11
(9, 18, 27, 36, 45, 54, 63, 72, 81, 90 and 99)
Those numbers divisible by 9 are the multiple of 9; thus need to know how many multiples of 9 there are between 1 and 100:
100 ÷ 9 = 11 r 1 ÷ last multiple of 9 is 11 × 9 (= 99)
→ There are 11 - 1 + 1 = 11 numbers between 1 and 100 which are divisible by 9.
(They are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99.)
K=2, because the bottom of the parabola shifted to the x value 2 from 0.
hope that helps
Answer:
About 95 miles
Step-by-step explanation:
Let's set up a proportion using the following set up:
miles / gallons = miles / gallons
We know the car can travel 38 miles on 2.4 gallons of gas.
38 miles / 2.4 gallons = miles/ gallons
We don't know how far the car can travel on 6 gallons. Therefore, we can say the car travels x miles on 6 gallons of gas.
38 miles / 2.4 gallons = x miles /6 gallons
38/2.4=x/6
We want to find x (miles for 6 gallons). Therefore, we must isolate x.
x is being divided by 6. The inverse of division is multiplication. Multiply both sides by 6.
6*(38/2.4)=(x/6)*6
6*(38/2.4)=x
6*15.8333333=x
94.9999998=x
Let's round to the nearest whole number. The 9 in the tenth place tells us to round up.
95 ≈x
x ≈95 miles
The car can travel about 95 miles on 6 gallons of gas.
1. We assume, that the number 432 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 432 is 100%, so we can write it down as 432=100%. </span>
<span>4. We know, that x is 45% of the output value, so we can write it down as x=45%. </span>
5. Now we have two simple equations:
1) 432=100%
2) x=45%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
432/x=100%/45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 45% of 432
432/x=100/45
<span>(432/x)*x=(100/45)*x - </span>we multiply both sides of the equation by x
<span>432=2.22222222222*x - </span>we divide both sides of the equation by (2.22222222222) to get x
<span>432/2.22222222222=x </span>
<span>194.4=x </span>
x=194.4
<span>now we have: </span>
<span>45% of 432=194.4</span>
