11/12+(−7/12). Write your answer as a fraction in simplest form.

Answers

Answer 1
1/3 if you have a positive and a negative, it will turn into a positive so 11/12-7/12
Answer 2
Final answer:

The result of the operation 11/12 + (-7/12) simplifies to 1/3, because the sum of the numerators is 4, and we keep the same denominator of 12, giving us 4/12. In simplest form, this fraction is 1/3.

Explanation:

The question is asking us to perform an addition operation on two fractions. Specifically, we are asked to add 11/12 and -7/12. When adding or subtracting fractions, the most important thing is that they have the same denominator, which our fractions do. Here's how you perform the operation:

Add the numerators of the fractions: 11 + (-7) = 4.

You keep the same denominator: 12.

So, 11/12 + (-7/12) = 4/12.

To simplify this fraction, we find the greatest common divisor of 4 and 12, which is 4, and divide both the numerator and denominator by it. So, 4/12 simplifies to 1/3.

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Related Questions

How many feet does it take to go from 0 to 60?

Answers

well you would subtract 0 from 60 and you would get 60, so your answer is 60feet

There are 15 boys and 20 girls in ms.smith's algebra class. what is the ratio of boys to girls

Answers

the ratio of boys to girls are 3/4

An experimenter is randomly sampling 3 objects in order from among 48 objects. what is the total number of samples in the sample space?

Answers

16 is the answer!
Thanks (:

Rita had $300.she spent 1/3 of her money on notebooks and 1/4 of the remainder on staionary items.how much money does she have left

Answers

Rita has spent a total of $125, and her remainder is $175 

The correlation coefficient (r) between the number of miles driven x and the number of gallons of gasoline used y is 0.925
What percent of the variation in the number of gallons of gasoline can be explained by differences in the number of miles driven?
7.5%
14.4%
85.6%
92.5%

Answers

The correct answer is 85.6 hope that helps

Answer:

OptionC

Step-by-step explanation:

Given that the correlation coefficient (r) between the number of miles driven x and the number of gallons of gasoline used y is 0.925

Coefficient of determination = square of r

= 0.8556

=85.6%

Hence the percent of the variation in the number of gallons of gasoline can be explained by differences in the number of miles driven is 85.6%

Option C

3x+1<2x-3 what is x

Answers

3x+1 less 2x-3
3x less 2x-4
x less -4

Figure JKLM is a kite. What is the measure of angle K?

Answers

118 + 78 + 46 = 242

 3 inside angles should equal 360 degrees

 so angle K = 360 - 242 = 118 degrees

Answer:

(B)  the measure of angle K=118°

Step-by-step explanation:

From the given figure, ∠KJM=78°, ∠JML=118°,∠MLK=46°

Now,since JKLM is a quadrilateral and we know that sum of all the angles of a quadrilateral is =360°, thus

∠KJM+∠JML+∠MLK+∠JKL=360°

⇒78°+118°+46°+∠JKL=360°

⇒242°+∠JKL=360°

⇒∠JKL=360°-242°

⇒∠JKL=118°

Thus, the measure of angle K=118°

Which of the following statements must be true about this diagram? Check all that apply.
A. m1 + m2 = m4
B. m1 + m2 = m3
C. m4 is greater than m2
D. m4 is greater than m1
E. m3 is greater than m2
F. m2 + m3 = m4

Answers

I don’t know is maybe 3

A sample of water is heated from 10.0 (degrees Celsius) to 15.0 (degrees Celsius) by the addition of 125 J of heat. What is the mass of the water?



(I understand what the question is asking me and I know that I have to use the formula q=m•c•DT but I don’t understand how to plug in a specific heat capacity if they don’t give it to me. Please help!!)

Answers

The specific heat of water  4.184  joules  / gram  if I remember correctly

Convert the base-6 number 12345 to decimal

Answers

[tex]12345=5* 6^{0}+4*6^{1}+3* 6^{2}+2* 6^{3}+1* 6^{4}=1865 in base 10[/tex]

A decimal is a way of expressing numbers that are not whole numbers, but rather include a fractional or decimal part. The decimal equivalent of the base-6 number 12345 is 1415.

To convert a base-6 number to decimal, we multiply each digit by its corresponding weight and add the products together. The weights are 6 to the power of the digit's position, starting from the rightmost digit.

For example, to convert the base-6 number 12345 to decimal, we would do the following:

(1 * 6^4) + (2 * 6^3) + (3 * 6^2) + (4 * 6^1) + (5 * 6^0)

= 1296 + 72 + 18 + 24 + 5

= 1415

Therefore, the decimal equivalent of the base-6 number 12345 is 1415.

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HELP PLEASE!

Which of the following possibilities will form a triangle?

Side = 10 cm, side = 5 cm, side = 6 cm
Side = 10 cm, side = 6 cm, side = 3 cm
Side = 11 cm, side = 5 cm, side = 6 cm
Side = 11 cm, side = 5 cm, side = 5 cm

Answers

side= 11cm side= 5cm side= 5cm

Answer:

d

Step-by-step explanation:

 

Side = 11 cm, side = 5 cm, side = 5 cm

△RST is mapped to △R′S′T′ using the rule (x, y)→(x, −y) followed by (x, y)→(3x, 3y) .



Which statement correctly describes the relationship between △RST and △R′S′T′ ?

△RST is not congruent to △R′S′T′ because the rules do not represent a sequence of rigid motions.

△RST is congruent to △R′S′T′ because the rules represent a reflection followed by a rotation, which is a sequence of rigid motions.

△RST is congruent to △R′S′T′ because the rules represent a reflection followed by a translation, which is a sequence of rigid motions.

△RST is congruent to △R′S′T′ because the rules represent a rotation followed by a translation, which is a sequence of rigid motions.

Answers

I think it's the first one (NOT CONGRUENT) because a reflection
(y->-y) followed by a dilation (x->3x, y->3y). Reflections and rotations ARE congruent because rigid motions, but dilations/contractions change size, are NOT rigid, and therefore NOT congruent.

how to determine if a number is prime or composite

Answers

bhjhdgf srhtnrj hjlgon54543tjkl

Answer:

Look at how many factors it has.

If it has 2, it's prime.

If it has 3 or more, it's composite.

Step-by-step explanation:

I hope it helps!

Which statement is always true for any parallelogram?

a. all four angles are right angles
b. the diagonals bisect each other
c. all four sides are congruent
d. the diagonals are congruent

Answers

all four angles are right angles -wrong otherwise it would be a rectangle
the diagonals bisect each other- correct
all four sides are congruent - wrong that would be a Rhombus
the diagonals are congruent - wrong, this is the case in a rectangle, but in a parallelogram, because of the angle one side has to be shorter than the other

so b. the diagonals bisect each other is always true and therefore the solution
Final answer:

The statement that is always true for any parallelogram is that the diagonals bisect each other.

Explanation:

The statement that is always true for any parallelogram is b. "the diagonals bisect each other". To bisect means to divide into two equal parts. In a parallelogram, the diagonals (the line segments connecting opposite corners) will always divide each other into two equal parts. This can be proven by using properties of parallel lines and alternate interior angles.

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Deangelo has $7 worth of dimes and quarters in a jar. He has 7 more quarters than dimes. How many of each coin does he have? Enter your answers in the boxes. _dimes and _ quarters

Answers

0.10d + 0.25q = 7
q = d + 7

0.10d + 0.25(d + 7) = 7
0.10d + 0.25d + 1.75 = 7
0.35d = 7 - 1.75
0.35d = 5.25
d = 5.25 / 0.35
d = 15 <=== there are 15 dimes

q = d + 7
q = 15 + 7
q = 22 <== there are 22 quarters

Answer:

There are 15 dimes and 22 quarters in the jar.

Step-by-step explanation:

Deangelo has $7 worth of dimes and quarters in a jar.

Let he has d number of dimes and q number of quarters in a jar.

0.10d + 0.25q = 7 -------(1)

He has 7 more quarters than dimes.

q = d + 7 -------(2)

We replace the value of y from equation 2 in the equation 1

0.10d + 0.25(d + 7) = 7

0.10d + 0.25d + 1.75 = 7

0.35d = 7 - 1.75

0.35d = 5.25

d = [tex]\frac{5.25}{0.35}=15[/tex] dimes

Now we put this value in the equation number 2

q = 15 + 7 = 22

Therefore, number of dimes and quarters are 15 and 22 respectively.

What is the length of the hypotenuse of a right triangle if each of the two legs is 6 units?

Square root of 12
6
Square root of 72
36

Question

Answers

6 squared is 36 both legs must be squared so 36 times 2 is 72. Then you would have to square root the 72. so it is the square root of 72
The hypotenuse of the right triangle would be the square root of 72.

It can't be 6 because the hypotenuse cannot equal the same as the legs

It can't be 36 because then one of the legs would have to be 35.5 in length

It can't be the square root of 12 because that would mean its length is 3.46

If a barber is capable of cutting the hair of 35 people per day and he works 7 days per week, how many haircuts could he give during the months of april, may, and june?

Answers

June=1,225
April=1,225
May=1,225

All June April and May is 3,675 haircuts

The sum of two numbers is 28 and their difference is 4. What are the numbers?

Answers

The sum of the two numbers would be 12 and 16. 12+16=28 and 16-12=4
x+y=28----(a)
x-y=4----(b)
(a)-(b)
2y=24
y=24/2=12----(c)
use (c) in (b)
x=4+12=16

All the best

Jeff bought 10 cookies and ate 4 of them. He ate what percent of the cookies.

Answers

60 percent was left
10-4=6
4=40%
We can set this up as:
[tex] \frac{4}{10} = \frac{x}{100} \ To\ help\ us\ find\ the\ percentage.\\ Cross\ multiply\ to\ give\ you\ 400 = 10x\\ Divide.\ 400/10 = x\\ X = 40.\\ [/tex]
So, 40% was eaten

It is the morning of the sandcastle-building competition at the beach. Dory has been looking forward to this event for months. According to her weather app, there is an 80% probability of high winds in her area today. Which of the following BEST describes the MOST likely way the probability was determined?

Answers

Answer:

B) Historically, in this area, high winds occur 80% of the time on days with similar meteorological conditions as today.

Explanation:

Meteorologists calculate the probability of certain weather conditions by dividing specific outcomes by the total number of possible outcomes. For example, to find out the probability of raining on a certain date, meteorologists use a large database which contains information about how many times it rained when the meteorological conditions were similar. If historically it rained during 5,000 days out of 8,000 total days that had a similar meteorological condition, then the probability of rain will be 5,000 / 8,000 = 62.5%

A collection of dimes and nickels is worth $5.60. The ratio of dimes to nickels is 3:2. How many dimes and how many nickels are there?

Answers

now, the nickels and dimes are at ratio of 3:2.  However, the total amount is in dollars.  So let's convert all amounts to pennies then.

$5.60 is just 560 pennies

3 dimes is just 30 pennies

2 nickels is just 10 pennies

so, the ratio from dimes to nickels is a ratio of 30:10 pennies, or 3:1 then, for a total amount of 560 pennies.

[tex]\bf \cfrac{dimes}{nickels}\qquad 3:2\qquad\cfrac{\stackrel{pennies}{30}}{\stackrel{pennies}{10}}\implies \cfrac{30}{10}\implies \cfrac{3}{1}\implies 3:1~ratio \\\\\\ \cfrac{\stackrel{dimes}{pennies}}{\stackrel{nickels}{pennies}}\qquad 3:1\qquad \cfrac{3}{1}\implies \cfrac{3\cdot \frac{560}{3+1}}{1\cdot \frac{560}{3+1}}\implies \cfrac{3\cdot 140}{1\cdot 140}\implies \cfrac{420}{140}\\\\ -------------------------------[/tex]

[tex]\bf \textit{now, how many dimes in 420 pennies?}\quad \cfrac{420}{10}\implies 42~dimes \\\\\\ \textit{and how many nickels in 140 pennies?}\quad \cfrac{140}{5}\implies 28~nickels\\\\ -------------------------------\\\\ 42~dimes + 28~nickels\implies \$5.60[/tex]

There are 42 dimes and 14 nickels there if the collection of dimes and nickels is worth $5.60

First, we need to convert dimes and nickel to pennies to have:

1 dime = 10 pennies

1 nickel = 5 pennies

Since the ratio of dimes to nickels is 3:2, this shows that we have 30  dimes and 10 pennies

Total pennies  = 30 + 10 = 40 pennies

Since the total collection of dimes and nickels is worth $5.60, this means that the total collections in pennies are 560 pennies ($1 is 100 pennies)

Number of pennies for the ratio of 30 = 30/40 * 560

Number of pennies for the ratio of 30 = 420

Number of dimes = 420/10 = 42 dimes

Number of pennies for the ratio of 10 = 10/40 * 560

Number of pennies for the ratio of 10 = 140

Number of nickel = 140/10 = 14 nickels

Hence there are 42 dimes and 14 nickels there if the collection of dimes and nickels is worth $5.60

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Is the mass of one pound of lead greater than less than or equal to one pound of feathers?

Answers

Equal to because they are both still a pound in weight :D

An equilateral triangle is also a(n) _____ triangle. obtuse right isosceles scalene

Answers

The answer is probably isosceles, because if the angles and congruent, the sides are congruent as well.

For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional.
If x = 7, then x2 = 49.

a. If x2 = 49, then x = 7. True; x^2 = 49 if and only if x = 7.
b. If x2 = 49, then x = 7. True; x = 7 if and only if x^2 = 49.
c. If x2 = 49, then x = 7. False
d. If x2 = 7, then x = 49. False

Answers

The converse of 'If x = 7, then x^2 = 49' is 'If x^2 = 49, then x = 7' which is considered true in the real number system. So, these can be combined as a biconditional: 'x = 7 if and only if x^2 = 49.'

The problem involves understanding the conditional, converse, and biconditional statements in mathematics logic. The initial conditional statement is 'If x = 7, then x^2 = 49.' We then need to assess the converse of this, which would be 'If x^2 = 49, then x = 7.' This converse statement is actually true, though it’s implied that we are dealing with real numbers. That’s because, in the real number system, when x^2 = 49, then x could technically be either 7 or -7.

However, because the original statement specified that x = 7 directly, we can say that both the conditional and converse are true. Therefore, these two statements can be combined as a biconditional. The biconditional statement, which is a statement that is accurate if both the conditional and converse are true, would be: 'x = 7 if and only if x^2 = 49.'

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If a car travels 30 mph for 1 hour, and 40 mph for 1 hour, what is the average velocity of the trip?

Answers

Average velocity equals total distance divided by total time. The car travels a total of 70 (30+40) miles for a total time of 2 hours. Average velocity = 70/2 = 35 mph.

What is the probability that the next flood will occur four years from now?

Answers

1 in 100 or 1/100 would be the probability

a group of 150 students were asked to identify 55 flowers. the relative frequency table shows the results. about how many students identified at least 35 flowers?

Answers

5+31+19= 55 so D is your answer 

Answer:

55 Students identified at least 35 flowers.

Step-by-step explanation:

Here we have to ask at least 35 flowers, so there are only 3 classes. i.e. 35 - 41, 42 - 48, 49 - 55.

Thus, Number of Students identified at least 35 flowers is: 5 + 31 + 19 = 55

Further, Frequency is the number of repetitions of particular observation or class.

Relative frequency is the proportion of frequency. For finding the Relative Frequency divide the frequency of that observation or class to the total frequencies.

plzz help me i hate word problems

Answers

Unfortunately, I can't read it..about 42 grams should be the answer.

Need help with perfect square! 40 points

Answers

the value of C would be 25

to be a perfect square C needs to be a number that can be squared

 and the middle term needs to be able to be multiplied by 2 or -2 of the square of the 3rd term (C)

 so in this case C = 25

 25 can be squared ( square root of 25 is 5)

square root of 25 (5) times 2 = 10 ( 2nd term)

C = 25

Jessica can paint a room in 12 hours. If Mary helps, it takes them 10 hours. Without help how long would it take for mary to finish this job?

Answers

Well we know that mary can help remove 2 hours. that means it must take her 12+2=14 hours for mary to finish the job
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