Answer
The missing length is 10
Step-by-step explanation:
Represent the missing length with x
The sides of the given shape are directly proportional.
Mathematically:
(15 + x) to (12 + 8) and x to 7
Represent as a ratio:
Convert to fraction
Cross Multiply:
Collect Like Terms
Solve for x
<em>The length of the missing side is 10</em>
Answer:
20 games
Step-by-step explanation:
Let
x ----> total games played this season
we know that
12 games represent 60% of the games they have played this season
so
using proportion
Find out how many games represent a percentage of 100%
The numbers DO differ by 10 if they are
- 1 and 11
- 2 and 12
- 3 and 13
- 4 and 14
- 5 and 15
Each outcome technically has two ways of occurring, but since we're taking two marbles at a time, that would be the same as saying, for instance, that drawing 1 and 11 is the same as drawing 11 and 1. We only count such an event once.
So the answer is (a) 5.
Rent and electricity = 5x + 11
rent = 2x - 3
electricity = (5x + 11) - (2x - 3)
electricity = 5x + 11 - 2x + 3
electricity = 3x + 14
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Answer: 3x + 11
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