-25=1/3n - 10
move -10 to the other side
sign changes from -10 to +10
-25+10=1/3n-10+10
-25+10=1/3n
-15=1/3n
multiply both sides by 3/1 to get n by itself
(-15)(3/1)=1/3n(3/1)
cross out 3 and 3 and 1 and 1, divide by 3 and 1
then becomes 1*1*1*1*n=n
(-15)(3/1)==45/1=-45
answer:
n=-45
Answer:
40,000
Step-by-step explanation:
100x200=20,000
20,000x2=40,000
first we have to find the original are, then we know it gets doubled the size so we have to multiply that by 2, then we get 40,000.
The solution is y = (5x - 9) / 3
To solve the equation 5x - 3y = 9 for y, we need to isolate the variable y on one side of the equation.
Step 1: Move the term with y to the other side of the equation.
Subtract 5x from both sides of the equation:
5x - 3y - 5x = 9 - 5x
This simplifies to:
-3y = 9 - 5x
Step 2: Divide both sides by -3 to solve for y:
y = (9 - 5x) / -3
Therefore, the solution for y is:
y = (-9 + 5x) / 3
You can also express the solution as:
y = (5x - 9) / 3
Either form represents the solution for y in terms of x for the given equation.
Learn more about Equations here:
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Answer:
Hope this helped
Step-by-step explanation:
Circumference = 750 m / 3
Circumference 250 m
Circumference = pi * D where pi = 3.1415926 and D is the diameter in meters
Solving for the diameter
250 m = pi * D
D = 250 m / pi
D = 79.58 m is the diameter of the circular field
Solving for the radius
r = 1/2 D where r is the radius of the circular field
r = 39.59 m is the radius of the circular field
2 years
5 years
8 years
9514 1404 393
Answer:
(c) 5 years
Step-by-step explanation:
A graphing calculator shows the function ...
f(t) = 16000(1 -0.35)^t -2000
will be zero for t ≈ 4.83 years. Rounded to the nearest year, the value is expected to be about $2000 after 5 years.
__
Using a scientific calculator, you can rewrite the equation to make use of logarithms.
2000 = 16000(1 -0.35)^t
2000/16000 = 0.65^t
log(1/8) = t·log(0.65)
t = log(0.125)/log(0.65) ≈ 4.827
Devon's car will be about 5 years old when its value is $2000.
_____
Additional comment
We expected to see the same sort of formula for continuous depreciation that we see for continuous growth: 2000 = 16000e^(-rt). The value formula given in the problem statement is a continuous function, but it should not be described as modeling continuous depreciation.
Answer:
C
Step-by-step explanation:
Correct on EDGE 2022