Answer:
She will need 3.5 pounds of cheese to make the 28 casseroles
Step-by-step explanation:
In this question, we are tasked with calculating the amount of cheese in pounds needed to make 28 casseroles.
In the revised recipe, she intends using 1/2 of what is supposed to be used in the original recipe. Mathematically, since each original casseroles is meant to take 4 ounces of cheese, the revised recipe taking half will have 1/2 × 4 = 2 ounces of cheese per casserole
Now for 28 casseroles based on the revised recipe, the total amount of cheese to be used mathematically is equal to 28 × 2 = 56 ounces of casserole
The questions asks that our answer be in pounds
Mathematically, 1 ounce = 0.0625 pounds
Hence, 56 ounces of casseroles will be 56 × 0.0625 = 3.5 pounds of cheese
<h2>
Explanation:</h2>
Here we have the following expression:
So we can rewrite this as follows:
So this is an arithmetic series whose general form is given by:
Where:
So, for some n-values we have:
From this information, the diagram that best represents the given expression is shown below.
Answer:
m = 19/14 so the third point is (8, 19/7).
Step-by-step explanation:
If they are co-linear then the the slope will be equal.
The slopes of the lines are:
(difference in y coordinates) / (difference in corresponding x coordinates)
Slope between the first 2 points = (-3-1) / (-2-5) -4 / -7
= 4/7.
So if the 3 points are co-linear:
4/7 = (2m - -3) / (8 - -2)
4/7 = (2m + 3 / 10
7(2m + 3) = 40
14m + 21 = 40
14m = 19.
m = 19/14.
X is horizontal while y is vertical
2x + y = 8
3x - y = 17
---------------add
5x = 25
x = 25/5
x = 5
2x + y = 8
2(5) + y = 8
10 + y = 8
y = 8 - 10
y = -2
solution is (5,-2).....this is consistent and independent because it has one solution
