The unknown number will be equal to 64.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the cube of the product of 8 and the number is 512. The unknown number will be calculated as,
8 x = 512
x = 512 / 8
x = 64
The number which is the product of 8 will be equal to 64.
The complete question is given below.
The cube of the product of 8 and the number is 512. What is the number?
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-¼ ( x + 2) + 5 = - x
( this is a multi-step equation)
The value of x after simplfication of equation -¼ ( x + 2) + 5 = - x is -6.
Consider the equation,
( - 1 / 4 ) × ( x + 2 ) + 5 = - x
Now,
( - x / 4 ) + ( - 2 / 4 ) + 5 = - x
( - x / 4 ) - ( 1 / 2 ) + 5 = - x
Now, LCM of 2 and 1 is 2.
Therefore,
( - x / 4 ) + [ ( 10 - 1 ) / 2 ] = - x
( - x / 4 ) + ( 9 / 2 ) = - x
Adding x on both sides of the equation.
( - x / 4 ) + x + ( 9 / 2 ) = - x + x
Subtracting ( 9 / 2 ) from each side of the equation,
( - x / 4 ) + x + ( 9 / 2 ) - ( 9 / 2 ) = ( - 9 / 2)
( - x / 4 ) + x = ( - 9 / 2 )
LCM of 4 and 1 is 4
[ ( - x + 4x ) / 4 ] = ( - 9 / 2 )
( 3x / 4 ) = ( - 9 / 2 )
By cross multiplying,
2 × 3x = - 9 × 4
6x = - 36
Dividing each side of the equation by 6.
( 6x / 6 ) = ( - 36 / 6 )
x = - 6
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a car travaling 9/10 of miles per minute will travel how many miles in 10 minutes
Jason can travel 24 3/4 miles in 1/4 hour. What is his average speed in miles per hour?
Answer:
the answer is 99
Step-by-step explanation:
simply multiple 24 3/4 by 4
Answer:
99 miles per hour
Step-by-step explanation:
(24 3/4) / (1/4) =
99/4 x 4/1 =
396/4 = 99
Graph a right triangle with the two points forming the hypotenuse. Using the sides,
find the distance between the two points, to the nearest tenth (if necessary).
(4, 6) and (7,8)
Answer: 0.67 unit
Step-by-step explanation:
Points are,
( 4 , 6 ) & ( 7 , 8 )
Distance= ( 8 - 6 )/( 7 - 4 ) = 0.67 unit
How do you solve this problem-3<=-2x+5<1
Answer:
-1
Step-by-step explanation:
Can someone do 463 ÷ 60 by the standard algorithm
Answer:
7 remainder 42
Step-by-step explanation:
P.S Can I have brainliest?
What type of number is 18.62
Answer:
terminating decimal
Step-by-step explanation:
doesn't repeat
Which equations would you use the subtraction property of equality to solve?
Check all that apply.
O 5y=20
O76=d+4
Ox-3=17
Ob-13=26
Oh+2=54
Dz+9=2
Solve for x: 6 over x equals 4 over 8 10 12 24 48
Answer:
The answer is 12.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
i took the test and got it right
Sra. Niccoli used 3/4 cups of sugar, 1/2cup of flour and 2 1/4
cup of chocolate chips to make a batch of cookies. How
many cups of ingredients did she use for her cookies?
What is this division or multiplication and what fractions?
Answer:
3/4+1/4=4/4=1
1+ 1/2=1 1/2 cups
Step-by-step explanation:
Need help with this will give branliest to the first who answers
First, find the equation
y = F(x) = x +3
Then plug in 2 for x ( you could also go to 2 on the x-axis to find the Y)
F(2) = (2)+3
F(2) = 5
Simplify each expression.
(3m^1/2•27n^1/4)^4
Answer:
43046721/4096
m4n4
Step-by-step explanation:
What is absolute value and why is it always positive?
Answer:
Step-by-step explanation:
An absolute value is the distance a number is from 0 on the number line. So, regardless if it is a negative or a positive number, the distance from that number to 0 will always be positive. For example, -5 is 5 units away from 0, and 5 is also 5 units from zero. They have the same absolute value, even though one is negative and the other is positive.
Answer:
You can describe absolute value as a number's (Negative or positive) distance from zero.
Step-by-step explanation:
Say you have 4 and -4. 4's absolute value is four because it is four number units away from zero. -4 is a negative number but its absolute value would still be positive four because it is still four number units away from zero even though those number units are negative.
Simplify and answer the boxes.
Answer:
[tex]\huge\boxed{\dfrac{x^2+9^2}{x-3y}+\dfrac{6xy}{3y-x}=x-3y}[/tex]
Step-by-step explanation:
Domain:
[tex]x-3y\neq0\Rightarrow x\neq3y[/tex]
[tex]\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{3y-x}=\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{-(x-3y)}\\\\=\dfrac{x^2+9y^2}{x-3y}-\dfrac{6xy}{x-3y}=\dfrac{x^2+9y^2-6xy}{x-3y}\\\\=\dfrac{x^2-2(x)(3y)+(3y)^2}{3y-x}=\dfrac{(x-3y)^2}{3y-x}\\\\=\dfrac{\bigg[-1(3y-x)\bigg]^2}{3y-x}=\dfrac{(-1)^2(3y-x)^2}{3y-x}\\\\=\dfrac{1(x-3y)(x-3y)}{x-3y}=x-3y[/tex]
Used:
The distributive property: a(b + c) = ab + ac
(a - b)² = a² - 2ab + b²
is 462 ft above sea level positive integer, or zero, or negative integer ?
Answer:
Positive Integer
Step-by-step explanation:
An integer is a whole number.
462 is an integer and is positive.
Answer: positive integer
Step-by-step explanation:
Kinda obvious
Pecan Theatre Inc. owns and operates movie theaters throughout Florida and Georgia. Pecan Theatre has declared the following annual
dividends over a six-year period: Year 1, $16,000; Year 2, $32,000; Year 3, $116,000; Year 4, $126,000; Year 5, $138,000; and Year 6,
$152,000.
During the entire period ended December 31 of each year, the outstanding stock of the company was composed of 20,000 shares of cumulative
preferred 2% stock, $100 par, and 100,000 shares of common stock, $15 par.
Required:
1. Determine the total dividends and the per-share dividends declared on each class of stock for each of the six years. There were no dividends
in arrears at the beginning of Year 1. Summarize the data in tabular form.
Note: If required, round your answers to two decimal places. If the amount is zero, enter "0".
Preferred Dividends
Common Dividends
Total
Dividends
Year
Total
Per Share
Total
Per Share
Year 1
$ 16,000
16,000
0.80
0
0
Year 2
32,000
32,000
1.60
0
0
Year 3
116,000
Year 4
126,000
Year 5
138,000
Year 6
152,000
Pirya can bike 150 meters in 20 seconds at this rate how long would it take her to ride 3000 meters
Answer:
400 seconds
Step-by-step explanation: 150/20=7.5 meters per second
3000/7.5=400 seconds
Answer:
40 seconds
Step-By-Step Explanation:
150 x 20 = 3000
20 x 20 = 40
Answer = 40 seconds
Hope this helps :D
Find an expression which represents the sum of (10x - 4y) and (4x -8y) in simplest terms.
Answer:
14x - 12y
Step-by-step explanation:
Let's write the sum:
(10x - 4y) + (4x -8y)
Because we're only doing addition and subtractaction, we can drop the parentheses that aren't preceded by a minus sign, they don't change the order.
10x - 4y + 4x - 8y
as long as we don't change the sign preceding each component, we can reorder as we wish
10x + 4x - 4y - 8y
(10x + 4x) - (4y + 8y)
note that because we added a parenthesis preceded by a - the sign inside changed.
We perform additions inside of the parentheses:
10x + 4x = 14x
4y + 8y = 12y
and we arrive at the final result:
14x - 12y
Books are on sale for $7. Peter has $30 dollars in his wallet. How many books can he buy?( interpret the remainder)
Answer:
He can buy 4 books with 2 dollars remaining
Step-by-step explanation:
30/7 = 4 R2
Answer: 4 books.
Explanation: First you divide $30 by 7, and you get 4 and 2/7 (2/7 as the remainder) left over. So you can't have 4 and 2/7 books, it has to be a whole number.
Therefore, he can buy 4 books. I hope this helped!
(-17)(-6)
A -23
B 102
C -102
D 2.8
Answer:
haha you are not going anywhere else to say it
ASAP!!!!. Given the functions f(x) = 2r-7 and gr)= 5x +9, find the value of x for which fx) g(x).
For f(g(x)) it's f(5x+9)=2r-7
For g(f(x)) it's g(2r-7)=5x+9
Rewrite the formula to solve for the positive value of r in terms of h and v.
Answer:
[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
The formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
Where
r is radius of cone and h is its height
We need to solve the above formula for r.
Cross multiplying both sides of the given formula
[tex]3V=\pi r^ 2h[/tex]
Dividing both sides by πh.
[tex]\dfrac{3V}{\pi h}=\dfrac{\pi r^2 h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
So, the formula for r is [tex]\sqrt{\dfrac{3V}{\pi h}}[/tex]
Given points open parentheses minus 2 comma space 3 close parentheses and Syntax error. which expression can be used to find the distance between the two points?
Answer:
well, i think that it's l-2l + l9l
Step-by-step explanation:
hope its right:)
10 POINTS
MIDDLE SCHOOL 8TH GRADE MATH
Need some help with this question can anyone please give me the answer?
people really be asking for entire essays on here.....
Answer:
well they're just copy pasting the questions from their essay response homework so...
Step-by-step explanation:
Find the area of a circle whose radius is
52 km. Round to nearest tenth
Answer:
8494.87 is the actual answer but the rounded version is 8494.9
Step-by-step explanation:
3.142×52^2=8494.866535
8494.9 nearest tenth
which of the following is equivalent to the radical expression below when x > 0?
Answer:
c Sorry am not sure
Step-by-step explanation:
What is the value of the digit in the ones place in each number?431
Answer: 1
Step-by-step explanation:
400 is for 4( the hundredths place)
30 is for 3(the tens place)
1 is for 1( the ones place)
Fred spent half of his allowance on a game at Target. Then he earned an extra $20 by mowing his grandparents’ lawn. After he did this, he had $30 left. Write an equation to find what Fred's allowance is.
Use X as a variable
The equation to find what Fred's allowance is will be 0.5x + 20 = 30
How to compute the equation?Let the variables be x.
From the information, Fred spent half of his allowance on a game at Target. Then he earned an extra $20 by mowing his grandparents’ lawn. After he did this, he had $30 left.
This will be:
(1/2 × x) + 20 = 30
0.5x + 20 = 30
Therefore, the equation to find what Fred's allowance is will be 0.5x + 20 = 30
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1.) x + 2x =
Could you help me solve this
Answer:
3x
Step-by-step explanation:
we don't know the value of x and we know we have 3 x's so we just add them together. But if we didn't know what ask for as we would just times that by 3