Answer: the number of hotdogs that were sold is 35
the number of orders of fries is 52
Step-by-step explanation:
Let x represent the number of hotdogs that were sold.
Let y represent the number of orders of fries.
You sold a total of 87 hotdogs and orders of fried combined. This means that
x + y = 87
Each hot dog costs 1.50 and each order of fries costs 0.50. At the end of the night you made a whopping $78.50! This means that
1.5x + 0.5y = 78.5 - - - - - - - - - - -1
Substituting x = 87 - y into equation 1, it becomes
1.5(87 - y) + 0.5y = 78.5
130.5 - 1.5y + 0.5y = 78.5
- 1.5y + 0.5y = 78.5 - 130.5
- y = - 52
y = 52
Substituting y = 52 into x = 87 - y, it becomes
x = 87 - 52
x = 35
If it is ....
The coefficient of x² is (( 3 ))
& the coefficient of x is (( -2 ))
_________________________________
If it is .....
The coefficient of x² is (( zero 0 ))
& the coefficient of x is (( 1 ))
Answer:
Get the perimeter of the each shape and add it all up to get the total fencing material required. 2 square flower beds = 2 x 4a = 8a 1 rectangular play ground = 2l + 2w total fencing material = 8a + 2l + 2w
Answer: C. (5, -2)
<u>Step-by-step explanation:</u>
Graph each equation:
Equation 1: y < (1/2)x - 3 --> m = (1/2) b = -3, dashed line, shaded below
Equation 2: y > -2x + 6 --> m = -2 b = 6, dashed line, shaded above
or plug the values into the equations. It must be TRUE for both equations:
y < (1/2)x - 3 y > -2x + 6
(7, -8) True False
(2, -3) True False
(5, -2) True True <-- This works!
(4, 1) False True
<h3>
Answer:</h3>
$3,717.14
<h3>
Step-by-step explanation:</h3>
Compound interest is the interest on the principal funding as well as the interest itself.
Compound Interest Formula
Compound interest can be solved by plugging known values into a formula.
In this formula, the variables stand for different values.
- A = total amount
- P = principal amount
- r = rate as a decimal
- n = times compounded per time period
- t = time
So, for this question, we can plug in the values we are given and solve for P.
Identifying Known Values
First, let's find the exact numbers we are going to plug in.
- 6000 is the final amount we want, so A = 6000.
- 6%, the rate, is 0.06 as a decimal, so r = 0.06.
- Since interest is compounded each month per year, n = 12.
- The total time is 8 years, so t = 8.
Solving For P
Now we can plug all of these values in.
First, simplify the values within the parentheses and in the exponent through arithmetic.
Next, divide both sides by
*Note that the answer has been rounded to the nearest hundredth.
This means that you would need to deposit $3,717.14 into the account to have $6,000 in 8 years.