Answers
Answer: i) 512,000 cm³ ii) 512,000 cc iii) 512 litres
Step-by-step explanation:
Volume (V) of a cube is side (s) cubed: V = s³
Given: s = 80 cm
i) V = (80 cm)³
= 512,000 cm³
ii) 512,000 cm³ = 512,000 cc
iii) 512,000 cm³ × 1 liter/1000 cm³ = 512 liters
Related Questions
A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation. Provide a justification for each step of the solution process. LaTeX: 7\:=\:3\left(t-1\right)-2\left(t-3\right)7 = 3 ( t − 1 ) − 2 ( t − 3 ) LaTeX: 7\:=\:3t\:-3-2t\:+67 = 3 t − 3 − 2 t + 6.
Answers
Answer: 7
Step-by-step explanation: You first distribute 3, and -2. This gets you 7 = 3t -3 -2t +3. Then you add like terms which gets you, 7 = t.
A, b, and c are collinear, and B is between a and c. The ratio of AB to AC is 1:2. If A is at (7,-1) and B is at (2,1) what are the coordinates of point C
Answers
Answer:
C(-3,3)
Step-by-step explanation:
Given
A = (7,-1)
B = (2,1)
AB:AC = 1:2
Required
Determine the coordinates of C
Since, B is between A and C; we need to determine ratio BC as follows;
[tex]AB:AC = 1:2[/tex]
Convert to division
[tex]\frac{AB}{AC} = \frac{1}{2}[/tex]
AC = AB + BC;
[tex]\frac{AB}{AB + BC} = \frac{1}{2}[/tex]
Cross Multiply
[tex]2 * AB = 1 * (AB + BC)[/tex]
[tex]2 AB = AB + BC[/tex]
[tex]2AB - AB = BC[/tex]
[tex]AB = BC[/tex]
Divide both sides by BC
[tex]\frac{AB}{BC} = 1[/tex]
Rewrite as
[tex]\frac{AB}{BC} = \frac{1}{1}[/tex]
Write as ratio
[tex]AB:BC = 1:1[/tex]
Next is to determine the coordinates of C as follows;
Because B is between both points. we have:
[tex]B(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where
[tex]m:n = AB:BC = 1:1[/tex]
[tex]B(x,y) = B(2,1)[/tex]
[tex]A(x_1,y_1) = A(7,-1)[/tex]
So; we're solving for x2 and y2
[tex]B(2,1) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where
Solving for x2;
[tex]x = \frac{mx_2 + nx_1}{m+n}[/tex]
[tex]2 = \frac{1 * x_2 + 1 * 7}{1+1}[/tex]
[tex]2 = \frac{x_2 + 7}{2}[/tex]
Cross Multiply
[tex]2 * 2 = x_2 + 7[/tex]
[tex]4 = x_2 + 7[/tex]
[tex]x_2 = 4 - 7[/tex]
[tex]x_2 = -3[/tex]
Solving for y2;
[tex]y = \frac{my_2 + ny_1}{m+n}[/tex]
[tex]1 = \frac{1 * y_2 + 1 * -1}{1+1}[/tex]
[tex]1 = \frac{y_2- 1}{2}[/tex]
Cross Multiply
[tex]2 * 1 = y_2 - 1[/tex]
[tex]2 = y_2 - 1[/tex]
[tex]y_2 = 2 + 1[/tex]
[tex]y_2 = 3[/tex]
Hence, the coordinates of C are: C(-3,3)
hector worked monday, tuesday and thursday from 9:00 am to 4:30 pm with a half hour lunch each day. How many total hours did he work?
Answers
A company rents out 19 food booths and 30 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $50 plus $8 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answers
Answer:
2500 + 215d
Step-by-step explanation:
0.18 repeating fraction in the simplest form.
Answers
Answer:
2/11
Step-by-step explanation:
Let's say our fraction is x = 0.1818181818...
The trick is to multiply x by 10²=100 in this case, since there are two repeating digits, and then subtract the original x.
So, in fact you are subtracting 0.181818 from 18.181818 which effectively cancels the entire bit after the decimal point.
You get:
100x - x = 18
Which you can solve:
99x = 18
x = 18/99 = 2/11
find the perimeter of the triangle to the nearest unit A(-2,3) B(2,1) C(-2,1)
Answers
Answer:
10 units
Step-by-step explanation:
We can find the length of the hypotenuse of this right triangle using the Pythagorean theorem.
AB² = AC² +BC²
AB² = 2² +4² = 20
AB = √20 ≈ 4.47
Then the perimeter is ...
P = AB +BC +CA = 4.47 +4 +2 = 10.47
P ≈ 10 units
Evaluate \dfrac{e}{4}+2f-3 4 e +2f−3start fraction, e, divided by, 4, end fraction, plus, 2, f, minus, 3 when e=12e=12e, equals, 12 and f=\dfrac12f= 2 1
Answers
I have same question and I need help
|-6| = -|6| Are they equal to each other of which one has more value ?
Answers
Answer:
no. |-6| is +
Step-by-step explanation:
whenever a number has the symbol in the box, it makes it positive no matter what. -|6| = -6 while |-6| = +6
Answer:
|-6| has more value than -|6|
Step-by-step explanation:
|-6| = -|6| are not equal
|-6| = 6 absolute value of a number is positive no matter what is the sign
-|6| = -6 because the minus is out the absolute sign
Tentukan nilai x yang memenuhi ketidaksamaan. |3x + 12| < 2 |x - 6|
Answers
Answer:
x∈(-24, 0) ⇒ -24 < x < 0Step-by-step explanation:
|3x + 12| < 2 |x - 6|
|3(x + 4)| < 2 |x - 6| ⇒ -4 and 6 are "zeros"
1°. x∈(-∞, -4> ⇒ |3x + 12| = - (3x + 12) and 2|x - 6| = -2(x-6)
-(3x + 12) < -2(x - 6)
-3x - 12 < -2x + 12
-x < 24
x > -24 ∧ x∈(-∞-4> ⇒ x∈(-18, -4>
2°. x∈(-4, 6) ⇒ |3x + 12| = 3x+12 and 2|x - 6| = -2(x-6)
3x + 12 < -2(x - 6)
3x + 12 < -2x + 12
5x < 0
x < 0 ∧ x∈(-4, 6) ⇒ x∈(-4, 0)
3°. x∈(6, ∞) ⇒ |3x + 12| = 3x+12 and 2|x - 6| = 2(x-6)
3x + 12 < 2(x - 6)
3x + 12 < 2x - 12
x < -24
x < -24 ∧ x∈(6, ∞) ⇒ x∈∅
x∈1°∪2°∪3°
x∈(-24, -4>∪(-4, 0)∪∅
x∈(-24, 0) ⇒ -24 < x < 0
What is the value of a in the equation 5 a minus 10 b equals 45, when b equals 3?
Answers
Answer:
15
Step-by-step explanation:
5a - 10b = 45
5a - (10×3) = 45
5a - 30 = 45
5a = 45 + 30
5a = 75
a = 15
What is commutative property
Answers
Commutative property of addition:
The property that states the sum of an addition problem will be the same no matter the order of its numbers.
a + b = b + a
50% of what number is 11.72
Answers
Answer:
50% of what number is 11.72 = 23.44
Step-by-step explanation:
50% is half, so simply doube it.
Is 65 + -58 positive or negative?
Answers
Find the value of X round to the nearest tenth. I need help.
Answers
Answer:
x ≈ 22.1°
Step-by-step explanation:
Using the law of cosines, then
cosC = [tex]\frac{a^2+b^2-c^2}{2bc}[/tex]
with a = 19, b = 14, c = 8 and C = x, thus
cos x = [tex]\frac{19^2+14^2-8^2}{2(19)(14)}[/tex]
= [tex]\frac{361+196-64}{532}[/tex]
= [tex]\frac{493}{532}[/tex], thus
x = [tex]cos^{-1}[/tex] ([tex]\frac{493}{532}[/tex] ) ≈ 22.1° ( to the nearest tenth )
David's airplane trip took 3.8 hours. For one-half of that time, the airplane flew at a speed of 680 miles per hour, and for the rest of the time, it flew at a speed of 740 miles per hour. What distance did David travel?
Answers
Answer:
2,698 mi
Step-by-step explanation:
3.8 hr × 1/2 = 1.9 hr
680 mi/hr × 1.9 hr = 1,292 mi
740 mi/hr × 1.9 hr = 1,406 mi
1,292 mi + 1,406 mi = 2,698 mi
Can someone please tell me if this makes sense in English?, is well written and I have used the expressions well? Please I was learning English.
Dear Grievance Manager
I am writing this letter to bring your attention that I am not satisfied with your quality of sending services at "Adornet".
The last month, on 30th July exactly, I bought in a online way in "Adornet" because i live in other country. It was a collectiable necklace, that had an hourglass in its center.
The managers told me that the order should arrive in two weeks, but it arrived in three and a half weeks. I have been a regular client of your business but now I am complety disappointed, becuase when i received the package i notice that it was in bad condition and I found that the hourglass was broken. The way they packed it had been a lot more sloppy than the other times I shopped here.
i called to the shop the same day and I mentioned that they did not pack the necklace with due protection, but the shop assistant refuse to change it or make a refund. She said that it wasn't a store fault.
Please, I have always been satisfied with your services, but this time I think I'm entitled to a refund of my money and I would like to know how I can get it back. I look forward to hearing fron you soon.
Yours truly.
Gaby D.C
Answers
Answer:
Well Written
Step-by-step explanation:
Great Job
Point O is on line segment NP Given OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3 determine the numerical length of OP .
Answers
Answer: 11 units.
Step-by-step explanation:
Given: Point O is on line segment NP.
i.e. NP is the combination of NO and OP.
i.e. NP = NO+OP (1)
Since , OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3
Substitute these values in (1), we get
[tex]3x + 4 = 2x - 3 + 4x - 5[/tex]
[tex]\Rightarrow\ 3x+4=2x+4x-3-5\\\\\Rightarrow\ 3x+4=6x-8\\\\\Rightarrow\ 6x-3x=8+4\\\\\Rightarrow\ 3x=12\\\\\Rightarrow\ x=\dfrac{3}{12}=4[/tex]
i.e. x= 4
Now, OP = 4(4)-5= 16-5= 11 units
Hence, the numerical length of OP is 11 units.
7 kilogramos cuanto miligramos son
Answers
Answer:
7e+6
Step-by-step explanation:
7e+6 miligramos
Nate runs 8 miles each week. Write an expression for the number of miles he runs in n weeks. Find the number of miles Nate runs in 5 weeks.
Answers
Total miles = number of miles per week x number of weeks:
Total = 8n
For 5 weeks, replace n with 5:
Total = 8(5) = 8 x 5 = 40 miles
Answer:
8x, 40 miles
Step-by-step explanation:
He runs 8 miles each week.
8 miles x week
8 x week
To replace week, use a variable, commonly x.
8x
For 5 weeks, plug in the numbers.
x = 5
8 x 5 = 40
40 miles
Hope this helped, please mark Brainliest for everyone to see! :)
David bought two video games and a DVD. One video game cost $32.50 and the other video game cost $45.35. David spent a total of $115.65. How much did the DVD cost?
Answers
Answer:
$37.80
Step-by-step explanation:
Add the cost of the 2 video games together to get 77.85
Subtract 77.85 from the total, $115.65
$37.80
Hope this helps :-)
A class sold tickets for a dance. Student tickets cost $2 and faculty tickets cost $2.50. A total of $450 was collected and 216 tickets were sold. How many faculty tickets were sold?
Answers
If all 216 tickets sold were faculty tickets, the revenue would be 216 * 2.5, or $540
The actual revenue collected was $450. The difference between $540 and $450 is $90.
The difference between the student and faculty tickets are $2.50-$2, or .50
$90.00 / .50 = 180 student tickets sold.
That leaves 216-180, or 36 as faculty tickets.
180 student tickets at $2 = $360
36 faculty tickets at $2.50 = $90
$360 + $90 = $450
Dave has $15 to spend on an $8 book and two birthday cards(c) for his friends. how much can he spend on each card if he buys the same card for each friend?
Please do not use the equal sign, we're using the greater than >, or less than sign< !
Answers
Answer:
each card cost = $3.5
Step-by-step explanation:
to spent $15 = $8 + 2cards
$15 = $8 + 2C
$15 - $8 = 2C
$7 = 2C
C = $7 / 2
C = $3.5
therefore each card cost = $3.5
Answer:
$3.50 per card
Step-by-step explanation:
15 = 8 + 2x
x = 7 / 2
x = 3.50
Question 5 of 10
Which of the following functions best describes this graph?
Answers
Answer:
A
Step-by-step explanation:
The function that best describes the graph is y = x²-9x+1+20
What is function?A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).
Given that, a graph, we need to find its function,
The parabola is intersecting the x-axis at 4 and 5, therefore, the function in the option having value of equal to 4 and 5 is the function of the graph,
So, the first function is =
y = x²-9x+20
Put y = 0,
x²-9x+20 = 0
Factorizing the equation to get the values of x,
x²-9x+20 = 0
x²-4x-5x+20 = 0
x(x-4)-5(x-4) = 0
(x-5)(x-4) = 0
Therefore,
x = 5, 4
Since, the function is having solutions x = 5 and x = 4, therefore, the graph is of the function y = x²-9x+20.
Hence, the function that best describes the graph is y = x²-9x+1+20
Learn more about function, click;
https://brainly.com/question/12431044
#SPJ7
Paula used these steps to solve an equation: Step 1: Step 2: Step 3: Step 4: Step 5: Between which two steps did Paula use the division property of equality?
Answers
Answer:
Step 4
Step-by-step explanation:
Paula used these steps to solve an equation:
Step 1: -4(7 + 8) - 21 = 25
Step 2: -4r – 32 - 2x = 25
Step 3: -61 – 32 = 25
Step 4: -6x = 57
Step 5: x = -9.5
Between which two steps did Paula use the division property of equality?
Step 1: -4(x + 8) - 2x = 25
Opening the parenthesis
Step 2: -4x – 32 - 2x = 25
Combining x-terms
Step 3: -6x – 32 = 25
Adding 32 to both sides
Step 4: -6x = 57
Dividing both sides by -6
Step 5: x = -9.5
The Division Property of Equality states that: when both sides of an equation are divided by the same nonzero number, both sides remain equal.
The rule applies to step 4 where both sides of the equation is divided by -6(nonzero number) giving us x = -9.5
This means from the equation, x is equal to -9.5 and -9.5 is equal to x
The correct answer is step 4
Answer:it is step 4 and 5 hope this helps
Step-by-step explanation:
4x - 7 = -3x
What is the answer?
Answers
Answer:
x = 1
Step-by-step explanation:
1. Add 3x to both sides of the problem
4x + 3x - 7 = -3x + 3x-3x + 3x cancels out and leaves us with zero7x - 7 = 02. Add 7 to both sides
7x (- 7 + 7) = 0 + 7-7 + 7 cancels out7x = 73. Divide both sides by 7
7x/7 = 7/7x = 1To make sure our answer is correct we can plug in 1 to x in the problem
4(1) - 7 = -3(1)4 - 7 = -3 : TrueAnswer: x= 7
Step-by-step explanation:
4x-7= -3x First add -3x on both sides
+3x +3x
7x -7 = 0
+7 +7 add 7 to both sides
7x = 7
x = 1 divide both sides by 7
(n^(4))/(n^(4)) what does that equal?
Answers
Answer:
the answer would be 1 happy to help ya :)
Step-by-step explanation:
once again why is it so dumb???
Answers
Answer: vrey suptuidddd
Step-by-step explanation:
If (x + 5)/2 is an integer, then x must be?
Answers
Is this sum rational or irrational? Explain.
1.12 + 18/7 (1 point)
The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational.
The sum is irrational because 1.12 is irrational, and the sum of a rational number and an irrational number is irrational..
The sum is rational because both 1.12 and 18 are positive, and the sum of positive numbers is rational.
The sum is irrational because 18 is irrational, and the sum of a rational number and an irrational number is irrational.
Answers
Answer: The sum is irrational because 18/7 is irrational, and the sum of a rational number and an irrational number is irrational
Step-by-step explanation:
Given the two numbers :
1.12 and 18/7
1.12 is a rational number as it is a not a non-terminating decimal and can accurately be expressed in the form a/b, where a and b are integers, thus 1.12 is equivalent to 112 / 100
18/7 on the other hand is an irrational number as it is a non-terminating decimal.
Hence, takingbthe sum of both numbers (rational and irrational) results in an irrational output.
18 / 7 = 2.57142857....
Taking the sum of both,
1.12 + 2.57142857... = 3.69142857... ; which is irrational
Answer:
The sum is irrational because 18/7 is irrational, and the sum of a rational number and an irrational number is irrational.
Step-by-step explanation:
30 pts and will mark brainiest.
please explain.
Answers
Answer:B
Step-by-step explanation:
X+2 divide 3x^4-x+2=
3x^3-6x^2+12x-25=
52=
52/x+2
the answer is d. its simple,the reason of that is because you would set up the synthetic division using the coefficients of the numerator and the root of the denominator. divide using the rules for synthetic division.
3x 4 cubed- 6x3 cubed +12x 2 cubed-24x-z+48+ 2(z-47) over x+2