So for every one cup of pretzels (1p)
You have three cups of chex (3c)
The ratio between pretzels and chex is 1p:3c
Thus, changes in 1 is proportional with changes in 3.
You need a total of 12 cups of party mix. The sum of the ratio 1 cup of pretzels and 3 cups of chex is 4.
So you would need 3 cups of pretzels and 9 cups of chex for the ratio to equal a sum of 12.
Thus the answer is 3p:9c
Answer:
Jesse - 150 miles per hour.
Step-by-step explanation:
On the graph, it shows that the rise is 140 and the run is 1. 140/1 is 140, making the slope for Khalid is 140. The equation (y = 150x) shows that the slope is 150 (y = mx). Since 150 is greater than (>) 140, Jesse's train is more faster than Khalid since she is moving at 150mph rather than 140mph.
Also, is this for Pearson Realize?
The answer is .5 because to set it up you write 4.5/9 and then n/1 so 4.5 times 1 = 4.5 then you multiply 9 times n so it would be 9n, so then you didvide 9 by both sides so n=.5 so the unit rate is 1: .5
NOTE THIS IS AN EXAMPLE:
Let t = time, s = ostrich, and g = giraffe.
Here's what we know:
s = g + 5 (an ostrich is 5 mph faster than a giraffe)
st = 7 (in a certain amount of time, an ostrich runs 7 miles)
gt = 6 (in the same time, a giraffe runs 6 miles)
We have a value for s, so plug it into the first equation:
(g + 5)t = 7
gt = 6
Isolate g so that we can plug that variable value into the equation:
g = 6/t
so that gives us:
(6/t + 5)t = 7
Distribute:
6 + 5t = 7
Subtract 6:
5t = 1
Divide by 5:
t = 1/5 of an hour (or 12 minutes)
Now that we have a value for time, we can plug them into our equations:
1/5 g = 6
multiply by 5:
g = 30 mph
s = 30 + 5
s = 35 mph
Check by imputing into the second equation:
st = 7
35 * 1/5 = 7
7 = 7
as you already know, the equation y=-7/4x-2, is already in slope-intercept form and thus its slope is the coefficient of the "x", namely -7/4.
parallel lines have the same exact slope, so a parallel line to this one will also have a slope of -7/4, and it passes through 4,2,
