3 years ago

Ania scored a total of 120 points this season so far and averaged 15 points a game. How many games has she played?

Mathematics

1 answer:

arlik [135]3 years ago

4 0

She played 8 games. Since she earned a total of 120 points and 15 points per game you would divide 120/15=8

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45 + 15(n − 1) for n = 6

blondinia [14]

Answer:

120

Step-by-step explanation:

45 + 15 (6 -1)

45 + 15 (5)

45 + 75

120

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3 years ago

Find the quotient of 5+4i/6+8i , and express it in the simplest form

Sergio [31]

Remember: i² = -1

$\frac{5+4i}{6+8i}= \frac{(5+4i)(6-8i)}{(6+8i)(6-8i)}= \frac{30-40i+24i-32i^2}{36-64i^2}= \frac{30-16i-32(-1)}{36-64(-1)}= \\ \\ = \frac{30-16i+32}{36+64}= \frac{62-16i}{100}=0.62-0.16i$

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faltersainse [42]

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3 years ago

Plutonium–238 has a yearly decay constant of 7.9 × 10-3. If an original sample has a mass of 15 grams, how long will it take to

eduard

The answer is 28 years

At = A0 * e^(-k * t)
At = 12 g
A0 = 15 g
k = 7.9 × 10^-3 = 0.0079
t = ?

12 = 15 * e^(-0.0079 * t)
12/15 = e^(-0.0079 * t)
0.8 = e^(-0.0079 * t)

Logarithm both sides (because ln(e) = 1:
ln(0.8) = ln(e^(-0.0079 * t))
ln(0.8) = (-0.0079 * t) * ln(e)
-0.223 = -0.0079 * t
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t = 28.23
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3 years ago

Solve the inequality for x. 75+15x is greater than or equal to 140

Gre4nikov [31]

75+ 15x ≥ 140
⇒ 15x ≥ 140 -75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3

The final answer is x ≥ 4 1/3~

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3 years ago

Ania scored a total of 120 points this season so far and averaged 15 points a game. How many games has she played?​

Ania scored a total of 120 points this season so far and averaged 15 points a game. How many games has she played?