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givi [52]
2 years ago
15

Joel needs 785 tickets to get the prize he wants at the arcade. He already has 284 tickets and can earn 35 tickets each time he

plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?
Mathematics
1 answer:
Cloud [144]2 years ago
4 0

He needs to play 23 more times. 785 / 35 = 23

He will have extra points but it will be enough to get the prize.

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The factorization of the numbers is obtained as

(a) 36 = 2² x 3²,

(b) 60 = 2² x 3 x 5,

(c) 84 = 2² x 3 x 7,

(d) 99 = 3² x 11 and

(d) 180 = 2² x 3² x 5

<h3>Factor of the numbers</h3>

To factorize the numbers we use their factors as show below;

<h3>Factors of 36</h3>

36 = 2² x 3²

<h3>Factors of 60</h3>

60 = 2² x 3 x 5

<h3>Factors of 84</h3>

84 = 2² x 3 x 7

<h3>Factors of 99</h3>

99 = 3² x 11

<h3>Factors of 180</h3>

180 = 2² x 3² x 5

Thus, the factorization of the numbers is obtained as 36 = 2² x 3², 60 = 2² x 3 x 5, 84 = 2² x 3 x 7, 99 = 3² x 11 and 180 = 2² x 3² x 5.

Learn more about factorization here: brainly.com/question/25829061

#SPJ1

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A line passes through the origin and has a slope of -3 what is the equation of the line that is perpendicular to the first line
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Answer: y=\frac{1}{3}x+3

Step-by-step explanation:

The equation of the line is Slope-intercept form is:

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Where "m" is the slope and "b" the y-intercept.

The slopes of perpendicular lines are negative reciprocal.

Then, if the slope of the first line is -3, the slope of the other line must be:

m=\frac{1}{3}

Substitute the point (3,4) into the equation and solve for b:

4=\frac{1}{3}(3)+b\\ 4-1=b\\b=3

Then the equation of this line is:

y=\frac{1}{3}x+3

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Answer:Yes

Hope this helps!

Step-by-step explanation:

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Gnoma [55]

It looks like the next six terms are 22, 26, 30, 34, 38, 42

It is increasing by 4

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3 years ago
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