Answer:
y = 2 - 
Step-by-step explanation:
results in a parabola (U-shape). Adding a negative in front of it flips the parabola to look like an upside-down U.
The 2 makes it shift up two decimal spots to (0,2).
For this case we can make the following rule of three:
1 cup ----------------> 128 grams
x ----------------------> 192 grams
From here, we clear the value of x.
We have then:
x = (192/128) * (1)
x = 1.5
x = 1 1/2
Answer:
She needs about 1 1/2 cups.
.5
The graph would be bell shaped. So the odds are 50/50
Let's say that in the beginning he weighted x and at the end he weighted x-y, y being the number of kg he wanted to loose.
first month he lost
y/3
then he lost:
(y-y/3)/3
this is
(2/3y)/3=2/9y
explanation: ((y-y/3) is what he still needed to loose: y minus what he lost already
and then he lost
(y-2/9y-1/3y)/3+3 (the +3 is his additional 3 pounts)
(y-2/9y-1/3y)/3-3=(7/9y-3/9y)/3+3=4/27y+3
it's not just y/3 because each month he lost one third of what the needed to loose at the current time, not in totatl
and the weight at the end of the 3 months was still x-y+3, 3 pounds over his goal weight!
so: x -y/3-2/9y-4/27y-3=x-y+3
we can subtract x from both sides:
-y/3-2/9y-4/27y-3=-y+3
add everything up:
-19/27y=-y+6
which means
-19/27y=-y+6
y-6=19/27y
8/27y=6
4/27y=3
y=20.25
so... that's how much he wanted to loose, but he lost 3 less than that, so 23.25
ps. i hope I didn't make a mistake in counting, let me know if i did. In any case you know HOW to solve it now, try to do the calculations yourself to see if they're correct!
Answer:
The answer is that the runner can run 10 miles in 70 minutes.
Step-by-step explanation:
To solve for the number of miles that the runner can run in 70 minutes, start by setting up the information given from the problem in the form of a proportion.
A proportion is an equation which defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios. In a proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
The proportion for this problem will look like 
. (x) will be used as the variable for the number of miles that the runner can run in 70 minutes.
To solve the proportion, start by cross multiplying to form an equation, and the equation will look like 
. Next, simplify the equation, which will look like 
. Then, solve the equation by dividing both sides of the equation by 14, and it will look like 
. The final answer is that the runner can run 10 miles in 70 minutes.
