All categories

3 years ago

If the sum of two numbers is 15 and their product is 50 what are they

1 answer:

5 0

Xy = 50
x + y = 15

x = 15 - y

xy = 50

(5 - y)y = 50

5y - y^2 = 50

y^2 - 5y + 50 = 0

(y - 5)(y - 10) = 0

y - 5 = 0 or y - 10 = 0

y = 5 or y = 10

x + y = 15

For y = 5:

x + 5 = 15

x = 10

For y = 10

x + 10 = 15

x = 5

Answer: the numbers are 5 and 10.

You might be interested in

Perpendicular to y=2x+9 and has the point (4,-1)

Wewaii [24]

Answer: y = $-\frac{1}{2}$ x + 1

Step-by-step explanation:

First, we will find the slope. The slope of perpendicular lines are negative reciprocals.

In this case, the first slope is 2. The negative of 2 is -2, and the reciprocal of -2 is $-\frac{1}{2}$ .

Now, we will plug in this new slope, the point given, and solve for the b, or the y-intercept.

y = mx + b

(-1) = ( $-\frac{1}{2}$ )(4) + b

-1 = -2 + b

1 = b

Lastly, we will write our equation.

y = mx + b

y = $-\frac{1}{2}$ x + 1

The line is y = $-\frac{1}{2}$ x + 1, or y = 1 - $\frac{x}{2}$ .

4 0

2 years ago

Read 2 more answers

Plz ans with steps... Thx!!

Ganezh [65]

Answer:

Step-by-step explanation:

Let the 1st part of your answer be x , so the 2nd part will be 40-x . From the given information, we can write the equation: (1/4)x = (3/8) × (40-x) . We can simplify this into (1/4)x = (120-3x)/8 ; 8x = 480-12x ; 8x+12x = 480 ; 20x = 480 ; x = 480/20; x = 24

Therefore, the 1st part = 24

Plug this into your 40-x equation to get: 40 - 24 = 16

3 0

3 years ago

The test statistic of z=2.08 is obtained when testing the claim that p≠0.611. a. Identify the hypothesis test as being two-tail

krek1111 [17]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

When the two-tailed were testing then:

Null and alternative hypothesis:

$H_0 : p = 0.611\\\\H_a : p \neq 0.611$

Testing the statistics:

$\to z = 2.08\\\\P-value = 0.0375\\\\\alpha = 0.01\\\\0.0375> 0.01\\\\P-value < \alpha\\\\$

therefore, it fails to reject the null hypothesis.

8 0

3 years ago

Write a unit rate for the situation. 6 kittens in 3 boxes

MrRa [10]

Answer:

6:3

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the value of x? Please provide an explanation, thanks!

Novosadov [1.4K]

Answer:

Step-by-step explanation:

What you do is add up 42 and 76, then you subtract that from 180, because all triangles add up to 180. the subtracted amount is what z equals. Then since its a straight line you know it adds up to 180. You add z (62) and 90 because its a right angle. then you subtract 180 by 152 to get 28.

brianliest pls

4 0

2 years ago