Answer:
- movie: $3.75
- video game: $5.75
Step-by-step explanation:
Two equations in two unknowns can be written:
3m +5v = 40
9m +7v = 74
These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to
is given by ...
- ∆ = bd -ea
- x = (bf -ec)/∆
- y = (cd -fa)/∆
For the numbers above,
- ∆ = 5·9 -7·3 = 24
- m = (5·74 -7·40)/24 = 90/24 = 3.75
- v = (40·9 -74·3)/24 = 138/24 = 5.75
The rental cost for each movie is $3.75; for each video game, it is $5.75.
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The attached graph shows a graphing calculator solution to these equations.
Answer:
t = 8°
Step-by-step explanation:
We know that the sum of all the angles in a triangle is equal to 180°
Let's set up our equation => 18t + 36 = 180
Subtract 36 from both sides
18t = 144
t = 8
Thus, we have our answer
Answer:
128
Step-by-step explanation:
32 x 4 = 128
o
32 + 32 + 32 + 32 = 128
2,862 bacteria
6,200/26 = x/12
For one hour, there are 238.461538. Multiply that by 12 and get 2861.53846. Round to the nearest whole number and your answer is 2,862 bacteria.
Answer:
160,000
Step-by-step explanation:
Estimations like this usually involve rounding to easy numbers to multiply. You could do this in a number of ways depending on your ability to keep track of factors in your head, but the easiest way (and what I assume your teacher is looking for) is to round to the nearest, largest-power-of-ten, which in this case is the hundreds. 786 is closest to 800, and 217 is closest to 200, and 200*800 is 160,000. No calculator required is the key. You can also be slightly more sure that this is <em>reasonable</em> because you rounded up for one and down for the other, approximately by the same amount, too.
