Answer:
177 Students
176 Adults
Step-by-step explanation:
Adult - (A) $5
Student - (S) $3.50
Equation 1: A+S = 353 tickets
Equation 2: 5A + 3.50S = $1500
Sub equation 1 into 2:
5A + 3.50(353 - A) = 1500
Multiply: 5A + 1235.50 -3.50A =1500
Subtract 1235.50 and -3.50A from both sides: 1.50A = 264.50 and then divide:
264.50/1.50 = 176 Adults
Sub into equation 1:
176 +S = 353
Solve: 353 - 176 = 177 Students
Check: 5(176) + 3.50(177) = $1500
1499.5 rounded = 1500 = 1500 ✔
I hope this helped!
Answer:
(x+4)(6x^2 - 7)
Step-by-step explanation:
Focus on the first 2 terms first and on the second 2 terms last:
6x^3 + 24x^2 = 6x^2(x+4)
-7x-28 = -7(x+4)
We see that the factor (x+4) is common to both pairs: common to the first 2 terms and common to the last 2 terms.
Thus,
6x³ + 24x² -7x -28 = (x+4)(6x^2 - 7(x+4)
Factoring out x+4, we get (6x^2 - 7), and so 6x³ + 24x² -7x -28 in factored form is (x+4)(6x^2 - 7).
Answer:
The overall change is $1903.22
Step-by-step explanation:
Let us approach this problem step wise
1.Firstly let us calculate all 12 withdrawal of $175.25
12*$175.25= $2103
2. Let us calculate all the deposits made 17* $235.66 = $4006.22
With these figures we can calculate the overall changes as
= $4006.22-$2103= $1903.22
Answer:
The least amount of fabric are 22 square feet
Step-by-step explanation:
we know that
The surface area of a rectangular prism is given by the formula

where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
Let
L ---> the length pf the prism
W ---> the width of the prism
H ---> is the height of the prism
Let

Find the area of the base

Find the perimeter of the base

Find the surface area

therefore
The least amount of fabric are 22 square feet
0.0044 as a percentage0.44%