Answer:
*Assuming that the question should read '8 years less than 3 times Danielle's age'*
Equation: 3a - 8 = 34, where 'a' = Danielle's age
Danielle's age (a) = 14
Step-by-step explanation:
Using key words and phrases from the problem, we can find Danielle's age by setting up an equation to solve for 'a'.
Since Danielle's aunt is '8 years less than 3 times Danielle's age' her aunt's age can be written as: 3a - 8. We also know her aunt is 34. So, the equation becomes:
3a - 8 = 34
Add 8 to both sides: 3a - 8 + 8 = 34 + 8 or 3a = 42
Divide both sides by 3: 3a/3 = 42/3
Solve for a: a = 14, so Danielle's age is 14 years old.
Answer:
11 and 13
Step-by-step explanation:
the first (smaller) odd integer can be called x
the second (larger) odd integer can be called x+2
2(x+2)+x = 37
<em>[simplify . . .]</em>
2x+4+x = 37
3x+4 = 37
<em>[subtract 4 from each side]</em>
3x = 33
<em>[divide each side by 3; find smaller odd integer]</em>
x = 11
<em>[add 2 to find larger odd integer]</em>
x+2 = 13
Answer:
√3/10 = 0.1732
Step-by-step explanation:
√15 / 5√20 = (√5 x √3) / 5(√5 x √4) = √3 / (5 x√4) = √3 / 10
Step-by-step explanation:
The equation that is given is only for the specific place of that object. To find the velocity, you need to take the derivative of the equation. This will give you:
Now, to find the average velocity of this object, plug in the values given to you. It's between the time interval [1, 2] so these are the two numbers you'll plug into the velocity equation. Finding this average is like finding any other average.
So
Average velocity is 0.5 sec
To find instantaneous velocity just find the velocity at time one. Think about the name "instantaneous velocity," it's the velocity in that <u>instant</u>.
We already found this, so I don't need more work (it's displayed above).
The instantaneous velocity when 
is 2.5 sec.
