Answer:
Any number for x will work
Step-by-step explanation:
6x-3=3(2x-1)
expand
6x-3=6x-3
add three to both sides
6x=6x
simplify
x=x
Therefore any number for x will work
Answer:
x=x
Step-by-step explanation:
6x-3=3(2x-1)
Used Distributive property to 3(2x-1)
6x-3=6x-3
Add 3 to both sides:
6x=6x
Divide 6 from both sides:
x=x
rewrite the equation by completing the square x^2-2x+1=0
Answer:
(x-1)^2=0#
Explanation:
#x^2-2x+1=0#
Let's start by subtracting #1# from both sides so that the #x# terms are isolated:
#x^2-2x=-1#
Now, let's compute #(b/2)^2# and add it to both sides of the equation:
#(b/2)^2=(-2/2)^2=1#
#x^2-2x+1=-1+1#
Let's factorize the left hand side and simplify:
#(x-1)(x-1)=0#
#(x-1)^2=0#
Two gears are both connected to the same belt. The smaller of the two gears has a radius of 4ft & the larger of the two gears has a radius of 7 ft. The larger gear is turning at a rate of 50 revolutions per minute. What is the angular velocity of the larger gear in radians/second? What is the angular velocity of the smaller gear in radians/second?
Answer:
[tex]\omega_1 = \frac{5Rad}{3s}[/tex] and [tex] \omega_2 = \frac{35Rad}{12s}[/tex]
Step-by-step explanation:
Given that the larger gear is turning at the rate 50rpm. The angular velocity, [tex]\omega_1[/tex], of the larger gear can be calculated as follows:
[tex]\omega_1 = \frac{50rev}{m} [/tex] to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:
[tex]\omega_1 = \frac{50rev}{m} \times \frac{2\pi Rad}{1rev} \times \frac{1m}{60s} [/tex]
That gives
[tex]\omega_1 = \frac{100Rad}{60s}[/tex]
Which gives:
[tex]\omega_1 = \frac{5Rad}{3s}[/tex]
This is the angular velocity of the larger gear in rads/sec.
In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by
[tex]v = r_1 \times \omega_1[/tex] where v stands for linear velocity and [tex]r_1[/tex] for radius of larger velocity.
We are given the radius of the larger gear as 7ft so we have
[tex]v = 7ft \times \frac{5Rad}{3s} = \frac{35ft}{3s}[/tex]
To get the angular velocity of the smaller gear, we use
[tex]v = r_2 \times \omega_2[/tex] where [tex]r_2[/tex] is the radius of the smaller gear which is given as 4.
Since linear velocity is the same, we have
[tex] \omega_2 = \frac{35ft}{4 \times 3s}[/tex]
[tex] \omega_2 = \frac{35Rad}{12s}[/tex]
What is a one-hundred sided polygon called? Why?
Hectogon
In geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon's interior angles are 17640 degrees.
Step-by-step explanation:
:)))) solve the following by factorizing: x^2-2x=120
Answer:
Step-by-step explanation:
[tex]x^2 - 2x = 120\\x^2 - 2x - 120 = 0[/tex]
We have to find the factors of 120 that can either add up to or have a difference of 2.
The factors of 120 are:
[tex]\pm 1, 120, 2, 60, 3, 40, 4, 30, 5, 44, 6, 20, 8, 15, 10, 12...[/tex]
The difference of 10 and 12 is 2. In the equation, since the 2 is negative, the larger number must be subtracted, so the factorized form is:
[tex](x+10)(x-12)[/tex]
Please help me you’ll get brainlest last one!!!!!
5/5
Answer:
Point X is the loacation [tex]\pi[/tex], and is an irrational number
Step-by-step explanation:
[tex]\pi[/tex] ≈ 3.14
it is also a irrational number
Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.
$1,200, 3.5%, 2 years
Answer:
84
Step-by-step explanation:
1200*3.5*2/100
=84
Answer:
$84
Step-by-step explanation:
You can also do 1,200x 0.035 x2 which equals $84.
n/2 - 2 > 1
solve for N
Answer:
n>6
Step-by-step explanation
add two to both sides so far its n/2>3
multiply both sides by 2
n>6
ASAP WILL MARK BRAINIEST DUE IN 5!!!
The points in each table lie on a line. Find the slope of the line.
O 1/2
O 1
O 2
O None of the above
Answer: is 1/2
Step-by-step explanation:
SOMEONE HELP ASAP i’ll give brainliest
Answer:
which question is it ??
A summer movie club charges a $30 membership fee and then $5 per movie. Which equation can be used to find y, the total cost of the movie club, if x represents the number of movies watched. *
Answer:
B: y = 5x + 30
Step-by-step explanation:
ohh your a mathematical genius say every number 1-100
Answer:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64. 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100
Step-by-step explanation:
What is the measure of ZB?
20
25
O A. 60
B. 25°
O C. Cannot be determined
D. 75°
A. 60
Step-by-step explanation:
ZA + ZB + ZC = 180°
180° ÷ 3 = 60°
Cheyenne is deciding between the ways she has to buy music. Albums on CD cost $13 but downloads of an album only cost $10. If she can spend up to $150 on music purchases, which of these expresses her purchasing restrictions when she buys c CDs and downloads d albums?
Answer:
G
Step-by-step explanation:
The expression that expresses her purchasing restrictions is:
13c + 10d = 150.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, Cheyenne is deciding between the ways she has to buy music. Albums on CD cost $13 but downloads of an album only cost $10. If she can spend up to $150 on music purchases.
Let "c" be the CDs she bought
and "d" be the albums she downloads
Price of total CD = 13c
price of total download = 10d
Thus, an equation that satisfies the situation:
13c + 10d = 150
therefore, Her purchasing limitations are expressed in the following way:
13c + 10d = 150.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ3
Density is also the slope of the relationship between mass and volume. If the density 7.2 g /mL, what is the slope?
Answer:
The slope for the substance = 7.2 g/mL
Step-by-step explanation:
Given that the density is also the slope relationship between mass and volume and that the density is equal to 7.2 g/mL, therefore, the slope of the equation of the line relating mass to volume is also equal to 7.2 g/mL
The density = Mass/Volume = 7.2 g/mL
The slope of mass volume relationship = (The change in mass)/(The equal change in volume)
Whereby the change is from the zero state, we have;
The slope of mass volume relationship = (Mass - 0))/(Volume - 0) = Mass/Volume
Therefore;
The value of the slope of the substance = The value of the density of the substance = 7.2 g/mL
The value of the slope for the substance = 7.2 g/mL.
xy+xw+2ay+2aw
factorise this sum
Answer:
(y+w)(x+2a)
Step-by-step explanation:
im built different
Answer:
(x+2a)(y+z)
Step-by-step explanation:
x(y+z)+2a(y+z)
(x+2a)(y+z)
????????????????????????????
Answer:
The answer is in the 4th quadrant
Step-by-step explanation:
I really hope this helped!!! have a great day. :)
Help please and thanks
Answer:
No, it is not function. The answer is the last option in the multiple choice sequence.
Step-by-step explanation:
Which of the following angles are supplementary to _1?
Plsss Help
.
The sale price of a necklace was $77. It had been marked down 30 percent for the sale. What was the original price of the necklace?
Answer:
List Price = $ 110.00
Discount Amount = $ 33.00
help me out!!
what is the area of the figure to the nearest hundredth
What is the solution to this equation? Show your work. -7n + 29 = -5(n - 7)
What is the slope of y = x + 5
plz help
will give brallest
Answer:
your answer is the very first one
Step-by-step explanation:
2x/25 = 0.4/0.15. Please Help.
Answer:
x = 1.335
Step-by-step explanation:
2x = 10/3.75
2x = 2.67
x = 1.335
please help and thanks!
Use quadratic formula to solve 16+8x+x^2=0
Answer: x=-4
Step-by-step explanation:
pls give two answers for good measure
Answer:
2nd answer choice.
Step-by-step explanation:
The inequality is x-5 greater/equal to -2 which if you simplify gives you x>= 3 and since the second answer choice has a filled-in dot which means equal to and the arrow goes to the right which means greater than.
Step-by-step explanation: To solve for x in this inequality,
your goal is the same as it would be if you were solving an
equation, to get x by itself on one side.
Since 5 is being subtracted from x, add 5 to both sides of the inequality.
On the left, the -5and +5 cancel out and on the right, -2 + 5 is 3.
So we have x ≥ 3.
When graphing, start with a closed dot at +3 because x is
not just greater than +3, it's equal to it as well.
Then draw an arrow to the right, like I have done below.
Please help with this question. Thank you
Factor x^3 - 6x^2 + 11x - 6 with steps shown
Factor the expression
3−2−52+5+6=0
Find the difference.
(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =
Answer:
Step-by-step explanation:
(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =
-x^5+7x^3+11x^2+10x-4