What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5

Answers

Answer 1

Answer:

[tex]\frac{3x+4}{x+5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2x+7}{x+5}[/tex] + [tex]\frac{x-3}{x+5}[/tex]

Since both fractions have a common denominator then add the numerators, placed over the common denominator.

= [tex]\frac{2x+7+x-3}{x+5}[/tex]

= [tex]\frac{3x+4}{x+5}[/tex]

Answer 2

Answer:

The answer is

[tex] \frac{3x + 4}{x + 5} [/tex]

Step-by-step explanation:

We can do this by using the denominators.

[tex]then \\ \frac{2x + 7}{x + 5} + \frac{x - 3}{x + 5} \\ = \frac{2x + 7 + x - 3}{x + 5} \\ = \frac{3x + 4}{x + 5} [/tex]


Related Questions

Can someone help me with this please .

Answers

Answer:

4

Step-by-step explanation:

78

I need help on this and please explain to​

Answers

Answer:

[tex]\displaystyle m=-0.2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-10, 6) → x₁ = -10, y₁ = 6

Point (-15, 7) → x₁ = -15, y₁ = 7

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{7-6}{-15+10}[/tex][Fraction] Subtract/Add:                                                                                 [tex]\displaystyle m=\frac{1}{-5}[/tex][Fraction] Convert:                                                                                          [tex]\displaystyle m=-0.2[/tex]

We will be using the above formula. The answer will be a bit rough.

Okay. So our two points are (-10, 6) and (-15, 7). The number first in the brackets is always the 'x' variable while the second number in the bracket is always the 'y' variable. I will be using ² instead of the bottom 2 (As shown in the formula).

x = -10 x² = -15

y = 6 y² = 7

7 - 6

m = ———

- 15 - (-10) = -15 + 10

1

m = ——— OR - 0.2

- 5

solve for x: 17/x+10 = 16/x
x=____​

Answers

Answer:

X = -1/10

Step-by-step explanation:

[tex] \frac{17}{x} - \frac{16}{x} = - 10 \\ \frac{1}{x} = - 10 \\ 1 = - 10x \\ x = \frac{1}{ - 10} [/tex]

A group of 50 students at a day camp got to choose an activity to do. 21
chose to make a craft, 16 chose to play volleyball and 13 chose to go on
a nature walk. What percent chose to make a craft?

Answers

(THIS ANSWER HAS BEEN DELTED FROM THE BRAINLY STAFF)Reason: 5839636 (SPAMING, IN.)Dear user, we are very sorry for what this user has done and said. For help go to Brainly.comquestionconcerns

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2-19-21

The difference of a number and seven

Answers

Answer: x-7

Step-by-step explanation:

Answer:

x -- 7

Step-by-step explanation:

Mae Ling earns a weekly salary of $345 plus a 7.0% commission on sales at a gift shop. How much would she make in a work week If she stood $4,300 worth of merchandise?

She would make $________​?

Answers

Answer:

She would make $646.00

How many solutions exist for the given equation?
1/2(x+12) = 4x -1
zero
one
two
infinitely many

Answers

Answer:

one answer

x = 2

Step-by-step explanation:

What is the interest rate in A = 12,000(1 + 0.07/4)^(4)(4)

Answers


a=(3•107^16)/(40•400^14)

Last year, Michael opened an investment account with $5400. At the end of the year, the amount in the account had decreased by 23.5%. How much is this
decrease in dollars? How much money was in his account at the end of last year

Answers

He would have $4131 left from $5400 with a decrease with 23.5%

Please help me 15 points it’s worth it please help me on this question

Answers

Answer:

last answer

Step-by-step explanation:

A ladder is leaning against a vertical wall. The distance from the top of
the ladder to the base of the wall is 23 feet. The distance from the base
of the wall to the bottom of the ladder is 5 feet. What is the length of the
ladder (nearest tenth)?

Answers

Answer:

23.5(to the nearest tenth)

Step-by-step explanation:

pythagoras theorem states

c^2= a^2+ b^2

a= 23

b=5

c^2= 529+25

c^2= 554

c= square root of 554

c = 23.5 (approximately)

this took me a lot of time

giving me brainliest will make me happy

Si para introducirun producto al país se pagan $225 por concepto de impuestos y dicho producto cuesta $1,200

Answers

Complete question :

si para introducir un producto al país se pagan $225 por concepto de impuestos y dicho producto cuesta $1,200 ¿que porcentaje se cobra por impuesto?

Responder:

18,75%

Explicación paso a paso:

Dado que:

Monto cobrado por impuestos = $ 225

Costo del producto sujeto a impuestos = $ 1200

El porcentaje del precio de costo del producto que se grava:

Sea porcentaje = x%

x% * precio de coste = importe de impuestos

0.01x * $ 1200 = $ 225

12x = 225

x = 225/12

x = 18,75

Por tanto, porcentaje de impuesto = 18,75%

CAN SOMEONE HELP ME PLEASE

Answers

Answer:

[tex]\frac{\sqrt{189x^3y^6} }{\sqrt{3x} } \\= \frac{\sqrt{3^2(7)(3)(x^2)(x)(y^3)^2} }{\sqrt{3x} } \\=\sqrt{\frac{(3xy^3)^2(7)(3x)}{3x} }\\=3xy^3\sqrt{7}[/tex]

Use I = PRT to solve.
(time is in years)
1 = $312.50
R = 25%
T = 0.25 years
Find P.

Please help :)) for 35 points !

Answers

Answer:

Step-by-step explanation:

I = PRT

PRT = I

P = I/RT

P = 312.50/(.25)(.25)

P = 312.5/.0625

P= $5000

Principal for the given interest, rate of interest and time period is $5000.

Given that, I = $312.50, R = 25% and T = 0.25 years.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

Now, SI=(P × R × T)/100

312.50= (P × 25 × 0.25)/100

⇒ P × 25 × 0.25 = 31250

⇒ P = 31250/6.25

⇒ P = $5000

Therefore, principal for the given interest, rate of interest and time period is $5000.

To learn more about the simple interest visit:

https://brainly.com/question/25845758.

#SPJ2

X+ 6
X+ 3
=
x + 2
x-5
a.
I = x
c.
X= -9
b.
S = x
d. x= -8

Answers

Step-by-step explanation:

x+6/x+2=x+3/x-5 x<>2 and x<>5

(x+6)(x-5)=(x+3)(x+2)

x2-5x+6x-30=x2+2x+3x+6

-5x+6x-30=2x+3x+6

x-30=5x+6

x-5x=6+30

-4x=36

x=-9

Note* x2=x in the power of 2

How do the 6s in 0.96 and 93.601 compare?
The value of the 6 in 0.96 is 100 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 10 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601.
The value of the 6 in 0.96 is 1100 the value of the 6 in 93.601.

Answers

Answer:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.9 compared to the 6 in 93.601 which is in the tenths place.

Step-by-step explanation:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.96 is in the hundredths place, compared to the 6 in 93.601 which is in the tenths place.

Answer:

The value of the 6 in 0.96 is 110 the value of the 6 in 93.601

Step-by-step explanation:

Num projeto, o desenho de um jardim tem a forma de um triângulo retângulo onde a hipotenusa mede 4,5 cm. A escala utilizada foi de 1:200. Qual é o comprimento real desse lado do jardim (hipotenusa)? Apresenta a resposta em metros.

Answers

Answer:

9 metros

Step-by-step explanation:

Da pergunta acima

Fator de escala =

Medida correspondente: Representação do objeto

= 1: 200cm

Conseqüentemente:

1 cm = 200 cm

4,5 cm = x cm

x cm = 4,5 × 200 cm

x cm = 900 cm

O comprimento real deste lado do triângulo (hipotenusa) = 900cm

Pediram-nos para converter para metros

100cm = 1 m

900cm = xm

Multiplicação cruzada

100 cm × xm = 900 cm × 1 m

xm = 900 cm × 1 m / 100cm

xm = 9m

O comprimento real deste lado do triângulo (hipotenusa) em metros = 9 metros

How to change a decimal into a fraction? Specific question: change 1.25 to an exact percent?

Answers

Answer:

125%

Step-by-step explanation:

1.25 x 100% = 125%

25 points and brainliest!! look at picture below.

Answers

Answer:

the volume of the cone is 1,196.92

Step-by-step explanation:

V = 1/3 x 3.14 x r^2 x h

Do Ilboe.org bookmarks
Lesson 2 Review...
< Exit
Topic 5 Assessment
IMPLAYER
Drag each expression to its equivalent expression. Each expression may be used only once.
+ 1
4
1
X +
+1
3
Expression
Equivalent Expression
-
3
4
1
4
+
3
+
3
4
See

Answers

You can do this just believe in your self
It A

Two lines A and B are parallel if both lines are rotated 90° in the same direction and then translated to the right by the same number of units which statement about the lines resulting from these transformations is true

Answers

Answer:

A' and B' will be parallel. (See Explanation)

Step-by-step explanation:

Given

Parallel lines: A and B

Rotation: 90° same direction

Translation: Right (same units)

Required

Describe the result of the transformation

No options were given. So, I will answer on general terms.

From the question, we can see that, the same transformation that was performed on line A was also done on line B.

This means that both lines will maintain the initial relationship between them.

Initially, A and B are parallel.

After the transformation, A' and B' will be parallel.

Answer:They will be the same line

Step-by-step explanation:I did this on my test it’s correct

can someone help me out?
"match each equation with its three solutions"​

Answers

Answer:

Step-by-step explanation:

A. (1)

B. (4)

C. (2)

D. (5)

E. (3)

The value of C has to be Greater than 0.65

Answers

Answer:

1.3

Step-by-step explanation:

1. .65 = .5c ---> .65/.5

2. 1.3 = c

in sandy religious, a doodlebug digs a cone shaped pit to trap other insects. A typical pit has a radius of 1 inch and depth of 2 inches approximately how much sand would a doodle bug move to create the pit?
( PLEASE HELP ASAP)

Answers

Answer:

its c

Step-by-step explanation:

i took the test and got 100

Can someone help me with this answer thank you

Answers

The original cost for the shirt was $105 and the original cost for the shoes was $140. There are only 2 steps. Hope this helps

Answer: bro cmon this is simple m8 but i will still help :D

Step-by-step explanation:35x3=105 and 28x5=140 the outfit couldve been 245 dollars in total!

A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.
A.What’s the difference in height between the pelican and the heron?
B.What’s the distance in height between the pelican.
C.what’s the difference in height between the pelican and the trout.
D.What’s the distance in height between the pelican and the trout.

Answers

Answer:

Step-by-step explanation:

Your answer

A = 73

B= 33

C = 40

D = 40

Mark it as Brainlist answer. Follow me.

Which statement(s) describe parallel lines? Choose ALL that apply.


A. Parallel lines never cross or meet.

B. Parallel lines create a 90 degree angle.

C. Parallel lines intersect.

Answers

Parallel lines never cross or meet

Definetily its A) Parallel linea never cross or meet.


HELLPPP ASAP PLEASEEE!!!

Answers

Answer:

angle G = 64.9 is because the sum of interior angle is 180

Find the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest hundredth, if necessary.

Answers

Step-by-step explanation:

Given

diameter (d) = 9 ft

radius (r) = 9/2 = 4.5 ft

Area of the circle

= πr²

= 3.14 * ( 4.5) ²

= 3.14 * 20.25

= 63.585

= 63.59 ft

Hope it will help :)

Please help giving brainliest

Answers

Answer:

this is a scalene triangle. we can see that none of the side lengths and none of the angles are equivalent to each other. that's why it's scalene.

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