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MatroZZZ [7]
3 years ago
8

20 is equal to 5 less than twice a number.

Mathematics
1 answer:
sweet [91]3 years ago
5 0
If we have a number represented by n, we have 20 is equal to, so 20=something. That something is "5 less than twice a number". 5 less than something means something-5, and something-5=20. Since 5 is less than twice a number, and twice a number is n+n=2n, we have 2n-5=20
Actually solving the problem, we can start by adding 5 to both sides, resulting in 2n=25. Next, we can divide both sides by 2 to get n=12.5
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The sum of two integers is 8 and their product is -20.<br>What are the integers?​
emmasim [6.3K]

Answer:

The answer to your question is

x = -2 and y = 10     or   x = 10 and y = -2

Step-by-step explanation:

          x + y = 8   (1)      from (1)    x = 8 - y

         xy = - 20    (2)

       

Solve them by substitution

      (8 - y) y = - 20

      8y - y² = -20

      y² - 8y - 20 = 0

   ( y - 10) (y + 2) = 0

    y - 10 = 0              and      y + 2 = 0

   <u> y1 = 10 </u>                               <u>y2 = -2</u>

 x1 = 8 - 10                             x2 = 8 - -2

 <u>x1 = -2</u>                                  <u> x2 = 10</u>

8 0
2 years ago
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G. What are the coordinates
I am Lyosha [343]

Given:

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.

To find:

The coordinates of point G.

Solution:

Section formula: If a point divide a line segment with end points (x_1,y_1) and (x_2,y_2) in m:n, then the coordinates of that point are

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Point G divide the line segment FH in 8:2. Using section formula, we get

G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)

G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)

G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)

G=\left(4.8,4.4\right)

Therefore, the coordinates of point G are (4.8, 4.4).

4 0
2 years ago
In 8 years, a girl will be 3 years older than twice her present age. How old is she now<br>​
Lisa [10]

Answer:

5

Step-by-step explanation:

You can express this as a system of equations:

x in this instance will be her present age.

x + 8 = 2x + 3

simply solve for x after this by subtracting three and x from both sides, and you’ll find that x is 5.

5 0
3 years ago
HELP ASAP PLEASE!!!!!
kiruha [24]
I think the answer is (6,-4)
5 0
3 years ago
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Please help me asap<br> Given the triangles are similar, find x.
Nadusha1986 [10]

Answer:

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Step-by-step explanation:

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