Moving the decimal over one space to the left. (9.852)
Explanation:
If you multiply a decimal by 10 the decimal point will move one space to the right to make a bigger number. But, if you divide by 10, it will move one space to the left to make a smaller number. (÷ means left, x means right) The The rule is, however many 0’s you have after the 1, that is how many spaces you move your decimal point. For an example if I wanted to multiply or divide a decimal by 100, I would move the decimal point 2 spaces over instead of just one because the number 100 had two 0’s after the one.This rule will not work with numbers like 20, or 150, because they are not multiples of 10 like the other numbers. Numbers that will work are 10, 100, 1000, 10000, 100000 and so on.
Sorry this is so long, I just wanted to make sure you understand because I had trouble with it when I was learning it.
12x + 16y = 96
Subtract 12x from both sides
16y = 96 - 12x
Divide each side by 16
y = 6 - 0.75x
Answer:
Option 4 is correct.
Step-by-step explanation:
Consider a function g, it has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18. It is given that g(-1) = 2 and g(2) = 8.
The statement g(5) = 12 is not true because the value of x is 5 which is not in its domain.
The statement g(1) = -2 is not true because the value of function g(x) is -2 which is not in its range.
The statement g(2) = 4 is not true because g is a function and each function has unique output for each input value.
If g(2)=8 and g(2)=4, then the value of g(x) is 8 and 4 at x=2. It means g(x) is not a function, which is contradiction of given statement.
The statement g(3) = 18 is true because the value of x is 3 which is in the domain and the value of function g(x) is 18 which is in its range.
Therefore, the correct option is 4.
Answer: $13.74
Step-by-step explanation:
The students have already raised $189.32 so 491.60-189.32= 302.28 is the remainder the 22 students must raise in order to final an equal amount each individual student must make divide your remainder (302.28) by the number of students (22)
Area of triangle = 1/2 x base x height
so old triangle we have 1/2 x b x h = 48
new triangle has base 3 times as long and height is half as long
so we would get:
1/2 x (3B) x (1/2H) = area
rewrite as 1/2 x 3/2 x b x H = area
divide by original are os 1/2 x b x h and you end up with 3/2
so new area = 3/2 x old area
new area = 3/2 * 48 = 72 square inches
