Set up a system of equations.
0.10d + 0.25q = 39.25
d + q = 250
Where 'd' represents the number of dimes, and 'q' represents the number of quarters.
d + q = 250
Subtract 'q' to both sides:
d = -q + 250
Plug in '-q + 250' for 'd' in the 1st equation:
0.10(-q + 250) + 0.25q = 39.25
Distribute 0.10:
-0.10q + 25 + 0.25q = 39.25
Combine like terms:
0.15q + 25 = 39.25
Subtract 25 to both sides:
0.15q = 14.25
Divide 0.15 to both sides:
q = 95
Now plug this into any of the two equations to find 'd':
d + q = 250
d + 95 = 250
Subtract 95 to both sides:
d = 155
So there are 95 quarters and 155 dimes.
This is the concept of exponential growth, To get the number of bacteria after 10 days we use the formula:
f(t)=ae^(kt)
where;
a=initial number=5000
k=constant of proportionality= 0.04
t=time=10 days
f(t)=future number
thus the number of bacteria in 10 days will be:
f(t)=5000e^(0.04*10)
f(t)=7,459.12
The answer is 7,459.12
Answer:
They must meet at least three requirements like those in the explanation.
Step-by-step explanation:
-The other angles are also corresponding for example: B is congruent to E and C to F.
-
Its sides are proportional to each other
-These two triangles can have the same shape no matter what size each one is
The solution is x=1 and y=-2
Further explanation:
Given equations are:
Multiplying equation no. 1 with 2 will give us:
Eqn 3
From equation no 2:
Putting the value of y in eqn 3
The solution is x=1 and y=-2
Keywords: Linear equations, Solution set
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Answer:
- 3
Step-by-step explanation:
