Find the least common denominator of the rational expressions below:
15/2x + 10 and -13/7x + 35

Answers

Answer 1

9514 1404 393

Answer:

  14(x +5)

Step-by-step explanation:

The denominator of the first expression is ...

  2x+10 = 2(x +5)

The denominator of the second expression is ...

  7x +35 = 7(x +5)

The least common denominator (LCD) is the product of the unique factors in these denominators:

  2×7×(x +5)

  = 14(x +5) . . . . least common denominator

  = 14x +70


Related Questions

A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through a door is a failure, then the person will not make any further attempts. Let P denote a successful pass and F denote a failed pass. What is the sample space for this random experiment

Answers

Answer:

Sample space is [tex]\{F,PF,PPF,PPP\}[/tex]

Step-by-step explanation:

Number of security doors = 3

Let P denote a successful pass and F denote a failed pass.

Sample space refers to a set of all possible outcomes.

If the first attempt to pass through a door is a failure, then the outcome is F.

If the second attempt to pass through a door is a failure, then the outcome is PF.

If the third attempt to pass through a door is a failure, then the outcome is PPF.

If the fourth attempt to pass through a door is a failure, then the outcome is PPP.

Sample space is [tex]\{F,PF,PPF,PPP\}[/tex]

Formula for parallelogram law of addition

Answers

Answer:

answers?

Step-by-step explanation:

Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the verbal statement?

The product of 8 and n decreased by 5 is _________________ 25.
less than
greater than
less than or equal to
greater than or equal to

Answers

Answer:

greater than or equal to

Answer:

the above answer is correct, it is greater than or equal to

Step-by-step explanation:

Write an expression that is equivalent to 27e+24

ANSWER FOR 40 POINTS

Answers

Step-by-step explanation:

3(9e+8) is the correct answer of this qn

It would be 3(9e+8)

Hope this helps

Have a great day/night

Show the prime factors for 36.
A) 4x9
B) None of these answers are correct.
C)1 x 36
D)2 x 2 x 3 X3
E)3 x 12

Answers

Answer:

D. 2x2x3x3

Step-by-step explanation:

2x2 is equal to 4

4x3 is equal to 12

12x3 is equal to 36

I’m having trouble trying to answer this question what is 68×70 this app it helps you work it gives you answers it’s not a cheating thing I should have said that

Answers

Answer:

4760.

Step-by-step explanation:

68 x 10: 680

680 x 7: 4760

Answer:

4760

Step-by-step explanation:

y=3x/5-6 in standard form

Answers

Answer:

The standard form is 3x-5y-30=0

y = (3x/5)-6
(3x/5) - y = 6
3x - 5y = 30

Is 2/6 greater than 1/2

Answers

Answer:

1/2 is greater hope it helps

Math nerds help me out

Answers

Answer:

the 3rd one

y= (x-1)(x-6)

Step-by-step explanation:

Answer:

y=(x-1)(x-6)

Step-by-step explanation:

from the factorised form (x-1)(x-6) we can easily derive the roots of 1 and 6

it crosses the x axes on the roots, which happens at 1 and 6 on the graph

PLS HELP

What is the length, in feet, of AD in the isosceles trapezoid ABCD?
15 ft
c
1410
5 ft
A
D
F
Note: Figure is not drawn to scale.
O 3 feet
O 10 feet
O 141 feet
O 21 feet

Answers

Answer:

21 feet

Explanation:

Using pythagorean theorem to find the length of the added length of the bottom.

A^2+B^2=C^2 or 4^2+B^2=5^2 or 16+B^2=25

25-16=9 so B^2 is 9 and the square root of that is 3 so B is 3. Then you add 15+3+3 to get 21.

When the radius of a sphene is doubled what is the resulting change in volume?

Answers

Answer:

3rd power

Step-by-step explanation:

When the radius of the sphere was doubled it doubled 8 times . it raised so much because of the third power.

Glad I could help (Maybe)

Sheila was born in New York. She moved to
California and lived there twice as long as
she lived in New York. Then she moved to
Montana, where she has lived for 8 years.
She is now 62 years old. How long did she
live in New York?

Answers

For this you need to work backward

Step 1:
Subtract the time she lived in Montana for

62-8 = 54

Step 2:
Because she lived in NYC for twice as long as Cali you need to divide by 3

54/3 = 18

Step 3:
Because she lived in NYC you have to double 18

18 x 2 = 36

Step 4:
Answer

She lived in NYC for 36 years

Ples help me
IF its wrong i will report u
ill give you the best if it right and who ever is first.

Answers

Answer:

A, B, and D are equal to 75%

Step-by-step explanation:

Hope it helps!

Answer:

B., A.  and D.

Because they all equal 75%!

Last season Sarah was up to bat 48 times,and got 16 hits.what is the simplified ratio of Sara's hits to Sara's hits to Sara's at-bats

Answers

Answer:

48:16 ---> 3:1

Step-by-step explanation:

48 and 16 can both be divided by 4 which makes it 12:4 but that can still be reduced which would make it 3:1

Four friends are sharing 6 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
write what mixed number you got

Answers

Answer:

1 1/2 cups

Step-by-step explanation:

316.1 -
is about 300. Which decimal, rounded to the nearest whole number, makes the equation true?
O
A. 31.6
B. 15.7
C. 6.1
D.3.16

Answers

Answer:

c

Step-by-step explanation:

Jason planted 11 packs of seed in his 4 gardens. he Planted the same amount of seed in each garden. how many packs of Seed Were planted in each were planted in each garden?

Answers

2.75 packs

Step-by-step explanation:

11 packs ÷4 gardens =2.75 packs per garden

What is the value of the digit 9 in 71.92​

Answers

Answer:

.90

Step-by-step explanation:

?

10
12
15
18
Are my choices​

Answers

Answer:

y=10 x=30

Step-by-step explanation:

3x=90

x=30

2(30)+3y=90

60+3y=90

3y=30

y=10

Answer:

y= 10

Step-by-step explanation:

we have to find x first

∠ABD= 90° because its a right angle

3x°=90°

divide by on both sides

x= 30°

∠CBD must equal 90° degrees as well because a line is 180°

60+3y= 90

-60

3y=30

/3

y= 10

PLS HELP ASAP Ms. Farrell has 36 students in her class. This is 5 more
students than Mr. Carter has.
How many students does Mr. Carter have? Choose the correct equation and
answer.
A. X+36 = 5
x = 41 students
B. x+ 5 = 36
x= 41 students
O C. X+41 = 36
x= 77 students
D. x+ 5 = 36
x= 31 students

Answers

Answer:

its d 31 is 5 less than 36.....

select all the sides lengths that will form a triangle?
A. 14 IN, 5 IN, 9 IN
B. 11 CM, 13, CM, 12 CM
C. 25 MM, 12 MM, 12 MM
D. 10 FT, 24FT, 26 FT
E. 5 YD, 5, YD, 5, YD
F. 18 CM, 46, CM, 26 CM
Thank you! :)

Answers

B

Step-by-step explanation:

11CM, 13CM, 12CM forms a triangle

In a first-aid kit the ratio of large bandages to
small bandages is 5 to 3. Based on this ratio,
how many large bandages are in the kit if there
are a total of 80 bandages?
A. 50
B. 48
C. 16
D. 40

Answers

The answer is A. 50
Hope this helps :)

anyone know which company charges the greatest rate per window?

Answers

Company B costs most per window

Step by step:

company a = 25x + 50

company b = 40x + 15

company c = 35x + 25

Caroline borrowed 300,000 from the bank in order to buy a house. If the simple interest RATE that the bank charged her was 3.5%, and she ended up paying the bank back a total of $615,000 (principal and interest total), how long (in years) did it take her to pay back the loan?

Answers

Answer:

915'000.+123=915,123

Ralph Chase plans to sell a piece of property for ​$150000. He wants the money to be paid off in two ways a - ​short-term note at ​11% interest and a​ long-term note at 8​% interest. Find the amount of each note if the total annual interest paid is ​$15200
.

Answers

Answer:

Amount on 11% note = $106,666.67

Amount on 8% note = $43,333.33

Step-by-step explanation:

Let the amount for the ​short-term note at ​11% interest be x.

Thus, the amount for the ​short-term note at ​8% interest will be (150000 - x)

Now we are told that the total interest paid is $15,200.

Thus;

0.11x + 0.08(150000 - x) = 15200

0.11x + 12000 - 0.08x = 15200

Rearranging gives;

0.03x = 15200 - 12000

0.03x = 3200

x = 3200/0.03

x = $106666.67

Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33

(SAT PREP) FIND THE VALUE OF X PLEASE ASAP AWARDING BRAINLIEST!!

Answers

Answer:

116

Step-by-step explanation:

x=180-(25+39+15)=116degrees

Answer:

116 is the correct answer to this question

Yin min owns A small store the first month store was open she made 1375 in profit during the next month she advertising local newspaper and saw a 60% increase in profit how much profit did she make the second month?

Answers

Hey there! As far as I understand the problem, she made $2,200 in profit. Take 1,375 and multiply it by 1.6.

Find c. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

A = 150°

B = 12°

C = 180 - (150 + 12) = 18°

b = 10 cm

Apply the sine rule:

[tex] \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]

Plug in the values

[tex] \frac{10}{sin(12)} = \frac{c}{sin(18)} [/tex]

Multiply both sides by sin(18)

[tex] \frac{10}{sin(12)}*sin(18) = \frac{c}{sin(18)}*sin(18) [/tex]

[tex] \frac{10*sin(18)}{sin(12)} = c [/tex]

c = 14.9 cm (nearest tenth)

Help plz I don’t know the answer!!

Answers

Answer:201 11/21

Step-by-step explanation:

The number 4232 is called the numerator or dividend, and the number 21 is called the denominator or divisor.

The quotient of 4232 and 21, the ratio of 4232 and 21, as well as the fraction of 4232 and 21 all mean (almost) the same:

4232 divided by 21, often written as 4232/21.

Read on to find the result of 4232 divided by 21 in decimal notation, along with its properties.We provide you with the result of the division 4232 by 21 straightaway:

4232 divided by 21 = 201.523809

The result of 4232/21 is a non-terminating, repeating decimal. The repeating pattern above, 523809, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 4232/21 = 201.(523809): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 4232 / 21 = 201.523809… .

4232 divided by 21 in decimal = 201.523809

4232 divided by 21 in fraction = 4232/21

4232 divided by 21 in percentage = 20152.38095238%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 4232 and 21, of course. Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 4232, and the denominator, e.g. 21, have been inserted. No need to press the button, unless you want to start over.

Elijah invested $280 in an account paying an interest rate of 2.1% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $360?

Answers

Answer: 12

Step-by-step explanation:

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