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Lerok [7]
3 years ago
13

Describe how to substitute an ordered pair into an equation.

Mathematics
1 answer:
Tatiana [17]3 years ago
5 0
Let's say you have the equation

5x + 3y = 11

You are asked to test the ordered pair (1, 2) to see if it is a solution of the equation. A solution of the equation will make the equation a true statement. The ordered pair (1, 2) has 1 as its x-coordinate and 2 as its y-coordinate.
Substitute 1 for x and 2 for y in the equation. Then work it out to see if it is a true statement.

5x + 3y = 11

5(1) + 3(2) = 11

5 + 6 = 11

11 = 11

Since 11 = 11 is a true statement, the ordered pair (1, 3) is a solution of the equation.
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A scale on a map shows that 2.52.52, point, 5 centimeters represents 151515 kilometers.
Dmitry_Shevchenko [17]

Answer:

  105 km

Step-by-step explanation:

Written as a proportion, the ratio of km to cm will be the same for both distances:

  (x km)/(17.5 cm) = (15 km)/(2.5 cm)

  x km = (15 km)(17.5/2.5) = 105 km

105 actual kilometers are represented by 17.5 cm on the map.

5 0
3 years ago
The mean of five numbers is 8. when another number is added the mean is 7. find the number added
sasho [114]

Answer:

\large \boxed{\sf \ \ 2  \ \ }

Step-by-step explanation:

Hello,

<u>The mean of five numbers is 8</u> so we can write

\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8

<u>When another number is added the mean is 7</u>, let s note x the another number we can write

\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7

From the first equation we can say

x_1+x_2+x_3+x_4+x_5=8*5=40

So the second equation becomes

\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\ \dfrac{40+x}{6}=7\\\\40 + x = 6*7=42\\\\ x = 42-40 = 2\\

The solution is then 2

Hope this helps

4 0
3 years ago
The perimeter of a square is 24 4/9 in, and its side is 6 1/9 in. Find its area.
ra1l [238]
Area = side * side
Area of the square = 6 1/9 * 6/1/9
                                 = 36 1/81

7 0
3 years ago
Compare the solutions of
MrRa [10]

Answer:

of what?

Step-by-step explanation:

4 0
3 years ago
you mix (5)/(8)of a cup of wheat flour with 1 (3)/(4)cups of white flour. Do you have enough flour for a recipe that calls for 2
swat32
5/8+1 3/4
5/8+7/4(turned into improper fraction)
5/8+14/8=19/8=2 3/8
(Make sure they all have a common denominator so that u will be able to add)Then your answer is an improper fraction so u turn it in to a mixed number and 2 1/2 is the same as 2 4/8 and you have 2 3/8 therefore,
no you do not have enough flour you need 1/8 of a cup more.
5 0
3 years ago
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