A spreadsheet program, such as Google Sheets, will happily make a pie chart for you, even displaying the percentages. (See the attachment.)
To calculate the percentages, divide each of the numbers in your list by the total of those numbers, then multiply that ratio by 100%
For example, the total is 2175, so the percentage belonging to Winter is
... 234/2175 × 100% ≈ 10.75862% ≈ 10.8%
If you're constructing the pie chart by hand, the next thing you need to know is the central angle of the section of pie representing Winter. To find that, mutiply the percentage (or its corresponding fraction) by 360°.
... 10.8% × 360° ≈ 38.7°
You can plot this on your chart using a protractor.
To create a pie chart with percentages, determine the values, calculate the percentages, draw the sections, and label them accordingly.
Explanation:To create a pie chart with percentages, follow these steps:
Determine the values or categories that you want to represent in your chart.Calculate the percentage for each value by dividing it by the total sum of all values and multiplying by 100.Draw a circle and divide it into sections, one for each value. The size of each section should correspond to the calculated percentage.Label each section with the corresponding value and its percentage.For example, if you have a pie chart representing the sales distribution of three products: A, B, and C, and their respective values are 100, 200, and 300, you would calculate the percentages as follows: A: (100 / 600) * 100 = 16.67%, B: (200 / 600) * 100 = 33.33%, C: (300 / 600) * 100 = 50%. Then, you would draw the pie chart with three sections, labeling each section with the product and its percentage.
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A particular style of sunglasses costs the retailer $70 $70 per pair. At what price should the retailer mark them so he can sell them at a 10% 10% discount off the original price and still make 35% 35% profit on his cost?
After the 10% discount on marked price (P), the selling price is ...
... P×(100% -10%) = 0.90P
After a markup off 35% on cost, the value is
... $70×(100% +35%) = 1.35×$70 = $94.50
The retailer wants these two values to be equal:
... 0.90P = $94.50
... P = $94.50/0.90 = $105.00 . . . . . divide by the coefficient of P
The marked price should be $105.00.
To make a 35% profit on the cost, the retailer should mark the sunglasses at a price of $85.05.
Explanation:To determine the price at which the retailer should mark the sunglasses, we need to calculate the original price and then apply the discount. First, let's find the 35% profit on the cost, which is $70. 35% of $70 is 0.35 * 70 = $24.50.
To make a profit of $24.50, the original price should be $70 + $24.50 = $94.50. To sell the sunglasses at a 10% discount, the marked price will be 90% of $94.50. 90% of $94.50 is 0.90 * 94.50 = $85.05.
Therefore, the retailer should mark the sunglasses at a price of $85.05.
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The English Alphabet has 20 letters more than one-fourth the number of letters in the Greek Alphabet. The English Alphabet has 26 letters. Which of the following equations would you use to find the number of letters, g, in the Greek Alphabet?
A) g + 20/4 = 24
B) 4g − 20 = 26
C) 1/4g + 20 = 26
D) 4g − 26 = 20
we are given that the English Aplhabet has 26 letters. we let g represent the number of letters in the Greek alphabet. From the statement given, English alphabet which is 26 = 20 + 1/4 *g. The expression which is similar to this is in option A. 1/4g + 20 = 26.
Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was $3. (a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks. (b) Explain your graph.
please answer this i dont understnad
The weight of an object on the moon varies directly as its weight on earth. A person who weights 150.94lb on earth weighs 25.66lb on the moon. How much would a 218.24lb person weigh on the moon?
109.93 lbs
since the quantities vary directly, then
w(moon) = kw(earth ) ← ( k is the constant of variation )
to find k use the given condition
k = w( moon ) / w( earth ) = [tex]\frac{25.66}{150.94}[/tex]
given w(earth) = 218.24
w(moon) = [tex]\frac{25.66(218.24)}{150.94}[/tex] = 109.93
What is the value of the expression (9+15) divided by 3 plus 2
Hey!
This question is super easy to me. This question is going to be used their order of operations.
Order of operations stands for
↓
P-Parenthesis
E-Exponents
M-Multiply
D-Divide
A-Add
S-Subtract
(9+15)/3+2
24/3+2
8+2
=10
Answer⇒⇒⇒⇒⇒=10
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
Answer:
10
Step-by-step explanation:
(9+15) ÷ 3 + 2 = 10
Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contraction or neither.
A) 20-4x=12-x+8-3x
B) 5x+4x-3+24+8x
C) 5x +6+2x+6+3x-15
Confusing please help
These are three equations and three answers.
Answers:
A) infinite solutions, identityB) one solution, x = 27, neither contradiction nor identiyC) x = no solutions, contradictionExplanation:
Equation A: 20 - 4x = 12 - x + 8 - 3x
The objective is clearing the unknown, which is to isolate it in one side of the equation.
These are the steps and properties that you need to use:
1. Combine like terms on right side:
20 - 4x = 20 - 4x
2. Use addition property of equality (add 4x on each side).
20 = 20 ↔ identity
Conclusion: you have gotten a condition that is always true, no matter the value of x, which means that the equation has infinite solutions and it is an identity.
Equation B: 5x + 4x - 3 = 24 + 8x (note that I placed the equal sign as it was missing)
1. Combine like terms on each side:
9x - 3 = 24 + 8x
2. Subtraction property and addition propertiy of equality (subtract 8x and add + 3 on both sides)
x = 27 ↔ solution (neither contradiction nor identity)
Conclusion: the solution is x = 27.
Equation C: 5x + 6 = 2x + 6 + 3x - 15 (note that I placed the equal signs as it was missing)
1. Comitne like terms on the right side:
5x + 6 = 5x - 9
2. Subtraction property of equality (subtract 5x from each side)
6 = - 9 ↔ contradiction
Conclusion: the equation does not have a solution since the final equality is always false (a condradiction or absurd).
For your information, when the variable (x) dissapears and fhe final equality is always true (for example 0 = 0, or 20 = 20), the equation is an identity.
A) 20-4x=12-x+8-3x
Bring all x values at one side and all numerical values to the other side of the equal sign and solve. Also, do not forget to change the sign when you change the side.
-4x + x + 3x = -20 + 12 + 8
-4x + 4x = -20 + 20
0 =0 No solution
B) 5x+4x-3+24+8x
this expression can only be simplified to 17x + 21 and not solved because there is no equal sign here
C) 5x +6+2x+6+3x-15
this expression can only be simplified to 10x - 3 and not solved because there is no equal sign here
Also, neither of these is an identity or contraction.
I need help with this one please help asap thank you
Evaluate the following
|10| =
|-7| =
The absolute value of a number is that number with a positive sign.
|10| = 10
|-7| = 7
HELP FAST PLS!! Drag each function to correct location on the image. Identify exponential functions.
Answer:
See the attached
Step-by-step explanation:
An exponential function has the variable in the exponent.
Answer:
Exponential functions: [tex]f(x)=8e^x[/tex],[tex]f(x)=e^{-3x}[/tex] and [tex]f(x)=20^{\frac{x}{3}}[/tex]
Non-exponential functions: [tex]f(x)=5x^{\frac{3}{7}}[/tex], [tex]f(x)=4x^3-6x[/tex] and [tex]f(x)=\sqrt{x}+3x[/tex]
Step-by-step explanation:
The general form of an exponential function is
[tex]f(x)=ab^x[/tex]
where, a is initial value and b is growth factor.
It means the variable term i.e., x must be the exponent . In other words we can say that the variable term must be in the power of constant terms.
We need to check whether the given function is an exponential function or not.
The given function is
[tex]f(x)=8e^x[/tex]
It is an exponential function with initial value 8 and growth factor e≈2.718.
Similarly,
[tex]f(x)=e^{-3x}[/tex] and [tex]f(x)=20^{\frac{x}{3}}[/tex] are exponential functions.
[tex]f(x)=5x^{\frac{3}{7}}[/tex], [tex]f(x)=4x^3-6x[/tex] and [tex]f(x)=\sqrt{x}+3x[/tex] are non-exponential functions.
Keisha solved the following equation:
4x − 2x + 8 = 6(x + 4)
Step Work Justification
1 2x + 8 = 6(x + 4) Combine like terms
2 2x + 8 = 6x + 24 Associative property of multiplication
3 −4x + 8 = 24 Subtraction property of equality
4 −4x = 16 Addition property of equality
5 x = −4 Division property of equality
Which step has an incorrect justification?
Remark
Answer: The second one. The second step removes the brackets on the right. It uses the distributive property which puts back the common factor that was taken out of the two terms 6x and 24. Quite often the distributive property is useful when presenting a problem to be solved.
The associative property is more of an order thing and that is very useful sometimes as well what it says is that if you have three numbers a + b + c the order which you combine things does not matter.
For example 3 + 4 + 5 could be combined as 3 + 4 = 7; 7 + 5 = 12 or 3 + 5 = 8, 8 + 4 = 12.
The associative property is useful when adding fractions.
How many subsets of 100 have exactly 99 elements?
How many subsets of 100 have exactly 98 elements?
How many subsets of 100 have exactly 2 elements?
The number of k-element subsets of a set of n elements is given by
... C(n, k) = n!/(k!(n-k)!)
a) C(100, 99) = 100!/(99!×1!) = 100
b) C(100, 98) = 100!/(98!×2!) = 100*99/2 = 4950
c) C(100, 2) = 100!/(2!×98!) = 4950 . . . . same as (b)
Suppose the exponential regression equation for some data is y=1.923*3.772^x. When x equals 5, what is the predicted value of y? Round your anser to the nearest whole number. A. 147 B. 99 C. 992 D/ 1468
Put 5 where x is in the equation and do the arithmetic.
y = 1.923×3.772⁵ ≈ 1468.377444
The most appropriate answer is ...
... D. 1468
Answer:
the value of y when x= 5 is 1468
Step-by-step explanation:
Suppose the exponential regression equation for some data is given by y=1.923*3.772^x
We need to find out the value of y when x= 5
Plug in 5 for x and find out y
y=1.923*3.772^x
y=1.923*3.772^5=1468.37744
So the value of y when x= 5 is 1468
Choose the expressions that are perfect cubes.
–3
125a^6
8m^20
100w^24x^3
–64q^12
–c^30d^9f^18g^3
Answer:125a6
-64q12
-c^30d^9f^18g^3
Step-by-step explanation:
Got it right on edgy
I need help on this one please
The multiples for 6 : 6, 12, 18, 24, 30,36, 42, 48
The multiples for 8 : 8, 16, 24, 32, 40, 48, 56, 64
Hope this helps
PLZ HELP ASAP GEOMETRY
Josh is building an enclosure with recycled cardboard for his collection of model cars. His design is as shown below:
What is the length of side BC in inches?
a. 14b. 42c. 49d. 63
Answer:
Option D [tex]BC=63\ in[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
[tex]\frac{DC}{ML}=\frac{BC}{KL}[/tex]
substitute the given values and solve for BC
[tex]\frac{56}{8}=\frac{BC}{9}[/tex]
[tex]BC=56(9)/8\\BC=63\ in[/tex]
Write the equation of the line parallel to the given line and passing through the given point.
y=2x−8 through (3,10)
Copy down y = 2x - 8. Note that any line parallel to this will have exactly the same form, although the constant (representing the y-intercept) may be different.
Knowing that this line passes through (3,10), all we have to do is find the value of the constant of this new, parallel line. Substitute 10 for y and 3 for x, obtaining 10 = 2(3) + b. Then 10-6 = b, or b = 4, and:
y =2x + 4 (answer). Again, note how the form of this new equation is exactly the same as the form of the given equation; only the constant (the y-intercept) is different.
Answer:
y=2x+4
Step-by-step explanation:
The equation we have is y=2x-8, so we subsitute the values and 8 is equal to b. After you substitue you solve it. b=4. So, the answer is y=2x+4
Hope this helped :) *also sorry if I spelled some words wrong*
I just need help on learning how to do ten and eleven thank you!
Simplify -52 + 8|-1| + (-3).
A. 30
B. 14
C.-20
D. -36
Please help!
Answer:
C. -20
Step by step explanation:
It appears you want the value of the expression -5² +8|-1| +(-3).
Order of operationsThe order of operations tells us that the first step is to evaluate expressions in parentheses. Here, the absolute value symbols effectively serve as parentheses, so we start there.
|-1| signifies the absolute value of -1, its magnitude, or positive value. That simplifies to 1. So, your expression is ...
-5² +8·1 -3
The next step is to evaluate the term with an exponent: -5² = -(5·5) = -25.
= -25 +8·1 -3
Now, we perform the multiplication:
= -25 +8 -3
And finally, the addition/subtraction
= -17 -3
= -20
__
Additional comment
The expression you show in the problem statement looks like the first term is negative fifty-two. That is very different from negative five squared. An exponent is indicated using a caret (^), as -5^2, or using a superscript font, as -5². Please be careful to use appropriate math symbols where exponents are involved.
Please show work: This is for my daughter in 7th. Grade; Needed some insight 15 Points, and Brainliest to whom show work with correct answers!
1a - A boat travel 468 kilometers on 117 liters of gasoline. How much gasoline will it need to go 168 kilometers
1B: A car travels 138 miles in 4 hours (With constant speed) How far can it travel in 10 hours (With the same speed)
2A: A boat travels 261 miles in 15 hours (With a constant speed) How much time will it take traveling 180 miles?
2B: A car travels 452 Km. in 5 hours (with a constant speed) How far can it travel in 4 hours?
5A: 50 LBS. of tomatoes cost $200. How much would 2 LBS cost?
5B: A boat travels 381 km. in 6 hours (with a constant speed) How far can it travel in 7 hours (with the same speed)?
5C: A boat travels 427 km. in 43 hours (with constant speed) How much time will it take traveling 459 kilometers?
5D: 11 Kg. of bananas cost $88 how much would 20 kg cost?
Thanks -P-
Answer:
1a. 42 liters
1b. 345 miles
2a. 10 h 20 min 41.4 sec
2b. 361.6 km
5a. $8
5b. 444.5 km
5c. 46 h 13 min 20.9 sec
5d. $160
Step-by-step explanation:
Each of these problems expresses a proportion and asks you to find a missing value. You are given, for example, value 1 and related value 1. You are asked to find value 2 that corresponds to related value 2.
Solving the Proportion
Expressed as a proportion, this looks like ...
... (value 1)/(related value 1) = (value 2)/(related value 2)
If you multiply both sides of this equation by related value 2, you can find value 2.
... (related value 2)/(related value 1)×(value 1) = value 2
Another way to think about it
I like to think of the related values as making a fraction. If the related value 2 is larger than related value 1, the fraction is greater than 1 and the value 2 will be larger than value 1. (This realization can serve as a check on your answer.)
1a. related value 2 = 168 km. This is the value for which you want to find value 2, the number of liters of gasoline. related value 1 has the same units as related value 2 (km), and value 1 has the same units as value 2 (liters).
Then the fraction of interest is (168 km)/(468 km), and it multiplies 117 L. The result is ...
... (168/468)×(117 L) = 42 L
1b. (10 h)/(4 h)×(138 mi) = 345 mi
2a. (180 mi)/(261 mi)×(15 h) ≈ 10.3448 h
2b. (4 h)/(5 h)×(452 km) = 362.6 km
You may have noticed that I keep the units with the numbers. When the same units are in the numerator and denominator, they cancel—the way any common factors cancel. The remaining units will be the units of the answer. This practice of keeping units with numbers can help ensure you're using the right numbers for the right purpose. If the units don't work out, your math has an error.
5a. (2 lb)/(50 lb)×$200 = $8
5b. (7 h)/(6 h)×381 km = 444.5 km
5c. (459 km)/(427 km)×(43 h) ≈ 46.2225 h
5d. (20 kg)/(11 kg)×$88 = $160
What is the value of f(x) at x=8? F(8)=
The value of F(8) is 64.
Given that,
the value of f(x) at x=8.Based on the above information, the calculation is as follows:
[tex]F(8) = 8 \times 8[/tex]
= 64
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How would the fraction 1/3+square root of 2 be rewritten if its denominator is rationalized using difference of squares? A. 3-square root of 2 B. 3-square root of 2/5 C. 3-square root of 2/7 D. - 3+square root of 2/7
C
given 1 /( 3 + √2 )
then rationalise the denominator by multiplying the numerator/ denominator by the conjugate of the denominator
the conjugate of 3 + √2 is 3 - √2
1 / (3 + √2 ) × (3 - √2 ) / (3 - √2 )
= (3 - √2 ) /( 9 - 2 ) = (3 - √2 ) / 7
The fraction [tex]\frac{1}{3+\sqrt{2}}[/tex] can be written as [tex]\frac{3-\sqrt 2}{7}[/tex]. Option C is correct.
What is a fraction simplification?Fraction simplification is a method of fraction reduction that entails making a fraction as simple as possible.
This is accomplished by dividing the numerator and denominator by the biggest integer that divides both integers exactly.
Given fraction;
[tex]\frac{1}{3+\sqrt{2}}[/tex]
Multiplying the numerator and denominator by the conjugate of the denominator will rationalize the denominator;
The conjugate of the denominator (3 + √2) is 3 - √2;
Apply the rationalization of fraction;
[tex]\frac{1}{3+\sqrt{2}} \\\ \frac{1}{3+\sqrt{2}} \times \frac{3-\sqrt2}{3-\sqrt 2} \\\\ \frac{3-\sqrt 2}{9-2} \\\\\ \frac{3-\sqrt 2}{7}[/tex]
Hence option C is correct.
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72 ÷(11-3²) ÷ 3 but as a fraction
Let's evaluate the quantity within the parentheses. (11 - 3^2) becomes (2). Then we have:
(72 divided by 2) / 3, or 36/3, or 12.
Rewrite in terms of sin(x) and cos(x).
sin(x+[7pi/4])
The term sin(x+[7pi/4]) can be rewritten in terms of sin(x) and cos(x) using the formula for sine of the sum of two angles. Given A = x and B = 7pi/4, the equation can be simplified to sin(x + [7pi/4]) = sin(x)(√2/2) - cos(x)(√2/2).
Explanation:To rewrite the term sin(x+[7pi/4]) in terms of sin(x) and cos(x), we can use the formula for sine of the sum of two angles. The formula is given by:
sin(A + B) = sinAcosB + cosAsinB
Substituting our given values into this formula, where A = x and B = 7pi/4, we get:
sin(x + [7pi/4]) = sin(x)cos(7pi/4) + cos(x)sin(7pi/4)
Note that cos(7pi/4) = √2/2 and sin(7pi/4) = -√2/2. Therefore:
sin(x + [7pi/4]) = sin(x)(√2/2) - cos(x)(√2/2)
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Which expressions are polynomials? Select each correct answer. 30y^2 30y^2+x 30y2x 30y2+x12
To know which of the following expressions are polynomials, let us look at the definition of a polynomial:
Polynomial is derived from poly- (which means "many") and -nomial (meaning "term"), so it says "many terms".
For an instance: [tex]2x^2y+2y^2[/tex] is a polynomial, but [tex]4xy^2[/tex] is not a polynomial because it contains single term only.
We must keep in mind that in polynomial it can have variables, constants, and exponents but it can never have division by a variable.
Now lets, look at the
[tex]30y^2[/tex] since it has got one term it can not be a polynomial.
[tex]30y^2+x[/tex]: it has got more than one term therefore, it is a polynomial.
[tex]30y^2x[/tex]: again it has got just one term so it is not a polynomial.
[tex]30y^2+x^{12}[/tex]: Since it has got more than one term, so again it is a polynomial.
The correct polynomial expressions are 30y²+x and 30y². Option A and D is the correct answer.
Polynomials are expressions that consist of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and exponentiation.
30y²+x: This expression is a polynomial because it consists of a constant term (30), a variable term (y²) raised to a non-negative integer exponent, and an additional variable term (x).
30y²: This expression is a polynomial because it consists of a constant term (30) and a variable term (y²) raised to a non-negative integer exponent.
These expressions are considered polynomials because they consist of variables, constants, and non-negative integer exponents, and they involve the appropriate mathematical operations of addition and multiplication.
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The complete question is, "Which expressions are polynomials? Select each correct answer.
a. 30y²+x
b. 30y²+x (¹/²)
c. (30y²) ÷ x
d. 30y²"
Stephon has a square brick patio. He wants to reduce the width by 2 feet and increase the length by 2 feet.
Let x represent the length of one side of the square patio. Write expressions for the length and width of the new patio. Then find the area of the new patio if the original patio measures 10 feet by 10 feet.
A. lw = (x + 2)(x – 2); 96 square feet
B. lw = (x – 2)(x – 2); 64 square feet
C. lw = x(x – 2); 80 square feet
D. lw = (x + 2)(x + 2); 144 square feet
A
reducing one side by 2 is expressed as (x - 2) ← length
increasing the other side by 2 is expressed as (x + 2 ) ← width
the area of new patio = (10 - 2 )(10 + 2) 8 × 12 = 96 ft²
Answer: A. lw = (x + 2)(x – 2); 96 square feet
Step-by-step explanation:
Given: Stephon has a square brick patio. He wants to reduce the width by 2 feet and increase the length by 2 feet.
Let x be the side-length of the patio, then
The length of the patio after change = x+2
The width of the patio after change = x-2
Then the area of the patio is given by :-
[tex]A=lw\\\Rightarrow\ A=(x+2)(x-2)[/tex]
If the original patio measures 10 feet by 10 feet.
Then the area of the patio= [tex](10+2)(10-2)=(12)(8)=96[/tex] square feet.
Hence, A is the right answer.
maria is bringing her sick dog pedro in for a series of appointments at the veterinary clinic. Her total over the course of treatment with be $150 for tests and medidine plus $30 per appointment,a. the clinic offers Maria a 15% discount off her total cost. Write an equation to show her updated cost.
After the 15% discount, Maria pays 85% of the cost. That cost is the sum of the fixed cost and the variable (per visit) cost.
... (updated cost) = 0.85×($150 +$30×a)
... (updated cost) = 127.50 +25.50a . . . . in dollars
Q # 14 please . .Write the slope-intercept of the equation for the line
You can see that this line passe through the points (-4,-2) and (4,3).
The slope of the line passing through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is
[tex]\dfrac{y_2-y_1}{x_2-x_1}.[/tex]
Thus, the slope is
[tex]\dfrac{3-(-2)}{4-(-4)}=\dfrac{5}{8}.[/tex]
Then the equation of the line is
[tex]y-3=\dfrac{5}{8}(x-4),\\\\y=\dfrac{5}{8}x+\dfrac{1}{2}.[/tex]
Answer: correct choice is C.
ILL GIVE MEDAL AND BRAINLIST AWNSER TO whoEVER IN THE FIRST!!!!Roland's heart beats 495 times in 6 minutes. At that rate, how many times would it beat in 20 minutes?
A.
9900
B.
2970
C.
1650
D.
615
Answer,
C. 1650
Explanation,
495/6 = 82.5
82.5 x 20 = 1650
Hope this helps :-)
Convert the density of the textbook to slug/in^3. (1 slug =14.59kg)(1in =2.54 cm)
To convert the density of the textbook to slug/in³, we first convert the density from g/cm³ to kg/m³ and then use the given conversion factors to convert it to slug/in³.
Explanation:To convert the density of the textbook to slug/in³, we need to use the given conversion factors: 1 slug = 14.59 kg and 1 in = 2.54 cm. First, we need to convert the density from g/cm³ to kg/m³ by dividing by 1000. Then, we can convert from kg/m³ to slug/in³ using the given conversion factors. Let's calculate:
Given density = 3 g/cm³
Step 1: Convert g/cm³ to kg/m³
Density in kg/m³ = 3 g/cm³ / 1000 = 0.003 kg/m³
Step 2: Convert kg/m³ to slug/in³
Density in slug/in³ = 0.003 kg/m³ × (1 slug / 14.59 kg) × (1 in³ / (2.54 cm)³)
Performing the calculations gives us the density of the textbook in slug/in³.
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