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3 years ago

Please answer this correctly

Mathematics

1 answer:

vodka [1.7K]3 years ago

7 0

Answers:

First model

20% vacancy

=========================================================

Work Shown:

25 vacant rooms

125 rooms total

25/125 = (1*25)/(5*25) = 1/5 = 0.20 = 20% vacancy

The model that represents this is the first model since there are 5 blocks, and each block is 25 units wide. So the total width is 5*25 = 125. Each tickmark along the top represents an increment of 20%. So we have 0%, 20%, 40%, 60%, 80% and 100%.

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DanielleElmas [232]

D is the answer
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7 0

3 years ago

1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa

Firdavs [7]

Answer:

$0.0239\frac{in^{3}}{min}$

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

$r'=\frac{1/1000in}{3min}$

which yields:

$r'=\frac{1}{3000}\frac{in}{min}$

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

$V=\pi r^{2}h$

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

$V=\pi r^{2}(6)$

$V=6 \pi r^{2}$

We can now take the derivative to this formula so we get:

$\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}$

Which simplifies to:

$\frac{dV}{dt}=12\pi r \frac{dr}{dt}$

We can now substitute the data provided by the problem to get:

$\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})$

which yields:

$\frac{dV}{dt}=0.0239\frac{in^{3}}{min}$

3 0

3 years ago

1. Question: What is the number of the parking space covered by the car?

GalinKa [24]

Answer: the number of the parking space covered by the car is 87

Step-by-step explanation:

Numbers are assigned to each parking spot. Looking closely at the numbers assigned to each spot, the numbers are inverted and the number on each successive spot differ by one. The numbers are 86, 87, 88, 89, 90, 91

Therefore, the number assigned to the spot where the car would be 87

4 0

3 years ago

Julia and carl buy 2 sandwiches,1 salad,1piece of fruit and 2 drinks for lunch.They give the cashier 20.03.What coins and bills

Sergeeva-Olga [200]

Answer:

They would recieve cents as change.

Step-by-step explanation:

They bought 2 sandwiches, 1 salad, 1 piece of fruit and 2 drinks

Total = 6 items altogether

They gave cashier cash of 20.03

Which means all items are not more 20.03