What is the sum of 3/12 and 2/4 ?
Answer:
9 / 12
Step-by-step explanation:
2 / 4
= ( 2 / 4 ) x ( 3 / 3 )
= ( 2 x 3 ) / ( 4 x 3 )
= 6 / 12
3 / 12 + 2 / 4
= 3 / 12 + 6 / 12
= ( 3 + 6 ) / 12
= 9 / 12
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ [/tex]
[tex] \bf \underline{To \: find-} \\ [/tex]
[tex]\textsf{between there sum = ?}\\[/tex]
[tex] \bf \underline{Solution-} \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: + \: \frac{2}{4} } \\ [/tex]
Now, find the LCM of 12, and 4 in denominator.Process how to find LCM of 4 and 12↓
[tex] \sf{\mathsf{\begin{array}{r | l} \underline2& \underline4 \: \underline {12 } \\\underline 2&\underline2 \:\underline 6 \\\underline3&\underline1 \: \underline3 \\ &\underline1 \: \underline1 \\ \end{array}} }\\ [/tex]
[tex] \sf{ LCM} = 2 \times 2 \times 3 \\ = 4 \times 3 \\ = 12 \\ [/tex]
The LCM of 12 & 4 is 12.[tex] \sf \leadsto{ \: \frac{3 + 6}{12} } \\ [/tex]
Add 3 and 6 to get 9.[tex] \sf \leadsto{ \: \frac{9}{12} } \\ [/tex]
Now, divide both numerator and denominator to get 3/4.[tex] \boxed{ \bf \leadsto{ \: \ \frac{3 }{4} }} \\ [/tex]
Therefore, the sum of 3/12 and 2/4 is 3/4.
Please help me ASAP!!!!!
Answer:
c and b
Step-by-step explanation:
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Please can someone help? As i'm not confident this is right for factorising 4b^2 + 8b + 3
Answer:
your answer is correct
Step-by-step explanation:
4b² + 8b + 3
Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term.
product = 4 × 3 = 12 and sum = + 8
The factors are 2 and 6
Use these factors to split the b- term
4b² + 2b + 6b + 3 ( factor the first/second and third/fourth terms )
= 2b(2b + 1) + 3(2b + 1) ← factor out (2b + 1) from each term
= (2b + 1)(2b + 3)
2. An apartment complex has a demand given by p = -5x + 860,
where x is the number of apartments rented and p is the price
for each apartment, in dollars. The cost of maintaining the
complex is $120 per rented apartment. There are fixed costs of
$6000.
a) Find the revenue equation.
b) Find the cost equation.
c) Find the profit equation.
d) Find the number of apartments that must be rented to break
even.
The required equations computed from the data given are :
R(x) = 860x - 5x²C(x) = 120x + 6000P(x) = 740x - 5x² - 6000Break even point = 139 gallons and 9 apartmentGiven the Parameters :
Price per apartment, p = - 5x + 860x = number of apartments rented Fixed cost = 6000Maintainance cost per apartment = $120The Revenue Function, R(x) :
Price per apartment × Number of apartments rented (-5x + 860)x ; R(x) = 860x - 5x²The Cost equation, C(x) :
Fixed cost + Maintenance cost per apartment C(x) = 6000 + 120xThe Profit function, P(x) ::
P(x) = R(x) - C(x)
P(x) = 860x - 5x² - (6000 + 120x)
P(x) = 860x - 5x² - 6000 - 120x
P(x) = 740x - 5x² - 6000
Number of apartments required to break even :
At break even ;
P(x) = 0
740x - 5x² - 6000 = 0
Divide through by 5
-x² + 148 - 1200 = 0
Using a quadratic calculator :
The roots are (139.39, 8.60)
Therefore. The company will break even at 139 apartments rented or 9 apartments.
Learn more :https://brainly.com/question/8882508
help please this is kinda difficult .
im pretty sure that the slope for both lines would be 2
Which pairs of rectangles are similar polygons?
Select each correct answer.
Similar polygons will have proportional side lengths. So, let's check each of these using proportions and cross-multiplying.
Proportion: left rectangle length / left rectangle width = right rectangle length / right rectangle width
Top Left Rectangles: Proportional
6.4 / 5.6 = 1.6 / 1.4
8.96 = 8.96
Top Right Rectangles: Not Proportional
10.2 / 6.2 = 5.2 / 1.2
32.24 does not equal 12.24
Bottom Left Rectangles: Proportional
39 / 27 = 13 / 9
351 = 351
Bottom Right Rectangles: Not Proportional
64 / 36 = 8 / 6
288 does not equal 384
Hope this helps!! :)
What is the value of this expression when a = 7 and b = -4
Answer:
[tex] \longmapsto\frac{ |2a| - b }{3} \\ = \frac{ 2|a| - b }{3} \\ = \frac{2 |7| - ( - 4) }{3} \\ = \frac{2(7) + 4}{3} \\ = \frac{14 + 4}{3} \\ = \frac{18}{3} \\ = \boxed6[/tex]
D. 6 is the right answer.A hamburger costs twice as much as a hot dog. Three hamburgers and two hot
dogs cost $21. Choose the system of linear equations that represents this problem.
A. 2y=x
2x+3y=21
B. y=2x
2x+3y=21
C.x=2y
3x+2y=21
D.y=2x
3x+2y=21
Answer:
C
Step-by-step explanation:
Hamburger = Hotdog x 2
3(Hamburger) + 2(Hotdog) = 21
Now replace with x (Hotdog) and y (Hamburger)
y = 2x
3y + 2x = 21
Evaluate 3x – 6 + 5x - 1 when x =-3
Answer:
-31
Step-by-step explanation:
1. To evaluate this expression when x = -3, we just have to plug in the x-value and simplify.
[tex]3x - 6 + 5x - 1[/tex] [tex]3(-3)-6+5(-3)-1[/tex] [tex]-9 - 6 - 15 - 1[/tex] [tex]-15 - 15 - 1[/tex] [tex]-30 - 1[/tex] [tex]-31[/tex]Therefore, the answer is -31.
helpppppp!!!!!!!! pleaseee!!!!!!!!!!
Adding all of the areas together:
5 x 6 = 30
4 x 6 = 24
3 x 6 = 18
4^2 + 3^2 = 16 + 9 = 25(square root) = 5
" " = 5
30 + 24 + 18 + 5 + 5 = 82 ft^2
What is the answer to 0.2 × 10
Answer:
2
Step-by-step explanation:
Answer:
2
as the other person said
Determine which box each reason should go in to justify each step taken to solve
the equation. Make the unused reason #4
54+2x=5x-3(2+6x)
Distributive Property
Multiplication Property
Division Property
>
Addition Property
<
Answer:
Am how should we answer this
three quarters the product two number x and y
Answer:
0.75*(x)*(y)
Step-by-step explanation:
The scale of a map says that 8 cm represents 5 km. What distance on the map (in centimeters) represents an actual distance of 8 kilometers?
Answer:
40 cm
Step-by-step explanation:
From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds? pls answer due today.
Hi Please answer this for me ill thank u and rate I Need it asap Thank U :D
Answer:4) 1. (3^4)^3=3^12 ,
2.(-10^3)^6=-10^18 others are similar...
5) 1. (2^7/2^5)=2^2,4 ,
2.(a^7/a^3)=a^4 ,
7. [(-4)^3 x (-4)^5)]/[ (-4)^2 x(-4)^3]=4^3 others are similar...
Step-by-step explanation: 4)1. step1. 3^(4x3) , 2. step1. -10^(3x6)
step2. 3^12 , step2. -10^18
5)1. step1. 2^(7-5) , 2. step1. a^(7-3)
step2. 2^(2) , step2. a^(4)
7. step1. -4^(3+5)/-4^(2+3)
step2. -4^(8)/-4^(5)
step3. 4^(8-5)
step4. 4^(3)
What is 1,432 rounded to the nearest 100?
Answer:
1400
Step-by-step explanation:
1432 is closer to 1400 than 1500 because it ends in 32 and is below 50 on the number line
Kendra is also buying souvenirs for the family reunion. She wants to spend under $2.25 for each item.
Which souvenirs cost less than $2.25 per item?
Check all that apply.
tote bags: 25 for $49.00
picture frames: 15 for $32.25
water bottles: 12 for $27.60
mugs: 8 for $15.92
T-shirts: 10 for $25.00
Answer:
1st,2nd,4th,
Step-by-step explanation:
You have to divide the price by the numbers of items!
Answer:
It's A,B,D
Hence, 1 tote bag, 1 picture frame and 1 mug cost under $2.25.
Step-by-step explanation:
For a quadrilateral ABCD inscribed in a circle of radius 1, let AB : AD = 1 : 2 and ∠BAD = 120°. Also, when the point of intersection of diagonals BD and AC is denoted by E, let BE : ED = 3 : 4. Please find the area of triangle ABD and triangle BCD. (Show work)
The area of triangle ABD = x² * √3 / 2 and The area of triangle BCD = y * √(5x² + 4y² - 2xy√5)
To find the area of triangle ABD, we can use the formula for the area of a triangle: Area = (1/2) * base * height
In triangle ABD, the base is AD and the height is the perpendicular distance from point B to line AD. Since AB : AD = 1 : 2, we can let AB = x and AD = 2x.
Now, we can use the Law of Cosines to find the length of side BD. In triangle ABD, we have:
BD² = AB² + AD² - 2 * AB * AD * cos(∠BAD)
BD² = x² + (2x)² - 2 * x * (2x) * cos(120°)
Simplifying the equation:
BD² = x² + 4x² - 4x² * (-1/2)
BD² = 5x²
Taking the square root of both sides:
BD = √(5x²) = x√5
Since BE : ED = 3 : 4, we can let BE = 3y and ED = 4y.
Now, we can find the length of side BC. In triangle BCD, we have:
BC² = BD² + CD² - 2 * BD * CD * cos(∠BCD)
BC² = (x√5)² + (2y)² - 2 * (x√5) * (2y) * cos(∠BCD)
BC² = 5x² + 4y² - 4xy√5 * cos(∠BCD)
Since the quadrilateral ABCD is inscribed in a circle, ∠BCD = 180° - ∠BAD = 60°.
BC² = 5x² + 4y² - 4xy√5 * cos(60°)
BC² = 5x² + 4y² - 4xy√5 * (1/2)
BC² = 5x² + 4y² - 2xy√5
The area of triangle ABD is given by:
Area ABD = (1/2) * AB * AD * sin(∠BAD)
Area ABD = (1/2) * x * 2x * sin(120°)
Area ABD = x² * √3 / 2
The area of triangle BCD is given by:
Area BCD = (1/2) * BC * CD * sin(∠BCD)
Area BCD = (1/2) * √(5x² + 4y² - 2xy√5) * 2y * sin(60°)
Area BCD = y * √(5x² + 4y² - 2xy√5)
Further calculations require numerical values for x and y to obtain specific areas.
For more such questions on area of triangle
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What is the zero of f?
-5
2
-2
5
Answer:
0
Step-by-step explanation:
Solve the following systems of equations. (a) x+y = 5 x-y = -1
Answer:
[tex]x + y = 5 ...(1)\\ x - y = - 1 ...(2)\\ add \: (1) + (2) \\ 2x = 4 \\ x = 2 \\ sub \: x = 2 \: in \: (1) \\ 2 + y = 5 \\ y = 3[/tex]
Which expression is equivalent to-5(3x-6/7)?
Answer:
The answer is -15x+30/7
Step-by-step explanation:
First: -5×3 is -15x
Then: You change the negative sign to a positive sign.
Last: You put 30/7
If a 4-pound roast takes 150 minutes to cook, how long should a five-pound roast take
Answer:
A 5-pound roast would take about 187.5 minutes to cook.
Divide 150 minutes by 4 pounds and you get 37.5 minutes. This would be how long it takes to cook each pound. So, you multiply 5 pounds by 37.5 and you get 187.5 minutes for a 5-pound roast to cook.
can someone please help with this one?
Answer:
Website a is cheaper by 29 cents
Step-by-step explanation:
The length of the field is 3 yards less than triple the width. What are the dimensions of the playing field
Answer:
45=w answer
Step-by-step explanation:
Here's what we know:
P = 2L + 2w
L = 3w + 3 (length is 3 yards more than 3 times the length)
P = 366
We have a value for length and perimeter, so plug them in:
366 = 2(3w + 3) + 2w
366 = 6w + 6 + 2w
366 = 8w + 6
360 = 8w
45 = w
im not completely sure how to use slope (7th grade)
Answer:
-3/2
Step-by-step explanation:
choose an x variable with it's corresponding y variable from the table.
for example -4, 19
then choose another one,
for example 0, 13
-4 will be the x1 and 19 will be y1 (-4=x1) (19=y1)
the second pair,
0 will be x2 and 13 will be y2 (0=x2) (13=y2)
then you need to subtract y1 from y2: 13 - 19 = (-6)
then you need to subtract x1 from x2: 0 - (-4) = 4
now you have y = (-6)
and x = 4
and since rise over run, aka y = rise, x = run, you put y over x. (divide)
y/x -6/4 simplify = -3/2
WILL MARK BRAINLIEST REAL ANSWERS ONLY
Mark can read 20 pages of a book in 1 hour. His school assignment is to da 260 page book. Track how many hours he has left to read. Number of Pages left hours to read. What is the unit rate? And write an equation for the line. (also please help me graph it)
Answer:
for the table
x y
0 260
1 240
2 220
3 200
Unit Rate is -20
we know this because the question tells us, he reads 20 pages per hour
the equation would be
y = -20x + 260
2.2 Evaluating Functions Practice
Answer:
3.
A = 11
B = -4
C = 7
D = 27
Step-by-step explanation:
You are given the numbers, 27+n,[tex]\frac{n}{5}[/tex],[tex]\sqrt{n+144}[/tex]. Find the smallest value of n so that all of the numbers in the set are natural numbers.
The smallest value of n that makes all of the numbers in set natural numbers is
It's the answer If you liked it Plz BRAINLIEST
Answer:
27+n,\frac{n}{5}
5
n
,\sqrt{n+144}
n+144
Step-by-step explanation:
27+n,\frac{n}{5}
5
n
,\sqrt{n+144}
n+144
Please lmk if it is true or false
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Yes, the above statement is True.
Answer:true
Step-by-step explanation:
