Answer:
x = 1/5
Step-by-step explanation:
Step 1: Write equation
-5x - (-7 - 4x) = -2(3x - 4)
Step 2: Solve for <em>x</em>
- <u>Distribute:</u> -5x + 7 + 4x = -6x + 8
- <u>Combine like terms:</u> -x + 7 = -6x + 8
- <u>Add 6x to both sides:</u> 5x + 7 = 8
- <u>Subtract 7 on both sides:</u> 5x = 1
- <u>Divide by 5 on both sides:</u> x = 1/5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)
-1 - (-7 - 4/5) = -2(3/5 - 4)
-1 - (-39/5) = -2(-17/5)
-1 + 39/5 = 34/5
34/5 = 34/5
Answer:
Slope of Parallel Line: -7
Step-by-step explanation:
A set of parallel lines will ALWAYS have the same slope. Perpendicular lines will have complete opposite slopes, for example, the slope of a line perpendicular to this one would be 1/7. If the slope is positive, the other slope will be negative and vice versa. For perpendicular lines, you also have to flip the fractions.
Answer:
2.35%
Step-by-step explanation:
Mean number of months (M) = 39 months
Standard deviation (S) = 10 months
According to the 68-95-99.7 rule, 95% of the data is comprised within two standard deviations of the mean (39-20 to 39+20 months), while 99.7% of the data is comprised within two standard deviations of the mean (39-30 to 39+30 months).
Therefore, the percentage of cars still in service from 59 to 69 months is:
The approximate percentage of cars that remain in service between 59 and 69 months is 2.35%.
The answer is 16 cm (or 0.16 m).
The scale is the ratio of the model to the real thing.
So, in the scale 1:50, the model is 1, while the real thing is 50.
Now, just make a proportion:
the model : the real thing = the model dimension : the real thing dimension
1 : 50 = x : 8m
From here:
x = 8m * 1 / 50 = 0.16 m = 0.16 * 100 cm = 16 cm.
Answer:
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