Rational equations intro (Khan Academy)

Rational Equations Intro (Khan Academy)

Answers

Answer 1

Answer:

y = 17/7

Step-by-step explanation:


Related Questions

70%of it is 14 min find the valy ofx

Answers

Note:

Your questions sound a little unclear.

But, I am assuming your questions as:

''70% of x is 14 min. Find the value of x''.

So, I will solve assuming this statement which anyways would clear your concept.

Answer:

The value of x = 20.

Step-by-step explanation:

Given

''70% of x is 14 min. Find the value of x''.

Thus,

70% of x = 14

70/100 × x = 14

0.7x = 14

divide both sides by 0.7

0.7x/0.7 = 14/0.7

x = 20

Therefore, we conclude that the value of x = 20.

Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows: y x 0 1 2 3 0 0.13 0.10 0.07 0.03 1 0.12 0.16 0.08 0.04 2 0.02 0.06 0.08 0.04 3 0.01 0.02 0.02 0.02 Find the marginal probability mass function of X. Round the answers to two decimal places. pX(0) pX(1) pX(2) pX(3)

Answers

Answer:

[tex]\begin\\\begin{tabular}{|l|l|l|l|l|l|}x&0&1&2&4&Sum\\P(x)&0.33&0.40&0.20&0.07&1.00\end[/tex]

Step-by-step explanation:

From the question we are given the table

[tex]\begin\\\begin{tabular}{|l|l|l|l|l|} &&y \\x &0&1&2&3\\0 &0.13&0.1&0.07&0.03 \\1&0.12&0.16&0.08&0.04\\ 2&0.02&0.06&0.08&0.04\\ 3&0.01&0.02&0.02&0.02\end[/tex]

Generally the marginal probability mass function of X is mathematically given as

[tex]P(x)=\sum P(x,y)>y[/tex]

[tex]\sum P(0)=0.13+0.1+0.07+0.03=0.33\\\sum P(1)=0.12+0.16+0.08+0.04=0.40\\\sum P(2)=0.02+0.06+0.08+0.04=0.20\\\sum P(3)=0.01+0.02+0.02+0.02=0.07[/tex]

Therefore marginal probability mass function of X

[tex]\begin\\\begin{tabular}{|l|l|l|l|l|l|}x&0&1&2&4&Sum\\P(x)&0.33&0.40&0.20&0.07&1.00\end[/tex]

there are 15 finalist in a singing competition. the top five singers receive prizes. how many ways can the singer finish first through fifth

Answers

Answer:

The singers can finish first through fifth in 360360 ways.

Step-by-step explanation:

The order of the singers is important, because they are ranked by positions. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

Top five singers, from 15 finalists. So

[tex]P_{(15,5)} = \frac{15!}{(15-5)!} = 360360[/tex]

The singers can finish first through fifth in 360360 ways.

Given n (x) = 8 [x]+2x+9, answer the following:
Find n(-x).


Answers

Answer:

x=-1

Step-by-step explanation:

Which of the following types of statement cannot be used to explain the
steps of a proof? Check all that apply.
A. Conjecture
B. Guess
OC. Postulate
0 D. Theorem

Answers

Answer:

A. Conjecture

B. Guess

Steps of a proof cannot be explained using A. conjecture and B. guess.

What is Conjecture?

Conjectures in mathematics is a term which is given to the situation where something is guessed without any proof or basics.

This may be true, but are not proved up to this day.

Theorems are something which are already proved. This can be used in figuring out the proof of any problems.

Similarly, postulates are something which are the special cases of a certain proof. These can also be used to prove anything in mathemetics.

But guess and conjectures are not already proved statements. So these cannot be used.

Hence the options are Guess and Conjectures.

Learn more about Conjectures here :

https://brainly.com/question/24881803

#SPJ7

a bucket was 2/5 filled with water. a farmer then fills the bucket with another 4/10 more water. what fraction of the bucket is now full?

Answers

Answer:

8/10

Step-by-step explanation:

Simplify the following expression.
10
63
=
O A 18
OB.
1
216
О С.
1
18
1
OD.
216

Answers

Answer:

E X P L A N A T I O N, 3290R + Y = HIFEUDSGRF344TRG

Step-by-step explanation:

B.

What is the final price of a $5000 item with a 44% markup?

Answers

Answer:

$7200

Step-by-step explanation:

5000 increase 44% =

5000 × (1 + 44%) = 5000 × (1 + 0.44) = 7200

The area of a triangular church window is 90 square meters. The base of the window is 15 meters. What is the window’s height?

Answers

Answer:

12 is the answer

Step-by-step explanation:

5(3x + 4) + 2x



3(4x-7)-5x


Simplify the expression by distributing and combining like
terms.

Answers

Answer:

1. x= - 20/13

2. 7x-21

Step-by-step explanation:

what happens when you add two even numbers

Answers

Answer:

You get an even number

Step-by-step explanation:

2 + 2= 4

4 + 4= 8

6 + 6= 12

8 + 8 = 16

10 + 10 = 20

etc.

find the area of this parallelogram

13cmx20cm
answer
260​

Answers

Answer:

Area = 260 cm²

Step-by-step explanation:

Area of parallelogram = base × height

Base = 20 cm

Height = 13 cm

Plug in the values

Area of parallelogram = 20 × 13

Area = 260 cm²

5 (2x+1) +4 (x+1)=12(x+2)​

Answers

Answer:

x=–/-4

Step-by-step explanation:

Let's solve your equation step-by-step.

5(2)(1)+4(x+1)=x+2

Step 1: Simplify both sides of the equation.

5(2)(1)+4(x+1)=x+2

5(2)(1)+(4)(x)+(4)(1)=x+2(Distribute)

10+4x+4=x+2

(4x)+(10+4)=x+2(Combine Like Terms)

4x+14=x+2

4x+14=x+2

Step 2: Subtract x from both sides.

4x+14−x=x+2−x

3x+14=2

Step 3: Subtract 14 from both sides.

3x+14−14=2−14

3x=−12

Step 4: Divide both sides by 3.

3x

3

=

−12

3

x=−4

Answer:

x=−4

7)
Which of the following points would fall on the line produced by the point-slope form equation y - 6 = 7(x + 4) when graphed?


(2, 20)


(-3, 13)


(0, -34)


(-1, 28)

Answers

Answer:

b (-3,13)

Step-by-step explanation:

simplify the equation into slope intercept form (y=mx+b) and then graph it

which expressions are equivalent to 4m+12. Chose all that apply

Answers

Answer:

✔️4(m + 3)

✔️6m - 2m + 12

Step-by-step explanation:

✔️4(m + 3)

4*m +4*3 (distributive property

4m + 12

Therefore, 4(m + 3) = 4m + 12

✔️6m - 2m + 12

4m + 12

Therefore, 6m - 2m + 12 = 4m + 12

✔️3m - m + 12

2m + 12

Therefore, 3m - m + 12 ≠ 4m + 12

✔️4(m + 12)

4*m + 4*12

4m + 48

Therefore, 4(m + 12) ≠ 4m + 12

A store advertises a sale that all items are
marked down 30% or more. A life jacket is
marked down from $68 to a sale price of
$44.20. Is the advertisement true? Explain
why or why not.

Answers

Step-by-step explanation:

true. 30% of 68 is 20.40 if it was 30 percent off it would be 47.60 and it's is 3.40 more off so it is true that it is 30% or more

The radius of a circle is 11 ft. Find the circumference of the circle.

34.54 ft

69.08 ft

17.27 ft

25.14 ft

Answers

Answer:

69.12 ft

Step-by-step explanation:

The formula for circumference of a circle is 2πr

= 2 × 3.142× 11

= 69.12

Hence the circumference of the circle is 69.12 ft

sun of the fraction 1/6 + 1/3 =

Answers

Answer:

.5 or 1/2

Step-by-step explanation:

so make the bottoms equal

to do this multiply 1/3 by 2

then it’s 2/6

then both bottoms are equal

then add the tops

your answer is

3/6

then simplify

so now your answer is 1/2

Write a verbal description of the set {3,6,9}

Answers

Answer:

They are each a consecutive multiple of 3 and the highest number is the sum of the two lower numbers.

The higher number is also a square product of the lower number/

Step-by-step explanation:

3, 6. 9

3 = 3 x 1

6 = 3 x 2

9 = 3 x 3

and

3+ 6 = 9

and

3^2 = 9

When glass contains 8 oz how many full glasses are in 78 oz​

Answers

9.75 glasses or about 10 glasses

The solution to n + 4n – 3n = 16 is _____. 16 2 -2 8

Answers

Answer:

it is 8 i had the same question

Step-by-step explanation:

Answer:

answer is 8

Step-by-step explanation:

Perform the indicated operation.

Answers

Answer:

c

Step-by-step explanation:

12x21/6 pls help ...........................................................

Answers

Answer:

42

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Marist scholars ate a total of 16 bananas for snack. If the 34 kids in Bing-BU each ate a half of a banana for snack, which class ate more total bananas

Answers

Answer:

well 34/2= 17 so the kids in Bing-BU ate more total bananas

Step-by-step explanation:

How many different 3-digit numbers can be made using each of these digits shown below only once?
3,6,9
OA 3
O B. 6
Oc. 8
OD 10
O E more than 12

Answers

E cause you can miss match number and make more than 12

PLS HELP ASAP y = -3x + 1
y = x -7​

Answers

Answer:

x=-1/3

x=7

Step-by-step explanation:

Not sure if this correct tho

Answer:

x=2

y=-5

Step-by-step explanation:

substitute y=-3x+1 in y=x-7

[tex]-3x+1=x-7[/tex]

[tex]-3x-x=-7-1[/tex]

[tex]-4x=-8\\x=2[/tex]

Substitute x=2 in any one of the given equations

y=x-7=2-7=-5

One batch of cookies makes 18. How many
batches will you need to make to be sure you
have at least 100

Answers

Answer:

6

Step-by-step explanation:

100/18=5 1/2

18*6=108

Answer : 18x5=90 18x6=108

Step-by-step explanation:

A scientists Used 786 milliliters of liquid for an experiment. How many liters of the liquid did the scientists use for this experiment?

Answers

Answer:

0.786 L

1000 ml to 1 L

(786 ml) / (1000 ml) = 0.786 L

Step-by-step explanation:

There were 10 bunches of roses and tulips. Each bunch had 5 of the same flowers. There were 2 more bunches of tulips than roses. How many tulips were there?

Answers

Answer:

I think the answer is 12 (sorry if i misunderstood the question)

Step-by-step explanation:

Because if there are 10 things of roses and tulips and then 2 more tulips are added in the question in total thats 12.... 10+2=12

You deposited $125 in a savings account that earns a simple interest rate of
1.75% per year. You earned a total of $8.75 in interest. For how long was your
money in the account?​

Answers

9514 1404 393

Answer:

  4 years

Step-by-step explanation:

Each year, the interest earned is ...

  0.0175 · $125 = $2.1875

Then the time it took to earn $8.75 in interest was ...

  $8.75/(2.1875/year) = 4 years

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