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marshall27 [118]
2 years ago
14

Find two numbers who have a sum of 21 and a product of 104.

Mathematics
1 answer:
sergeinik [125]2 years ago
8 0

The  two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

<h3>System of equations</h3>

Let the two unknown numbers be x and y

If the sum of the numbers is 21, hence;

x + y = 21

x = 21 - y

If the product is 104, then;

xy = 104
(21-y)y = 104

21y - y^2 = 104
y^2-21y + 104 = 0

Factorize the result

y^2-8y - 13y+ 104 = 0
y(y-8) - 13()y-8) = 0
y = 13 and 8

Hence the two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

Learn more on system of equation here:  brainly.com/question/847634

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Gnom [1K]

Answer:

5p9

Step-by-step explanation:

4 0
3 years ago
What two partial products would you add to find 513 x 46
Afina-wow [57]
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.

Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.

Multiply 513 with 6 first.

    513
    x46
--------------------------
      18 (as 6*3 = 18)
      60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
  3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
    120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
    400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)


Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.

Check: If we check the multiplication result by using the calculator, we would get the same result (23598).

Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
3 0
4 years ago
Read 2 more answers
STION 1
Lorico [155]

Answer:

1.1.1- Michael has 200 lovebirds in total

1.1.2- There are 40 birds in each cage

1.1.3- 120/80 = 3/2

Step-by-step explanation:

120+80=200

200÷5=40

120÷40=3, 80÷40=2

7 0
3 years ago
Plz help cause idk what to do
mixer [17]

Answer:

<em>-9.5 + 6x ≥ 42.1 </em>

<em>6x ≥ 51.6</em>

x ≥ 8.6

Here, we can see that x is greater than or equal to 8.6. So, we can say that 8.6 is the lowest value of x

but we have 2 options with 8.6 as the lowest term, we can see that the brackets are different in the beginning

the '[' bracket tells us to include 8.6 in the values of x whereas the '(' bracket tells to exclude 8.6 from the possible values of x

since we know that x is greater than or equal to 8.6, we will use the '[' bracket

Hence, b is your answer

<em></em>

<em>PS: i need one brainly to reach the next rank, if you find this answer helpful. Mark Brainliest </em>

8 0
3 years ago
Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins
elixir [45]

Answer:

( l+w)

Step-by-step explanation:

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4 0
3 years ago
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