a cube has a volume of 8 cubic inches what is the length of each edge of the cubes
Answers
The length of each edge of the cube is 2 in.
Given:
Volume of cube = [tex]8 in.^{3}[/tex]
*image of a cube is shown in the attachment.
Recall:
Formula for volume of a cube is given as:
[tex]V = a^{3}[/tex]
where,
[tex]a =[/tex] length of each edge of the cube
[tex]V = 8[/tex]
Plug in the value into the formula to find a.
[tex]8 = a^{3}\\\sqrt[3]{8} = \sqrt[3]{a^{3} } \\2 = a\\a = 2[/tex]
Therefore, the length of each edge of the cubes is 2 inches.
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Related Questions
The quotient of 12 and opposite of 3 plus the product of the opposite of 14 and 4
Answers
The quotient of 12
12/
And the opposite of 3, which would be -3
12/-3
Plus
12/-3 +
The product of the opposite of 14 (-14)
12/-3 + -14 *
And 4
12/-3 + -14*4
If you want the answer:
-4 + -56
-60
Which expression is the completely factored form of x6−64y3 ? (x2−4y)(x4−16y2) (x2−4y)3 (x2−4y)(x4+4x2y+16y2) (x2+4y)(x4−4x2y+16y2)
Answers
The expression which is obtained on factorising it completely is:
[tex]x^6-64y^3=(x^2-4y)(x^4+16y^2+4x^2y)[/tex]
Step-by-step explanation:We are asked to factorize the expression which is given by:
[tex]x^6-64y^3[/tex]
This expression could also be written as:
[tex]x^6-64y^3=(x^2)^3-(4y)^3[/tex]
Now, we know that:
[tex]a^3-b^3=(a-b)(a^2+b^2+ab)[/tex]
Here we have:
[tex]a=x^2\\\\and\\\\b=4y[/tex]
Hence,
[tex]x^6-64y^3=(x^2-4y)((x^2)^2+(4y)^2+x^2\times 4y)[/tex]
i.e.
[tex]x^6-64y^3=(x^2-4y)(x^4+16y^2+4x^2y)[/tex]
The distributive property loss of combined subtraction and multiplication for example 3 x (5-2) = (3X5) - (3x2) Explain how you could use the distributive property and mental math to find 5x198
Answers
(5 * 100) + (5 * 90) + (5 * 8) =
500 + 450 + 40 =
990
A landscaper buys a tree that grows at a rate of 18 inches every 3 months.
How much does it grow in 1 year?
A. 30 in.
B. 36 in.
C. 54 in.
D. 72 in.
A plant grows 9 in. every 2 months.
How will it grow in a year?
A. 18 in.
B. 36 in.
C. 54 in.
D. 108 in.
Answers
1 it grows 18 inches every 3 months
there are 12 months in 1 year
12 dived by 3 = 4 so there are 4 times it will grow 18 inches
18 * 4 = 72 inches, amount it grows in 1 year
Answer is D
2. it grows 9 inches every 2 months
12/2 = 6 times a year it will grow
9 *6 = 54 inches total for 1 year
Answer is C
seven more than the quotient of a number and 2 is 10
Answers
More= plus
quotient=division
is=equal
What is the algebraic expression that describes the monthly salary? Let x be the hours of training
Answers
that means that for every 1 hour monthly pay increases by 10
so the answer must be in the form 10x + something
let's take the 1st row in the table
10 hours of training = 1300 monthly pay
10x+ something = 1300
10*10 + something=1300
something = 1200
therefore, monthly pay 10x +1200
hope i helped
The figure below shows a transversal t which intersects the parallel lines PQ and RS:
Write a paragraph to prove that the measure of angle 4 is equal to the measure of angle 8.
Answers
In this case, the corresponding angles are:
1 and 5
2 and 6
3 and 7
4 and 8
Since angle 4 and 8 are corresponding angles, they are necessarily equal.
Answer:
For the proof, check the explanation part.
Step-by-step explanation:
In the given figure, the lines PQ and RS are parallel and line t is transversal.
It is required to prove that measure of angle 4 is equal to measure of angle 8.
Now, measure of angle 4 will be equal to measure of angle 6 because they are the alternate interior angles.
Now, the measure of angle 6 will be equal to measure of angle 8 because they are the vertically opposite angles.
So, form the above information, it can be concluded that,
[tex]\angle 4=\angle 6\\\angle 6=\angle 8\\\angle 4=\angle 8[/tex]
Hence proved.
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The product of two ratio rational numbers is 48/5. If one of the rational number is 66/7, find the other rational number.
Answers
Final answer:
The other rational number is 384/7.
Explanation:
To find the other rational number, we can set up a proportion by setting the two ratios equal to each other. The given ratio is 66/7, and the product of the two ratios is 48/5.
Let the other rational number be represented by w. Writing the proportion, we have:
66/7 = w/(48/5)
Cross multiplying and solving for w:
w = (66/7) * (48/5)
w = 8*48/7
w = 384/7
Hence, the other rational number is 384/7.
Explain why you would make one of the addends a tens number when solving an addition problem.
Answers
When solving addition problems, it is advisable to make one of the addends a tens number because, it makes the addition operation easier to manipulate.
Since we can add a number to a tens number easily, we make one of the addends a tens number when solving an addition problem.
Example 1:
Add 9 and 6.
9 + 6 = 9 + (1 + 5)
= (9 + 1) + 5
= 10 + 5 = 15
Note that adding 10 and 5 is much easier than adding 9 and 6.
Example 2:
Add 18 and 16.
18 + 16 = 18 + (2 + 14)
= (18 + 2) + 14
= 20 + 14 = 34
Note that adding 20 and 14 is much easier than adding 18 and 16.
Find slope of horizontal and vertical lines
Answers
With a vertical line, our run is zero, which means that, since our denominator is 0, our slope is undefined.
Use the picture to answer. Which real number is not both a whole number and an integer? A. 423 B. 259 C. –156D. 0
Answers
hope this helps :)))))))))))))
Explain how knowing 1+7 helps you find the sum for 7+1
Answers
Ex 12+5=5+12
subtract the quoient of 8 divided by 7 from 9
Answers
9-1.143=7.857
In a load of laundry, 60% of the socks are white. If there are 25 socks in the load, how many are white?
Answers
remember of in math means multiply
Answer:
15
Step-by-step explanation:
You have to multiply 0.60 by 25 in order to get 15! Easy, right?
The student store sells pencils that have a markup of 120 percent above their wholesale cost of $0.50 each. They also charge sales tax of 8 percent. What is the total cost of a pencil from the student store?
Answers
Answer:
The total cost of a pencil from the student store is $ 1.188
Step-by-step explanation:
Given,
The original cost or wholesale cost of each pencil = $ 0.50,
Markup percentage = 120 %,
So, the cost of the pencil after markup = 0.50 + 120% of 0.50
[tex]=0.50+\frac{120\times 0.50}{100}[/tex]
[tex]=0.50+\frac{60}{100}[/tex]
[tex]=0.50+0.6[/tex]
[tex]=1.1[/tex]
Now, sales tax = 8 %,
Hence, the final total cost of a pencil = 1.1 + 8 % of 1.1
[tex]=1.1 + \frac{8\times 1.1}{100}[/tex]
[tex]=1.1+\frac{8.8}{100}[/tex]
[tex]=1.1+0.088[/tex]
[tex]=\$1.188[/tex]
What is 1,120 divided by 35
Answers
if you multiply 32 by 35 you get 1,120
35 x 32 = 1,120
Movie rental at a video store, you have two options for renting movies. You can pay $4 per movie,or you can pay a one time membership fee of $20 and then pay only $1.50 per movie. After how many movie rentals will she cost of renting movies with the membership be less than the cost of renting movies without the membership?
Answers
After 8 movie rentals, will the cost of renting movies with the membership be less than the cost of renting movies without the membership.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the information given in the question,
There are two options for renting movies.
As per the first option,
Pay $4 per movie, so the equation will be,
y = 4x (i)
Where y is the total cost and x is the number of movies.
As per the second option,
Take a membership of $20, and they pay $1.50 per movie.
So, the equation will be,
y = 1.5x + $20 (ii)
Where y is the total cost and x is the number of movies.
Now, solve equations (i) and (ii)
4x = 1.5x + $20
4x - 1.5x = 20
2.5x = 20
x = 20/2.5
x = 8
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If I am choosing an outfit to wear, are the events "collared shirt" and "Long-sleeved shirt" Mutually exclusive or Inclusive? Mutually Exclusive Inclusive
Answers
How many ounces are in 14 grams?
Answers
14 g * (1 oz)/(28.35 g) = 0.49 oz
14 g = 0.49 oz
Alex is making 12 pennants for the school fair.The pattern he is using to make the pennants is shown in the figure.The fabricfor the pennants costs $1.25 per square foot. How much will it cost Alex to make 12 pennants?
—
THIS IS URGENT!!!!
PLEASE ANSWER WITH WORK.
Answers
A mean ogre stole 27 of your muffins. That was 3/5 of all of them! With how many did you start ?
Answers
27/3
9
You then multiply this by 5 to figure out how many you had total
9x5
45
You started out with 45 muffins total, that was a mean ogre to steal over half of them!!
He Sun bought 3 skirts for s dollars each and a jacket that costs 5 times as much as each skirt. She spent a total of $280. How much did the jacket cost? 1
Answers
(x x y)a = xa x ya illustrates which property of eponents
Answers
Which is f(5) for the function –2x2 + 2x – 3? –107 –63 –43 –37
Answers
-4+10-3
6-3
3
what are the extra numbers at the end?
Plz help me on that problem number 20
Answers
divide the amount deducted ( $24) by the number of bus rides (12)
24 / 12 = 2
it cost $2 per ride
Can someone help me with this problem?
Answers
First, distribute the negative inside the parenthesis of 1/2.
Next, turn all the denominators into 6 by multiplying by 3 or 2.
-1/2 + 2/3 + -1 1/6
Changes to -3/6 + 4/6 - 1 1/6
-3/6 + 4/6 = 1/6
1/6 - 1 1/6 = -1
[tex]= - \frac{1}{2} + \frac{2}{3} - 1\frac{1}{6} [/tex]
Now change the mixed numeral into a fraction:
[tex]= - \frac{1}{2} + \frac{2}{3} - \frac{7}{6} [/tex]
Now change all fractions to the common denominator, 6:
[tex]= - \frac{3}{6} + \frac{4}{6} - \frac{7}{6} [/tex]
Now combine the fractions together:
[tex]= -\frac{6}{6}
-1
Iodine-125 has a half-life of about 60 days.
How many milligrams of a 500 mg sample will remain after 300 days?
Answers
the answer is 15.625mg
Approximately how many times greater is 8.5×10^8 than 3.4×10^5
Answers
What is 1/6×2/3= to what
Answers
To multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator:
[tex]= \frac{1}{6}* \frac{2}{3} [/tex]
[tex]= \frac{1*2}{6*3}[/tex]
The Answer Is:
[tex]= \frac{2}{18}[/tex]
or
[tex]= \frac{1}{9}[/tex]
Hope this helps.
-Benjamin
(04.02 LC)
The graph below shows the numbers of cups of grape juice that are mixed with cups of lemon-lime soda to make servings of grape soda:
A graph is shown. The values on the x-axis are 0, 1, 2, 3, 4, 5. The values on the y-axis are 0, 2, 4, 6, 8, 10. Points are shown on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6 and 4, 8. These points are connected by a line. The label on the x-axis is Lemon lime Soda in cups. The title on the y-axis is Grape Juice in cups.
What is the ratio of the number of cups of grape juice to the number of cups of lemon-lime soda?
Answers
using the points, the x is Soda and the Y is the grape juice
for (1,2) 1 soda to 2 juices
(2,4) 2 sodas to 4 juices
so the ratio is 2 juices to every 1 soda which is a 2/1 ratio
Answer:
C
Step-by-step explanation: