Answer:
3/4
Step-by-step explanation:
The zero at the end of the number is not important, so you are left with 0.75
Basically, you can think of it as 75 is three-fourths of 100, so the fraction would be 3/4. (and 3/4 is completely simplified)
Answer:
7
Step-by-step explanation:
We want to find the number 4-digit of positive integers n such that removing the thousands digit divides the number by 9.
__
Let the thousands digit be 'd'. Then we want to find the integer solutions to ...
n -1000d = n/9
n -n/9 = 1000d . . . . . . add 1000d -n/9
8n = 9000d . . . . . . . . multiply by 9
n = 1125d . . . . . . . . . divide by 8
The values of d that will give a suitable 4-digit value of n are 1 through 7.
When d=8, n is 9000. Removing the 9 gives 0, not 1000.
When d=9, n is 10125, not a 4-digit number.
There are 7 4-digit numbers such that removing the thousands digit gives 1/9 of the number.
Answer:
5 and a half
Step-by-step explanation:
Because you can fit 2 liters in each can, to find how many you would need, divide 11 by 2, this would give you 5 and a half, 5.5.
It could be that they want you to round up to six or round down to five, so do consider that.
Answer: f(a-2) = 2a² - 14a + 28
Step-by-step explanation:
f(x) = 2x² - 6x + 8
you can take a-2 and substitute it for each x, which would look like this:
f(a-2) = 2(a-2)² - 6(a-2) + 8
then distribute those in ( )
f(a-2) = 2a² - 8a + 8 - 6a + 12 + 8
combine like terms
f(a-2) = 2a² - 14a + 28
Answer:
Point-slope form: y + 3= -1(x + 4)
Slope-intercept form: y = -1x - 7
y = m * x + b,
where:
m is the slope; and
b is the intercept of the y-axis.