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Molodets [167]
3 years ago
5

A new freezer costs $500 plus $0.20 a day to operate. An old freezer cots $20 plus $0.50 a day to operate. After how many days i

n the cost of operating each freezer equal? Solve by using row reduction
Mathematics
1 answer:
djyliett [7]3 years ago
6 0
First we write equation for new freezer where x will be number of days operated and than equation for second freezer where x will have same function and we set those 2 equations to be equal. after that all we need to do is to solve for x

500 + 0.2*x = 20 + 0.5*x
480 = 0.3*x
x = 480/0.3 = 1600

The answer is 1600 days
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How can you use ratios to convert units of measurement
Lerok [7]
So exg
feet to inches or vice verca

so 12in=1ft
so
3 ft to in
conversion factor 12in/1ft
multiply 3 with 12in/1ft
ft units cancel
3 times 12=36=answer

convert 48 in to feet
1 ft=12 in
conversion factor 1ft=12in
multiply 48in with 1ft/12in
in cancel
48/12=4 ft
5 0
3 years ago
The density of gold is about 20 g/ cm^3 . The density of sand can be estimated at 2.5 g/cm^3. The gold statue can be modeled as
pantera1 [17]

Answer:

The mass of the bag of sand must be equal to  m=12,000\pi\ g

Step-by-step explanation:

<u><em>The complete question is</em></u>

In the opening scene of the movie Raiders of the Lost Ark, Indiana Jones replaces a golden statue with a bag of sand. The platform on which the statue is placed is designed to detect the mass of the statue. If the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues.

The density of gold is about 20 g/ cm^3 . The density of sand can be estimated at 2.5 g/cm^3. The gold statue can be modeled as a cylinder with height 25 cm and radius 8 cm.

In terms of pi, what is the mass of sand Indiana Jones needs to avoid triggering the mechanism?

step 1  

Find the volume of the gold statue

The volume of a cylinder is equal to

V=\pi r^{2}h

substitute the given values

V=\pi (8)^{2}(25)

V=600\pi\ cm^3

step 2

Find the mass of gold

Remember that the mass is equal to multiply the density by the volume

so

m=(20)600\pi\\m=12,000\pi\ g

step 3

what is the mass of sand Indiana Jones needs to avoid triggering the mechanism?

we know that

The mass of the bah of sand must be equal to the mass of the statue

therefore

The mass of the bag of sand must be equal to

m=12,000\pi\ g

5 0
3 years ago
Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of air and water w
chubhunter [2.5K]

12A+8W > 343 represents the number of minutes the robot filters air A and water W to filter more than 343 liters of air and water.

If the robot filters air for 20 minutes and water for 15 minutes, plugging A as 20 and W as 15, let us check if the equation is true or not.

Checking left side:

12A + 8W = 12(20) +8(15)

240+ 120 = 360

Checking right side: 343

12A+8W > 343

360>343

True.

So the robot meets the first expectation.

Let us check for second equation:

3A+4W < 49

Left side : 3A +4W = 3(20) +4(15) = 60 +60 =120

Right side is 49

comparing left and right side:

3A+4W < 49

120<49

False.

So the robot does not meet the second expectation.

5 0
3 years ago
Read 2 more answers
I need this please help me
kaheart [24]

Answer:

C. Reflection over x- axis, down 6 right 3

Step-by-step explanation:

6 0
3 years ago
Please answer asap. Will mark brainliest!!!
suter [353]

I started this and got distracted and never finished and it timed out. Focus Dean.

It's not the best graph; I assume the origin is the apparent origin and the y axis numbers go with the line above them.

This graph is M(V), M(V) is mass in kg of bucket with water volume V in liters

a) the mass of an empty bucket

That's the y intercept, M(0), eyeballing it around .7 kg

Answer: .7 kg

b) the mass of the bucket containing 1 liter of liquid

That's M(1), looks like 1.3 or so

Answer: 1.3 kg

c) the mass of one liter of liquid

That's the difference, M(1)-M(0), about .6 kg. We can get a better estimate from a longer slope, say (.5,1) to (3,3), (3-1)/(3-.5) = .8 kg.

Answer : 0.8 kg

d) the volume of the liquid in the bucket, if the total mass of bucket with the liquid is 3 kg.

Solve M(V)=3

That has a solution from the graph V=3.

Answer: 3 liters

8 0
3 years ago
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