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
Answer:
y = -6x - 5
Step-by-step explanation:
To find the equation using the point-slope equation, we need the slope and the y-intercept of the line
<u>Finding the slope of the line:</u>
We will calculate the slope between these 2 points: (-1 , 1) and (0 , -5)
Slope = Rise / Run
Rise of the line = y1 - y2
Rise = 1 - (-5)
Rise = 1 + 5
Rise = 6
Run of the line = x1 - x2
Run = -1 - 0
Run = -1
Slope of the line:
<em>Slope = Rise / Run</em>
<em>Slope = 6 / -1</em>
<u>Slope = -6 </u>
<u></u>
<u>Finding the y-intercept:</u>
y-intercept of a line is the y-ordinate of the point where the line intersect the y-axis
From the graph, we can see that the line intersects the y-axis at (0 , -5)
y-coordinate of the point = -5
<u>y-intercept = -5</u>
<u></u>
<u>Equation of the line:</u>
This is the general formula of the slope-intercept:
y = mx + b (where m is the slope of the line and b is the y-intercept )
Replacing the variables
y = (-6)x + (-5)
y = -6x - 5
Answer:
The two numbers are 52 and 12.
Step-by-step explanation:
x+y=64
x=16+3y
Now, substitute the second equation into the first one.
16+3y+y=64
16+4y=64
4y=48
y=12
Substitute 12 into one of the equations in order to find x.
x=16+3(12)
x=16+36
x=52
8 yards is your answer
every 3 feet is one yard so just add it up
Answer:
- Interests charged for 4 years: $80
- Total amount to pay back:$480
Step-by-step explanation:
- To know the future value of an specific amount that is borrowed from a bank we use the following equation:
, where FV is future value, PV present value, n the amount of periods and i the interest rate. - In this particular case, the present value of the loan is $400, n=4 (4 years), i=5%. Then the future value equals:
. Then FV= $480, which is the total amount of money she would have to return in 4 years. - The interest paid can be calculated as the total amount paid ($480) minus the inicial loan ($400), which means that total interests paid= FV- PV= $80.
