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o-na [289]
3 years ago
11

18x-(8x-7)=67 what does 'x' equal in this equation?

Mathematics
2 answers:
Alexxandr [17]3 years ago
8 0
18x-8x+7=67
10x=60
x=6
Papessa [141]3 years ago
3 0
18x-8x +7 = 67    2 negatives = a positive
10x +7 = 67
10x +7 -7 =67-7
10x = 60
10 x ÷10 = 60 ÷10
x =6
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3 0
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Which of these points lies on the circle with the center (2,3) and radius 2?
yan [13]

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

Center = (2, 3)

radius = 2

Process

1.- Find the equation of the line

              (x - h)² + (y - k)² = r²

-Substitution

              (x - 2)² + (y - 3)² = 2²  

-Simplification

              (x - 2)² + (y - 3)² = 4

-Evaluate the points in the equation

A. (4, 3)

              (4 - 2)² + (3 - 3)² = 4

                   2² + 0 = 4

                           4 = 4     This point lies in the circle

B (-1, 0)

              (-1 - 2)² + (0 - 3)² = 4

                        -3² + (-3)² = 4

                          9 + 9 = 4   This point is not part of the circle

C. (1, 3)

              (1 - 2)² + (3 - 3)² = 4

                 (-1)² + (0)² = 4

                            1 = 4          This point is not part of the circle

D. (3, 4)

              (3 - 2)² + (4 - 3)² = 4

                     1² + 1² = 4

                            2 = 4          This point is not part of the circle

5 0
3 years ago
Read 2 more answers
A survey found that 12 out of every 15 people in the united States prefer eating at a restaurant over cooking at home. if 400 pe
I am Lyosha [343]
500 people took the survey.

12 out of 15 people is 80% of the population.  12/15 = 0.80
Thus, 80% of the population prefers eating in the restaurant.
 
If 400 represents the people who prefers eating in the restaurant; then, 400 is the 80% of the population. To get the total population or 100%, we must divide 400 by 0.80 or 80%

400 / 0.80 = 500 people.

Out of the 500 people, 400 selected eating in the restaurant while the remaining 20% of the population or 100 people selected cooking at home.
4 0
3 years ago
Read 2 more answers
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