Answer:
x + y = 64
x + 10 = y
Step-by-step explanation:
Since it isn't asking for the solutions, I won't solve.
let y represent drama students, and x represent the yearbook students.
We know that DS (drama students) plus YS (Yearbook students) equals 64 students in total. To write this mathematically you would write x(YS)+ y(DS) = 64 (Students in total) except just <em><u>x + y = 64</u></em>.
The second part of this system explains what y is.
We know that the drama club has 10 more students than yearbook students, so YS plus 10 equals the amount of DS. To write this mathematically you would write <em><u>x + 10 = y</u></em>.
Combine the two systems by writing
x + y = 64
x + 10 = y
<em>P.S. Let me know if you need the system solved.</em>
Answer:
x>14
Step-by-step explanation:
X-3> 11
Add 3 to each side
X-3+3> 11+3
x > 14
The hole is open at 14 since it is greater than
( it would be closed if it were ≥) The line goes to the right since it is greater than
Answer:
Right Angle
Step-by-step explanation:
Not completely sure, I did this unit months ago.
2l+2w=24
l=3+w
The first equation comes from the perimeter formula. Since it is a rectangle, there are two lengths and two widths, which must all be added to get the perimeter. The second equation shows that the length is equal to the width plus three. In order to solve this equation, the substitution method should be used, since the one equation is already set equal to one of the variables (L)
2l+2w=24
l=3+w
2(3+w)+2w=24
Use distributive property to get rid of the parentheses
2(3+w)+2w=24
2(3)+2(w)+2w=24
6+2w+2w=24
Simplify like terms on the left side of the equation
6+2w+2w=24
6+4w=24
Subtract six from each side so that all of the w's are on one side
6+4w-6=24-6
4w=18
Divide each side by four to find the value of one w
4w/4=18/4
w=4.5
Plug 4.5 into the one equation to find the value of l
l=3+4.5
l=7.5
Put the numbers into the first equation and simplify:
2(7.5)+2(4.5)=24
15+9=24
24=24
So the length would be 7.5 inches, and the width would be 4.5 inches
<u>Answer:</u> $42546.9 will be the earning in 4 years.
<u>Step-by-step explanation:</u>
The equation for compound interest follows:

where,
A = total amount
P = Principle amount
r = rate of interest
n = number of years
We are given:
Earnings earned per month = $3250
Earnings earned per year = ($3250 × 12) = $39000
The values become:

Putting values in above equation, we get:

Hence, $42546.9 will be the earning in 4 years.