First, solve for the volume of the ball bearings by the equation,
V = πd³ / 6
Substituting the value of diameter given,
V = π(1 cm)³ / 6 = π/6 cm³ = 0.5236 cm³
Divide the amount of material given by this volume,
n = 5.24 cm³ / <span>0.5236 cm³ = 10
Therefore, there are 10 ball bearings that may be formed.</span>
2x=10
Divide both sides by 2 so x=5 (Because 10 divided by 2 is 5 and 2x turns into just x)
(A) Bella's TV ratio of sides: 36"/27" = 1.333...
Lenny's: 52"/29.25" = 1.777...
Bella's and Lenny's TVs are NOT similar - their side ratios are different. Bella's is 4:3 while Lenny's is close to 16:9.
(B) Bella's TV has an exact ratio of 4:3 (36/27=4/3) and so is the older type.
Lenny's TV has a ratio of 52"/29.25". Divide both 52 and 29.25 by 3.25 to get 16/9, or 16:9. So Lenny's is the newer type.
Based on the given problem above, here is the solution.
Given: Iris's charge: 470
1 1/5 times her fee: additional hourly rate
? = fee for an hourly rate
What we need to do first is divide 470 by 7 hours, so 470/7 = 67.143/hour.
So Iris's per hour is 67.143 without the additional rate.
Now, let's look for the 1 1/5 of 470. 1 1/5 is equal to 1.2. So 470 x 1.2 = 564.
To get the total fee of her hourly rate, we add 67.143 and 564, so Iris's hourly rate then is 631.143 or 631.14.
Answer:
15
Step-by-step explanation:
Regina: 6.5h
Phil: 3(2.5h+5)
When you plug in the number of hours, you get the weekly pay. In order to get the same weekly pay, set the equations equal to each other.
6.5h=3(2.5h+5), This is an equation to find the number of hours it will take for them to get equal pay. Now, simplify.
6.5h=7.5h+15
-h=15
h=-15, -15 hours is your answer. You can't work negative hours though which means that Regina and Phil will never be able to make the same amount.
Phil has a higher rate and starting value, this means that Regina will never make the same amount working the same hours.
