Answer:
The Consumer Price Index (CPI) is a measure of the average change overtime in the prices paid by urban consumers for a market basket of consumer goods and services.
Answer:
The number of chicken and cows should be 19 and 11.
Step-by-step explanation:
The number of chicken and cows should be 19 and 11.
Given that,
The farm has 30 chickens and cows, and there are 82 chicken and cow legs all together.
Let x represent the number of chickens in the farm.
Let y represent the number of cows in the farm.
Based on the above information, the calculation is as follows:
x + y = 30
Since a chicken has 2 legs and a cow has 4 legs.
So,
2x + 4y = 82 - - - - - - - - - - - - 1
Now
Substituting x = 30 - y into equation 1, it becomes
2(30 - y) + 4y = 82
60 - 2y + 4y = 82
- 2y + 4y = 82 - 60
2y = 22
y = 11
Now
x = 30 - 11
= 19
Put 7 in place of x 10-2(7)= 10-14=negative 4
Answer:
59°, 71°
Step-by-step explanation:
This is a "sum and difference" problem. All problems of this type have the same answer: the larger of the two numbers is the average of those given.
Then the larger angle is (130 +12)°/2 = 71°. The smaller is 71° -12° = 59°.
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<em>More detailed solution</em>
There are several ways to get there using equations. You can, for example, let L represent the larger number. Then L - D will be the smaller one (where D represent the difference). The sum of the two numbers (S) is ...
L + (L -D) = S
2L = S + D . . . . collect terms, add D
L = (S+D)/2 . . . the larger number is the average of the sum and difference
2x+1=5x-20
you want to find the x value so you want to isolate x to do this you have to subtract 2x on both sides. After you have accomplished this you add 20 on both sides once again and then you divide what your answer from what you added by three.
2x+1=5x-20
-2x -2x
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1=3x-20
+20 +20
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21/3=3x/3
7=x
