Solution :
We have to find the largest fraction in each group.
a). [tex]$\frac{5}{6}$[/tex] and [tex]$\frac{29}{36}$[/tex]
[tex]$\frac{5}{6}$[/tex] → when we divide the number 5 with 6, we get 0.833
[tex]$\frac{29}{36}$[/tex] → when we divide 29 by 36, we get the value 0.805
Therefore, in this group, [tex]$\frac{5}{6}$[/tex] is the largest fraction.
b). [tex]$\frac{5}{12}$[/tex] and [tex]$\frac{3}{8}$[/tex]
[tex]$\frac{5}{12}$[/tex] → when we divide the number 5 with 12, we get 0.416
[tex]$\frac{3}{8}$[/tex] → when we divide 3 by 8, we get the value 0.375
Therefore, in this group, [tex]$\frac{5}{12}$[/tex] is the largest fraction.
c). [tex]$\frac{2}{5}$[/tex] and [tex]$\frac{19}{45}$[/tex]
[tex]$\frac{2}{5}$[/tex] → when we divide the number 2 with 5, we get 0.40
[tex]$\frac{19}{45}$[/tex] → when we divide 19 by 45, we get the value 0.42
Therefore, in this group, [tex]$\frac{19}{45}$[/tex] is the largest fraction.
d). [tex]$\frac{5}{7}$[/tex], [tex]$\frac{13}{14}$[/tex] and [tex]$\frac{19}{21}$[/tex]
[tex]$\frac{5}{7}$[/tex] → when we divide the number 5 with 7, we get 0.714
[tex]$\frac{13}{14}$[/tex] → when we divide 13 by 14, we get the value 0.928
[tex]$\frac{19}{21}$[/tex] → when we divide 19 by 21, we get the value 0.904
Therefore, in this group, [tex]$\frac{13}{14}$[/tex] is the largest fraction.
y = x + 8
4x – 2y = -12
Answer:
x = 14
y = 22
Step-by-step explanation:
y = x + 8
4x - 2y = -12
Solve
_____________
Since we see that the first equation has y alone, we can substitute it into the values of y in the second equation.
4x - 2(x + 8) = -12
Distribute :
4x - (2(x) + 2(8)) = -12
4x - 2x +16 = -12
Combine like terms :
2x + 16 = -12
Subtract 16 from both sides :
2x = -28
Divide 2 from both sides to get x alone :
x = 14
Now that we know what x is, substitute it in the first equation to get y :
y = (14) + 8
y = 22
Answer:
(2 , 10) or x = 2 & y = 10
Step-by-step explanation:
y = x + 8
4x – 2y = -12
1. Substitute x + 8 in for the y in the other equation.
2. Solve for x
3. Take the solution for x and substitute the number in for the x in y = x + 8.
4. Solve for y.
5. Your answer is the result.
4x - 2(x + 8) = -12 Distributive Property
4x - 2x - 16 = -12 Combine like terms
2x - 16 = -12 Isolate the x, so start by moving -16
+ 16 +16
2x + 0 = 4 Delete the 0. It is a place holder you don't need
2x = 4 Isolate the x by dividing both terms by 2.
2 2
x = 2
y = x + 8 Substitute the 2 in for x and solve the one step equation.
y = 2 + 8
y = 10
Rita has 10 centimeters of
ribbon. She cuts the
ribbon into 8 equal pieces.
What is the length, in
centimeters, of each
piece of ribbon?
Answer: 1.25
Step-by-step explanation:
because it is
Christian is planning a vacation and finds an airplane ticket that cost 180$. He found a promo code offering 17% off. Write a single algebraic expression that can be used to find the cost of Christian’s ticket after the discount.
Answer:
83/100 x 180
Step-by-step explanation:
We have to find the cost of the ticket after the discount.
100% - 17%= 83%
83% of the total percentage of the original price that he needs to pay.
So we do:
83/100 x 180
So, this would be the expression.
Hope this helps!:)
John had 30 sneakers, with 18 of the black. What is the ratio of the sneakers that are not black
Answer:
18:12
Step-by-step explanation:
30-18=12
18:12
Find the area of equilateral triangle with side a. Please answer with completely simplified exact values. Answer: A = sq. Units
Solution :
It is given that the length of a side of a triangle is given by 'a'.
It is an equilateral triangle.
So the three sides will be of equal length and is a, a, a units.
Now the semi perimeter of the equilateral triangle is given by :
[tex]$S=\frac{a+a+a}{2}$[/tex]
[tex]$=\frac{3}{2}a$[/tex]
Therefore, using the Heron's formula, we can find the area of the equilateral triangle.
Area of the equilateral triangle is given by :
[tex]$A =\sqrt{S(S-a)(S-a)(S-a)}$[/tex]
[tex]$A =\sqrt{\frac{3a}{2}\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)}$[/tex]
[tex]$A=\frac{\sqrt3}{4}a^2$[/tex] square units.
please help seems easy just can’t figure out the answer
Answer:
b is 125
Step-by-step explanation:
Micheal plays 1/15 of a song in 1/5 of a minute. How many minutes will it take to play the whole song?
Answer:
3 minutes
Step-by-step explanation:
To find how many minutes it will take to play the whole song, multiply 1/5 by 15
15(1/5)
= 3
So, it will take 3 minutes to play the whole song
Answer:
Given :-Micheal plays 1/5 part of song in 15 minTo Find :-Time taken to complete whole song
Solution :-Let the time taken be x
Now,
x = 1/5 of 15
x = 15/5
x = 3 min
Step-by-step explanation:
[tex] \\ [/tex]
3x-12y=216 solve for y fully reduced
3x-12y=216
-3x. -3x
-12y=216-3x
÷-12. ÷-12
Y= -18+1/4x
I think
I'm confused on this
Answer:
y= -2/3x +4
Step-by-step explanation:
(0,4) and (6,0)
m= (y2-y1)/(x2-x1)
m= (0-4)/(6-0)
m= -2/3
y-y1=m(x-x1)
y-4= -2/3(x-0)
y-4= -2/3x
y= -2/3x +4
Answer:
D
Step-by-step explanation:
Almost positive it's D. When you take two points on the line, you'll get a slope of 2/3. Since it's going down left to right, it's going to be negative. SOOO -2/3. The y-intercept is 4 because, well that's where the line crosses the y-axis.
What is the MAD of these numbers 1,1,4,5,5,5,6,7,7,10,10?
Please give an explanation
Answer:
2.2314
Step-by-step explanation:
To find the mean absolute deviation of the data, start by finding the mean of the data set.
1+1+4+5+5+5+6+7+7+10+10= 61
61÷11= 5.5-2.5= 2.2
Example:
Find the MAD of 2,4,6,8
Step 1 :
Find the mean of the data :
(2+4+6+8) / 4 = 20/4 = 5
Step 2 :
Find the distance between each data and mean.
Distance between 2 and 5 is 3
Distance between 4 and 5 is 1
Distance between 6 and 5 is 1
Distance between 8 and 5 is 3
Step 3 :
Add all the distances :
3+1+1+3 = 8
Step 4 :
Divide it by the number of data :
8 / 4 = 2
PLEASE HELP!
James ran 28 miles in `2\frac{1}{3}`hours. What was his rate in miles per hour?
Write the expression, then solve. Must show all work.
Answer:
15 mph
Step-by-step explanation:
28mi=2 1/3
2 1/3 = 2 hrs 20min
110min
28/110=.254 mi per min
.25*60=15 mi per hrs
Find the area of the trapezoid a21 b22.50 c11.25 d42
Write as a product (5c-3d)^2-9d^2
Answer:
25c^2-30cd
Step-by-step explanation:
The product of expression is,
⇒ 5c (5c - 6d)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (5c - 3d)² - 9d²
Now, We can write the expression in form of product as;
⇒ (5c - 3d)² - 9d²
⇒ (5c - 3d)² - (3d)²
⇒ (5c - 3d - 3d) (5c - 3d + 3d)
⇒ (5c - 6d) (5c)
⇒ 5c (5c - 6d)
Thus, The product of expression is,
⇒ 5c (5c - 6d)
Learn more about the mathematical expression visit:
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jalen lost 12 pounds in the first 3 weeks of his diet. After this point , his weight loss slowed by half. If he lost a total of 84 pounds , how many weeks did it take him?
Which 2 equations would you use to solve this system?
—
The difference of two numbers is 4. Their sum is 32. What are the numbers?
• x + y = 4
• x - y = 4
• x + y = 32
• x - y = 32
Answer:
x-y=4
and
x+y=32 is your equation
difference of two number =x-y is equal to 4
sum of two number=x+y is equal to 32
x-y=4.......(1)
x+y=32.......(2)
adding equation 1 and 2
x-y +x+y=4+32
2x=36
x=36/2=16answer
substituting value of y in equation 1
16-y=4
16-4=y
y=12 answer
Please help me with the question please ASAP ASAP please please ASAP please please help please please ASAP please please
Answer:
Ok so since this is a vertical angle you will need to set it in a equation and solve it. Not sure if my answer would be right but let me know. I have attached a picture of me solving it. Hope this helps, thank you !!
HELP PLZZZZZzZZzzzzzz
Answer:
43.98
Step-by-step explanation:
10x-3y=3 Can somebody find the slope for me please
Answer:
Y=-1+10/3x
Step-by-step explanation:
The slope is 10/3x and the point is -1. I think this is correct, but I’m not sure
Answer:
y=10/3
Step-by-step explanation:
10x-3y=3
-10x -10x move 10x
-3y=-10x+3
-3. -3. -3. divide
y=10/3x
Write the equation of the line perpendicular to y = 6/5x + 4/5 that passes through the point (-3,2).
Answer:
The equation of the perpendicular line of the given line is
[tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]
Step-by-step explanation:
Step(i):-
Given the equation of the line
[tex]y = \frac{6}{5} x + \frac{4}{5}[/tex]
cross-multiplication, we get
5y = 6x +4
The equation of the straight line is 6x - 5y +4=0
The equation of the perpendicular line to the given line is
b x - ay +k=0
The equation of the perpendicular line to the given line is -5x-6y +k=0
This line passes through the point (-3,2)
⇒ - 5(-3) -6(2)+k=0
⇒ 15 -12 +k=0
⇒ 3 +k=0
⇒ k =-3
Step(ii):-
The equation of the perpendicular line is
-5x-6y-3=0
5x + 6y +3 =0
6y = -5x-3
[tex]y = \frac{-5}{6} x -\frac{3}{6}[/tex]
Final answer:-
The equation of the perpendicular line of the given line is
[tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]
Company cuz closed at $52.93 per share with a P/E ratio of 15.17 how much were earnings per share
Answer: $3.49
Step-by-step explanation:
Earnings per share shows how much of the profit of the company every share will get.
You can use it to calcutae the P/E ratio through the following formula:
P/E ratio = Share price / Earnings per share
15.17 = 52.93 / EPS
EPS * 15.17 = 52.93
EPS = 52.93 / 15.17
= $3.49
2xy +1 = 1
solve for x
Answer:
the answer of this question is 0
A. First, convert this equation into y-intercept form
y = 2x + 1
B. 2 is the slope: 1 is the y-intercept
Then, plug in 1 for y and solve
C. 1 = 2x + 1
Therefore, x is 0
Which best defines the term empirical evidence?
evidence based on facts and figures
evidence based on emotions
evidence based on another person’s testimony
evidence based on experience and observation
Answer:
the fourth answer, hope this can help
Answer:
evidence based on experience and observation
Step-by-step explanation: 100%
In the figure, [tex] \angle[/tex] AOB = [tex] \frac{1}{2} [/tex][tex] \angle[/tex] BOC and [tex] \angle[/tex] BOC = [tex] \frac{2}{3} [/tex][tex] \angle[/tex] COD . Show that [tex] \angle[/tex] COD = [tex] \frac{1}{2} \angle[/tex] AOD mentioning necessary axioms.
~Thanks in advance !
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]1)\text{ }\angle AOD=180[/tex] Straight Angle Theorem
[tex]2)\text{ } \angle AOB+\angle BOC+\angle COD=\angle AOD[/tex] Angle Addition
[tex]3)\text{ } \angle AOB+\angle BOC+\angle COD=180[/tex] Substitution
[tex]\displaystyle 4)\text{ } \angle AOB=\frac{1}{2}\angle BOC[/tex] Given
[tex]\displaystyle 5)\text{ } \angle BOC=\frac{2}{3}\angle COD[/tex] Given
[tex]\displaystyle 6)\text{ } \frac{1}{2}\angle BOC+\frac{2}{3}\angle COD+\angle COD=180[/tex] Substitution
[tex]\displaystyle 7)\text{ } \frac{1}{2}\Big(\frac{2}{3}\angle COD\Big)+\frac{2}{3}\angle COD+\angle COD=180[/tex] Substitution
[tex]\displaystyle 8)\text{ } \frac{1}{3}\angle COD+\frac{2}{3}\angle COD+\angle COD=180[/tex] Multiplication
[tex]\displaystyle 9)\text{ } 2\angle COD=180[/tex] Addition
[tex]10)\text{ } \angle COD=90[/tex] Division Property of Equality
[tex]\displaystyle 11)\text{ } \frac{1}{2}\angle AOD=90[/tex] Division Property of Equality
[tex]\displaystyle 12)\text{ } \angle COD=\frac{1}{2}\angle AOD[/tex] Substitution
Answer:
this is your answer. good luck.
A store offers 20% off all items. Let x represent the original purchase price.
Answer:
what are we soposed to do?
Step-by-step explanation:
The Bill for dinner at Dave and Busters last night was $62.20. The waiter received an 18% tip. How much of a tip did the waiter receive?
please, PLEASE answer this fast! I have 1 hour left before I pass it. Please help :( answer it properly! Thank you in advance.
-This is grade 8 math-
1.What elements belong to Set A and Set B?
2. Is there a repetition of the first elements in the ordered pairs? How about in second elements of the ordered pairs?
3. Does the set of ordered pairs represent a relation?
4. How is a relation represented?
Answer:
The range is is set of all second pairs (y-coordinates) while the domain is the set of first pairs(x-coordinates)
Step-by-step explanation:
The cost(c)of chicken varies directly as its weigth(w)equation
Answer:
[tex]c = kw[/tex]
Step-by-step explanation:
Given
c varies directly as w
Required
Write the equation
c varies directly as w.
Mathematically, this is represented as:
[tex]c\ \alpha\ w[/tex]
Convert to equation.
[tex]c = kw[/tex]
Where k is the constant of variation
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
C=12
Step-by-step explanation:
2x12=24
3x12=36
5x12=60
Can someone help pls? With working out if possible :)
Answer:
x=7/2
Step-by-step explanation:
first, multiply 3/4 and 5/8 into the () to get rid of them.
3/4x -3/4 = 5/4x -5/2
next, combine like terms
5/4x -3/4x = -3/4 +5/2
1/2x = -3/4 +10/4 = 7/4
divide both sides by 1/2
x= 7/2
A scale drawing of a house shows 9cm x10cm. If
6cm=12 ft, what are the actual dimensions?
Answer:
18ft x 20ft
Step-by-step explanation:
(I'm kinda in a rush so I can't explain right now, sorry!)
Hope that helped though :)
The actual dimensions of the house is 18 feet by 20 feet.
Scaling is used to either increase or decrease the size of a figure to create an image.
Given that a scale of 6cm to represent 12 ft. Hence:
9 cm = 9 cm * (12 ft. per 6 cm) = 18 feet.
10 cm = 10 cm * (12 ft. per 6 cm) = 20 feet.
The actual dimensions of the house is 18 feet by 20 feet.
Find out more on scaling at: https://brainly.com/question/25324744