Answer:
Step-by-step explanation:
Answer:
First, we know that the area of a rectangle of width W and length L is:
A = W*L
In the case of Roberto's plan, we can see that the length of the whole rectangle is:
L = 1.5ft + x + 1.5ft = 3 ft + x
And the width is:
W = 3ft + x + 3ft = 6ft + x
Then the area of the whole thing is:
A = (3ft + x)*(6ft + x)
This is what we wanted, a product of two polynomials that represents the area of Roberto's plot.
Now if we subtract the white square (is a square of sidelength x, then its area is A = x*x) we will get the area of the border;
The total area of Roberto's borders is:
Area of the border = (3ft + x)*(6ft + x) - x*x
= 3ft*6ft + 3ft*x + x*6ft + x^2 - x^2
= x*9ft + 18ft^2
Answer:
-4/27
Step-by-step explanation:
first write -4 1/2 as a fraction, which is -9/2. Then you divide by 1/3:
-9/2 / 2/3=
-2/9 * 2/3 =
-4/27
Good luck on your report card!
Answer:
a³ - a² - 3a+ 6
Step-by-step explanation:
we are asked by how much does (a³-2a) exceed (a²+a-6)
in other words, we are being asked to find the difference between the 2 terms above.
Mathematically we are asked to find:
(a³-2a) - (a²+a-6) (expand parentheses by distribution property)
=(a³-2a - a²- a + 6)
= a³ - a² - 3a+ 6 (answer)
Let
x ----> amount deposited at 4.5%
y ----> amount deposited at 5%
we have that
y=2x----> equation A
4.5%=0.045
5%=0.05
so
0.045x+0.05y=1,595 ----> equation B
solve the system
substitute equation A in equation B
0.045(x)+0.05(2x)=1,595
solve for x
0.045x+0.10x=1,595
0.145x=1,595
x=11,000
Find y
y=2(11,000)=22,000
<h2>The amount deposited at 4.5% was $11,000 and the amount deposited at 5% was $22,000</h2>
