Expressions have no equal sign and a Equation has a result.
Usually, Δ stands for a difference: if you have two quantities a₂ and a₁, their difference a₂-a₁ can be shortened as Δa.
This said, your formula is not set up correctly: the linear speed can be found with the formula:
v = ω·r
where r is the radius and <span>ω is the angular frequency, which is given by:
</span>ω = Δα / Δt
Substituting this into the one above, you find the correct formula:
<span>v = (Δα / Δt) · r
The problem gives you directly </span>Δα, which is 1/3 rad, because does not say at what angle the point started moving and at what angle it stopped.
Similarly, for the time you have Δt, which is 20 s.
Therefore, plugging in the numbers you get:
v = (Δα / Δt) <span>· r = (1/3 </span>÷ 20) × 10 = 1/6 = 0.167 cm/s
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➷ First identify and assign the variables:
q = number of quarters
d = number of dimes
This is what we know:
q + d = 22
A quarter is 25 cents and a dime is 10 cents
You can write this as:
0.25q + 0.1d = 3.40
Rearrange the first equation for d
d = 22 - q
Substitute this value into the other equation:
0.25q + 0.1(22 - q) = 3.40
Simplify:
0.25q + 2.2 - 0.1q = 3.40
0.15q + 2.2 = 3.4
Subtract 2.2 from both sides:
0.15q = 1.2
Divide both sides by 0.15:
q = 8
Substitute into the first equation:
8 + d = 22
d = 14
Therefore, there are 8 quarters and 14 dimes.
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<em>Answer:840 hours</em>
<em>Step-by-step explanation:You have to Add to get your answer.This is how I got 840:</em>
60+60=120
120+720=840
Your answer is:840 hours
hope this was helpful :)
Answer:
Three equivalent expressions are -3(5-2x), 6x-15, and 3(2x-5).
Step-by-step explanation:
They are equivalent because they equal the same value for x and make the same answer.
