Describe or show how to find the following product using both an algorithm and a diagram:1/4×2/3
Answers
An algorithm is the series of steps followed to do calculations especially by a computer.
[tex]\frac{1}{4}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{2}{12}[/tex] =[tex]\frac{1}{6}[/tex]
The algorithm would use the multiplication of the numerator with the numerator and the denominator with the denominator for solving simple multiplication of the proper fractions.
[tex]\frac{1}{4}[/tex] × [tex]\frac{2}{3}[/tex]
= (1×2)/(4×3) ⇒ the numerators are multiplied and so the denominators
= 2/12
Now 2 is taken as common from both 2 and 12 ( numerator and denominator)
= (2/2 ) 1/6 taking 2 as common factor
= 1/6 cancelling 2 by 2
The diagram can be used to explain the same fact.
1 is multiplied with 2 and 4 is multiplied with 3.
Therefore we get 2 as numerator and 12 as denominator.
2/12 is further reduced to 1/6
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Related Questions
The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen,
playroom, and dining room are in the ratio 4 : 3 : 2. The combined area of these three rooms is 189
square feet. What is the area of each room?
Answers
area of playroom: 3x = 3(21) = 63 ft^2
area of dining room: 2x = 2(21) = 42 ft^2
Divide 54 in to two parts so that four times the greater equals five times the less
Answers
Answer:
Let the both the parts be 'x' and 'y'
x>y
We know that 4x = 5y
so x = 5y/4
x + y = 54
Replacing x we get
(5y/4) + y = 54
(5y +4y)/4 = 54
9y = 216
y = 24
Replacing y in ' x+y = 54'
we get x = 30
Step-by-step explanation:
Hence the larger part is 30 whereas the smaller part is 24
at what ordered pair do the lines x=-2 and y=5 intersect?
Answers
Answer: (-2, 5)
Step-by-step explanation:
The line x = -2 is simply a vertical line with an x-intercept of -2.
The line y = 5 is simply a horizontal line with a y-intercept of 5.
Question 9 Annabelle lives at Bermondsey in London. She has to speak at a conference in Birmingham at 10.30am. It will take her an hour from her home to get to Euston Rail Station, from where she will get a train to Birmingham. The train journey from Euston to Birmingham is an hour and 10 minutes. Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour. The meeting venue in Birmingham is a 5-minute walk from the station. What is the latest time that Annabelle can leave home, if she is to make it on time for the meeting in Birmingham? Show your working. (8 marks)
Answers
Answer:
Step-by-step explanation:
working backwards
the five minute walk
10:30 - 0:05 = 10:25
train ride to Birmingham
10:25 - 1:10 = 9:15
Next earliest train departure time
9:05
Getting to Euston Station
9:05 - 1:00 = 8:05 am
Probably wise to leave a couple of minutes earlier to allow for minor emergencies on the way to Euston Station or to account for potential clock synchronization errors.
The train schedule already allows an additional 10 minutes of buffer time after boarding.
Can someone help me with this
Answers
Answer:
The answer is 39.2
Step-by-step explanation:
The first thing you want to do is multiply both numbers by them selves like this: 9x8 and 4x8. Then after you do that, add the sum of those equations and you have your answer. Think about it like this, for 8x4, all it is is just 8+8+8+8. If solving it that way is easier for you, go for it! Hope I could help!
You could have used a calculator
3)Calcular la distancia entre los puntos A = (2,1) y B =(-3,2)
Answers
Answer:
Step-by-step explanation:
You use the distance formula
d = √ (x1-x2) ² + (y1- y2) ²
d = √ (2 - (-3)) ² + (1 - 2) ²
d = √ (25 + 1)
d = √26
d = 5.2
Draw the image of quadrilateral ABCD when translated by the directed line segment v. Label the image of A as A', the image of B as B', the image of C as C' and the image of D as D'.
Answers
Answer:
Try this on for size.
Step-by-step explanation:
The image of quadrilateral ABCD translated as A'B'C'D' is given below.
What is a transformation of a shape?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object. From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.
The translation does not change the shape and size of the geometry. But changes the location.
The image of quadrilateral ABCD translated as A'B'C'D' is given below.
The graph of the quadrilateral and its translated new quadrilateral is attached below.
More about the transformation of the shape link is given below.
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Maths Question here.
Please answer - for homework
10 points available.
Answers
Answer:
a)first 3 terms =5, 8,11
b) 10th term is 32
A piece of wood is 12 feet long, and a nail is 3 inches long. The piece of wood is how many times as long as the nail?
Answers
Answer:
the piece of wood is 48 times as long as the nail.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
you take the length of the wood and divide it by the length of the nail, so 12 divided by 3 well you can also skip-count until you reach 12, regardless you get 4
What is the equation of a line perpendicular to y= -3x+4 that passes through (-1, 6)
Answers
Given the linear equation, y = -3x + 4 and the point, (-1, 6):
We can assume that the slope of the other line must be 1/3, because if you multiply 1/3 by -3, the product will be -1.
Substitute the values if the given point, (-1, 6) and the slope of the other line, m = 1/3 into the slope-intercept form to solve for the y-intercept (b) of the other line:
y = mx + b
6 = 1/3(-1) + b
6 = -1/3 + b
Add 1/3 to both sides
6 + 1/3 = -1/3 + 1/3 + b
19/3 = b
Therefore, given the slope of 1/3 and the y-intercept, b = 19/3, the equation of the other line is:
y = 1/3x + 19/3
Attached is a screenshot of the graph of both equations, proving that both lines are perpendicular from each other, and that y = 1/3x + 19/3 passes through point (-1, 6).
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simplify 8x+10x-5y+3+9y
Answers
Answer:
18x + 4y + 3
Step-by-step explanation:
8x + 10x - 5y + 3 + 9y(8x + 10x) + (-5y + 9y) + (3)18x + 4y + 3Therefore, the answer is 18x + 4y + 3.
Answer:
[tex]18x+4y+3[/tex]
Step-by-step explanation:
Add the like terms.
[tex]8x+10x=18x[/tex]
[tex]-5y+9y=4y[/tex]
⇒ [tex]18x + 4y+3[/tex]
Thus, the answer is [tex]18x + 4y + 3[/tex]
In 9 minutes, a conveyor belt can move 1,000 bushels of corn into a storage bin. A smaller belt can move 1,000 bushels to the storage bin in 13 minutes. If both belts are used, how long will it take to move 1,000 bushels to the storage bin?
Answers
Answer:
In 117min. there will be 9,000 bushels in a storage bin.
Step-by-step explanation:
LCM of 13 and 9 is 117, then add from there.
Jonas selects two numbers from this list and adds them for a sum of 392.03.
Which two numbers does he select? *put smallest decimal first
:: 174.97
:: 289.10
:: 217.06
:: 164.16
Answers
4.153) If the area of the shaded area in the drawing below is 56 inches square and the volume is 1400 inches cubed what is the height.
Answers
9514 1404 393
Answer:
25 inches
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
Filling in the given values, we have ...
1400 in³ = (56 in²)h
h = (1400 in³)/(56 in²) = 25 in . . . . . . divide by the coefficient of h
The height of the triangular prism is 25 inches.
Answer: The answer is 25 inches, I hope my answer is very helpful to your own question and have the rest of the day! :D
Sincerely,
Jason Ta,
The ambitious of Brainly and the role of the TDSB and WHCI Student of the high school.
Step-by-step explanation:
For the equation
y + 2 = 6(x - 5),
the line has a slope of 6 and contains what point?
Answers
Answer:
(5, -2)
Step-by-step explanation:
1. The equation "y + 2 = 6(x - 5)" is in the form of point-slope. Point slope form is [tex]y-y_1=m(x-x_1)[/tex] where y_1 = y-coordinate of point, m = slope, and x_1 = x-coordinate of point.
2. Given the information above, the point (5, -2) and slope of 6 makes the equation y + 2 = 6(x - 5) because:
[tex]y - y_1 = m(x-x_1)[/tex] [tex]y - (-2) = 6(x-5)[/tex] [tex]y + 2=6x-5[/tex]Therefore, the point is (5,-2).
Find the value of x from the figure given below:
Answers
Answer:
[tex]sinB = \frac{x}{34}=\frac{5}{17} => \frac{x}{34}=\frac{5}{17}\\\\<=> x= \frac{5}{17}.34 =10[/tex]
Step-by-step explanation:
An unknown fraction is between 0 and 1. Which is true about the equivalent percent and decimal?
Answers
Answer:
D
Step-by-step explanation:
"The percent is greater than 0 and less than 100, and the decimal is between 0 and 1."
PLEASE HELP IF YOU CAN ASAP PLEASE THIS IS ALGEBRA
1. What is the domain of the following points? (picture will be added
a) {-7, 3, 7} b) {-3, 3, 7} c) {-7, -3, 3, 7} d) {3,7}
2. What is the slope of the line through the points (-2, -1) and (4, 3)?
a) ⅖ b) 3/2 c) 5/2 d) ⅔
Answers
Answer:
1. (I need the picture for this one)
2. m=2/3 / Slope = 2/3
Step-by-step explanation:
Solving Steps: Reasoning:
1.) m=(y2-y1)/(x2-x1) [Slope Formula]
2.) m=(x1=-2, y1=-1) (x2=4, y2=3) [Assign Value to ordered pairs]
3.) m=(3-(-1))/(4-(-2)) [Substitution P.O.E.]
4.) m=(3+1)/(4+2) [Negative minus negative = positive]
5.) m=4/6 [Addition]
6.) m=2/3 [Simplification]
Therefore, the slope (m) = 2/3. To find the Domain, you will need to list all the X-coordinates from your ordered pairs. To find the range, you will need to list all the Y-coordinates from your ordered pairs.
You can use these formula:
Domain={x1, x2, x3, x4, x5…}
Range={y1, y2, y3, y4, y5…}
You just have to input your values into these formulas. An ordered pair looks like this: (5, 4). The left value is the x-coordinate (5), and the right value is the y-coordinate (4).
Please mark Brainliest!!!
A pet store has 15 dogs and 6 cats, which is a ratio of _____?
Answers
Answer:
5:2
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
15:6 or 5:2
Step-by-step explanation:
The number of dogs and cats can be simplified by dividing the two values by 3.
? : 11 = 1/3 : 6
I need help
Answers
Answer:
11/18
Step-by-step explanation:
let n represent the number to be found
simplify the ratio on the right by multiplying both parts by 3
we now have
n/11 =11/18 ( cross-multiply )
18n = 11 ( divide both sides by 18 )
n = 11/18
what are the steps for using a compass and straightedge
Answers
Answer:
Step-by-step explanation:
ESTA GOOGEL N
1. A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. (a) Write an equation to represent this situation. (b) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%?
Answers
Step-by-step explanation:
[tex] \frac{85}{100} \times 15[/tex]
=12.75≈13
someone please help!!
Answers
A home goods store sells 385 lamps in the month of July. If it sells 200 more
lamps in the next month, how many lamps does it sell in August?
Answers
Answer:
585
Step-by-step explanation:
We knew that the store sold 385 lamps in month of July. 200 more lamps were sold the next month which is August. Thus by addition, 585 lamps were sold in August.
What is addition?
Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.
Lamps sold in July = 385
Given: 200 more lamps were sold in next month i.e., August.
Lamps sold in August = 385 + 200 = 585
Learn more about addition here
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Graph the equation. y=−1/2(x−3)(x−7)
Answers
Answer:
x y
3 0
4 3
2 5
2 6
3 2
7 0
Step-by-step explanation:
Select all polynomial expressions that are equivalent to 6X^4 + 4X^3 - 7X^2 + 5X +8.
A. 16x^10
B. 6X^5+ 4X^4 - 7X^3+ 5X^28.
C. 6X^4 + 4X^3 - 7X. ^2 + 5X +8.
D. 8 + 5X 7x^2 _ 4x^3 + 6x^4
E. 8 + 5X - 7x^2 + 4x^3 + 6x^4
Answers
what is 4 7/9 as improper fraction
Answers
Answer:
43/9
Step-by-step explanation:
4 • 9 = 36
36 + 7 = 43
Keep the original denominator
(2+a+b)²
Include how you solved the problem
Answers
Answer:
=[tex]4+a^{2} +b^{2}[/tex]
Step-by-step explanation:
=[tex]2^{2} +a^{2} +b^{2}[/tex]
=[tex]4+a^{2} +b^{2}[/tex]
Need answer on this one Please !!
Answers
Answer:
It should be [tex]\frac{3}{14}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}=\frac{7}{14}[/tex]
[tex]\frac{2}{7} =\frac{4}{14}[/tex]
[tex]\frac{4}{14}+ \frac{7}{14}=\frac{11}{14}[/tex]
Using f(x) = 2x + 7 and g(x) = x - 3, find f(g(-2)
PLEASEEEEEEE HELP OR ELSE I WILL DIE
Answers
Answer:
Step-by-step explanation:
g(-2) = -2 - 3 = -5
f(-5)= 2(-5) + 7 = -10 + 7 = -3