Answer:
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction.
Answer:
3 girls and 4 boys
Step-by-step explanation:
Writing the number of girls in the family as g and the number of boys in the family as b,
we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as
b = 2(g-1)
Next,
we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as
b-1 = g
Therefore, we have
b = 2(g-1)
b-1 = g
Plugging b-1 = g into the first equation, we get
b = 2 (g-1)
2(g-1) = 2((b-1) - 1) = b
= 2(b-1-1)
= 2(b-2)
= 2b-4
b = 2b-4
subtract 2b from both sides to make it so that only b values and their coefficients are on one side
-b = -4
multiply both sides by -1 to solve for b
b=4
Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.
You start with 80 and ADD 10 each week
----> 80 + 10x
Your brother starts with 275 and SUBTRACTS 15 each week
---> 275 - 15x
Set expressions equal to find out when you have same amount as your brother.
80 +10x = 275 -15x
Add 15x to both sides
80 +25x = 275
Subtract 80 from both sides
25x = 195
Divide by 25
x = 7.8 (Round up to 8)
This means in 8 weeks you will have caught up and if fact have more money than your brother.
Since you save 10 per week, in 8 weeks the Total saved = 10*8 = 80
Answer:
18.
Step-by-step explanation:
That would be √(9 * 36)
= 18 (answer).
The geometric mean is defined as the nth root of the product of n numbers.
In 1975 it was 1000tons, ok, well, in 1976 it went up by 10%, how much is a 10% increase?
well, in 1976 it was 1100 tons then, and in 1977 it went down by 5% of 1100, well, if we take 1100 to be the 100%, then what is a 5% decrease?