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Andreyy89
3 years ago
13

At the carnival, Nick scored 2 points for each basket. He also received a bonus of 10 points. If Nick's total score was 90 point

s, how many baskets did he make?
Mathematics
2 answers:
ASHA 777 [7]3 years ago
4 0
2x + 10 = 90 is our equation.
2x (x, the amount of baskets he made)
10 (the original bonus)
90 (total points)
Subtract 10 from both sides to get 2x by itself.
2x = 80
Divide by 2 to get x.
x = 40.
Nick made 40 baskets.
lutik1710 [3]3 years ago
4 0
Answer: 40 baskets

Why 40 baskets?

If 10 our of 90 points were bonus, than 80 of the points must be from the baskets.

90 - 10 = 80

We know that nick got 2 points for every basket, so we must find out how many baskets he scored to get 80 points

80 ÷ 2 = 40

Nick scored 40 baskets.

Check?

40 baskets, and each are 2 points.

40*2 = 80

90 total, 80 baskets, 10 bonus

80+10 = 90

Final Answer: 40 baskets
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Step-by-step explanation:

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Let the perpendicular distance from B to AC be = x

According To Problem

\frac{1}{2} \times  x \times \sqrt{149} = 54

⇔x =\frac{108}{\sqrt{149} } units

Therefore the perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units

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