Answers
Answer :
(1) \(\frac{1}{x}+\frac{1}{y}=\frac{y+x}{xy}\)
(2) \(\frac{1}{5x}+\frac{1}{3y}=\frac{3y+5x}{15xy}\)
(3) \(\frac{1}{7x}-\frac{1}{2y}=\frac{2y-7x}{14xy}\)
(4) \(\frac{2}{5x}+\frac{3}{7y}=\frac{6y+15x}{21xy}\)
(5) \(\frac{7}{11x}-\frac{1}{33y}=\frac{231y-11x}{363xy}\)
(6) \(\frac{1}{2x}+\frac{3}{x}-\frac{1}{7y}=\frac{7y+42y-2x}{14xy}\)
Step-by-step explanation :
(1) The given expression is: \(\frac{1}{x}+\frac{1}{y}\)
\(\frac{1}{x}+\frac{1}{y}=\frac{y+x}{xy}\)
(2) The given expression is: \(\frac{1}{5x}+\frac{1}{3y}\)
\(\frac{1}{5x}+\frac{1}{3y}=\frac{3y+5x}{(5x)\times (3y)}=\frac{3y+5x}{15xy}\)
(3) The given expression is: \(\frac{1}{7x}-\frac{1}{2y}\)
\(\frac{1}{7x}-\frac{1}{2y}=\frac{2y-7x}{(7x)\times (2y)}=\frac{2y-7x}{14xy}\)
(4) The given expression is: \(\frac{2}{5x}+\frac{3}{7y}\)
\(\frac{2}{5x}+\frac{3}{7y}=\frac{(2\times 3y)+(3\times 5x)}{(5x)\times (7y)}=\frac{6y+15x}{21xy}\)
(5) The given expression is: \(\frac{7}{11x}-\frac{1}{33y}\)
\(\frac{7}{11x}-\frac{1}{33y}=\frac{(7\times 33y)-(1\times 11x)}{(11x)\times (33y)}=\frac{231y-11x}{363xy}\)
(6) The given expression is: \(\frac{1}{2x}+\frac{3}{x}-\frac{1}{7y}\)
\(\frac{1}{2x}+\frac{3}{x}-\frac{1}{7y}=\frac{(x\times 7y)+(3\times 2x\times 7y)-(2x\times x)}{(2x)\times (x)\times (7y)}=\frac{7xy+42xy-2x^2}{14x^2y}=\frac{7y+42y-2x}{14xy}\)
Related Questions
Normally, a car wash costs $6. Today, Marie found a coupon so she only has to pay 60% of the normal amount. How much will Marie have to pay?
Answers
I dont know this one
Answers
Answer:
10, 8
Step-by-step explanation:
l + w = 18
l*w = 80
8 and 10 works
29.0 Assessment Practice 17. Camille drew the figure shown at the right. PART A Find the perimeter of the figure. Use 3.14 for T. Round to the nearest hundredth. 51.39] P=3.C semicircle a g › 9 (semicircle=1/2πT P=3. // π1.929 p= 3·2·3·14.9+9 пляда P = S1-31 PART B Draw another figure that has the same perimeter as the given figure. 9 ft 9
Answers
The figure's perimeter, rοunded tο the nearest hundredth, is rοughly 51.39 feet.
What is perimeter?The tοtal length οf a twο-dimensiοnal shape's bοundary οr οuter edge is knοwn as its perimeter. It is the space encircling the periphery οf a shape. Yοu add up the lengths οf all a shape's sides tο determine its perimeter. The length units used tο measure the sides have an impact οn the perimeter measurement units.
given:
The lengths οf all the edges must be added up in οrder tο determine the figure's perimeter.
The figure is made up οf a rectangle with a length οf 3 feet and a breadth οf 9 feet, twο semicircles with a diameter οf 9 feet each, and twο semicircles.
A semicircle with a diameter οf 9 feet has the fοllοwing circumference:
C = 1/2 * pi * d
C = 1/2 * 3.14 * 9
C = 14.13 feet
The circumference οf bοth semicircles taken tοgether is thus:
P = 2*14.13P = 28.26 feet
The rectangle's perimeter is as fοllοws:
P(rectangle) is equal tο 2 * (length + width).
P(rectangle) = 3 + 9 * 2
24 feet P(rectangle)
As a result, the figure's οverall perimeter is as fοllοws:
Semicircles: P = P + P (rectangle)
P = 28.26 + 24
P = 52.26 feet
The figure's perimeter, rοunded tο the nearest hundredth, is rοughly 51.39 feet.
Anοther figure with the same perimeter as the οne given can be drawn in a variety οf ways.
The figure's perimeter, rοunded tο the nearest hundredth, is rοughly 51.39 feet.
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what fraction to i times 2/17 by to get 1
Answers
Answer:
impossible
Step-by-step explanation:
17 does not match the circumference that 2 gives off so the vibes are different so its a trick question because 17 isn't aloud to be divided by 2
The dimensions of rectangular box are 4.4 inches, 5.6 inches, and 8 2 inches what is the surface area
Answers
Answer:
213.28 in^2
Step-by-step explanation:
surface area = 2(LW + LH + WH)
surface area = 2[(4.4 in)(5.6 in) + (4.4 in)(8.2 in) + (5.6 in)(8.2 in)]
surface area = 213.28 in^2
how do you find the answer to -9+p=12
Answers
Answer:
P=21
Step-by-step explanation:
Add 9 to 12
Answer: Heyy bestie ❤️ The Answer is 21
Step-by-step explanation:
P-9=12
p=12+9
p=21
What is the perimeter of Justin's garden in inches? I can't find the right answer 6 yards and 8 yards its a rectangle garden pls help me
Answers
Answer:
28 yards
Step-by-step explanation:
It's perimeter so you add (6x2)+(8x2)
The x2 is because there's 2 of each side
Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must have to earn at least $3500 in a month?
Answers
Answer:
The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000
Explanation: The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000
Solution:
The expression to Michael earnings is:
Where,
b is the base salary, which is $ 900 in this sum
c is the commission rate
Given that commission rate is 5%
Michael must have to earn at least $2500 in a month
Here, at least means, "greater than or equal to" 2500
The inequality is framed as:
base salary + 5 % on sales 2500
Solve the inequality
Therefore minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000
what estimate the value of √99
Answers
Answer:
√99 = 9.9498743710662
Step-by-step explanation:
the probability of an archer hitting her target is 83%. suppose she has 20 shots to take, and each shot is independent of the others. let x represent the number of targets hit. what is the mean of x?
Answers
the probability of an archer hitting her target is 83%.The mean of x is 16.6 (16.6 targets hit).
The probability of the archer hitting her target is 83%. This means that for each shot she takes, the probability of her hitting her target is 0.83. Since she has 20 shots to take, the expected number of targets hit is 20 x 0.83, which is 16.6.
The mean of x, which is the number of targets hit, is therefore 16.6. This can be calculated by taking the probability of success (0.83) multiplied by the number of trials (20), which gives the expected value of 16.6.
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Ken spent half of his money. The next day he earned $12. He now has $32. Which equation represents the situation?
Answers
Ratio to 6:3?? Write 2 other ways :))
Answers
Answer:
6/3, 6:3, and 6 to 3
Step-by-step explanation:
All of these answers above are correct!!!
May I have a Brainliest?
Look at the picture and tell me
Answers
Poppy's sister used approximately 3.14 inches more wire per wall hanging than Poppy.
How to find the amount of wire used ?To find the amount of wire used by both Poppy and her sister, we'll calculate the circumference of their respective wall hangings using the formula:
C = 2πr
Since the diameter is twice the radius, we can find her sister's radius as follows:
Poppy's radius = 6.25 inches
Poppy's diameter = 2 * 6.25 = 12.5 inches
Sister's diameter = Poppy's diameter + 1 = 12.5 + 1 = 13.5 inches
Sister's radius = 13.5 / 2 = 6.75 inches
Now, we'll calculate the circumferences using the given value for π:
Poppy's circumference = 2 x 3.14 x 6.25 ≈ 39.25 inches
Sister's circumference = 2 x 3.14 x 6.75 ≈ 42.39 inches
Difference = Sister's circumference - Poppy's circumference
Difference = 42.39 - 39.25 = 3.14 inches
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I need help, check out my other questions if they havent been answered..
Answers
Answer:
Margo's model is a better fit because her sum of absolute deviations is lower than Jose's. When comparing regression models using the sum of absolute deviations as the standard, the model with the lower sum of absolute deviations is considered a better fit. In this case, Margo's model has a sum of absolute deviations of 54 which is lower than Jose's model with a sum of absolute deviations of 124. Therefore, Margo's model is a better fit.
Step-by-step explanation:
Find an equation of the line through (3,5) and parallel to y = 3x -7. Write the equation using function notation
f(x)=__
Answers
Given:
Equation of line is \(y=3x-7\).
To find:
The equation of line which is parallel line to \(y=3x-7\) and passes through (3,5) in function notation.
Solution:
Slope intercept form of a line is
\(y=mx+b\)
where, m is slope and b is y-intercept.
On comparing the equation \(y=3x-7\) with slope intercept form, we get
\(m=3\)
So, slope of given line is 3.
Slope of parallel lines are same. Thus, the slope of parallel line is also 3.
Point slope form of a line is
\(y-y_1=m(x-x_1)\)
where, m is slope.
The parallel line passes through (3,5) with slope 3. So, the equation of line is
\(y-5=3(x-3)\)
\(y-5=3x-9\)
Add 5 on both sides.
\(y=3x-9+5\)
\(y=3x-4\)
Function notation of this equation is
\(f(x)=3x-4\)
Therefore, the equation equation in function notation is \(f(x)=3x-4\).
A farmer uses 920 grams of grain to feed his 8 chickens. At this rate how many grams of grains does he use to feed 100 chickens
Answers
Answer: 11,500 grams
Step-by-step explanation: 920/8=115 115*100= 11,500
Find each percent decrease. Round to the nearest percent. From 126 ounces to 48 ounces
Answers
I'm stuck on the same thing soo this is kinda weird that I'm typing
Step-by-step explanation:
sorry for not answering the answer ;)
Answer:
There is 61.9% decrease in the value from 126 ounces to 48 ounces.
A ____________ can be used to help us determine the extent of how much an outcome is achieved.
Answers
A metric can be used to help us determine the extent of how much an outcome is achieved.
What is metric?A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.
They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.
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Describe two ways to find the answer. Select all that apply.
A.
Rewrite the fraction with a denominator of 100 so the numerator gives the percent. Then, divide to write the fraction as a decimal.
B.
Rewrite the fraction with a denominator of 100 so the numerator gives the decimal. Then, divide to write the fraction as a percent.
C.
Divide to find the decimal, and then divide by 100 to find the percent.
D.
Divide to find the decimal, and then write the decimal as a percent.
Answers
Answer:
A and D
Step-by-step explanation:
What is the solution to this inequality? x - 1 . 5 > 2 . 5 Question 1 options: x < 4 x < 1 x > 1 x > 4
Answers
The solution to the inequality is X > 4
InequalityInequality is a set of mathematical expression which the individual side is not equal to other side
To solve for x in the inequality x - 1 . 5 > 2, we followed the step;
Step 1: Add 1.5 to both sides
x - 1.5 + 1.5 > 2 . 5 + 1.5
X > 4
Therefore, the solution to the inequality is X > 4
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the graph below shows a quadratic function f(x) and an absolute value function g(x)
which of the following x-values are approximate solutions to the equation f(x)=g(x)? select all that apply
Answers
Answer:
The x-values that are approximate solution of the equation \(f(x) = g(x)\) are \(x_{1} \approx -3.5\) and \(x_{2}\approx 5\), respectively.
Step-by-step explanation:
From graph we infer that the x-values that represents a solution to the system of equations corresponds to those values of x in which both functions coincide. As we see, there are two x-values for \(f(x) = g(x)\), which are described below:
\(x_{1} \approx -3.5\) and \(x_{2}\approx 5\)
The x-values that are approximate solution of the equation \(f(x) = g(x)\) are \(x_{1} \approx -3.5\) and \(x_{2}\approx 5\), respectively.
5/8 divided 2 1/2 simply
Answers
Answer:
1/4
Step-by-step explanation:
Turn 2 1/2 into an improper fraction
5/2
Flip 5/2 to 2/5
Multiply 5/8 by 2/5
The answer is 10/40
Simplify
1/4
Hope this helped :)
What is the slope of the line represented by the equation y=-2/3 -5x
Answers
Answer: x= \(- \frac{y}{5} - \frac{2}{15}\)
Step-by-step explanation:
y=-2/3 -5x
Swap sides so that all variable terms are on the left-hand side
-2/3 - 5x = y
add 2/3 to both sides
-5x= y + 2/3
Divide both sides by −5.
\(\frac{-5x}{5} = \frac{y + 2/3}{ -5}\)
Dividing by −5 undoes the multiplication by −5.
\(x = \frac{y+\frac{2}{3} }{-5}\)
Divide y+ 2/3 by −5.
\(y= - \frac{y}{5} - \frac{2}{15}\)
this is worth 40 points so pls help! I need this ASAP.
I also need COMPLETE solution
Answers
Answer:
Shown below.
Step-by-step explanation:
Test Marks Tally Frequency Percentage
1 8 8/60 = 0.133
2 6 6/60 = 0.100
3 5 5/60 = 0.083
4 5 5/60 = 0.083
5 5 5/60 = 0.083
6 8 8/60 = 0.133
7 6 6/60 = 0.100
8 7 7/60 = 0.116
9 4 4/60 = 0.066
10 5 5/60 = 0.083
Total 59 59/60 = 0.983
For the Tally section, I believe you just fill in tally marks corresponding to the frequency. One of the observations in the table is 0, which is not a column in the frequency table.
What is the slope of the line that passes through the points (-6, -10) and (3,-13)? Write your answer in simplest form.
Answers
We must use slope formula* to solve this.
\(\frac{-13 - (-10)}{3 - (-6)}\\\\\frac{-3}{9} = -\frac{1}{3}\)
m** = \(-\frac{1}{3}\)
*Slope Formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
**m is the symbol for slope.
I need help please!!
Answers
For f(4), it's 15. For determining x, it's 9.
For f(4), juet plug in 4 to x. 4(4) equals 16, minus 1 is 15.
For getting 35, we need to determine x. If you plug in 9 for f(x), 4(9) equals 36, minus 1 is 35.
Find the equation of the line. You will get brainliest answer if you do.
Answers
Answer:
The equation of this line y=1
Step-by-step explanation:
Answer:
Y=1 since it only lines up with 1
Step-by-step explanation:
Find the distance between the points (3,6) and (10,4). The answer must be a whole number or a fully simplified radical expression do not round up
Answers
Answer:
The answer is
\(\sqrt{53} \: \: \: units\)Step-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3,6) and (10,4).
The distance is
\(d = \sqrt{ ({3 - 10})^{2} + ({6 - 4})^{2} } \\ = \sqrt{ ({ - 7})^{2} + {2}^{2} } \\ = \sqrt{49 + 4} \\ = \sqrt{53} \: \: \: \: \: \: \: \: \)We have the final answer as
\( \sqrt{53} \: \: \: units\)Hope this helps you
Lee is buying a television with an original price of $129.00. The television is on sale for 25% off the original price. How much will the television cost after the discount?
Answers
Answer:
$96.75
Step-by-step explanation:
.25 x 129=32.25
129-32.25=96.75
Estimate the sum by rounding each number to the nearest hundredth: 0.087+0.043 that's my question
Answers
To round each number to the nearest hundredth, you need to look th