Answer:
Micheal sent 40 messages, Christine sent 20, and Dave sent 11.
Step-by-step explanation:
Christine, Dale, and Michael sent a total of 71 messages
C + D + M = 71
Dale sent 9 fewer messages than Christine
D = C - 9
Michael sent 2 times as many messages as Christine
M = 2C
Plug-in the numbers.
C + C - 9 + 2C = 71
4C - 9 = 71
4C = 80
C = 20
Now, plug in to other equations for other results.
D = (20) - 9
D = 11
M = 2(20)
M = 40
Micheal sent 40 messages, Christine sent 20, and Dave sent 11.
Verify?
40 + 20 + 11 = 71.
The last option: In his recursive formula, he should have the term an−1 instead of −4 to get an=an−1−3.
Answer:
17 1/2 in²
Step-by-step explanation:
a=l×w
or in this case a=h×b
2 1/2×7= 17 1/2 in²
Your question is:

Then, the above formula equate:

Factor out 8 from the numerator we get:

Factorization of the denominator:

Simplifying the numerator and the denominator by (u-9) we get:
Answer:
Area = 2500 square feet is the largest area enclosed
Step-by-step explanation:
A rectangular piece of land borders a wall. The land is to be enclosed and to be into divided 3 equal plots with 200 feet of fencing
Let x be the length of each box and y be the width of the box
Perimeter of the box= 3(length ) + 4(width)

solve for y


divide both sides by 4

Area of the rectangle = length times width



Now take derivative

Set it =0 and solve for x


multiply both sides by 2/9


For any value of x, second derivative is negative
So maximum at x= 100/3
, replace the value of x

Area = 2500 square feet is the largest area enclosed