3a/4+2a/3-a/12

a. a/3
b. 4/3
c. (4a)/3​

Answers

Answer 1

Answer: C

Step-by-step explanation:

[tex]\frac{3a}{4}+\frac{2a}{3}-\frac{a}{12}[/tex]

Find the least common denominator of 4, 3, and 12.

4-3-12 | 3

4-1-4   | 4

1-1-1    |-------- 12

The first fractions needs to be multiplied by 3, and the second fraction, by 4

[tex](\frac{(3a)*3}{(4)*3})+(\frac{(2a)*4}{(3)*4})-\frac{a}{12}[/tex]

Solve;

[tex]\frac{9a}{12}+\frac{8a}{12}-\frac{a}{12}[/tex]

Add the fractions with positive signs and subtract the one with negative sign.

[tex]\frac{(9a+8a)-a}{12}[/tex]

Solve;

[tex]\frac{17a-a}{12}=\frac{16a}{12}[/tex]

Simplify by 4;

16/4=4

12/4=3

[tex]\frac{4a}{3}[/tex]

Answer 2

Answer:

(4a)/3

Step-by-step explanation:

3a/4+2a/3-a/12

find L.C.M

9a+8a-1a/12=16a/12

16a/12=(4a)/3


Related Questions

Students measure objects in their desks and the data are shown in the line plot below. If the objects are to be connected end to end,what would be the total length?

Answers

This question is incomplete because it lacks the diagram of the line plot. Find attached to the answer, the diagram of the scatter plot.

Answer:

35/8 inches or 4 3/8 inches.

Step-by-step explanation:

Reading the line plot, the number of objects is plotted vertically while the length of the object is arranged horizontally on the line plot.

The total length is calculated as: summation of the (Number of objects × Length of the objects)

= [(1/8 ×0) + (1/4×0) + (3/8 × 2) + (1/2 ×3) + (5/8 × 1) + (3/4 × 2) +(7/8 × 0)] inches

=[ 0 + 0 + 3/4 + 3/2 + 5/8 + 3/2 + 0] inches

= 35/8 inches or 4 3/8 inches.

Therefore, the total length of the objects if they are connect end to end is 35/8 inches or 4 3/8 inches.

A basketball has a circumference of 31.4 inches. Using 3.14 as an approximation for pie, what is the basketball's volume to the nearest cubic inch?

Answers

Answer:

0.52 cubic inches

Step-by-step explanation:

Given: circumference of a basketball is 31.4 inches.

[tex]\pi =3.14[/tex]

To find: basketball's volume to the nearest cubic inches

Solution:

circumference of a basketball (sphere) = 6.28(radius)

Also, circumference of a basketball = 31.4 inches.

So, 6.28(radius) = 3.14

radius = [tex]\frac{3.14}{6.28}=\frac{1}{2}[/tex] inch

Volume of the basketball (sphere) = [tex]\frac{4}{3}(\pi )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches[/tex]

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$93,996

Step-by-step explanation:

i = prt

i = ($53,712)(.15)(5)

i = $40, 284

$40, 284 + $53,712

$93,996

Answer:

$92996

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 53712 × 15/100 × 5

I = $40284

He has = 40284 + 53712 = $93996

Consider this right triangle with the given measures.

A triangle has side lengths 5 inches and 12 inches. The hypotenuse is unknown.

What is the length of the hypotenuse?

1.  52 + 122 =c2

2.  25 + 144 =c2

3.  169=c2


c=

Answers

Answer:

c=13

Step-by-step explanation:

You then square root both sides of the equation and the square root of 169 is 13.

Hope this helps! :)

Answer:

c is 13

Step-by-step explanation:

trust me bro

Eric created a rectangular patio 1 ft.² paving stones which are sold in batches by a dozen the patio measures 7‘ x 8‘ how many batches of Pavingstone did Eric need

Answers

Answer:

The number of batches of paving stones Eric needs is 5 batches

Step-by-step explanation:

Here we have the size of of one paving stone = 1 ft²

The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²

Therefore, the number of paving stones Eric needs per patio is given by the relation;

[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]

Since the paving stones are sold in batches of one dozen, we have ;

4 batches = 48 paving stones and 5 batches = 60 paving stones

Therefore, the number of batches of paving stones Eric needs = 5 batches.

4.16×10^−5 divided by 8.0×10^−4 in scientific notation

Answers

Answer: 13/250 or 0.052

Step-by-step explanation:

4.16 (1/100000)/ 8 (10^-4)

Then keep doing order of operations and dividing down.

Answer:

5.2*10^-2

Step-by-step explanation:

A cylinder and it’s dimensions are diameter 8.4cm and height 10.9cm. Which measurement is closest to the lateral surface area of the cylinder in square centimeters

Answers

Answer:

287.64

Step-by-step explanation:

2πrh is the formula you use for the lateral surface area.

to get radius, we know its half of the diameter so 4.2.

plug them in and you get your answer :)

Measure of angle r is 22. Find the measure of angle 0

Answers

Is there a picture to this question

* Approximate the value of V5 to the nearest hundredth.

Answers

Answer:

2.24

Step-by-step explanation:

If you mean sqrt(5), then the answer is 2.236, which rounds to 2.24

I'm going to assume you mean √5.

√5 is not a perfect square but it can evaluated into a non-terminating decimal.

√5 = 2.23606797...

Round to the nearest hundredth.

2.23606797... → 2.24

Therefore, the answer is 2.24

Best of Luck!

Simplify the following expression (6x2 + 8x - 3) - (3x2 - 6)

Answers

Answer:

3x^2 +8x +3

Step-by-step explanation:

(6x^2 + 8x - 3) - (3x^2 - 6)

Distribute the minus sign

(6x^2 + 8x - 3) - 3x^2 + 6

Combine like terms

3x^2 +8x +3

A 4-foot long steel pipe consists of two concentric cylinders, with the inner cylinder hollowed out. The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe is 5.75 inches.

A. Determine the volume of metal used to build the pipe

B. If the pipe is to be powder-coated on the inside and outside surfaces, what is the total surface area to be powder-coated?

Answers

Answer:

Step-by-step explanation:

The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe

is 5.75 inches

Determine the volume of metal used to build the pipe.

Kristen made sails for a model boat. She cut along the diagonal of a rectangular piece of cloth to make two sails, shown.

A) 2 1/3 ft
B) 2 7/12 ft
C) 4 2/3 ft
D) 9 1/3 ft

Answers

Answer:

2 1/3 ft^2

Step-by-step explanation:

Take the area of the rectangle

A = l *w

   4 * 1 1/6

   4 * 7/6

  28/6

Divide this in half since the rectangle is cut in half by using the diagonal

28/6 *1/2

28/12

7/3

Changing to a mixed number

2 1/3

You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 555 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.
If you randomly choose your character and tool, what is the probability that you won't be a hobbit or use an umbrella?

Answers

Answer:

There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.

Determine the slope and y-intercept. 4x + y = -10

Answers

Answer:

slope = -4

y-intercept = -10

Step-by-step explanation:

First, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:

4x + y = -10

4x (-4x) + y = -10 (-4x)

y = -4x - 10

Note the slope intercept form: y = mx + b

y = y

m = slope = -4

x = x

b = y-intercept = -10

Answer:

slope m=-4

y intercepts (0,-10)

Step-by-step explanation:

Plz, help me plz!!!!!!
Which triangles are congruent?
Image below

Answers

Answer:

B. Triangles A and C

Step-by-step explanation:

Let's find the missing angle of all Triangles:

Triangle A: 180-110-30=40°

Triangle B: 180-30-45=105°

Triangle C: 180-110-40=30°

All triangle angles in numerical order:

ΔA: 30, 40, 110

ΔB: 30, 45, 105

ΔC: 30, 40, 110

We see that only ΔA and ΔC are congruent with the same angle sizes.

A and C

The are both have the same measurements

what is the median of the following number: 40, 49, 62, 56, 68, 39, 50, 61, 54, 44

Answers

Answer:

52

Step-by-step explanation:

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

39, 40, 44, 49, 50, 54, 56, 61, 62, 68

[tex]\frac{50 + 54}{2}[/tex] = [tex]\frac{104}{2}[/tex] = 52

Answer:

52

Step-by-step explanation:

The radius of a cylindrical water tank is 6.5 ft, and its height is 11 ft. What is the volume of the tank? Use the value 3.14 for pie, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

What is a cylinder?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

Radius r = 6.5ftHeight h = 11ftConstant pi π = 3.14Volume of the cylindrical water tank V = ?

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (6.5ft)² × 11ft

V = 3.14 × 42.25ft² × 11ft

V = 1459ft³

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

Learn more on volume of cylinder here: brainly.com/question/16788902

The answer to 7/12 divided by 2

Answers

Answer: 7/24

Step-by-step explanation: Think of the 2 as 2/1.

When dividing by a fraction, we can simply change, we can simply change the multiplication sig to division and take the reciprocal of the second fraction or flip the second fraction.

So our problem can be rewritten as [tex](\frac{7}{12})[/tex] [tex]x[/tex] [tex](\frac{1}{2})[/tex].

Now multiplying across the top and bottom we get 7/24.

Answer:

7/24

Step-by-step explanation:

the guy was right! (also khan said so)

y - 4x = 5
8x - 2y = 16
Solve using system of equations

Answers

Answer:

No solution

Step-by-step explanation:

Let's solve this system using elimination through addition/subtraction.  Multiply the second equation by (1/2), which results in the system

y - 4x = 5

4x - y = 8

--------------

0x + 0y = 13.  This is NEVER true.  This system of equation has NO  SOLUTION.

Which set of three angles could represent the interior angles of a triangle?
A:199, 709, 910
B:470, 120, 310
C:50°, 20° 20°
D:250, 250, 100%

Answers

C would be the correct answer

Answer: B

Step-by-step explanation:

PLZZZZZZZZZZ HELP MEEEEEEEE

Answers

Answer:

D

Step-by-step explanation:

[tex]2x^2+2x+12=3x^2-x+2\\2x+12=x^2-x+2\\x^2-3x-10=0\\(x-5)(x+2)=0\\x=5, -2[/tex]

The correct answer is choice D. Hope this helps!

Answer:

{-5, 2}

Step-by-step explanation:

  [tex]2x^{2} + 2x + 12 = 3x^{2} -x + 2[/tex]    move everything to the right side

[tex]-2x^{2} -2x-12=-2x^{2} -2x-12[/tex]  add line 1 and 2 to get the below equation

                      [tex]0 = x^{2} -3x -10[/tex]   find multiples of -10 that add to give you -3

                                                    to get -10 we have to have (+)(-)

                                                           {-5, 2}

                     

The sale price of ground beef at a local grocery store is $1.49 for the first pound and $1.09 for each additional pound. Which function rule shows how the cost of ground beef, y depends on the number of pounds, x?

Answers

Answer:

y=1.09x+0.4

Step-by-step explanation:

Let's assume that the price of beef stays the same for every pound of beef (the first pound is also $1.09)

Then, the equation would be, it y was the cost, and x was pounds:

y=1.09x

But, the price of beef is not the same for the first pound.

The first pound costs an extra 1.49-1.09=0.4 dollars a pound, so we will add that to the equation.

y=1.09x+0.4

please please help me ​

Answers

Answer:

a) 22, b) i. 5/11, ii. 5/11, iii. 7/11

Step-by-step explanation:

a) 3+6+3+5+4+1 = 22 total number  of students

b)

i. Number of girl/total number of students= 10/22 = 5/11

ii. blond hair/total number of students = 10/22 = 5/11

iii.

Number of girl/total number of students= 10/22 = 5/11

red hair/total number of students = 4/22 = 2/11

P(a girl or red hair) = 5/11 + 2/11 = 7/11

3 POINSSSSSS
The bar graph shows the results of rolling a number cube (a die) 50 times. What is the probability of rolling an odd number? How does this compare with the theoretical probability of rolling an odd number?

Experimental Probability. Theoretical Probability

P(odd) = % P(odd) = %

Answers

Answer:

see below

Step-by-step explanation:

Experimental means what actually happened

P(odd) = (number of 1 + number of 3 + number of 5) / total

           = (10+8+8) / 50

           = 26/50

           = 13/25 = 52%

Theoretical means  what we expect to happen

P (odd) = (number of 1 + number of 3 + number of 5) / total

             =(1+1+1)/6

             =1/2 = 50%

We rolled an odd just a little more than the expected amount of times

Answer:

yes

Step-by-step explanation:

John should drive to his workplace and back to home. On the way to the workplace it was raining, so he drove at a speed of 42mph. On the way back the rain was over so his speed was 54mph. What was John's average speed, for the whole trip?

Answers

The answer is 48 mph. You take the two numbers and add them. Then divide by two since there are two numbers. Then you should get the overall average.

Stir-fry is tony's favorite food to cook, but it always makes a lot of smoke! Tony needs to know the volume of his kitchen so he can buy a fan that is the right size. Tony's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of tony's kitchen?

Answers

Answer:

Volume = 680 ft³

Step-by-step explanation:

Given

Floor Area = 85 ft²

Height = 8 ft

Required

Volume of the Kitchen

To solve this, it'll be assumed that Tony's kitchen has a regular shape.

Having said that, the volume of Tony's kitchen is calculated as thus.

Volume = Floor Area * Height.

Substitute the values of floor area and height

Volume = 85ft² * 8ft

Volume = 680 ft³

Hence, the volume of Tony's kitchen is 680ft³

1. Express as a unit rate

a) Serena walks 4 km in 1 h.

Answers

Answer:

Step-by-step explanation:

Serena walks 4 km in 1 h.

That means:

1) She walks 4 km per hour.

2) She spends 1/4 = 0.25 hour per mile.

Have a good day.

We can write this as:

4 kilometers/1 hour

The unit rate is already simplified so there is nothing else to do.

Answer: 4km/1hr

Best of Luck!

what is the slope of the line that passes through the points (-4,-4) and (-4,-9)? Write your answer in simplest form

Answers

Answer:

undefined

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/(x2-x1)

   = (-9- -4)/(-4 -  -4)

    = (-9+4)/(-4+4)

   = -5/0

When we divide by zero, our solutions is undefined

The slope is undefined

6. David leaves the house to go to school He walks 200 m west and 125 m
north. Calculate how far he is from the sting point.

Answers

Answer:

~235.8

Step-by-step explanation:

200^2 +125^2= distance traveled^2

55625= distance traveled^2

235.849528301

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1. Why are the events are not independent?

Answers

Answer:

Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this question, we have that:

[tex]P(A) = 0.4, P(B) = 0.2, P(A \cap B) = 0.1[/tex]

However

[tex]P(A)P(B) = 0.4*0.02 = 0.08[/tex]

Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.

Answer:

C

Step-by-step explanation:

edg 2020

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