The smallest county is 129 square miles large.
Step-by-step explanation:
Let,
Smallest county = x
Largest county = y
According to given statement;
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.
y = x+6064 Eqn 1
The size of the largest county is 48 times the size of the smallest county plus one square mile.
y = 48x+1 Eqn 2
As Eqn 1 and Eqn 2 are both equal to y, therefore,
Eqn 1 = Eqn 2
Dividing both sides by 47
The smallest county is 129 square miles large.
Keywords: linear equation, substitution method
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According to the question,
Let,
"n" represent the number of miles semir walked.
"y" represent the number of miles sarah walked.
Now, according to the question,
y = 2n - 5 ........................this is your equation
Also,
the question states, each of them collect $18 in pledges for every miles walked.
Given,
Sarah collected $450
Now,
Using unitary method,
Sarah collects $18 for 1 mile
Sarah collects $1 for (1 / $18) mile
Sarah collects $450 for (1 / 18) * 450 mile
= 25 miles
So, Sarah walks 25 miles.
Now,
Taking equation,
y = 2n - 5
Since, y is the no. of miles sarah walked, we can write 25 in place of "y" So,
(25) = 2n - 5
25 + 5 = 2n
30 = 2n
30 / 2 = n
15 = n
Since, "n" is the no. of miles that semir walked, Semir walked 15 miles.
Answer:
4
Step-by-step explanation:
Answer:
$320
Step-by-step explanation:
From simple interest formular
A=P(1+int) where A is amount payable, P is principal amount borrowed and int is interest gained
int=Rt where R is rate of interest in decimal form, t is duration
The rate of 10% converted to decimal is 10/100=0.1
Substituting P for $3200, R for 0.1 and t for 1 year
A=$3200(1+(0.1*1))=$3200*(1+0.1)=3200*1.1=$3520
To find the interest, it's A-P hence $3520-$3200=$320
Therefore, interest owed is $320
Step-by-step explanation:
x - 5x = -74 - 14
-4x = -88
x = 22
