Solving Linear Equations Unit Test 16 of 20Items Item 16 Gold has a density of 0.70 pounds per cubic inch and copper has a density of 8.96 grams per cubic centimeter. How much will 1 cubic foot of each metal weigh? 1 ft3 = 1728 in3, 1 ft3 = 28,316.8 cm3, and 1 lb=453.5 g. Use the equation rho=mV. (1 point) The gold will weigh 4063.4 pounds and the copper will weigh 12,096 pounds. The gold will weigh 559 pounds and the copper will weigh 1209.6 pounds. The gold will weigh 12,096 pounds and the copper will weigh 4063.4 pounds. The gold will weigh 1209.6 pounds and the copper will weigh 559 pounds.

Answers

Answer 1

Answer:

1 ft³ of gold will weigh 1209.6 pounds

1 ft³ of copper will weigh 559 pounds.

Step-by-step explanation:

We know the formula for:

Density = Mass/Volume

Hence, making mass the subject of the formula:

Mass = Density × Volume

From the question we are told:Volume of each metal = 1 ft³

1) Metal: Gold

Density of Gold = 0.70 pounds per cubic inch(lb/in³)

We convert the Volume of gold from ft³ to in³

The Volume of gold given in the question = 1 cubic foot = 1 ft³

1 cubic foot = 1728 cubic inches

Hence, the volume of Gold = 1728 in³

Mass of Gold = Density of Gold × Volume of Gold

Mass of Gold = 0.70Ib/in³ × 1728 in³

= 1209.6 lb(pounds)

2) Metal : Copper

Density of copper given in the question = 8.96 grams per cubic centimeter

Ib = pounds

We convert this density in g/cm³ to ib/in³

453.5g = 1 Ib

8.96g = a Ib

Cross Multiply

= 453.5g × a Ib =8.96g × 1 Ib

= a Ib = 8.96g × 1 Ib/453.5g

a Ib = 0.0197574421 Ib

Density of Copper = 0.0197574421 Ib/cm³

28,316.8 cm³ = 1 ft³

1 cm³ = b ft³

b ft³ = 1 cm³ × 1 ft³/28,316.8cm³

b ft³ = 0.0000353147 ft³

1 cm³ = 0.0000353147 ft³

We have to convert the density of Copper from Ib/cm³ to Ib/ft³

0.0197574421 Ib/cm³ = 0.0197574421 Ib/0.0000353147 ft³

559.46793026 Ib/ft³

Volume of copper = 1ft³

Mass = Density × Volume

Mass of copper = 559.46793026 Ib/ft³ × 1 ft³

= 559.46793026 Ib or pounds

≈ 559 pounds

Therefore , the weight of gold is 1209.6 pounds and the weight of copper will be 559 pounds.

Answer 2

Answer:

Gold

Density of Gold = 0.70 pounds per cubic inch

1 cubic foot = 1728 cubic inches

Hence, the volume of Gold = 1728 in³

Mass of Gold = Density of Gold × Volume of Gold

Mass of Gold = 0.70Ib/in³ × 1728 in³ = 1209.6 lb(pounds)

2) Metal : Copper

Density of copper given in the question = 8.96 grams per cubic centimeter

We convert this density in g/cm³ to ib/in³

453.5g × a Ib =8.96g × 1 Ib = 8.96g × 1 Ib/453.5g = 0.0197574421 Ib

Density of Copper = 0.0197574421 Ib/cm³

Volume of copper = 1ft³

Mass = Density × Volume

Mass of copper = 559.46793026 Ib/ft³ × 1 ft³ = 559.46793026 Ib or pounds

≈ 559 pounds

The weight of gold is 1209.6 pounds and the weight of copper will be 559 pounds.


Related Questions

Ameezy has four times as many water bottles
as Beetle does. If the two of them have a
combined total of sixty bottles, how many
more bottles does Ameezy have than Beetle?

Answers

Answer:

30

Step-by-step explanation:

15 x 4 = 60, which means that Beetle has 15 bottles of water and that Ameezy has bottles.  45 - 15 = 30.

Hope this helps :)

Answer:

36 bottles.

Step-by-step explanation:

If you wrote them out, like 1 over 4, 2 over 8, and added up their totals at the bottom, you would eventually reach 60. The last column has 12 over 48, so we subtract 12 from 48, which gives us 36. So the answer is 36 bottles.

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what is the perimeter of rectangle JKLM

Answers

Find lengths by reasoning shortcut

JK=6-1=5unitsJM=6-3=3units

Its a rectangle

Perimeter:-

2(JK+JM)=2(5+3)=2(8)=16units

Answer:

Perimeter = distance around a two-dimensional shape

⇒ Perimeter of a rectangle = (2 × width) + (2 × length)

From inspection of the diagram:

width = 3 unitslengths = 5 units

⇒ Perimeter of the rectangle = (2 × 3) + (2 × 5)

                                                 = 6 + 10

                                                 = 16 units

can anyone help me with this one

Answers

Answer:

180+216= 396cm²

please mark brainliest♡♡

Step-by-step explanation:

First separate the shape into two rectangular

27 - 9= 18

18×10= 180cm²

9×24= 216c m²

Answer:

396 cm²

Step-by-step explanation:

Area = 10 x (27 - 9) + 24 x 9

= 10 x 18 + 24 x 9

= 20 x 9 + 24 x 9

= 44 x 9

= 396 cm²

A line passes through the points
(4,3) and (9, -7).
What is the equation for the line in
slope-intercept form?

Answers

Answer:

y=-2x+7

enter the point into point slope form to find the slope and then use one of the points in point slope form  and rearrange it to have y by itself

Which deal is better? Pizza A is 10-inch diameter for $15 or Pizza B is a 12-inch diameter for $27? Which do you get more pizza per dollar spent?​

Answers

Answer:

the answer is pizza b

Step-by-step explanation:

first i did 15 divided by 10=1.50

then i did 27 divided by 12=2.25

then i did 1.25%of 12=0.15

then 2.25 of 12=0.27

you get more pizza per dollar with pizza b

Find the value of x. (It's an obtuse scalene triangle with two angles of 33° and 29°)

Answers

Answer:

118

Step-by-step explanation:

33+29 = 62

180 - 62 = 118

What is the first step needed to solve
() -6=
IN
2
5
X-6= -16?
O a
Subtract 16 from both sides
Ob
Add 6 to both sides
Ос
Divide both sides by 5
O d
Multiply both sides by 2

Answers

hello there the answer would be add both sides by 6 hope this helps :)

simplify 2 1/3 + 1 3/10 - 3 2/15



please help me quick i will mark you as brainliest and this question also gives 18 points

Answers

Answer:

7

Step-by-step explanation:

2 x 1/3 + 1 x 3/10 - 3 x 2/15

Multiplying each Side by the LCM which is 30

u will get 10 (2x1) + 3 (1x3) - 2 (3x2)

10(2) + 3(3) - 2(6)

20 + 9 -12

19 -12

7

What is the value of log Subscript 0. 5 Baseline 16? –4. 00 –0. 25 1. 51 2. 41.

Answers

The value of the logarithm expression [tex]log_{0.5}(16)[/tex] evaluated is given by : Option A: -4.00

What is logarithm and some of its useful properties?

When you raise a number with an exponent, there comes a result.

Lets say you get

[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = log_a(c)[/tex]

Some properties of logarithm are:

[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) + log_b(c) = \log_a(c)\\[/tex]

Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.

Log with base 10 is written as [tex]\log(x)[/tex] simply.

For this case, we have to simplify the expression [tex]log_{0.5}(16)[/tex]

Let this is equal to 'a', then:

[tex]a = \log_{0.5}(16)\\\\0.5^a = 16\\(\dfrac{1}{2})^a = 16\\\\1^a/2^a = 2^4\\\\1 = 2^4 \times 2^a\\2^0 = 2^{4+a}\\\\0 = 4 + a\\a = -4[/tex]

(we used the property that: [tex]b^0 = 1[/tex] and [tex]k^m \times k^n = k^{m+n}[/tex] )

Thus, the value of the logarithm expression [tex]log_{0.5}(16)[/tex] evaluated is given by : Option A: -4.00

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Answers

Answer: The answer would be $60

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Need a quick help with the point lol

Answers

Answer: Point

Step-by-step explanation: Point

Answer:

its 14 because you divide the circumfrece and then pi

Step-by-step explanation:

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Answers

Answer:

6 people can go

Step-by-step explanation:

341-30=311

311-45.2x=0

45.2x=311

x=6.88

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1. 10 + 5x = 20

2. 5 + 10x = 20

3. 20 - 5x = 10

4. x/5 + 10 = 20

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Answers

Answer:

Some ways to write 4 times x are: 4x, 4*x

A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model year. the dealer used the data from the frequency table to create this conditional relative frequency table by column. a 4-column table with 3 rows titled car inventory. the first column has no label with entries current model year, previous model year, total. the second column is labeled coupe with entries 0.9, 0.1, 1.0. the third column is labeled sedan with entries 0.75, 0.25, 1.0. the fourth column is labeled nearly equal 0.79 , nearly equal to 0.21, 1.0. which is the best description of the 0.1 in the table? given that a car is a coupe, there is a 10% chance it is from the previous model year. given that a car is from the previous model year, there is a 10% chance that it is a coupe. there is a 10% chance that the car is from the previous model year. there is a 10% chance that the car is a coupe.

Answers

A car is from the previous model year, there is a 10% chance that it is a coupe. Then the correct option is A.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

A car dealer organizes the inventory of a specific model of a car into a frequency table comparing the type of car and the model year.

The dealer used the data from the frequency table to create this conditional relative frequency table by column.

A car is from the previous model year, there is a 10% chance that it is a coupe.

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

A.) Given that a car is a coupe, there is a 10% chance it is from the previous model year.

Step-by-step explanation:

The person above me is correcttt~

edge2022

good luck! :)

~nxmbus

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Answers

Answer:

30 minutes

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Please evaluate this equation, and explain how you got the answer.

Answers

Answer:

3 = f

Step-by-step explanation:

3(6 - f) - 4 = 3f - 4

Distribute within Parenthesis

18 - 3f - 4 = 3f - 4

Combine like terms

14 - 3f = 3f - 4

Add 3f on both sides of the equation

14 = 6f - 4

Add 4 on both sides of the equation

18 = 6f

Divide by 6 on both sides of the equaiton to get your answer of

3 = f

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The numbers 20 through 30 were written on individual cards and placed in a bag. If you take one card from the bag, what is the probability that it will not have the digit 2 on it?

Answers

Answer:

1/10

Step-by-step explanation:

20 21 22 23 24 25 26 27 28 29 30

X.   X.   X.  X.  X.  X.  X.  X.  X.  X.  V

1/10

20-29 all have a 2 in it meaning 30 is the only digit that doesnt have a 2 so 1/10 numbers

If one card taken from the bag then the probability that will not have the digit 2 on it is 1/11.

What is probability ?

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

Numbers from 20 to 30 are written on individual cards.

The total numbers of cards = 11

And numbers on cards = 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30

To find the probability of cards that have not the digit 2 on it.

Since, there is only one digit 30, which does not have digit 2,

Therefore, probability = favorable outcome / total outcome

= 1 / 11

The required probability of choosing a card that will not have the digit 2 on it is 1/11.

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Answers

Answer:

it has a 4 sided,1  base

Step-by-step explanation:

Answer:

One base, look at the image I uploaded;

how do you subtract 8.43x^3 - 2.7x10^2

Answers

Answer:

Step-by-step explanation:

I tried this on a calculator but you could also do it on paper hope this helped!

A number is chosen at random from the whole numbers
between 1 and 100, inclusive.
(a) What is the probability that the number ends in a zero?
(b) What is the probability that the number is odd?
(c) What is the probability that the number is odd or ends in
a zero?

Answers

Answer:

90 for the first oneoneoneone

Step-by-step explanation:

(5, 3) and (5,-9) slope:
30 POINTS

Answers

the answer is unidentified

ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!! WITH WORK PLEASE!!!

Answers

Answer:

14,10

Step-by-step explanation:

8=(x+2)/2

16=x+2

x=14

4=(y-2)/2

8=y-2

y=10

Answer:

Step-by-step explanation:

Find the area of the circle with the diameter of 16

Answers

Answer:

64 [pi]

Step-by-step explanation:

pi r²=pi (8) 2=64 pi [use the symbol]

hope this helps! :)

Answer:

803.84

Step-by-step explanation:

A=3.14r^2

A=3.14x16^2

16x16=256

256x3.14=803.84

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The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110. What is the probability that a randomly selected student has a score between 350 and 550? Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 25 0. 5987 0. 35 0. 6368 0. 45 0. 6736 1. 00 0. 8413 1. 26 0. 8961 1. 35 0. 9115 1. 36 0. 9131 9% 24% 59% 91%.

Answers

The probability  of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%

What will be the probability?

we know that the formula for probability is given by

[tex]Z=\dfrac{X-\mu }{\sigma}[/tex]

where,

Z = Z score,

X = raw score,

μ = mean,

σ = standard deviation,

The probability  of the students to be selected randomly between 350 and 550 will be given as

[tex]=P(350 < X < 550)[/tex]

[tex]=P(350-500 < X-500 < 550-500)[/tex]

[tex]=P(\dfrac{350-500}{110} < \dfrac{X-500}{110} < \dfrac{550-500}{110}[/tex]

[tex]=P(-1.36 < Z < 0.45)[/tex]

[tex]=P(Z-1.36)-P(Z-0.45)[/tex]

[tex]=(0.9131-0.6736)[/tex]

[tex]=0.2395[/tex]

Thus the probability of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%

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Please help me solve 5 and 4!

Answers

4. is A
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 The ratio of men to women working for a company is 8 to 5 if there are 135 woman working for the company what is the total number of employees

Answers

Answer:

351 employees

Step-by-step explanation:

5x27=135

8x27=216

135+216=351

Determine what comes next in the given pattern.

15, 10, 14, 10, 13, 10,​

Answers

Answer:

→ 12..........

I hope this will help you....

Answer: 12, 10,

Step-by-step explanation:

What is the image of (x,y) after a translation of 3 units left and 7 units down?

Answers

Answer:

[tex](x + 3, y - 7)[/tex]

Step-by-step explanation:

Given

[tex]Function = (x,y)[/tex]

Translation:

[tex]Left = 3\ units[/tex]

[tex]Down = 7\ units[/tex]

Required

Determine the image of the function

Apply the first translation

[tex]Left = 3\ units[/tex]

When function (x,y) is 3 units translated left, we add the units to the x value.

The new function becomes:

[tex](x,y) -> (x + 3, y)[/tex]

Apply the second translation

[tex]Down = 7\ units[/tex]

We subtract 7 units from the y value

[tex](x,y) -> (x + 3, y)[/tex]

becomes:

[tex](x + 3, y) ->(x + 3, y - 7)[/tex]

Hence:

The image of the function is:

[tex](x + 3, y - 7)[/tex]

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