The dimensions of the house should be 7 m by 13 m.
If the house is to be centered, we will take the same amount from the width as we do from the length of the lot for the dimensions. This gives us (10-x) and (16-x) as the dimensions.
The area of a rectangle is found by multiplying the length and width:
(10-x)(16-x) = 91
Multiplying the binomials we have:
10*16 - x*10 - x*16 -x*(-x) = 91
160 - 10x - 16x --x² = 91
160-10x-16x+x² =91
Combine like terms:
160-26x+x²=91
Rewrite this in standard form:
x²-26x+160=91
Subtract 91 from both sides:
x²-26x+160-91 = 91-91
x²-26x+69 = 0
Factoring this, we look for factors of 69 that sum to -26. -23*-3 = 69 and -23+-3 = -26, so:
(x-23)(x-3) = 0
Using the zero product property we know that either x-23=0 or x-3=0, so x=23 or x=3.
x was the amount we take off of the width and length of the lot; if we took 23m off of it, 10-23 gives us a negative amount, which is not realistic. This means both the width and length are subtracted by 3.
10-3 = 7 and 16-3 = 13.
These are the dimensions of the house.
Answer:
0.05
Step-by-step explanation:
We know that the number of marbles is represented by n. We also know that as the number of marbles increases, the volume of water W(n) decreases, since 0.05n is subtracted.
Since 0.05n is subtracted from 32, then 32 must be the original amount of water used if there are no marbles.
Since the amount of water decreases by 0.05 times the number of marbles, the volume of each marble must be 0.05.
<u>Answer:</u>
Jacara and Jurnee have $ 710000 and $ 390000 respectively as amounts.
<u>Step-by-step explanation:</u>
Let, Jacara's and Jurnee's amounts be $ x and $ y respectively.
According to the question,
20 % of the total amount = $ 220,000
So, total amount = $
=$ 1100,000
According to the question,
x + y = 1100,000 -----------(1)
and, x = 
-----------(2)
from (1), x = 1100,000 - y--------------(3)
Deducting (2) from (3),
⇒ y = 
⇒ y = 390000-------------------(4)
from (1) and (4),
x = 1100,000 - 390000
= 710000---------------(5)
Answer:
A
Step-by-step explanation:
Move the entire triangle left 6 units.
