Answer:
Convert to find the equivalent rate. 972 cups minute = quarts minute
if there is 4 cups in a quart the answer would be:
972 / 4 = 243
Step-by-step explanation:
Answer:
I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.
Step-by-step explanation:
We are given the points (-2, -4) and (-1, -1)
We need to find the slope.
The equation to do so is y2 - y1 / x2 - x1
lest say:
-2 is x1
-4 is y1
-1 is x2
-1 is y2
-1 - (-4) / -1 - (-2)
3/1 = 3
slope (m) = 3
We already know the y-intercept is 2
The equation of a line is y = mx + b
For this problem we just have to substitute what we already know.
y = (slope)x + y-intercept
y = 3x + 2
*TIP*
If the y-intercept is negative, let's say: b = -5 (using slope 8)
the equation will be y = 8x - 5
Hope this helps. I wish you all the best. :)
Answer:
Step-by-step explanation:
(
)
(Applying limit)
We have FIVE cats that each ate 1/4 cup of canned food.
Then, the five of them together ate:
5 times 1/4 cup This in mathematical expression is a profduct of an integer value (5) times the fraction (1/4) which we know how to multiply based on the problems we solved a few minutes ago:
5 * 1/4 = 5/1 * 1/4 = (5 * 1) / (1 * 4) = 5/4 cups
This answer can also be written as a MIXED number given that 5/4 is an IMPROPER fraction (a fraction with numerator larger than the denominator)
5/4 = 1 1/4
Not sure what answer your teacher would prefer. It depends on whether he/she wants you to use fractions or mixed numbers.
Let the two integers be x and x + 1, then
2(x + 1) + 9 = 3x
2x + 2 + 9 = 3x
3x - 2x = 11
x = 11
Therefore, the integers are 11 and 12.