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3 years ago

The question of two numbers is eight the sum of the same two numbers is 72 what are the two numbers

Mathematics

1 answer:

Otrada [13]3 years ago

5 0

Answer:

The two numbers are 64 and 8.

Step-by-step explanation:

You meant "quotient" of two numbers, right?

Represent the numbers by x and y.

Then the quotient is x/y = 8, and beyond that we know that x + y = 72.

Solve this for x and y.

If x/y = 8, then x = 8y. Substituting this into x + y = 72, we get:

(8y) + y = 72, or 9y = 72. Dividing both sides by 9 yields y = 8.

Since x/y = 8, letting y = 8 results in x = 64.

The two numbers are 64 and 8.

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What two numbers can add to 4 but multiple to -12

olasank [31]

Answer:

Numbers: 6 and -2

Step-by-step explanation:

Equations

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

$x+y=4\qquad\qquad [1]$

$x.y=-12\qquad\qquad [2]$

Solving [1] for y:

$y=4-x$

Substituting in [2]

$x(4-x)=-12$

Operating:

$4x-x^2=-12$

Rearranging:

$x^2-4x-12=0$

Solving with the quadratic formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

With a=1, b=-4, c=-12:

$\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}$

$\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}$

$\displaystyle x=\frac{4\pm 8}{2}$

The solutions are:

$\displaystyle x=\frac{4+ 8}{2}=6$

$\displaystyle x=\frac{4- 8}{2}=-2$

This confirms the preliminary results.

Numbers: 6 and -2

7 0

3 years ago

A lacrosse team won 80% of their games. If they won 24 games, how many games did they play?

Phantasy [73]

Answer:

Step-by-step explanation:

80% of 30 is 24 (u can use a calculator if you would like to check the answer but it is 30)

8 0

3 years ago

Read 2 more answers

Evaluate the expression 4(5+6)-15

Alona [7]

Answer 29

5+6=11
11•4=44
44-15=29

5 0

3 years ago

Help please!!!!!!!!!!!!!!!

Georgia [21]

Answer:

try acceleration

Step-by-step explanation:

8 0

3 years ago

Find the midpoint of the line segment with the given endpoints (-4,4) (5,-1)

seraphim [82]

Answer:

(1/2), (3/2)

Step-by-step explanation:

midpoint fomula

(x1+x2)/ 2, (y1+y2)/2

(5-4)= 1 1/2 = (1/2)

(-1+4)=3 3/2=(3/2)

3 0

3 years ago

Read 2 more answers