

6 0

Answer:

2 and 6

Step-by-step explanation:

Take integers to be X and Y

X*Y=12

X + Y = 8

from the second equation, X= 8-Y

put X in the first Equation

(8-Y)Y = 12

Expand the equation

-Y² + 8Y - 12 = 0

Factorize the above equation

(-Y + 2) (Y - 6) = 0

Y = 2 and Y = 6

choose any value of Y.

so Y = 6,

put Y in X + Y = 8

X + 6 = 8

X = 2

therefore the integers are 2 and 6

Luba_88 [7]3 years ago

3 0

Answer:

the answer are 2 and 6 ok

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Two athletes practice for a marathon by running back and forth on a 11-mile course. They start running simultaneously, one at a

maks197457 [2]

Answer:

Faster runner speed: 11 mph

Slower runner speed: 9 mph

Distance from starting point: 9.9 miles

Step-by-step explanation:

Let the slower runner speed be: x

Faster runner speed: x+2

1 hour 6 minutes = 1.1 hours

Slower: 1.1(x) = 1.1x miles

Faster: 1.1(x+2) = 1.1x+2.2 miles

This means that the faster runner had gone 2.2 miles more than the slower runner.

1.1x + 2.2 > 11 miles (This is true as we know the faster runner is coming back from the 11 mile run)

1.1x > 11 - 2.2 miles

1.1x > 8.8 miles

x > 8.8 / 2.2 miles

x > 8 mph

1.1x < 11 miles (we know this is true as the slower runner has to have gone less than 11 miles as the faster runner met him on his way back)

x < 11 / 1.1 miles

x < 10 miles

8 < x < 10

Although x could be any number including decimal between 8 and 10, the obvious first answer would be 9. However we need to check if this answer is correct.

Slower runner distance to the end:

1.1(9) = 9.9 miles

11 - 9.9 = 1.1 miles

Faster runners distance from the end (when coming back)

1.1(9+2) = 1.1(11) = 12.1 miles

12.1 - 11 = 1.1 miles

The speeds 9 mph and 11 mph are now proven to be the right speeds. Using our equation before, we can figure out the distance from the starting point that they meet at. This is just how far the slower runner has gotten. So, 1.1(9) = 9.9 miles from the starting point

7 0

2 years ago

What is the equation of the line that is perpendicular to the line y=*x+10 and passes through the point (15,-5)?

ivanzaharov [21]

Answer:

Slope of the line y = x + 10 is 1. So, any straight line perpendicular to this must be having slope of (-1).

Let, the line be y = - x + b and it passes through (15, -5).

So, 15 = 5 + b

b = 10.

So, equation of that line: y = -x + 10

Or, x + y = 10.

Y-intercept of the line = 10 units.

6 0

2 years ago

Read 2 more answers

Kim takes her 7 children to the carnival. If she buys 30 tickets for them, which of the following best describes how many ticket

galben [10]

210 (idk maybe since I think this is multiplication)

7 0

3 years ago

8. Mitchell bought 600 shares of Centerco two years ago $34.50 per share. He sold them yesterday for $38.64 per share.

g100num [7]

Answer:

a. percentage increase in price per share = 12%

b. The total purchase price for the 600 shares is $20,700

c. The profit for the 600 shares is $2,484

d. The profit for the 600 shares is $2,484

Step-by-step explanation:

a. Initial price per share = $34.50

Current price per share = $38.64

Change or increase in price = $38.64 - $34.50 = $4.14

percentage increase in price per share = 12/34.50 x 100% = 12%

b. Total number of shares = 600

Price = $34.50

The total purchase price for the 600 shares = ($34.5x600) = $20,700

c. Total cost of 600 shares = ($34.5x600) = $20,700

Total revenue from sales = ($38.64x600) = $23,184

Profit from the 600 shares = Total selling price - total cost price

= $23,184 - $20,700 = $2,484

d. Total cost of 600 shares = ($34.5x600) = $20,700

Total revenue from sales = ($38.64x600) = $23,184

Profit from the 600 shares = Total selling price - total cost price

= $23,184 - $20,700 = $2,484

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3 years ago

Over 6 days, jim jogged 6.5,5,3,2,3.5, and 4 miles. What is the mean distance that Jim jogged

bonufazy [111]

To get the mean distance that Jim jogged, you have to solve for the total miles he was able to jogged divided by the number of days he jogged.

6.5 miles + 5 miles + 3 miles + 2 miles + 3.5 miles + 4 miles = 24 miles / 6 days = 4

Therefore, the mean distance that Jim jogged is 4 miles.

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3 years ago