Answer:
4/15 cocoa would be left if we made cookies
Step-by-step explanation:
4/6- 2/5
= 4(5)- 2(6)/30
= 20-12/30
=8/30
=4/15
After making the cookies using 2/5 cup of cocoa from the initial 4/6 cup, you would subtract 12/30 cup from 20/30 cup to find that you would have 4/15 cup of cocoa left.
Explanation:To determine how much cocoa you would have left after making the cookies using 4/6 cup of cocoa and using 2/5 cup for the recipe, you would need to subtract the amount used from the initial amount. To perform the subtraction, you first need to have the quantities expressed with a common denominator. The least common denominator for 6 and 5 is 30.
Convert 4/6 cup to an equivalent fraction with a denominator of 30: (4 × 5) / (6 × 5) = 20/30 cup.
Convert 2/5 cup to an equivalent fraction with a denominator of 30: (2 × 6) / (5 × 6) = 12/30 cup.
Now you can subtract the amount of cocoa used for the cookies from the total amount you have:
Remaining cocoa = Initial amount - Amount used = 20/30 cup - 12/30 cup.
Remaining cocoa = (20 - 12) / 30 = 8/30 cup of cocoa.
To simplify this, divide both the numerator and denominator by their greatest common divisor, which is 2:
Remaining cocoa = 4/15 cup. So you would have 4/15 cup of cocoa left after making the cookies.
Jessica is a custodian at Oracle arena. She waxes 20 mi squared of the floor 3/5 of an hour. Jessica waxes the floor at a constant rate. At this rate how many square meters can she wax per hour.
The correct answer is:
Jessica can wax approximately 34,533,185 square meters per hour at her constant rate of waxing the floor.
To find out how many square meters Jessica can wax per hour, we first need to convert the square miles to square meters, then divide by the time taken.
1. Convert square miles to square meters:
Since 1 mile = 1609.34 meters, to convert square miles to square meters, we square this conversion factor:
[tex]\[ 1 \text{ mile}^2 = (1609.34)^2 \text{ meters}^2 \] \[ 1 \text{ mile}^2 = 2,589,988.36 \text{ meters}^2 \][/tex]
So, 20 square miles would be:
[tex]\[ 20 \text{ miles}^2 \times 2,589,988.36 \text{ meters}^2/\text{mile}^2 = 51,799,767.2 \text{ meters}^2 \][/tex]
2. Calculate the rate per hour:
Jessica waxes 20 square miles in [tex]\( \frac{3}{5} \)[/tex] of an hour.
So, her rate per hour is:
[tex]\[ \frac{20 \times 2,589,988.36}{\frac{3}{5}} \text{ meters}^2/\text{hour} \][/tex]
To simplify the calculation, we'll first find the reciprocal of [tex]\( \frac{3}{5} \): \[ \frac{1}{\frac{3}{5}} = \frac{5}{3} \][/tex]
Now, we multiply the reciprocal by 20 square miles:
[tex]\[ 20 \times 2,589,988.36 \times \frac{5}{3} \text{ meters}^2/\text{hour} \] \[ \text{meters}^2/\text{hour} = 34,533,184.8 \][/tex]
So, Jessica can wax approximately [tex]\( 34,533,184.8 \)[/tex] square meters per hour at her constant rate.
Evaluate the expression
-2+12-2^3/2^0•3
Answer:
After evaluating the expression, the result is 2/3
Step-by-step explanation:
Let's evaluate the expression given to us:
-2 + 12 - 2³/ 2⁰ * 3
-2 + 12 - 8/ 1 * 3 ⇒ 2⁰ = 1 and 2³ = 8
-10 + 12/ 3
2/3
After evaluating the expression, the result is 2/3
Select the correct answer.
If the point (4,-2) is included in a direct variation relationship, which point also belongs in this direct variation?
Answer:
(-4,2)
Step-by-step explanation:
Answer:
(-4,2)
Step-by-step explanation:
The area of a trapezium shaped field is 480m the distance between two parlel sides is 15m and one of the parrellel side is 20m find the other parralel side
The other parallel side is 44 m
Step-by-step explanation:
Let us revise the formula of the area of a trapezium
[tex]A=\frac{1}{2}(b_{1}+b_{2})h[/tex] , where
[tex]b_{1}[/tex] and [tex]b_{2}[/tex] are its parallel basesh is its height (The distance between the two parallel bases)∵ The area of a trapezium is shaped field is 480 m²
∴ A = 480 m²
∵ The distance between two parallel sides is 15 m
∴ h = 15 m
∵ One of the parallel side is 20 m
∴ [tex]b_{1}[/tex] = 20 m
We need to find [tex]b_{2}[/tex]
Substitute all these value in the rule of the area below
∵ [tex]A=\frac{1}{2}(b_{1}+b_{2})h[/tex]
∴ [tex]480=\frac{1}{2}(20+b_{2})(15)[/tex]
- Multiply the two sides by 2
∴ [tex]960=(20+b_{2})(15)[/tex]
- Divide both sides by 15
∴ [tex]64=20+b_{2}[/tex]
- Subtract 20 from both sides
∴ [tex]44=b_{2}[/tex]
The other parallel side is 44 m
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Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for
every 3 days of practice. Which equation can be used to determine m, the number of measures Harita still needs to
memorize, as a function of d, the number of days of practice since she began learning the piece?
Om = 72 - 150
Om= 90 - 60
Om = 101 - 210
Om= 108 - 3d
What is d?
m = 90 - 6d is the equation to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece
Solution:
Given that Harita must memorize 90 measures of music for her cello solo at a concert
To find: equation to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece
Let "m" be the number of measures Harita still needs to memorize
Let "d" be the number of days of practice since she began learning the piece
Given that She plans on memorizing 18 new measures for every 3 days of practice
Rate per day is given as:
[tex]\frac{18}{3} = 6[/tex]
Therefore she memorises 6 per day
Therefore, the equation that relates 'm' to 'd' is:
m = total measures of music she must memorise - (number of measures she memorises per day x d)
m = 90 - 6(d)
m = 90 - 6d
Thus the required equation is found
Answer:
m = 90 - 6d is the equation to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece
Step-by-step explanation:
Maria finds a local gym that advertises 102 training sessions for $767. Find the cost of 117 training sessions.
Answer:
$986
I attempted to do the simple math. I feel brain dead right now.
The diagram below shows twelve 30-60-90 triangles placed in a circle so that the hypotenuse of each triangle coincides with the longer leg of the next triangle. The fourth and last triangle in this diagram are shaded. The ratio of the perimeters of these two triangles can be written as m/n where m and n are relatively prime positive integers. Find m + n
Answer:
m+n = 337
Step-by-step explanation:
Lets start from the first triangle, It is given to be as 30-60-90.
The hypotenous of first rectangle be 2x, then other sides are by default x and
[tex]\sqrt{3}(x)[/tex] , using laws of trigonometry.
(sin(30) = 0.5 and cos(30) = [tex]\frac{\sqrt{3}}{2}[/tex])
The perimeter of first triangle is ,
= [tex]2x + x + \sqrt{3}(x) = x(3+\sqrt{3}) = \sqrt{3}x(1+\sqrt{3})[/tex]
Now, for second triangle, the longer leg is 2x, and similarly again,
other 2 sides are [tex]\frac{2x}{\sqrt{3}} and \frac{4x}{\sqrt{3}}[/tex].
Again the perimeter of triangle comes out as,
= [tex]\sqrt{3}(x)(1+\sqrt{3})(\frac{2}{\sqrt{3}})[/tex]
Thus, the repeating pattern is identified. The consecutive perimeters differ by, multiplying by factor [tex]\frac{2}{\sqrt{3}}[/tex]
Thus, we can say that perimeter of 4th triangle is,
= [tex](\frac{2}{\sqrt{3}})^{3}(X)[/tex], where X is the repeating constant.
And of 12th triangle is,
= [tex](\frac{2}{\sqrt{3}})^{11}(X)[/tex],
Evaluating the above ratio, we get,
= [tex]\frac{81}{256}[/tex]
Thus, m =256 and n=81.
Thus, m+n = 256+81 = 337.
The graph of y = (x - 2)(x + 4) is shown. What is the y-intercept of this graph?
Answer:
-8 i think
Step-by-step explanation:
The y-intercept of the graph for the function y = (x - 2)(x + 4) is found by setting x to zero, which results in a y-intercept of -8.
Explanation:The y-intercept on a graph represents the point where the curve or line crosses the y-axis.
To find the y-intercept of the graph of y = (x - 2)(x + 4), you need to determine the value of y when x is zero. By substituting x with 0 in the equation,
we calculate the y-intercept:
y = (0 - 2)(0 + 4)y = (-2)(4)y = -8Therefore, the y-intercept of the graph is -8.
Reduce to simplest form.
-5/9+ (-7/12)
Answer:
-41/36
Step-by-step explanation:
-5/9 + -7/12
x4 x3
-20/36 + -21/36
Negative + Negative = Negative
-41/36
Simplfy - > Can't, it's in the simpliest form.
4 friends evenly divided up a n-slice pizza. One of the friends,Harris, ate 1 fewer slice than he received. How many slices of pizza did Harrison eat? Write your answer as an expression
Answer:
Step-by-step explanation:
(n/4)-1
Divide total slices by 4 friends then subtract 1 to get Harrison’s amount
The owner of the Outdoor Furniture Center decides to use the 120% markup. At the end on
the season, he wants to sell all the benches that are in stock. He sells the benches for 20% off
What is the total price of a bench with this discount plus a 5% sales tax.
Answer: The total price of a bench is 1.008x.
Step-by-step explanation:
Since we have given that
Let the cost price be 'x'.
Mark up % = 120%
So, Mark up value would be
[tex]\dfrac{120}{100}x\\\\=1.20x[/tex]
Discount % = 20%
Amount of discount is given by
[tex]\dfrac{20}{100}\times 1.2x\\\\=0.2\times 1.2x\\\\=0.24x[/tex]
So, it becomes,
Amount after discount is given by
[tex]1.2x-0.24x\\\\=0.96x[/tex]
Sales tax = 5%
Amount of sales tax would be
[tex]\dfrac{100+5}{100}\times 0.96x\\\\=\dfrac{105}{100}\times 0.96x\\\\=1.05\times 0.96x\\\\=1.008x[/tex]
Hence, the total price of a bench is 1.008x.
A rectangular field has a perimeter of (10a - 6 ) meters and a width of 2a meters. write a polynomial to represent the length
Answer:
The length of the rectangular field is (3 a - 3) meters
Step-by-step explanation:
Given as :
The Perimeter of rectangular field = p = ( 10 a - 6 ) meters
The width of the rectangular field = w = 2 a meters
Let The length of the rectangular field = L meters
Now From The perimeter formula
Perimeter of rectangular field = 2 × Length + 2 × width
Or, p = 2 × L + 2 × w
Or, ( 10 a - 6 ) meters = 2 × L meters + 2 × 2 a meters
Or, 10 a - 6 = 2 × L + 4 a
Or, 10 a - 4 a - 6 = 2 L
Or, 6 a - 6 = 2 L
∴ L = [tex]\dfrac{6 a - 6}{2}[/tex]
i,e L = 3 a - 3
So, The length of the rectangular field = L = (3 a - 3) meters
Hence,The length of the rectangular field is (3 a - 3) meters Answer
help a girl out thank you
Answer: number 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
The total number of restaurant purchased meals that the average person will eat in a restaurant, and a car, or at home in a year is 171 . The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Twenty more restaurant purchased meals will be eating in a restaurant than at home. Find the number of restaurant purchased meals eaten in a restaurant, the number eaten in a car, and the number eating at home.
Answer:
80 restaurant purchased meals are eaten in a restaurant31 meals are eaten in a car60 meals are eaten at homeStep-by-step explanation:
Let us suppose r be the total number of meals eaten in a restaurant
Let us suppose c be the total number of meals eaten in a car
Let us suppose h be the total number of meals eaten in a home
The total number of meals eaten in a restaurant, in a car or at home is given as 163. Hence, [tex]r + c + h = 171.....[A][/tex]The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Hence, [tex]c + h = r + 11.....[B][/tex]Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. Hence, [tex]r = h + 20.....[C][/tex]Substituting Equation [B] into [A],
[tex]r + c + h = 171.....[A][/tex]
[tex]r + r + 11 = 171[/tex]
[tex]2r + 11 = 171[/tex]
[tex]2r = 160[/tex]
[tex]r = 80[/tex]
Putting [tex]r = 80[/tex] in [tex]r = h + 20.....[C][/tex]
[tex]80 = h + 20[/tex]
[tex]h = 60[/tex]
Putting [tex]r = 80[/tex] and [tex]h = 60[/tex] in [tex]r + c + h = 171.....[A][/tex]
[tex]80 + c + 60 = 171[/tex]
[tex]c = 171 - 60 - 80[/tex]
[tex]c = 31[/tex]
Therefore,
80 restaurant purchased meals are eaten in a restaurant31 meals are eaten in a car60 meals are eaten at homeVerification:
[tex]r + c + h = 171[/tex]
Putting [tex]r = 80[/tex], [tex]c = 31[/tex] and [tex]h = 60[/tex] in [tex]r + c + h = 171[/tex]
[tex]80 + 31 + 60 = 171[/tex]
[tex]171 = 171[/tex]
Keywords: number, equation
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What do you know about the slope when X2 - X1 = 0 ?
Answer:
slope is undefined
Step-by-step explanation:
Using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
If x₂ - x₁ = 0
Since division by zero is undefined then the slope of the line is undefined
This applies to a vertical line parallel to the y- axis
if Jerry can type an average of 35 words per minute about how long will it take him to type a four-page documentary that has 125 words on each page
Answer:
About 14.29 minutes
Step-by-step explanation:
Each page has 125 words
There are 4 pages
SO, total number of words:
125 * 4 = 500 words
The rate of typing is 35 wpm (words per minute)
So, to find time it will take to type 500 words is found by dividing the number of words (500) by the rate (35), so we have:
500/35 = 14.2857 minutes
So, it will take about 14.29 minutes to type up the whole documentary
Circles!!! NEED HELP!!!
Picture:
Answer: [tex]x=105\°[/tex]
Step-by-step explanation:
You can identify from the given figure that the angle that measures 70 degrees is formed by two intersecting Chords.
It is important to remembe that, by definition:
[tex]Angle\ Formed\ by\ Two\ Chords =\frac{1}{2}(Sum\ of\ Intercepted\ Arcs)[/tex]
Based on this, you know that:
[tex]70\°=\frac{35\°+x}{2}[/tex]
Having this equation, the final step is to solve for "x" in order to find its value. You get that this is:
[tex](70\°)(2)=35\°+x\\\\140\°=35\°+x\\\\140\°-35\°=x\\\\x=105\°[/tex]
There are 6 forks in the silverware drawer there are twice as many spoons as knives How many picecs of silverware are there in all? Only the answer
Answer:
30 or 52
I'm not sure. Sorry. I tried my best. Don't let the "Helping Hand" fool you. You see you said 6 forks and twice as many spoons which equals 12+6. Then "as" knives. I got confused there. I think there it's either 12 or twice as many knives as spoons. In other words, 12×2.
6 + (6 × 2) + (6 × 2) = 30
6 + (6 ×2) + (12 × 2) = 52
12z-7z-2=13 solve for z
Answer: z = 3
Step-by-step explanation: To solve this equation for z, we can first combine our like terms on the left side of the equation. Since 12 and 7 both have z after their coefficient, we can subtract 12z - 7z to get 5z.
Now we have 5z - 2 = 13.
To solve from here, we add 2 to the left side of the equation in order to isolate 5z. If we add 2 to the left side, we must also add 2 to the right side. On the left side, the -2 and +2 cancel out. On the right, 13 + 2 simplifies to 15.
Now we have 5z = 15.
Solving from here, we divide both sides of the equation by 5 to get z alone. On the left side, the 5's cancel out and we are simply left with z. On the right side, 15 divided by 5 simplifies to 3 so we have z = 3.
The surface are of a cylinder is given by the formula SA=2pir^2+2pirh,where r is the radius of the base of the cylinder and h is the height of the cylinder. Solve the formula for h in the space given below.show all the steps.
Answer:
[tex]h=\frac{SA}{2\pi r}-r[/tex]
Step-by-step explanation:
The surface area of a cylinder is equal to
[tex]SA=2\pi r^{2} +2\pi rh[/tex]
Solve for h
That means ----> isolate the variable h
subtract 2πr² both sides
[tex](SA-2\pi r^{2})=2\pi rh[/tex]
Divide by 2πr both sides
[tex]\frac{SA-2\pi r^{2}}{2\pi r}=h[/tex]
Rewrite
[tex]h=\frac{SA-2\pi r^{2}}{2\pi r}[/tex]
Simplify
[tex]h=\frac{SA}{2\pi r}-r[/tex]
Help meee!!!! In this diagram the area of the saller square is .....
Answer:
The area of the larger square is 20 [tex]cm^2[/tex]
Step-by-step explanation:
Given:
The area of the smaller square = [tex]10 cm^2[/tex]
To Find:
The are of the larger square = ?
Solution:
The diagonal of the smaller square = diameter of the circle = sides of the larger square
The diagonal of the smaller square is
=>[tex]\sqrt{2(10)}[/tex]
=>[tex]\sqrt{20}[/tex]
=>[tex]\sqrt{2\times 2 \times 5}[/tex]
=>[tex]2\sqrt{5}[/tex]
Now this diagonal is equal to the side of the larger square
so the are of the larger square is
=>[tex](2\sqrt{5})^2[/tex]
=>[tex](2\sqrt{5}) \times (2\sqrt{5}) [/tex]
=> 20 [tex]cm^2[/tex]
in a candy store a,$12.00 jar is labeled "37% off what is the discount? what is the sale price of the jar of candy
Answer:
$7.56
Step-by-step explanation:
37%=0.37
0.37*12=4.44
12-4.44=7.56
Answer:
$7.56
37% of 12= 4.44
12-4.44
would some one please solve part A for me I have been try to solve it for a while thank you very much .
Step-by-step explanation:
4x + 10 = 32
4x = 32 - 10
4x = 22
x = 11/2
if we add 4 to both sides of the equation :
4x + 10 + 4 = 32 + 4 ➡ 4x + 14 = 36
4x = 36 - 14 ➡ 4x = 22 and x = 11/2
as you can see the value for x didn't change because when we add/subtract or multiple/divide same number from both sides of an equation the result won't change.
Amanda decided to save the money that she earned babysitting to buy school clothes. Amanda wants to buy two pairs of jeans that cost $32 each, three shirts that cost $18 each, and a jacket that costs $54. How much money does Amanda need to buy all of the clothes that she wants?
Answer:
Step-by-step explanation:
Two pairs of jeans cost $32 dollars so multiply 32 x 2 and get $64.
Three shirts cost $18, multiply 18 x 3 to get $54.
One jacket costs $54 so just do 1 x 54 and you will get $54.
54 + 54 + 64 = $172.
I hope this helped!
Amanda needs $172 to buy all the clothes she wants.
Explanation:To calculate the total cost of the clothes Amanda wants to buy, we need to add up the cost of each item.
Cost of two pairs of jeans: 2 x $32 = $64Cost of three shirts: 3 x $18 = $54Cost of one jacket: $54To find the total cost, we add up these amounts:
= $64 + $54 + $54
= $172.
Therefore, Amanda needs $172 to buy all the clothes she wants.
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Write an inequality to describe the relationship between -1 2/3 and - 1/4
Answer:
- 1 2/3 < 1/4
Step-by-step explanation:
hope this helps!!
The relationship between the numbers -1 2/3 and -1/4 in an inequality is -1 2/3 > -1/4. This is because -1 2/3 is closer to zero than -1/4, meaning in the negative number line, -1 2/3 is greater than -1/4.
Explanation:To create an inequality that describes the relationship between the given numbers, -1 2/3 and -1/4, first convert them into the same form. Both of these numbers are negative, but -1 2/3 is greater because it is closer to zero.
So the inequality which represents this relationship is -1 2/3 > -1/4.
Let's convert them into improper fractions to make it easier to understand.
So, -1 2/3 becomes -5/3 and -1/4 remains the same as -1/4. Hence our inequality becomes -5/3 > -1/4, which confirms that -1 2/3 is greater than -1/4.
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Need help breaking this down step by step
Distribute and combine
1/2(n-8)+7-n
Answer:
[tex]3-\frac{1}{2}n[/tex]
Step-by-step explanation:
We will use the distributive property shown below to break it down first.
Distributive Property: [tex]a(b-c)=ab-ac[/tex]
The expression is:
[tex]\frac{1}{2}(n-8)+7-n[/tex]
Let's distribute:
[tex]\frac{1}{2}(n-8)+7-n\\=\frac{1}{2}(n)-\frac{1}{2}(8)+7-n[/tex]
Now, we multiply:
[tex]\frac{1}{2}(n)-\frac{1}{2}(8)+7-n\\=\frac{1}{2}n-4+7-n[/tex]
Now we combine like terms (variables and numbers separately):
[tex]\frac{1}{2}n-4+7-n\\=-4+7-n+\frac{1}{2}n\\=3-\frac{1}{2}n[/tex]
This is the simplified expression.
Peggy is thinking of a number such that when twice the number is added to three times one more than the number she gets the same result as when she multiplies four times one less than the number. What number is Peggy thinking of?
Answer:
-7
Step-by-step explanation:
Lets assume the number Peggy is thinking of be "x".
Now as given, when twice the number is added to three times one more than the number. We can write it as
∴ [tex]2x+3(x+1)[/tex]--- Equation 1
Again, it is given that Peggy gets the same result as when she multiplies four times one less than the number.
∴ [tex]4(x-1)[/tex]-- equation 2
Next, we can equate both the equation 1 and 2 as it is given that result is same.
[tex]2x+3(x+1)= 4(x-1)[/tex]
Let´s distribute 3 into [tex](x+1)[/tex] and 4 into [tex](x-1)[/tex]
⇒ [tex]2x+3x+3=4x-4[/tex]
⇒ [tex]5x+3=4x-4[/tex]
Subtract both side by 4x and 3
∴ [tex]x=-7[/tex]
∴ Peggy was thinking of -7
A person invests 3000 dollars in a bank. The bank pays 5.75% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 7200 dollars?
Answer:
15.7 years
Step-by-step explanation:
Use the formula for compound interest. A = P(1 + i)ⁿ
A is the total amount of money. A = 7200
P is the principal, starting money. P = 3000
i is the interest per compounding period in decimal form. Since interest is compounded annually, i = 0.0575
n is the number of compounding periods. n = ?
Substitute the information into the formula and isolate n.
A = P(1 + i)ⁿ
7200 = 3000(1 + 0.0575)ⁿ Solve inside the brackets
7200 = 3000(1.0575)ⁿ
7200/3000 = 1.0575ⁿ Divide both sides by 3000
2.4 = 1.0575ⁿ
n = (㏒ ans) / (㏒ base)
n = (㏒ (2.4)) / (㏒ (1.0575))
n = 15.659..... Exact answer
n ≈ 15.7 Rounded to the nearest tenth of a year
Therefore the person must leave the money in the bank for 15.7 years until it reaches 7200 dollars.
Ribbon a is 1/3. M long. It is 2/5 M shorter than ribbon B. How long is Ribbon B?
Ribbon B is [tex]\frac{11}{15}[/tex] meters long
Solution:
Given that,
Ribbon A is 1/3 meter long. It is 2/5 meter shorter than ribbon B
To find: length of Ribbon B
From given information in question,
Length of Ribbon A = [tex]\frac{1}{3} \text{ meter }[/tex]
Length of Ribbon A is 2/5 meter shorter than ribbon B
Therefore we can say,
Length of Ribbon A = length of ribbon B - [tex]\frac{2}{5}[/tex]
[tex]\frac{1}{3} = \text{ length of ribbon B } -\frac{2}{5}\\\\\text{length of ribbon B } = \frac{1}{3} + \frac{2}{5}\\\\\text{length of ribbon B } = \frac{ 5 + 6}{15} = \frac{11}{15}[/tex]
Therefore ribbon B is [tex]\frac{11}{15}[/tex] meters long
what is the lcm and gcm of 12:56
Step-by-step explanation:
[tex]\begin{array}{c|cc}12&2\\6&2\\3&3\\1\end{array}\qquad\qquad\begin{array}{c|cc}56&2\\28&2\\14&2\\7&7\\1\end{array}\\\\12=\boxed{2}\cdot\boxed{2}\cdot3\\\\56=\boxed{2}\cdot\boxed{2}\cdot2\cdot7\\\\GCF(12,\ 56)=\boxed{2}\cdot\boxed{2}=4\\\\LCM(12,\ 56)=\boxed{2}\cdot\boxed{2}\cdot3\cdot2\cdot7=168[/tex]