What is the common denominator of y StartFraction y minus 3 Over 3 EndFraction in the complex fraction y StartFraction y minus 3 Over 3 EndFraction divided by five-ninths StartFraction 2 Over 3 y EndFraction?.
Answers
The common denominator of the given expression is [tex]5y+6.[/tex]
Given expression,
[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }[/tex].
We have to find the common denominator.
On solving the numerator and denominator of the given expression,
[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{\frac{3y+y-3}{3} }{\frac{5y+6}{9y} }[/tex]
[tex]= \dfrac{\frac{4y-3}{3} }{\frac{5y+6}{9y} }[/tex]
[tex]= \dfrac{4y-3}{3} \times\dfrac{9y}{5y+6}[/tex]
Or,[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{3y(4y-3)}{5y+6}[/tex]
Hence the common denominator of the above expression is given by [tex]5y+6.[/tex]
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Answer:
Not A 3y(y – 3)
Not B y(y – 3)
it is either C 3Y or D 3
Related Questions
The temperature at 7:00 a.m, was 12 C, and by 7:00 p.m, it had dropped
to -10°C. Which expression represents the change in temperature:
(A 12 + (-10)
(B 12 - 10
(C -10 + 12
(D -10 - 12
Answers
Answer: D -10 - 12
Step-by-step explanation:
Temperature change is (Final T) - (Initial T)
(Final T) = -10C
(Initial T) = 12
(Final T) - (Initial T) = -10C - 12C
Temp Change - 22C
The winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles. He finished the race in 54 minutes. For the entire triathlon, what was his average speed in miles per hour?
Answers
Answer:
15 or 15.546
Step-by-step explanation:
you add all the numbers then divide by 54
Based on the information given, the speed is 20 miles per hour.
From the information given, the winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles and he finished the race in 54 minutes.
Note that 54 minutes = 0.9 hour.
The speed will be:
= (0.5 + 15 + 2.5) / 0.9
= 18/0.9
= 20 miles per hour.
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Can you please help me find number for D
Answers
Step-by-step explanation:
the slope of the line between the first 2 points must be the same as the slope between the second and the third point.
the slope is y difference / x difference.
so,
b/a = d/c
-3/1.6 = d/1.5
d = -3×1.5 / 1.6 = -4.5 / 1.6 = -2.8125
A car is 200 inches long the truck is 50% longer than the car how long is the truck
Answers
Answer:
300
Step-by-step explanation:
This question is pretty simple.
First, we just have to find 50% of 200.
So 50% is also 1/2.
1/2 of 200 is just 100. The question says that the truck is 50% LONGER than the car.
So 50% longer is 100 and 100+200(the length of the car) is 300.
The answer.
if a car travels for 3 hours its average speed is 75km/h work out the total distance the car travels
Answers
Answer:
225 km
Step-by-step explanation:
75 · 3 = 225
Answer:
225 km
Step-by-step explanation:
Distance = Speed × Time
Distance = 75km/h × 3
Distance = 225km
Write an inequality to compare the ratios 2/4 and 5/6.
Answers
Answer:
5/6>2/4
Step-by-step explanation:
5/6 is greater than 2/4
A cylindrical, wooden table top has a density of 0.42 g cm 3 and a mass of 0.25 kg.
The table top has a depth of 6 cm.
Find the radius of the table top, rounded to 1 dp.
Answers
The radius of the table top, rounded to 1 dp is 5.6 cm
From the question,
We are to determine the radius of the table top
First, we will determine the volume of the cylindrical wooden table
From the given information
Density = 0.42 g/cm³
Mass = 0.25 kg = 250 g
Using the formula
[tex]Volume = \frac{Mass}{Density}[/tex]
∴ [tex]Volume = \frac{250}{0.42}[/tex]
Volume = 595.238 cm³
Now, for the radius of the table top
Using the formula for volume of a cylinder
[tex]V = \pi r^{2}h[/tex]
Where V is the volume
r is the radius
and h is the height or depth
From the given information
h = 6cm
Putting the parameters into the formula
[tex]595.238 = \pi r^{2} \times 6[/tex]
∴ [tex]r^{2} = \frac{595.238}{6\pi }[/tex]
[tex]r^{2} =31.57835667[/tex]
[tex]r =\sqrt{31.57835667}[/tex]
r = 5.6 cm
Hence, the radius of the table top, rounded to 1 dp is 5.6 cm
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what number set does -7 belong to
Answers
Answer:
Integers
Step-by-step explanation:
Integers include both positive and negative numbers. This is the simplest answer. This set doesn't include any fractions or decimals. Integers are a subset of rational numbers, which are a subset of real numbers, which are a subset of complex numbers.
Rewrite this problem combining like terms!!
2 m − 3 m + 4
Answers
What is the slope of a line perpendicular to the line whose equation is x-y=6x−y=6. Fully simplify your answer.
Answers
Answer:
(X,Y)
(0,6)
PLEASE HELP QUESTION IN PIC.
Answers
Answer:
Perimeter= 40
Area= 120.7
Step-by-step explanation:
what is 5 7/20 written as a decamal
Answers
Answer:
5 7/20 as a decimal is 5.35
Hope that helps. x
Answer:
Step-by-step explanation:
If your question has a big number 5 and a fraction 7/20, the 5 is going to be in the left side of the decimal, like 5.something ... the 7/20 is going to be the part on the right. If you're allowed to use a calculator just divide 7÷20 and that part goes on the right of the decimal. If you're not allowed to use a calculator then change 7/20 into something/100 ... 7/20× 5/5 gives you 35/100. That is the decimal part. It is written .35 So all together you get 5 7/20 is 5.35
Help a girl out pls!!!
Answers
Answer: AA Similarity
Step-by-step explanation:
Since both shapes have two corresponding angles that are congruent, AA similarity is applied here.
On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 4, 8) and point B is at (2, negative 4). What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary. X = y =.
Answers
The x and y coordinates of point C are -2.6 and 5.2, respectively
The coordinate of the points are given as:
[tex]A = (-4,8)[/tex]
[tex]B =(2,-4)[/tex]
The ratio is given as:
[tex]m :n = 3 : 10[/tex]
The point at the given ratio is calculated as:
[tex]C = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
So, we have:
[tex]C = (\frac{3 \times 2 + 10 \times -4}{3+10},\frac{3 \times -4 +10 \times 8}{3+10})[/tex]
Simplify
[tex]C = (\frac{-34}{13},\frac{68}{13})[/tex]
[tex]C = (-2.6,5.2)[/tex]
Hence, the x and y coordinates of point C are -2.6 and 5.2, respectively
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Answer:
a
Step-by-step explanation:
hidffhhhhhhhhhhhhhhhhhhhhhhhhhd
Answers
someone please explain this
Answers
Answer:
HOPE THIS HELPS
Step-by-step explanation:
[tex]x^{2}[/tex]-14x-32 =(X+2)(X-16)
A=1
B=2
C=1
D=-16
Help me please
H please
Answers
Answer:
pi
Step-by-step explanation:
0.41g -2) + 1.2 =-(g-1) + 2.9
Answers
Answer:
g=-3repeated
Step-by-step explanation:
Krista's snow fort has an area of 6228 sq inches if it is 72 in long what is the width
Answers
Answer:
86.5 inches
Step-by-step explanation:
6228 / 72 = 86.5
Can you explain how you got the answe
Answers
Answer:
3
Step-by-step explanation:
she put 4 stickers on each car
- 12 \geq - 2 x - 15
[tex] - 12 \geqslant - 2x - 15[/tex]
what is this answer??? plssss help gotta get it done by tomorrow
Answers
Answer:
x= -3/5
Step-by-step explanation:
-12>= -2x-15
add 15 to both sides 3>= -2xdivide by -23/-2=xplz help ppl keep putting links
Answers
Answer:
∠DAB=140
∠BAC=60
∠EBF=40
∠ACB=80
∠BCG=100
Step-by-step explanation:
Don’t answer just for points please~ I need help and I’m struggling lol
Answers
Answer: 50
Step-by-step explanation:
5x + 55 = 2x + 100
5x = 2x + 45
3x = 45
x = 15
y equals angle 2
180 = 5(15) + 55 + y
180 = 75 + 55 + y
180 = 130 + y
50 = y
angle is 50
We know that:
=> m∠2 + 5x + 55 = 180°=> 5x + 55 = 2x + 100Because of 180° angle formula.
First, let's solve for x. Then we will solve m∠2.
=> 5x + 55 = 2x + 100=> 5x - 2x = 100 - 55=> 3x = 45=> x = 15Since we have found x, it is time to find m∠2.
=> 5(15) + 55 + m∠2 = 180=> 75 + 55 + m∠2 = 180=> 130 + m∠2 = 180=> m∠2 = 180 - 130=> m∠2 = 50Conclusion:Therefore, the measure of m∠2 is 50°
Hoped this helped.
[tex]BrainiacUser1357[/tex]
What is the equation of the line in standard form?
Answers
(2,2)
Step-by-step explanation:
You have to add them together and minus the negatives
A bookstore sells 2 books for $22.50 which table represents the relationship between number of books and the total price
Answers
Answer:
Can you show what are the tables?-
pls help meeeeeeeeeee
Answers
Step-by-step explanation:
VW to WY have the ratio 3/2.
VX to XZ must have the same ratio.
and VX > VW.
so,
30 and 20 is possible, as 30/20 = 3/2.
3 and 2 is not possible, because 6 > 3.
27 and 18 is possible, as 27/18 = 3/2.
13.2 and 8.8 is possible, 13.2/8.8 = 3/2.
8.7 and 5.7 is not possible, as 8.7/5.7 is not 3/2.
8.7/3 = 2.9
but 2.9×2 = 5.8 and not 5.7.
5. (27:21) Harry says there are 5 families gone on
one block alone. If there are 12 families on that
block, how many families might you expect to be
gone on a street with 60 families?
Answers
Based on the number of families that left and the number in total on that block, the expected number of families gone on the other block is 25 families.
On the first block, the proportion of families that is gone is:
= Number of families gone / Total number of families on block
= 5 / 12
If there are 60 families on a block, the number gone would be:
= Proportion of families gone x Total number of families
= 5/12 x 60
= 25 families
In conclusion, 25 families would be gone
Find out more on proportions at https://brainly.com/question/11570843.
what will be the total surface area of a cylinder if
h = 22cm
and
r = 3cm
TSA = ?
Please give me the answer plssss??
Answers
Answer:
total surface area of a cylinder is 471 cm²
Reflect parallelogram EFGH with E(-4,5), F(3,6), G(2,3) and H(-5,2) in the x-axis. what are the coordinates of F?
Answers
I need help anyone please help.
Answers
Answer:
1/4 or 1/2 good luck my guy
Step-by-step explanation: