The solution of the given complex fraction will be;
[tex]=\dfrac{2(y-4x)}{-5x+3y}[/tex]
What is complex fraction?The complex fraction is defined as the fraction whose numerator and denominator contains fractions in it.
The given complex fraction is
[tex]\dfrac{\frac{2}{x}-\frac{4}{y}}{\frac{-5}{y}+\frac{3}{x}}[/tex]
Now by taking LCM the equation will become
[tex]\dfrac{\frac{2y-4x}{xy}}{\frac{-5x+3y}{xy}}[/tex]
Now the final expression will be
[tex]=\dfrac{2(y-4x)}{-5x+3y}[/tex]
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Suppose a ferris wheel is moving at a constant rate of 8 inches per second. if the diameter of the wheel is 60 feet, how long will it take the ferris wheel to make a complete revolution ?
Answer: If you want you can put 480 seconds or 8 minutes.
480 seconds = 8 minutes
Step-by-step explanation:
8 inches multiply by 60 feet
3
What is 6
5
rounded to the nearest whole number
Answer:
Rounded to the nearest whole number is 1
Step-by-step explanation:
when you divide 6 by 5 you get 1.2. Since 2 is not five or greater you round down.
25 cows produce 4 2/3 literes of milk how much milk is this in total
Answer:
116 2/3 liters of milk
Step-by-step explanation:
4 2/3 liters of milk per cow * 25 cows = 350/3 liters of milk = 116 2/3 liters of milk
I hope this was good enough. Happy mathing!
what is the common denmoniator of 3/4 2/3
Answer:
9/8
Step-by-step explanation:
3/4 2/3
LCM=12
9/8
Am not sure
find the ratio of 6:789 now!
Answer:
2:263
Step-by-step explanation:
6:789
Let's try simplying it completely, by that I means, divide both of the values by 6.
6:789
1:131.5
We need it to be a whole number, so it's not working. We can't divide by 2, because dividing 789 by 2 is not gonna give us a whole number. (an odd number)
Let's divide by 3
6:789
2:263
The values in the table below represent function B, which is linear function (-3,-7) (-1,-1) (1,5) (3,11)
Answer:
I don't see the picture of the problem
How do u find an area of a cuboid?
Answer:
To find the surface area of a cuboid, add the areas of all 6 faces.
Jasmine made a line plot to show the lengths of string in inches that the art teacher gave her for a craft project. A line plot named Which of the following statements that Jasmine made about the string lengths are true? Select the two that apply. A. The difference between the longest length and shortest length is 14 inches. B. I have twice as many 12-inch strings as I do 8-inch strings. C. The total length of string that I have is 84 inches. D. I cannot determine what the shortest string is by looking at my line plot. E. Since I need 100 total inches of string for my project, I have enough string.
The length of all the strings combined is 84 inches, while the length of the smallest string is 6 inches.
What is a line plot?
A line plot is a graph that shows the frequency of each value by displaying data as points or checkmarks above a number line.
In the given line plot, if we consider each of the options with the plot given to us, we will get to know which of the options are true or not.
A.) A. The difference between the longest length and shortest length is 14 inches.
As given in the plot, the longest string is 14 units while the smallest is 6 units, therefore, the first option is incorrect.
B.) I have twice as many 12-inch strings as I do 8-inch strings.
In the plot since the number of dots represents the number of strings of a particular length, therefore, the number of strings of length 12-inches is 4 and the number of strings of length 8-inches is 2. Thus, the given options are correct.
C.) The total length of string that I have is 84 inches.
As per the plot, the number of strings of length 6 inches is 1, the number of strings of length 8 inches is 2, the strings of length 12inches is 4, and the number of strings of length 14 inches is 1. Thus, the sum of the length of all the strings is 84 inches.
Hence, the statement is correct.
D.) I cannot determine what the shortest string is by looking at my line plot.
As given in the plot, the length of the smallest string is 6 inches, thus, the statement is incorrect.
E.) Since I need 100 total inches of string for my project, I have enough string.
As the length of all the strings combined is just 84 inches, thus, the statement is incorrect.
Hence, the only option that is correct is 'B' and 'C'.
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Question
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a blue bead? Write the probability as a fraction in simplest form.
Enter the correct answer in the boxes.
Answer:
1/4
Step-by-step explanation:
This question is asking for the probability of just picking a blue bead
It does NOT say anything about picking a smooth or rough!
This means you don't have to worry about it being smooth or rough (it is just extra information to throw you off)
So to find just picking one blue bead, you want to have the amount of blue beads divided by the total amount of beads
the amount of blue beads is 13
and the total is 52
So:
13/52 is your probability, but you want to simplify
Which comes out to
1/4
Jacob and his father measured the lengths of scrap wood in their yard. Make a line plot of their data.
The line plot is used to show the lengths of the scrap woods using check marks above the line
How to draw the line plotFrom the question, we have the following frequency table
Lengths Frequency
[tex]4\frac 18[/tex] 2
[tex]4\frac 14[/tex] 3
[tex]4\frac 38[/tex] 1
[tex]4\frac 12[/tex] 6
[tex]4\frac 58\\[/tex] 1
[tex]4\frac 34[/tex] 2
[tex]4\frac 78[/tex] 2
[tex]5[/tex] 1
Next, we plot the number line.
Such that the lengths of the scrap woods are on the x-axis while their frequencies are on the y-axis
See attachment for the line plot
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Answer:
Step-by-step explanation:
Starting at an initial height of 364 feet, an object is projected
upward at 60 feet per second. In how many seconds will it
reach the ground? I’m
Step-by-step explanation:
4.5 s, 324 ft
Explanation:
The object is projected upward with an initial velocity of
v_0 = 144 ft/sv
0
=144ft/s
The equation that describes its height at time t is
s(t) = -16t^2 + 144 ts(t)=−16t
2
+144t (1)
where t, the time, is measured in seconds.
In order to find the time it takes for the object to reach the maximum height, we must find an expression for its velocity at time t, which can be found by calculating the derivative of the position, s(t):
v(t) = s'(t) = -32t +144v(t)=s
′
(t)=−32t+144 (2)
At the maximum heigth, the vertical velocity is zero:
v(t) = 0
Substituting into the equation above, we find the corresponding time at which the object reaches the maximum height:
\begin{gathered}0=-32t+144\\t=\frac{144}{32}=4.5 s\end{gathered}
0=−32t+144
t=
32
144
=4.5s
And by substituting this value into eq.(1), we also find the maximum height:
s(t) = -16(4.5)^2+144(4.5)=324 fts(t)=−16(4.5)
2
+144(4.5)=324ft
used this way i even don't know sorry:))The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip. what is the difference in price per passenger for a group of 16 versus a group of 10? $46.25 $36.25 $56.25 $26.25
The difference in price per passenger for a group of 16 versus a group of 10 for this condition is given by: Option D: $26.25
What does a graph of a function represents?A graph contains data of which input maps to which output.
For Cartesian plane, this includes inputs x-axis, and corresponding output on y axis and the highlighted point (x,y) shows that the x value is related to the specific y value.
For the considered case, the missing image is attached below.
From the image, we see that corresponding to the value of number of people 10, the corresponding point on the graph is connected with vertical axis at $1300
For number of people 16, it is $2500
The price per passenger for 10 people is: 1300/10 = $130 The price per passenger for 16 people is: 2500/16 = $156.25The difference in these prices is 156.25 - 130 = 26.25 (in dollars)
Thus, the difference in price per passenger for a group of 16 versus a group of 10 for this condition is given by: Option D: $26.25
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Answer:
D. $26.25
Step-by-step explanation:
edg
Abby is buying flower bulbs for her garden. She wants to buy the same number of tulips and daffodils. If tulip bulbs come in packs of 8 and daffodil bulbs come in packs of 4, what is the least number of each type of bulb Abby will need to buy?
16
lcm : 4= 4, 8, 12 , 16
8= 8 , 16
Find the area of the parallelogram
Answer:
30.42 in^2.
Step-by-step explanation:
Find the height:
sin 45 = 1/√2 = h/7.8
h = 7.8 /√2
the base = height = 7.8 /√2
Area = h * b
= (7.8 /√2)2
= 30.42.
The formula P = I-E is used to calculate profit.
P = Profit
I= Income
E = Expenses
The school bake sale earned $72 in sales and had
$125 in expenses.
Find the profit.
b. What does a negative profit mean?
Hey there!
P = I - E
Income = $72Expenses= $125P = I - E {Add values}
P = 72 - 125
= -53
Negative profit means loss, which means there was no gain
Hopes this helps
Jesse is helping her grandmother plant a garden in the shape of a trapzoid
Base one is 12.5
base two 0.5 times length of base one
the height is 10 feet
– Using the order of operations, which operation should you perform last to evaluate this expression? (1 x 2.5) + (52-13) + (6.7 - 5) - (98+8) A Addition B Subtraction © Multiplication D Division
Considering the order of operations, the operation that should be performed last is given by:
B Subtraction.
What is the order of operations?The operations inside the parenthesis take precedence over every operation. Then, multiplication/division take precedence over sum/subtraction. If there are only multiplication/division or sum/subtraction, the precedence is from left to right.
In this problem, the expression is:
(1 x 2.5) + (52-13) + (6.7 - 5) - (98+8)
Solving the operations inside the parenthesis, the expression will be given by:
2.5 + 30 + 1.7 - 90
Only addition and subtraction, hence the order is from left to right, and the subtraction is done last, hence option B is correct.
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what is the difference in length beetween a 1 1/4 inch button and a 3/8 inch button
Answer:
7/8
Step-by-step explanation:
First you have to make the fractions into a common denominator. So I made 1 1/4 into 10/8. Now you just subtract 2/8 from 10/8 and get 7/8.
Kathy was building a bed for her dollhouse. She used her bed, which is 3 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5 . What are the dimensions of the model bed she built? (1 point) 0.06 ft × 0.1 ft 0.3 ft × 0.5 ft 0.03 ft × 0.05 ft 0.6 ft × 01 ft
Answer:
0.6 x 0.1
Step-by-step explanation:
can someone help me fast -2 1/3 - (-5
Answer:
your answer is positive 8/3
Step-by-step explanation:
When you are subtracting something by a negative number, it is the same as adding by a positive. For example, this equation would be solved like:
-2 1/3 + 5
Instead of -2 1/3 - (-5)
Hope that helps!
The rectangle graphed has a length of 5 and a width of 4. How does the perimeter change when the width is decreased by half?
A) The perimeter is decreased by 2.
B) The perimeter is decreased by 4.
The perimeter is decreased by 5.
C) The perimeter is decreased by 6.
D) The perimeter is decreased by half
sam
Answer:
B
Step-by-step explanation:
The perimeter is decreased by 4 because 2(5+2) = 14 when 2(5+4) = 18
Use the empirical rule to find a reasonable estimate for P(z ≤ 0. 82). 10% 30% 50% 80%.
P(z ≤ 0. 82) or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.
What is a z-score?Z-score indicates how much a given value differs from the standard deviation.
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Where [tex]\mu[/tex] = mean
[tex]\sigma[/tex]=standard deviation
P(z ≤ 0. 82) means the p-value corresponding to z≤ 0. 82.
From the standard normal table
P(z ≤ 0. 82) ≈80%.
Hence, P(z ≤ 0. 82) or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.
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I need jelpsssssssss
Answer:
sum up all the sizes and multiple it by 2
How can you reduce the variability of a statistic?
Answer:
How can you reduce the variability of a statistic? By taking a larger sample. Larger samples give smaller spread. Also by better design, such as stratified sampling. What effect does the size of the population have on the variability (spread) of a statistic?
Step-by-step explanation:
 Order these numbers least to greatest
Answer:
1. -83/7
2. -11.6666666
3. - square root of 133
4. 11 5/10
Marie is making her own website. She has 45 background colors, 130 fonts, and 20 themes to choose from. How many different designs can she create?
Answer:
20 designs
Step-by-step explanation:
Some websites have limited data and bytes to hold, so she might have to have one theme, 5 fonts, and 2 background colors to look nice. 1 × 5 × 2 = 10. Add all the other background colors and fonts and themes and divide them by 10.
Therefore, she can create about 20 designs
A rectangular red sticker has a perimeter of 40 millimeters and an area of 64 square
millimeters. What are the dimensions of the sticker?
millimeters by millimeters
Submit
Answer:
16 x 4.
Step-by-step explanation:
What multiplies into 64?
could be 16 and 4?
16 x 2 = 32
4 x 2 = 8
32 + 8 = 40, therefore, this is correct.
Which number of degrees is the measure of the angle? explain how you know.
Can you please show me what angle?
help me please!! will choose brainlyest if you get it right
what are the features of function g if g(x)=f(x + 4) + 8?
vertical asymptote of x= -4
domain of (4, [infinity])
y-intercept at (0,10)
x-intercept at (1,0)
range of (8, [infinity])
The correct statement is that the range of the function is (8, [infinity])
How to find the intercept, domain and range of a functionGiven the function as shown below:
g(x) = √(x + 4) + 8
The domain of the function is the point here x + 4 ≥ 0
Domain = x ≥ -4
In interval form, the domain of the function is [-4, 0)
The range of the function is the real values from 8 and above. Hence the range of the function is (8, [infinity])
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