Which expression represents the sum of 2/3m - 1 1/6 and 5/6m - 1 1/3
Answers
we have that
[(2/3)m - 1 1/6]+[(5/6)m - 1 1/3]
step 1
1 1/6--------> (1*6+1)/6-----> 7/6
1 1/3--------> (1*3+1)/3------> 4/3
step 2
[(2/3)m - 1 1/6]-------> [(2/3)m - 7/6]-------> [(2*2m-7)]/6------> [4m-7]/6
[(5/6)m - 1 1/3]------- [(5/6)m - 4/3]-------> [(5m-4*2)]/6--------> [5m-8]/6
step 3
[(2/3)m - 1 1/6]+[(5/6)m - 1 1/3]----------> [4m-7]/6+[5m-8]/6-----> [9m-15]/6
[9m-15]/6-----------> (9m/6)-(15/6)------> 1.5m-2.5-----> (1 1/2)m-2 1/2
the answer is the option
c.) 1 1/2m - 2 1/2
Related Questions
PLZ HELP FOR BRAINLESS AND POINTS
Write a real-world problem that could be represented by the inequality. 2x + 5 > 23
Answers
Answer:
you have 2x oranges and you add 5 more but you still have 23 apples more than oranges
Please help with number 10
Answers
Answer:
see below for a drawingthe area of one of the trapezoids is 20 units²Step-by-step explanation:
No direction or other information about the desired parallelogram is given here, so we drew one arbitrarily. Likewise for the segment cutting it in half. It is convenient to have the bases of the trapezoids be the sides of the parallelogram that are 5 units apart.
The area of one trapezoid is ...
A = (1/2)(b1 +b2)h = (1/2)(3+5)·5 = 20 . . . . square units
The sum of the trapezoid base lengths is necessarily the length of the base of the parallelogram, so the area of the trapezoid is necessarily 1/2 the area of the parallelogram. (The area is necessarily half the area of the parallelogram also because the problem has us divide the parallelogram into two identical parts.)
Tom can whitewash a fence at a rate of six square feet per minute. Huck can whitewash a fence at a rate of ten square feet per minute. Tom starts painting her fence, and five minutes later, Huck starts to help Tom. When they finish painting the fence, each person has painted half of the fence. How many square feet is the fence?
Answers
T = Tom = 6 square feet a minute.
The "distances" they have to go are equal since both do the same amount.
R_Tom * time_tom = R_Huck * time huck
6* (t) = 10 * (t - 5)
6t = 10t - 50 Add 50 to both sides
6t + 50 = 10t Subtract 6t from both sides.
50 = 4t Divide by 4
50/4 = t
12.5 = t
This means that tom was working for 12.5 minutes. He does 6 square feet a minute The amount of fence he does is 12.5 * 6 = 75 square feet.
Since Huck does the same amount the total is 75 * 2 = 150 square feet total.
Use the distance formula to find the length of the line with endpoints at (1,3) and (3,1)?
√8
8
√32
32
Answers
[tex] \sqrt{(3-1)^{2} +(1-3)^{2} } [/tex]
(1,3) is x₁ and (3,1) is x₂
Begin to simplify within the parenthesis:
[tex] \sqrt{2^{2}+(-2)^{2} } [/tex]
Square the two numbers:
[tex] \sqrt{4 + 4} [/tex]
Add the two to get:
[tex] \sqrt{8} [/tex]
Since 8 is not a square number, this is as far as we can simplify this. Hope this helps!
collins cafeteria offers a selection of 5 meats,six vegetables and 8 deserts.in how many ways can you select a meal of 2 different meats,3 different vegetables and 2 different deserts
Answers
3 different vegetables are to be selected from 6 vegetables.
2 different deserts are to be selected from 8 deserts.
This is a combination problem.
Number of ways to select 2 meats from 5 meats = 5C2 = 10
Number of ways to select 3 vegetables from 6 vegetables = 6C3 = 20
Number of ways to select 2 deserts from 8 deserts = 8C2 = 28
Total number of ways to select a meal 2 different meats,3 different vegetables and 2 different deserts = 10 x 20 x 28 = 5600 ways.
This means the meal of 2 different meats,3 different vegetables and 2 different deserts can be selected in 5600 different ways.
During dance practice, Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she drink in total?
Cups and ounces
Answers
Sasha drank a total of 5.5 cups of water, considering that 1 pint equals 2 cups.
Explanation:The question is asking us to determine the total amount of water Sasha drank in pints and cups. First, it is important to note that 1 pint equals 2 cups. Sasha drank 21⁄2 pints of water during dance practice, which is equivalent to 5 cups of water (2.5 pints * 2). On the way home, she drank an additional 1⁄2 cup of water. Therefore, in total, Sasha drank 5.5 cups of water.
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The mass in a pendulum clock completes one complete swing in 1.00 s . what is the length of the rod?
Answers
[tex]T=2 \pi \sqrt{ \frac{L}{g} } [/tex]
Where L is the length of the pendulum and [tex]g=9.81 m/s^2[/tex] the gravitational acceleration.
Re-arranging the formula and using T=1.0 s, we find the length of the pendulum:
[tex]L= \frac{T^2g}{4 \pi^2}=0.25 m [/tex]
The length of the pendulum or rod in a pendulum clock that completes one swing in 1.00 seconds is approximately 0.25 meters, or 25 centimeters.
Explanation:The time taken by the pendulum to complete one full swing is also known as its period, denoted by T. You indicated that in this case the pendulum completes one swing in 1.00 seconds. To determine the length of the pendulum, or rod, we use the formula for the period of a simple pendulum, T=2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity (approximately 9.8 m/s² on Earth).
Setting T to 1.00 seconds and g to 9.8 m/s², we can solve this equation for L:
L = (T² * g) / 4π²
Substituting the given values:
L = (1.00² * 9.80) / 4π²
This gives us a pendulum length of approximately 0.25 meters, or 25 centimeters.
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A week before the election, 1,500 people were asked who they planned to vote for. 45% said they planned to vote for Candidate X. 38% said they planned to vote for Candidate Y. The rest said they had not decided yet. How many of the people who were asked have not yet decided for whom they plan to vote?
Answers
A week before the election, [tex]1,500[/tex] people were asked who they planned to vote for. [tex]45[/tex]% said they planned to vote for Candidate [tex]X[/tex]. [tex]38[/tex]% said they planned to vote for Candidate [tex]Y[/tex]. So, the answer is A. [tex]255[/tex] people.
To find out how many people have not yet decided who they plan to vote for, let's first calculate the total number of people asked.
[tex]Total[/tex] [tex]people[/tex] [tex]asked[/tex] [tex]= 1,500[/tex]
Now, let's find out how many people have already decided:
[tex]For candidate X: 45% of 1,500\\\\= 0.45 * 1,500 = 675 people\\For candidate Y: 38% of 1,500\\= 0.38 * 1,500 = 570 people[/tex]
Now, let's subtract the people who have already decided from the total number of people asked:
[tex]Total people who have not decided = Total people asked - (People for candidate X + People for candidate Y)[/tex]
[tex]= 1,500 - (675 + 570)\\= 1,500 - 1,245\\= 255[/tex]
So, the answer is A. [tex]255[/tex] people.
COMPLETE QUESTION:
A week before the election, [tex]1,500[/tex] people were asked who they planned to vote for. [tex]45[/tex]% said they planned to vote for Candidate [tex]X[/tex]. [tex]38[/tex]% said they planned to vote for Candidate [tex]Y[/tex]. The rest said they had not decided yet. How many of the people who were asked have not yet decided for whom they plan to vote?
All the answers to 6ft.12 in
Answers
7 ft
can someone help!!!plz
Answers
if the given angles are: 20x+5 and 24x-1, then according to the property of the adjacent angles their sum is 180°:
(20x+5)+(24x-1)=180; and
x=176/44=4
answer: 4.
Caitlin has 4 and 3/4 lb of place use 1 1/10 pound to make a cup and another 2 pounds to make a jar how many pounds are left
Answers
4 3/4---------> (4*4+3)/4----------> 19/4
1 1/10-----------> (10*1+1)/10----> 11/10
[pounds left]=[(19/4)-(11/10)-(2)]----> (10*19-4*11-40*2)/40
=(190-44-80)/40-------> 66/40---------> 1.65 pounds
1.65-----> 1 65/100--------> 1 13/20 pounds
the answer is 1.65 pounds (1 13/20 pounds)
What is the value of x when 3/x+6=6/8x-12
Answers
6(x+6) = 3(8x-12)
6x+36 = 24x-36
36+36= 24x-6x
72= 18x
4=x
X=4
A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 6 feet from the base of the building. How high up the wall does the ladder reach?
Round to the nearest hundredth
Answers
hope it helps
The ladder reaches a height on the wall of approximately 24.29 feet.
Explanation:To find the height on the wall that the ladder reaches, we can use the Pythagorean theorem. The ladder, the wall, and the ground form a right triangle. The ladder is the hypotenuse, the distance from the base of the building to the ladder is one leg, and the height on the wall that the ladder reaches is the other leg. Using the Pythagorean theorem, we have:
a² + b² = c²
where a is the distance from the base of the building to the ladder (6 feet), b is the height on the wall, and c is the length of the ladder (25 feet).
Solving for b, we have:
b = √(c² - a²)
Substituting the given values, we get:
b = √(25² - 6²) = √(625 - 36) = √589 ≈ 24.29 feet
Therefore, the ladder reaches a height on the wall of approximately 24.29 feet.
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if Trigg spends 23.50 on gas, what is the total distance the boys could travel
Answers
To determine the total distance Trigg could travel with $23.50, you divide this amount by the cost per gallon of gas and then multiply by the car's MPG. Using an MPG of 27 and a gas price of $2.86 per gallon as example figures, Trigg could travel approximately 221.859 miles.
To calculate the total distance Trigg could travel with $23.50 spent on gas, we need to know the car's fuel efficiency (miles per gallon) and the current gas price per gallon. Since this information isn't provided directly in your question, let's use the example information provided. Assuming a car gets 27 miles per gallon and gas costs $2.86 per gallon, we first calculate how many gallons Trigg can buy with $23.50:
Divide $23.50 by the cost of a gallon of gas ($2.86) to find out how many gallons he can purchase:$23.50 / $2.86 = 8.217 gallons (approximately).Multiply the number of gallons by the fuel efficiency of the car to find out the total distance: 8.217 gallons x 27 miles per gallon = 221.859 miles (approximately).
Therefore, with $23.50 and the given fuel efficiency and gas price, Trigg could travel approximately 221.859 miles.
Each voter in a county is given a number that uniquely identifies them. A computer is used to select 500 of these numbers at random. The 500 voters identified by the computer are interviewed for a study. Which type of sampling was used? convenience cluster systematic random
Answers
Answer:
Random sampling
Step-by-step explanation:
Given : . A computer is used to select 500 of these numbers at random. The 500 voters identified by the computer are interviewed for a study.
To Find : Which type of sampling was used?
1. convenience
2. cluster
3. systematic
4. random
Solution :
Definition of convenience sampling: A type of non-probability sampling method where the sample is taken from a group of people easy to contact
Definition of cluster sampling :In this sampling one divides the population into separate groups Then, a simple random group is selected from the population.
Definition of systematic sampling : A type of sampling method in which sample members from a larger population are selected according to a random starting point and a fixed, periodic interval. The interval is called sampling interval, is calculated by dividing the population size by the desired sample size.
Definition of random sampling :It is a type of sampling technique in which each sample has an equal probability of being chosen.
After considering all the definitions we can see that in the given case random sampling was used .
Hence random sampling was used .
(-3+v+3u)(-7)y
Use the distributive property to remove the parentheses.
Answers
-21uy-7vy+21y
And... wah-la! The parentheses are gone.
Happy studying.
~Brooke❤️
Jenny live 6 1/4 miles from school. Raymond lives 5 1/2 miles from school. How much farther from school does Jenny live then Raymond? Write an equation and solve it
Answers
6 1/4 - 5 2/4= 3/4
The answer is 3/4.
To find out how much farther Jenny lives from school than Raymond, we subtract Raymond's distance from Jenny's, converting both to improper fractions to subtract easily, resulting in Jenny living 3/4 of a mile farther than Raymond.
Explanation:The question asks how much farther from school Jenny lives compared to Raymond. Jenny lives 6 1/4 miles from school, and Raymond lives 5 1/2 miles from school. To find out how much farther Jenny lives from the school than Raymond, we can write an equation and solve it.
Let ‘d’ represent the difference in distance between how far Jenny lives from the school and how far Raymond lives from the school. The equation can be written as:
d = 6 1/4 miles - 5 1/2 miles
To solve this, we first convert the mixed numbers to improper fractions. Therefore, 6 1/4 miles becomes 25/4 miles, and 5 1/2 miles becomes 11/2 miles. Our equation now looks like this:
d = 25/4 miles - 11/2 miles
We need a common denominator to subtract these fractions, which is 4 in this case. So we convert 11/2 miles into 22/4 miles. The revised equation is:
d = 25/4 miles - 22/4 miles
When we subtract 22/4 from 25/4, we find d = 3/4 miles. Therefore, Jenny lives 3/4 of a mile farther from school than Raymond.
which is bigger 3.3 or 0.8
Answers
~3.3-0.8=2.5 so 3.3 is bigger than 0.8 by 2.5.
I hope this helps you:)
Elizabeth lives in San Francisco and works in Mountain View. In the morning, she has 333 transportation options (take a bus, a cab, or a train) to work, and in the evening she has the same 333 choices for her trip home. If Elizabeth randomly chooses her ride in the morning and in the evening, what is the probability that she'll use a cab exactly one time?
Answers
Now, P(using cab exactly once) = P(cab at morning and no cab in the evening) + P(no cab at morning and cab in the evening)
= P(cab, no cab) + P(no cab, cab)
= 1/3 * 2/3 + 2/3 * 1/3
= 2/9 + 2/9
= 4/9
Probability that Elizabeth uses a cab only once is 4/9.
Answer:
4/9
Step-by-step explanation:
find the slope pf the line on the grap (-2,2),(4,0) reduce all fractional answers to the lowest term.
1). -3
2 ). -1/3
3). -1
Answers
We're trying to find the slope of the line on the graph (not given, but that's okay). We're given the points (-2, 2) and (4, 0).
Using the slope equation, we simply just have to plug our points in and boom - there's your slope!
Slope equation : m = y₂ - y₁ / x₂ - x₁
Now, using our given points, we can very simply plug everything in! :)
Now, in case you didn't know which number aligns with which variable, I'll go ahead and help you out with this.
x₁ = -2 , x₂ = 4 , y₁ = 2 , y₂ = 0
Now, let's plug and chug!
m = (0 - 2) / (4 - (-2))
Simplify.
m = -2 / 4 + 2
Simplify.
m = -2 / 6
Simplify.
m = -1/3
So, our slope is -1/3.
~Hope I helped!~
Checking account A charges a monthly fee of $7 and a per-check fee of $0.20, and checking account B charges a monthly fee of $8 and a per-check fee of $0.15. How many checks would a person have to write for the two accounts to cost the same?
Answers
Answer:
ummmmmmmmmmm the answer is 20
Step-by-step explanation:
on apex
what am i supposed to do??
Answers
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
The denominator of a fraction is three more than twice the numerator. If both numerator and denominator are decreased by one, the simplified result is 7/16. Find the original fraction.
Answers
Numerator = n = x
denominator = d = 2n + 3
New Condition
(x - 1) /(2x + 3 - 1) = 7 / 16
(x - 1) / (2x + 2) = 7 / 16
Cross multiply and solve
16*(x - 1) = 7 * (2x + 2) Remove the brackets.
16x - 16 = 14x + 14 Add 16 to both sides.
16x = 14x + 30 Subtract 14x from both sides.
2x = 30 Divide by 2
x = 15
You really should check this.
Original fraction
15/33
Now subtract 1 from the top and bottom.
14/32 Divide both by 2
7 / 16 which checks out perfectly
what is the value of x enter your answer in the Box
Answers
a chef makes 1 1/2 os soup in a large pot.How many 1 cup servings can the chef get
Answers
If you entered the question wrong just reply and I will attempt to help.
Manny has a credit card with a line of credit at $4,000. He made the following purchases: $425.36, $358.33, $377.11, and $90.20. What is Manny's available credit?
Answers
Manny's available credit is $2,749.00.
Explanation:To find Manny's available credit, we need to subtract the total of his purchases from his line of credit. Manny's purchases total $425.36 + $358.33 + $377.11 + $90.20 = $1,251.00. So, to find his available credit, we subtract $1,251.00 from his line of credit of $4,000.00. The available credit is $4,000.00 - $1,251.00 = $2,749.00.
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How do you write 331 in scientific notation?
Answers
331 = 3.31 x 10²
The answer is "3.31*10^2".
Reason:
331=331*10^3
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
1.304 times 10 ^7 in standard form
Answers
First, let's first do [tex]10^7[/tex]
[tex]10*10*10*10*10*10*10=\boxed{10,000,000}[/tex]
Second step.
We do [tex]10,000,000*1.304=13,040,000[/tex]
I hope this helps you!
PLEASE HELP 50 POINTS
Consider the following equation in chemical equilibrium. C2H4(g) + H2(g) mc009-1.jpg C2H6(g) + 137 kJ What happens to the amount of ethane (C2H6) when the temperature of the system is increased? The amount of ethane decreases. The amount of ethane increases initially and then decreases. The amount of ethane increases. The amount of ethane decreases initially and then increases.
Answers
A. The amount of ethane increases.
Insurance that pays for damages to houses or businesses is called _____.
A.property/homeowners insurance
B.renters insurance
C.building insurance
D.liability insurance
Answers
Option A is correct answer.
Step-by-step explanation:
Insurance that pays for damages to houses or businesses is called - property/homeowners insurance.
The homeowners insurance protects ones personal property. This insurance deals with the insurance covers for repairing or replacing ones home and belongings, if they are damaged by fire or theft.
It also covers for the damage to others property inflicted by you or when any visitor damages your property.
Final answer:
Insurance that pays for damages to houses or businesses is called property/homeowners insurance, which covers a range of risks and includes liability coverage. The policy generally provides cash value or replacement value for the insured property and possessions.
Explanation:
The insurance that pays for damages to houses or businesses is called property/homeowners insurance. This type of insurance is crucial as it provides a safety net against various risks such as fire, wind damage, theft, and falling trees. Besides covering damages to the physical structure of a home, homeowners insurance often includes liability coverage, which protects the homeowner up to a certain amount if someone is injured on their property, except in cases where the law is being broken.
Furthermore, it is worth noting that an insurance policy generally has a cash value. If a house is destroyed, the policy will pay out the current value of the house. A replacement value policy is recommended, as it will adjust the payout based on inflation and cover the cost to replace the home, including other structures like garages and pools as well as personal property within the house.