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2 years ago

2. Mark has scored 12, 14, 10, 8, and 5 points in the past 5 basketball games. Write and solve the inequality that

Mathematics

1 answer:

marusya05 [52]2 years ago

5 0

Answer:

Mark must score at least 11 points to have an average of 10 points per game.

Step-by-step explanation:

The average of a set of data is its sum, divided by the number of data points in the set. If p is the number of points Mark scores in his next game, and he wants his average at least 10, then the relation is ...

(12 +14 +10 +8 +5 +p)/6 ≥ 10

49 +p ≥ 60 . . . . . . . . . multiply by 6 and simplify

p ≥ 11 . . . . . . . . . . . subtract 49

Mark must score at least 11 points in the next game to average at least 10 points per game.

_____

Additional comment

Sometimes, it is convenient to work with the average directly. Relative to the average Mark wants (10), his scores so far are +2, +4, 0, -2, -5, for a total of -1. In order to bring the average to the value Mark wants, he must bring this total to 0 or higher. That is, he must score at least 10+1 = 11 points in his next game.

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The recycling and reuse industry employs approximately 1,025,000 more workers than the waste management industry. Together they

NARA [144]

Answer:

Step-by-step explanation:

The recycling and reuse industry employs approximately 1,025,000 more workers than the waste management industry. This means that

Number of workers employed by The recycling and reuse industry = the number of workers employed by the waste management industry + 1,025,000

Let y = the number of workers employed by the waste management industry. Therefore

x = y + 1,025,000 - - - - - - 1

Since total = 1,275,000

x + y = 1,275,000 - - - - - - -2

Substituting equation 1 into equation 2, it becomes

y + 1,025,000 + y = 1,275,000

2y = 1,275,000 - 1,025,000

y = 250000/2 = 125000

x = y + 1,025,000 = 125000 + 1,025,000 = 1150000

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The waste management industry employs 125000 workers

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3 years ago

7th grade simple solutions math 85-88

soldi70 [24.7K]

Answer:

-3 85-88 lets turn that around 88-85 is 3 but the problem is 85-88 so its -3

Step-by-step explanation:

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2 years ago

Donald sells 760 marbles everyday. He sells each marble for 1.5 dollars. For how many days does Donald need to sell marbles to e

Harman [31]

Answer:

Donald needs 3 days to earn 3420 dollars

Step-by-step explanation:

Donald sells 760 marbles everyday. He sells each marble for 1.5 dollars

amount collected in one day= $760 \cdot 1.5=1140 dollars$

In one day the amount earned is 1140 dollars

we need to find the number of days needs to earn 3420 dollars

Number of days needed is $\frac{3420}{1140}=2.842$

So its around 3 days

Donald needs 3 days to earn 3420 dollars

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3 years ago

Find the difference between theproduct of 26.22 and 3.09 and the sum of 3.507, 2.08, 11.5, and 16.712.

ioda

26.22× 3.09 ≈ 81.0198– 3.507 ≈ 7 7.5128– 2.08 ≈ 75.4328– 11.5 ≈ 63.9328– 16.712
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3 years ago

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Four friends earn $ 24 washing cars and c dollars cutting grass. They want to divide the total amount into equal parts.

olganol [36]

Answer:

$15.50

Step-by-step explanation:

From washing cars, each friend should get $24/4, or $6.

From cutting grass, each friend should get $38/4, or $9.50.

Thus, each friend is due ($6 + $9.50), or $15.50.

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3 years ago

Read 2 more answers