What is the sum? StartFraction x Over x 3 EndFraction StartFraction 3 Over x 3 EndFraction 2 Over x 3 EndFraction.

Answers

Answer 1

The sum of the considered expression is evaluated to be [tex]\dfrac{x+6}{x+3}[/tex]

How to find the sum of a algebraic fractions?

Finding the least common multiples of the denominator expressions can help. Then using the similar method as we use in sum of fractions would give the sum of algebraic fractions.

For example,

[tex]\dfrac{a}b} + \dfrac{c}{d} = \dfrac{a \times d + c \times b}{bd}[/tex]

For the considered case, the sum of the given expression is easy to evaluate as the denominators are all same, so their sum will directly apply to their numerators.

The sum is evaluated as follows:

[tex]\dfrac{x}{x+3} + \dfrac{2}{x+3} + \dfrac{2}{x+3} = \dfrac{x + 2 + 3}{x+3} = \dfrac{x + 6}{x+3}[/tex]

Thus, the sum of the considered expression is evaluated to be [tex]\dfrac{x+6}{x+3}[/tex]

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Related Questions

36.00x0.07 show explanation

Answers

Answer: 2.52

Step-by-step explanation: 36.00x0.07

36.00 is the same as 36

so, 36x0.07=2.52

HELP I NEED A ANSWER ASAP

Answers

Answer:

x=-19

Step-by-step explanation:

x-5=2x+14

-x=19

x=-19

2. Arrange the whole numbers from 1
to 15 in the boxes below so that no
number is repeated and the sum of
the numbers in any two adjacent
boxes is a perfect square.

Answers

Is there a picture for the problem?

i need help with my home work

Answers

Answer:

I would say 3

Step-by-step explanation:

ABC is a scaled down triangle of AED

Have an amazing day!

Please rate!

The initial amount of the function is 11​, and then it decreases by a factor of 5/8
with each unit increase in x.

The function that describes the situation is y = ?

Answers

The linear function that represents the situation where is expressed as: y = 5/8x + 11.

What is a Linear Function?

Given a relation that has initial value as b and m as the unit rate, a linear function that represents the relation is expressed as: y = mx + b.

Given:

Unit rate = m = 5/8Initial value = b = 11

Substitute the values into y = mx + b.

y = 5/8x + 11

Thus, the linear function that represents the situation where is expressed as: y = 5/8x + 11.

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What is the remainder when
1234
×
5678
is divided by 5?

Answers

Answer:

4

Step-by-step explanation:

Because when 1,234 is x by 5,6780=7 million,6thousand and 652 so when that is divided by 5 it=1,401,330 with r 4.

Hope this helps have a great afternoon:)

Answer:

2

Thanks!

Answered by: FieryAnswererGT

#learnwithbrainly

6 times what is 36
please answer in a correct fashion

Answers

Answer:

6

Step-by-step explanation:

36/6=6

Hope this helps <3

Answer:

6

Step-by-step explanation:

plsss plsss plsss help​

Answers

For the table, look at the x and corresponding y values in the graph.

X 0. 1. 2. 3
Y 30 31 32 33

Y = x+30

Consider the following figure where △ABC ~ △DBE.

Triangle A B C contains two points and a horizontal line segment.
The left side of the triangle starts at vertex A, travels up and to the right, and ends at vertex B.
The right side of the triangle starts at vertex B, travels down and to the right, and ends at vertex C.
The bottom side of the triangle is horizontal, starts at vertex A on the left, and ends at vertex C on the right.
Point D is located on side A B but is closer to A than B.
Point E is located on side B C but is closer to C than B.
The horizontal line segment extends from point D and ends at point E.
Given:
CB = 12, CE = 2, AD = 5
Find:
DB
(Hint: Let DB = x, and solve an equation).
DB =

Answers

Given that △ABC and △DBE are similar triangles, the length of DB is: 25

What are Similar triangles?

The ratio if the corresponding sides of two triangles that are similar are the same, meaning, their sides are proportional.

Given that:

△ABC ~ △DBECB = 12CE = 2AD = 5

Thus:

Let DB = x

Therefore:

BD/BA = BE/CB

Substitute

x/(x + 5) = 10/12

Cross multiply

12x = 10x + 50

12x - 10x = 50

2x = 50

x = 25

Therefore, given that △ABC and △DBE are similar triangles, the length of DB is: 25

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solve for x:
log x + log 8 = 2

Answers

Answer: The answer is 252

Step-by-step explanation:

:)))

Answer: Answer is attached

Step-by-step explanation:

The cost of a refrigerator was $1,242. The sales tax rate is 8%of purchase price

Answers

1242 x 8%=99.36

99.36+1242= 1341.36

Let me know if you have any questions!

trying to make the longest chain of answers dont mess it up. 5X5 is ________

Answers

Answer:

5x5=25

Thanks

Sorry, I don't know what you mean by LONGEST CHAIN

convert into minute and second.
a. 270second

Answers

Answer:

There are 60 seconds per minute.

a) 270 seconds,

270 seconds/60 seconds (a single minute) = 4 minutes and 30 seconds

60 goes into 270, 4 times so that's 4 whole minutes with a remainder of 30 seconds.

Answer:

The answer is 4 minutes 30 seconds

Tell whether the angles are adjacent or vertical. Then find x

Answers

The Angles are adjacent and since they are both on a straight line it means that the sum of the angle is 180 degrees, so we get the equations:

     [tex](6x) + (x - 2)=180\\7x = 182\\x=26[/tex]

So x = 26.

Hope that helps!

     

Find the ratio of:
(a) 5 km to 400 m
(b) 2 hours to 160 minutes

Answers

Answer:

Answer - a) 1:80

               b) 1:80

Step-by-step explanation:

All the ratio should be written in lowest form. these are the answers for both the questions.

Pls Mark Brainliest !!!!!!!!!!!!!!

a) 1 km =1000 m
5 km*1000 =5000m
=5000:400. = 50:4

b) 1 hours = 60 minutes
2 hours *60 minutes =120 minutes
=120 minutes :160 minutes =(12:16)/4
=3:4

The last time David filled up his truck with gas, he paid $27.44 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?
help

Answers

Answer:

58.8

Step-by-step explanation:

Because when he paid for it the first time he got 3.92$ per gallon so if you times 3.92 x 15 that's how much he is going to pay.

Hope it helps have a great afternoon:)

pls give brainliest

ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore ignore

✓a²=a find out ✓a² not Equal a​

Answers

Answer:

It can't be anything other that a maybe the question is wrong ask a tutor

have a nice day

Step-by-step explanation:

Answer:

√a² = |a|

Step-by-step explanation:

√a² = |a| not a

because the amount of "a" can be negative and when it reaches power 2 the minuse sign converts to plus sign , so we must use absolute value : |a| . notice that the answer never can be negative.

example:

a = -2

√(-2)² = √+4 = |-2| = 2 -2

Write a story problem to go with the multiplication problem. 5x 3/4 Then solve the problem.

Answers

Story : Your mother just bought you 5 pizzas to celebrate your A+ grade :). And you decided to do a challenge your mother told you to : Every minute, you will have to eat 3/4 of a pizza. After 5 minutes, how much of the 5 pizzas did you eat?


Answer : 5 x 3/4 = 15/4

find the measure of each angle indicated (30 points)

Answers

Answer:

? = 20°

Step-by-step explanation:

This is if 25 is to the right.

Sally bought 3 popcorns for a total of 18 dollars. How much does each box cost? Write an equation to solve the problem with c as your variable.
1 c+18=6
2 3c=18
3 18c=6
4 c+6=18

Answers

Answer:

Answer may be c+18=6

Step-by-step explanation:

If you reverse the equation to 18/3 you will get 6

30. 9, -27, 81, -243, ...
Find the next number

Answers

Answer:

729

Step-by-step explanation:

Write the recursive formula through the pattern:

[tex]a_{n+1}=-3a_{n}[/tex]

Find terms of sequence through 9, -27, 81, -243 :

729

I hope this helps you

:)

Factorise 5x+10x(b+c)

Answers

Answer:

Answer attached

Step-by-step explanation:

hope u understand

someone please answer this, ill give you brainliest and your getting 100 points.

Answers

Answer:

Step-by-step explanation:

First sequence : 10,9.5,9,8.5,...

Let's see the difference between 2 numbers :
10 - 9.5 = 0.5
9.5 - 9 = 0.5
9 - 8.5 - 0.5

So on and so on. So, the common difference between these numbers are 0.5

Next sequence : 200,100,50,25, ...

We see, to get from one number to another, we divide it by 2 / multiply it by 1/2.

200 x 1/2 = 100
100 x 1/2 = 50
50 x 1/2 = 25

So on and so on. So, the common ratio of these numbers are 1/2.

Answer:

Step-by-step explanation:

A common difference is the number you need to get from a chosen number on your left to get to the next number going right.

In the first sequence, you start with 10 on your left.

To get to the next number going right, you need to subtract 0.5 or add - 0.5

In any event, the common difference is -0,5

The second problem is a little  harder. It does not follow the same sort of pattern that the first question does. This time you are multiplying or dividing.

200 * 1/2 = 100

100 * 1/2 = 50

50 *  1/2 = 25

25 *  1/2 = 13.5

So the common ratio is 1/2

Tony started to run on a treadmill after setting it’s timer for 78 minutes the display says he finished 78% of his run how many minutes have gone by round your answer to the nearest tenth

Answers

Answer:

60.9

Step-by-step explanation:

When finding the amount of a percentage you move the decimal to the left twice in the percentage.

So, 78 x .78 = 60.84

Since it needs to be rounded to the nearest tenth, the answer would be 60.9 minutes.

Hope this helps!! :)

urgent helppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

A.)

P=22.5 cm

A=22.5cm

B.)

P=19m

A=21m

Plssss will give Brainliest

Answers

Answer:

Step-by-step explanation:

The relationship that exists between the length of the hypotenuse and the length of the legs is that the sum of both of the legs lengths squared is equal to the hypotenuse length's squared or in other words, the Pythagorean theorem.

[tex]6^{2} +8^{2} =10^{2}[/tex]

Hope that helps!

How do you find the slope intercept form of the equation of the line through the points (-4,2) and (0,-5).

Answers

Answer:

[tex]y=-\frac{7}{4} x-5[/tex]

Step-by-step explanation:

How do you find the slope intercept form of the equation of the line through the points (-4,2) and (0,-5).

Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-5-2}{0-(-4)} =\frac{-5-2}{0+4}=\frac{-7}{4}=-\frac{7}{4}[/tex]

[tex]y = mx + b[/tex]

[tex]y=-\frac{7}{4} x-5[/tex]

*View attached graph to check your answer*

Hope this helps!

A. The electric clothes dryer you are interested in buying costs $300 with tax.
It uses $0.50 of electricity for one hour of drying.
What is the rate of electric use (slope)?


B. What is your beginning cost (y-intercept)?


C. Write this as a linear equation in y = mx + b form.

Answers

Answer:

A. 0.5/hour

B. 300

C. y=0.5x+300

Using the spinner, what is the
probability of spinning two odd
numbers in two spins? (1/4)

Answers

Answer:

that the answer

u gonna get it right

25%


Help me please !

The city of Claremont is planning to make a 5-foot wide path around the outside of a park that is 190 feet by 110 feet. They will choose between concrete and mulch. The concrete will cost $6.05 per square foot and the
much will cost $1.42 per square foot. How much will the city save by choosing to use much? Enter the answer in the box

Answers

Answer:

The answer is $1,0427 that is the answer

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