Answer:
second to the longest one is right
Step-by-step explanation:
Answer:
Part 1
If the actual park is 250 yards LONG, I think it means that its LENGTH is also 250 yards
Part 2
It's a proportion:
5=x
7=250
5*250:7=178.6 yards
The area is 178.6 yards wide and 250 yards long
Step-by-step explanation:
Answer:
Interest = $20
Amount due = $120
Step-by-step explanation:
This is a Simple Interest problem. Simple interest is given as:
I = (P * R * T) / 100
Where I = interest
P = principal or amount loaned
R = rate of interest
T = time elapsed
Ted borrowed $100 from 2 years at a 10% interest rate.
This means that P = $100, R = 10%, T = 2 years.
Hence, the interest will be:
I = (100 * 10 * 2) / 100
I = 2000 / 100
I = $20
The interest after two years will be $20.
Therefore, the total amount due at the end of the loan is:
A = P + I
A = 100 + 20 = $120
The amount due is $120.
A: How many text messages would you have to send or receive in order for the plans to cost the same each month?
Answer: 100
Step-by-step:
$.20x100=$20
$40+$20=$60
b: If you send or receive an average of 50 texts each month, which plan would you choose?Why?
Answer: A
Because $.20x50=$10
$40+$10=$50
Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
