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satela [25.4K]
3 years ago
7

Which ordered pair is a solution if the equation? 2x + 3y = 10

Mathematics
1 answer:
adoni [48]3 years ago
3 0

Answer:

See below.

Step-by-step explanation:

Try each ordered pair in the equation. Each ordered pair is of the form (x, y). Replace x and y in the equation by values of x and y, respectively, in each ordered pair. Whichever ordered pair makes the equation a true statement is the answer.

For example:

Try (2, 3):

2x + 3y = 10

2(2) + 3(3) = 10

4 + 9 = 10

13 = 10

Since 13 = 10 is a false statement, (2, 3) is not a solution.

Try (2, 2):

2x + 3y = 10

2(2) + 3(2) = 10

4 + 6 = 10

10 = 10

Since 10 = 10 is a true statement, (2, 2) is a solution.

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Someone pls help I'm confused​
kozerog [31]

Answer:

4x + 8x = 180

12x = 180

divide by 12 on both sides:

X = 15

4 x 15 = 60 degrees

8 x 15 = 120 degrees

5 0
2 years ago
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How many different 10 person committees can be selected from a pool of 23 people?
Salsk061 [2.6K]

We're going to be using combination since this question is asking how many different combinations of 10 people can be selected from a set of 23.

We would only use permutation if the order of the people in the committee mattered, which it seems it doesn't.

Formula for combination:

C(n,r)=\dfrac{n!}{(n-r)!r!}

Where n represents the number of objects/people in the set and r represents the number of objects/people being chosen from the set

There are 23 people in the set and 10 people being chosen from the set

C(23,10)=\dfrac{23!}{(23-10)!10!}

=\dfrac{23!}{13!\times10!}

Usually I would prefer solving such fractions by hand instead of a calculator, but factorials can result in large numbers and there is too much multiplication. Using a calculator, we get

=1,144,066

Thus, there are 1,144,066 different 10 person committees that can be selected from a pool of 23 people. Let me know if you need any clarifications, thanks!

~ Padoru

4 0
3 years ago
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Evaluate. 2/3 - 1/6 <br> Please show an explanation.
Scorpion4ik [409]

Answer:

1/2

Step-by-step explanation:

2/3 - 1/6

Get a common denominator of 6

2/3 *2/2 - 1/6

4/6 - 1/6

3/6

Simplify

1/2

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3 years ago
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There are 82 trees at a park. Half of the trees are pecan trees and the
Marrrta [24]

Answer:

41 oak tree

Step-by-step explanation:

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How does solving the equation arithmetically compare to solving an equation algebraically
IRISSAK [1]
In an arithmetic equation, there is no variable in the 'meat' of the equation(example: 5-5=0). In an algebraic equation, there is a variable in the meat of the equation(example: 5-x=0).
Hope this helps and please give brainliest!
4 0
3 years ago
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