8 + 5n = -27
5n = -35
n = -7
What is the common denominator of 1/a+1/b in the complex fraction 1/a-1/b/1/a+1/b
Answer:
common denominator is ab.
Step-by-step explanation:
Given : [tex]\frac{1}{a} +\frac{1}{b}[/tex] ; complex fraction [tex]\frac{\frac{1}{a} - \frac{1}{b}}{\frac{1}{a}+\frac{1}{b}}[/tex].
To find : What is the common denominator.
Solution : We have given that [tex]\frac{\frac{1}{a} - \frac{1}{b}}{\frac{1}{a}+\frac{1}{b}}[/tex].
For this, we subtract fractions in the numerator and the sum of fractions in the denominator.
[tex]\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}[/tex].
We observe that the common denominator is given by the product: ab
Therefore, common denominator is ab.
Answer: is D
Step-by-step explanation:
what is and why 41/2+31/4=
41 divided by 2 plus 31 divided by 4 equals to 28.225
In order to add these fractions, you must make sure that the denominators are the same. Since one of the denom. is 4 and the other is 2, we can just multiply the fraction of 41/2 by 2. Remember to multiply top and bottom.
41/2 * 2/2 = 82/4 Now that the denom. are 4 you may now add the numerators.
82/4 + 31/4 = 113/4 if you are asked to give it as a mixed fraction then it will be 28 1/4
hope this helps
which equation could be used to find the number of minutes,M, and H for hours?
A) m=60+h
B) m=h/60
C) m=60h
D) m=60/h
Answer:
It would be C
Step-by-step explanation:
If you were to substitute the variables, say M would be 120, and since there are 120 minutes in 2 hours, H would be 2.
If you plug it in to C, you would get:
120=60*2, which is equal.
You can do the same with any number.
To convert hours to minutes, the correct equation is M = 60H, where M represents minutes and H represents hours.
Explanation:To find the equation that converts hours to minutes, we need to use the relationship that 1 hour is equal to 60 minutes. Therefore, to convert hours to minutes, we would multiply the number of hours by 60. The correct equation would be M = 60H, where M stands for minutes and H stands for hours.
For example, to convert 4 hours to minutes, we would calculate 4 × 60 = 240 minutes.
Please help me, graphing calculator need for this!
Given points (-4, -113) (5,-293) and (-1,7)
We frame 3 equations using the given points
[tex]y=ax^2+bx+c[/tex]
Plug in (-4, -113)
[tex]-113=a(-4)^2+b(-4)+c[/tex]
-113 = 16a -4b + c -------> first equation
Plug in (5,-293)
[tex]-293=a(5)^2+b(5)+c[/tex]
-293 = 25a +5b + c----> second equation
Plug in (-1,7)
[tex]7=a(-1)^2+b(-1)+c[/tex]
7 = 1a -1b + c -----> third equation
Now we use the three equation and solve for a,b,c
Use first and second equation and subtract it
-113 = 16a -4b + c
+293 = -25a -5b - c
----------------------------------
180 = -9a + -9b (divide the whole equation by 9)
20= -1a -1b --------------> fourth equation
Subtract third equation from first equation
-113 = 16a -4b + c
-7 = -1a +1b - c
----------------------------------
-120 = 15a - 3b (divide by -3 on both sides)
40 = -5a +b --------------> fifth equation
Use fourth and fifth equation
20= -1a -1b
40 = -5a +b
Add both equations
60 = -6a
so a= -10
Now we use the fourth equation
20= -1a -1b
20 = -1(-10) -1b
20 = 10 - 1b
-1b = 10
so b =-10
Now plug in the values in third equation
7 = 1a -1b + c
7 = 1(-10) -1(-10) + c
7 = c
We got a=-10, b=-10 and c=7
So equation becomes [tex]y=-10x^2-10x+7[/tex]
No really getting this please help
Hi,
From simplifying the expression I can see your answer in it's exact form is 35/6. Based off of your multiple choice answers, your answer is 5 5/6.
Hope this helps.
what is 4x + 3 = 2x +7
Answer: [tex]x=2[/tex]
Step-by-step explanation:
First, subtract by 3 from both sides.
[tex]4x+3-3=2x+7-3[/tex]
Then, simplify.
[tex]4x=2x+4[/tex]
Next, subtract by 2x from both sides.
[tex]4x-2x=2x+4-2x[/tex]
Simplify.
[tex]2x=4[/tex]
Divide by 2 from both sides.
[tex]\frac{2x}{2}=\frac{4}{2}[/tex]
Finally, simplify.
[tex]x=2[/tex]
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
A little help here! Thx!
4x - 3y + 10 - x + 2y - 5
Simplify it!
Answer:
3x - y + 5
Step-by-step explanation:
4x - 3y + 10 - x + 2y - 5
To simplify, you need to combine like terms. Like terms are terms that have the same variable part. All terms with x are like terms and can be combined. All terms with y are like terms and can be combined. All terms with no variable are like terms and can be combined. A term with x and a term with y are not like terms and cannot be combined.
It may be helpful at first, to move the like terms together to combine them.
4x - 3y + 10 - x + 2y - 5 =
= 4x - x - 3y + 2y + 10 - 5
= 3x - y + 5
Answer:
3 x − y + 5
Step-by-step explanation:
4x - 3y + 10 - x + 2y - 5
add/ subtract all the x values
4x - x = 3x
add/ subtract all y values
-3y + 2y = 1y or y
add/ subtract all real numbers
10 - 5 = 5
3x - y + 5
What is the solution to the following equation ?
x-3(2x-8)= -26
A) x=11
B) x=5
C) x=14
D) x=10
it would be D x=10 hope this helps.
Answer:x=10
Step-by-step explanation:
liz am confused on those places help
So for example 11/3 is 3 2/3 because you divide 11 by 3 and how you do it is that 3 goes into 11 3 times so you would write three on top of the 11 and then subtract 11-9 which is 2 so it is 3 2/3
The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
a. 3 2/3
b. 3 3/8
c. 5
d. 4 1/5
How many inches are in 5 1/2
There are 12 inches in every foot 5 x 12 is 60 half a foot would be 12÷2=6 so 60+ 6=66 inches
Min is twice as tall as her brother . If min is 5feet 3 inches tall how tall is her brother
Min's brother is half as tall as her. So if Min is 5 feet 3 inches tall, her brother will be 2 feet 6.5 inches tall.
Explanation:The subject of this question is Mathematics, specifically a problem involving ratios. The problem tells us that Min is twice as tall as her brother. We're also given that Min's height is 5 feet 3 inches. To find the height of Min's brother, we need to halve Min's height because her brother's height is half of hers.
Doing the calculation, Min's brother would be 2 feet 6.5 inches tall. This is because half of 5 feet is 2.5 feet. But since we usually represent height in feet and inches separately, we say that is 2 feet and 6 inches, with an additional 0.5 inches making up for the half foot.
Learn more about Proportions here:https://brainly.com/question/32430980
#SPJ2
Identify the smallest numbers that can actually belong to a class in a frequency distribution
Answer: Lower class limits.
Step-by-step explanation:
1. By definition, a frequency distribution lists classes of values and the frequency of ocurrency.
2. The class limits is define as the minimum and maximum values that can belong to the different clases. The class limits are: Lower class limits and Upper class limit.
3. Lower class limits is define as the smallest numbers that can belong to a class.
Answer:
Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria?
A. Yes, all the requirements are met.
Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria?
C. No, the distribution is not symmetric.
Identify the class width for the given frequency distribution.
B. 5
Identify the class midpoints for the given frequency distribution.
C. 202 207 212 217 222 227 232 237
A survey of statistics students asked the students for their favorite music genre. The results of the survey are provided in the table. Identify the model class from the distribution.
A. Blues
A recent survey asked 874 people to identify what education they have achieved. The accompanying table summarizes the result. Does this table describe a relative frequency distribution? Why or why not?
C. No, the sum of the percentages is not 100 percent.
Find the midpoint of the FICO score interval 550-599.
D. 574.5
Listed below are blood groups of O, A, B, and AB of randomly selected blood donors (based on data from the Greater New York Blood Program)
Identify the frequency of the blood group O.
D. 22
A sample value that lies very far away from the majority of the other sample values is _______
A. An outlier
Identify the smallest numbers that can actually belong to a class in a frequency distribution.
A. Lower class limit.
clara wants to run a total od 5 1/2 miles each lap around the track is 0.25 miles how many laps around the track does clara need to run to complete 5 1/2
Final answer:
Clara needs to run 22 laps around the track, at 0.25 miles per lap, to reach her goal of 5 1/2 miles.
Explanation:
The question is about calculating the number of laps Clara needs to run to cover a distance of 5 1/2 miles, with each lap being 0.25 miles long. To find the number of laps, we divide the total distance she wants to run by the distance of one lap.
Total distance Clara wants to run: 5 1/2 miles or 5.5 miles (converting 1/2 into decimal for easier calculation).
Distance of one lap around the track: 0.25 miles.
To find the number of laps, we perform the division:
5.5 miles ÷ 0.25 miles/lap = 22 laps.
Therefore, Clara needs to run 22 laps around the track to complete her goal of 5 1/2 miles.
which unit is most appropriate to use to measure the volume of a bathtub
The most appropriate unit to measure the volume of a bathtub is liters.
When considering the volume of a bathtub, the most appropriate unit of measure would be liters. Milliliters are too small for such a large volume, and while gallons could be used, liters are more standard for this type of measurement in many parts of the world, including in scientific contexts.
For example, if we have a common bathtub that is 13.44 dm long, 5.920 dm wide, and 2.54 dm deep, we would calculate its volume in liters. Since a bathtub has a capacity similar to a large container, liters are an appropriate choice because they give a manageable number for the volume. In measuring smaller volumes, like that of a water balloon or a chemical solution in a lab, milliliters or a graduated cylinder may be used instead.
One square tile on your kitchen floor is 11.25 inches long. It takes 12.5 tiles to cover the length of the floor. About how long is the floor?
1 Square = 11.25 inches
You need 12.50 Squares
So, that means that you should do 11.25 × 12.50 which equals 140.625 and 140.625 is your length. Let me know if this is right and if it helped you.
which lists all the integer solutions of the equation x = l21l ?
A.21 only
B.21 and -21
C.0 and 21
D.-21 only
Dividing whole numbers if insulation can be installed at a rate of 1,400 square feet per hour and 29,400 square feet needs to be installed,how many hours will the job take?
It will take approximately 21 hours to install the insulation.
Explanation:To determine the number of hours it will take to install 29,400 square feet of insulation at a rate of 1,400 square feet per hour, we can use division. We can divide the total square footage by the rate of installation per hour:
Number of hours = Total square footage / Rate of installation per hour
Number of hours = 29,400 square feet / 1,400 square feet per hour
Number of hours = 21 hours
Therefore, it will take approximately 21 hours to install the insulation.
Learn more about Dividing whole numbers here:https://brainly.com/question/10221961
#SPJ12
Which is the graph of y = -1/x?
C would be your answer.
what is the square root of 28
The decimal form would be 5.29150262
What does this complex fraction equal??? Please help me
Answer:
16/3
As a decimal, 5.3 with a line other the "3" which means it's repeating
As a mixed fraction, 5 1/3
Hope this helps :-)
A tire maker produces 20000 tires to be shipped. they inspect 200 of the tires and find that 16 or defective. how many tires of the 20,000 tires would you expect to be defective?
Based on the sample inspection of 200 tires with 16 being defective, one would expect approximately 1,600 tires to be defective out of the 20,000 tires produced, using proportional reasoning.
In the case where a tire maker produces 20,000 tires and inspects 200 of them, finding 16 to be defective, we can use proportional reasoning to estimate the number of defective tires in the entire lot. The ratio of defective to inspected tires is 16 / 200. We can set up a proportional relationship to find the expected number of defective tires (D) out of the 20,000 total tires:
(16 defective) / (200 inspected) = (D defective) / (20,000 total)
Now, we solve for D:
16 / 200 = D / 20,000
Multiplied both sides by 20,000:
20,000 * 16 / 200 = D
This simplifies to:
1600 = D
Therefore, one would expect about 1,600 tires to be defective out of the 20,000 tires made, this is based on the sample inspection results.
Solve. - 1 3 x > 5
A) x < -15
B) x > -15
C) x > 5/3
D) x < -5/3
its none of them... x<-5/13 divide each term by -13 and simplify.
I'm assuming by the answer choices that you're question is:
-1/3x > 5
Isolate the x. Multiply -3 to both sides
(-3)(-1/3)x > 5(-3)
x > 5(-3)
Remember to flip the sign when you multiply by a negative number
x > 5(-3)
Multiply
x < -15
x < -15, or (A) is your answer
hope this helps
~Rise Above the Ordinary
What can you say about the marked angles in these parallelogram?
A Opposite angles of a parallelogram are congruent. ( the same measure)
B Consecutive angles of a parallelogram are supplementary (measure add to 180)
C consecutive angles of a parallelogram are congruent. (The same measure)
D Opposite angles of a parallelogram are supplementary (measure add to 180)
Please need help on this don’t understand this one
Answer: A and B both are correct statements.
Step-by-step explanation:
Let ABCD is a parallelogram then its properties are as follows:-
1. Opposite angles and sides of parallelogram are always congruent.
i.e.AB=CD and AD=BC and ∠A=∠C and ∠B=∠D
2.Consecutive angles are supplementary.
i.e. ∠A+∠B=180° and ∠B+∠C=180°
3. Its diagonals bisect each other.
4. The sum of all the angles is 360°.
At the snack bar, 7 hot dogs are sold for every 10 hamburgers sold. At this rate, how many hamburgers will be sold if 63 hot dogs are sold?
By setting up and solving the proportion, we can determine that 90 hamburgers will be sold when 63 hot dogs are sold.
Explanation:To find out how many hamburgers will be sold if 63 hot dogs are sold, we need to use the given ratio of 7 hot dogs to 10 hamburgers.
First, we can set up a proportion: 7/10 = 63/x.
Cross-multiplying, we get 7x = 10 * 63.
Solve for x by dividing both sides by 7, x = (10 * 63) / 7.
Simplifying further, x = 630 / 7. Performing the division, x = 90.
So, if 63 hot dogs are sold, 90 hamburgers will be sold using the given ratio.
Learn more about Proportions here:https://brainly.com/question/34018947
#SPJ12
What the length of a cube having a volume of 1331 ft3
You just have to take the cube root of 1331. So ³√1331 = 11
What is2,852.1 rounded to the nearest tenth
Answer:
The Answer is 2852.1
Step-by-step explanation:
Rounding off means simplifying the number while keeping it close to its true value. The "tenth" position is the 1st number to the right after decimal place. The number in the tenth position is 1, and there are no numbers to the right after that.
If there were any numbers to the right of the tenth position we will have to follow the following rules to round off to the nearest tenth.
If the number to the right of tenth place is less than 5 then keep the same number in the tenth place.
If the number to the right of the tenth place is 5 or more than 5 add one to the number in the tenth position.
In here as there is 0 after tenth position we can keep the same number, that is 1.
So 2852.1 rounded off to the tenth position is 2852.1.
Multiply.
1.25(−3.6)
Enter your answer as a decimal in the box.
Answer:
-4.5
Step-by-step explanation:
the multiplication of 1.25(−3.6) is -4.5.
What are mathematics operations?
• A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.
• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.
Here, the given expression is :
1.25(−3.6)
Now after removing the bracket multiplication sign will apply :
1.25 x −3.6 = -4.5
Therefore, the multiplication of 1.25(−3.6) is -4.5.
Read more about mathematics operations at:
https://brainly.com/question/17869111
#SPJ5
HURRY
The Johnson family is taking a car trip. They are driving at an average speed of 60 miles per hour. The graph shows their distance traveled over time. What does the point (5, 300) represent in this situation?
A) The Johnson family will travel 300 miles in 5 hours.
B) The Johnson family will finish their trip in 5 hours.
C) The Johnson family drives 5 miles per hour for 300 miles.
D) The Johnson family vacation destination is 300 miles away.
A) the Johnson family will travel 300 miles in 5 hours
Assuming 5, represents the amount of hours & 300 representing miles
Jacob wants to use an elevator to carry identical packages having the same weight. Each package weighs 3 pounds and Jacob weighs 99 pounds. If the elevator can carry a maximum of 300 pounds at a time, which inequality shows the maximum number of packages, n, that Jacob can carry with himself in the elevator if he is the only passenger?
n ≤ 67
n ≥ 67
n ≤ 198
n ≥ 198
Answer:
Your answer is B
Step-by-step explanation:
Take 300 and subtract it by 99 you'll get 201
3 times 67 is 201
Which is why your answer is B!
Hope this helps! -Queenb369
(P.S, If you could give me the brainlist if i'm right, that will be great thanks!)
Answer:
Option B is the correct answer.
Step-by-step explanation:
First, it is necessary to remember that Jacob weights 99 pounds. Another important number is 300, the pound the elevator can carry. Finally, Jacob has identical packages that weight 3 pounds. So we need to perform the following calculations:
300-99=201.
3*67=201, which is the same as Option B.
Three years ago, Claire borrowed money from her father to pay for a class trip. She agreed to pay 6% simple annual interest on the loan. Now she owes him $90 in interest, plus the principal amount. How much did Claire borrow?
Answer:
D 500
Its been 2 years since you asked this but I hope I can help!