Answer:
x = 9/2.
Step-by-step explanation:
2/3 x + 4 = 7
2/3 x = 3
Multiply both sides by 3/2:
2/3 * 3/2 x = 3 * 3/2
x = 9/2.
Answer:
Step-by-step explanation:
1) Eliminate parentheses:
0.1x +18.8 = -4 +2x
22.8 = 1.9x . . . . . . . . . add 4 - 0.1x
12 = x . . . . . . . . . . . . . divide by 1.9
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2) Eliminate parentheses:
-16 +4x = 0.8x +12.8
3.2x = 28.8 . . . . . . . . add 16 - 0.8x
x = 9 . . . . . . . . . . . . . .divide by 3.2
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<em>Comments on the solutions</em>
The expression we add in each case eliminates the constant on one side of the equation and the variable term on the other side. That leaves an equation of the form ...
variable term = constant
We choose to eliminate the smaller variable term (the one with the coefficient farthest to the left on the number line). Then the constant we eliminate is the on on the other side of the equation. This choice ensures that the remaining variable term has a positive coefficient, tending to reduce errors.
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You can work these problems by methods that eliminate fractions. Here, the fractions are decimal values, so are not that difficult to deal with. In any event, it is good to be able to work with numbers in any form: fractions, decimals, integers. It can save some steps.
Answer:
length is 29.3, width is 3
Step-by-step explanation:
A= L×W
and if A = 88 and W is 3
88= L×3
Divide
88/3
legth =29.3
Answer:
peanut butter cookies:8
sugar cookies:2
chocolate chip cookies:5
ratio: 4:1:2.5
Step-by-step explanation:
x=peanut butter cookies
y=sugar cookies
a=chocolate chip cookies
40=2x+3y+3.6a
15=x+y+a
x=a+3
15=(a+3)+y+a
y=12-2a
40=2(a+3)+3(12-2a)+3.6a
a=5
x=8
y=2
Answer:
When sampling from a population, the sample mean will: be closer to the population mean as the sample size increases.
Step-by-step explanation:
The sample mean is not always equal to the population mean but if we increase the number of samples then the mean of the sample would become more and more closer to the population mean.
Usually the population size is very huge that is why we select a random sample from the population, care must be taken to ensure randomized sampling otherwise results would not be accurate. After that we have to make sure that the number of samples are enough for the given population size. The number of samples depends upon the shape of the population. If the population is normal than according to central limit theorem, a less number of samples would be enough to ensure normal distribution of sampling mean, otherwise a greater sample size will be required.
