Rational equations intro (Khan Academy)

Rational Equations Intro (Khan Academy)

Answers

Answer 1

Answer:

y = 17/7

Step-by-step explanation:


Related Questions

5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.

Answers

Answer:

99 / 324,870 or 3%

Step-by-step explanation:

there are 12 face cards out of a total of 52 cards

probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]

The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Calculation of the probability:

Since 5 cards are drawn at random from a standard deck

Also, we know that

there are 12 face cards out of a total of 52 cards

So here the probability be like

[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]

= [tex]99 / 324,870[/tex]

Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Learn more about probability here: https://brainly.com/question/21102470

PLEASE HELP ME!!! Find the area of the shaded region.

Answers

36

The answer is 36 because you have one side of the shaded region telling us it’s 9cm and there are 4 shaded sides so there for 9 x 4= 36. Hope this helps!

Pls help I’m failing math I’ll brainlest

Answers

Answer:

z=-9 - 5.4

hope it helps

Step-by-step explanation:

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Please help I’ll mark you as brainliest if correct

Answers

Answer:

72 cm³ (see below)

Step-by-step explanation:

First, refer to the volume formula:

V = l · w · h

If you plug in all of your values and simplify, you'll get the volume:

l = 6 cm

w = 3 cm

h = 4 cm

V = (6) (3) (4)

V = 18 (4)

V = 72 cm³

Because this is volume, the measurements are units cubed, meaning it's cm³.

Like he said 72cm3. Hope you get it right

3. Without doing any calculations, compare Expression A to Expression B.
A. (34+25)=14
B. 34+25
Which statement is true?
CA. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A. -Yes
CC.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each othe
7 long roms of plants

Answers

The answer to the question is CC

zearn.org
MIL
Fraction Problem Solving
Sign out
Hector read of a book in the morning, and he read some more at night. By the end of the day.
he still had of the book left to read. How much of the book did Hector read at night? -)
Solve on paper. Then check your work on Zearn.
1 book
Morning
Left
Night
4
2 / 3
?
Hector read
of the book at night.
Enter ✓

Answers

Hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

A publisher reports that 54% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 220 found that 50% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.

Answers

Answer and explanation:

Null hypothesis: p is not 54%

Alternative hypothesis : p is equal 54%

First find standard deviation

Standard deviation is:

σ = √[ P ( 1 - P ) / n ] = √[ 0.54×0.46/220 ] =0.033

The z score is calculated p-P/σ = (0.54-0.50)/0.033 = 1.2121

Therefore we can conclude that proportions are not same and fail to reject the null hypothesis

I really need help on this question

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Answer:

[tex]r = 107 \\ q + s = 180 - 107 \\ = 73 \\ q = 73 \div 2 \\ = 36.5[/tex]

the sum of 17 and 3 times x

Answers

Answer:

20x?

Step-by-step explanation:

Answer:

it will = 17+3x. hope it helps

Given that line AD ll to line EH, find the measure of

Answers

Answer:

x=7.5

Step-by-step explanation:

Since AD II EH, ∠CBD=∠BFH (alternate angles)

2x+60=10x

8x=60

x=7.5

Answer:

x = 7.5

each angle measures 75°

Step-by-step explanation:

the two angles are corresponding, meaning they are equal

10x = 2x + 60

8x = 60

x = 7.5

What number is 120% of 16?

Answers

Answer:19.2

Step-by-step explanation:

4(x+4) + 2x = 52 need answer

Answers

Answer:

x=6

Step-by-step explanation:

Pls help will give brainlest to first person who answer correct 50 points

Answers

Answer:

-25/3

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

x = - 25/3

Step-by-step explanation:

10/3 = x/(-5/2)x = 10/3*(-5/2)x = - 25/3

Gabe​ Amodeo, a nuclear​ physicist, needs 90 liters of a ​50% acid solution. He currently has a 30% solution and a 60% solution. How many liters of each does he need to make the needed 90 liters of ​50% acid​ solution?

Answers

Answer:

You need two equations: one for solution amounts and one for alcohol amounts.

Step-by-step explanation:

90 = X + Y

45 = (0.6)/X + (0.3)Y

Here X = amount of 60 % solution and Y = amount of 30 percent solution. Note that percentages have been converted to decimal amounts in the second equation.

From here you have to solve two equations with two unknowns. Easiest to solve first equation for X = 90 - Y, then substitute into second equation. this get you one equation in one unknown. Solving you you will get

X = 30 liters and Y = 60 liters.

Your gym membership costs $25 per month after an initial membership fee. You paid a total of $215 after 7 months. Find the total cost after
12 months.
Answer: Total cost after 12 months is $

Answers

Answer:

$340

Step-by-step explanation:

$215 after 7 months including initial membership fee

$25 per month

A year has 12 months, so it's 5 months more than 7 months.

You need to find the price of 5 months and add to the price of the first 7 months that already includes the initial membership fee.

$25/month * 5 months = $125

The extra 5 months cost $125.

$215 + $125 = $340

Answer: $340

9-3 divided by 1/3 + 1

Answers

Answer:

1

Step-by-step explanation:

help plz will give brainlyest

Answers

Answer:

A. Cendric is correct because he used the inverse of subtraction and added 4.5

Step-by-step explanation:

To solve for x, all we needed to do was to make x stand alone. To do this, we have to apply addition property of equality. This means we would add 4.5 to both sides for the equation to balance. Thus, we would have z standing alone which equals 3.

Therefore, Cendric was correct because he used the inverse of subtraction of -4.5, which is 4.5 that was later added to both sides of the equation.

Tori earned $62.86 as a bonus from her job. She decided to buy as many CDs as possible since they were on sale for $8.80 each. Estimate how many CDs Tori can buy.

Answers

Answer:

approximately 7 CDs for her bonus

Answer:

Toris can buy about 7 CDs

Step-by-step explanation:

63 Divided by 9 = 7

Is the expression 3(x+1 1/2)-3 equivalent to 3x+ 1 1/2

Answers

Answer:

Yes

Step-by-step explanation:

3(x+5.50)-3

3x+16.50)-3

-3(3x+16.50)

(Click the Picture for my question) and thank you!

Answers

The answer should be C

Answer:

D

Step-by-step explanation:

By definition, π is defined to be the ratio of a circle's circumference to its diameter. In other words:

[tex]\displaystyle \pi=\frac{C}{d}[/tex]

In fact, if you multiply both sides by the diameter d, you can see that:

[tex]C=\pi d[/tex]

Which is the formula for circumference you've been commonly taught.

10 MINUTES UNTIL I HAVE TO TURN TEST IN
HELP PLS :)

Answers

Answer:

10) Total Discount = $15 dollars; New Amount = $60 dollars.

11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.

12a) Percent Increase from $100 to $150: 50% increase.

12b) Percent Decrease from $150 to $100: 33.33% decrease.

Step-by-step explanation:

I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)

how many 1/2 kg packets of salt can you obtain from 18 kg of salt​

Answers

Answer:

36

Step-by-step explanation:

18 × 2 = 36

Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg

A diet claims to help lose weight. A dietician wants to see if a particular diet helps lose weight. 120 people were on the diet for 6 months. After 6 months, the sample mean of weight loss was 0.8 pound with sample SD of 2 pounds. The distribution is more or less normal. What kind of hypothesis testing do we use

Answers

Answer:

d. t-test for means

Step-by-step explanation:

Options are "a. z-test for proportions, b. z-test for means, c. none of the other three answers, d. t-test for means"

Sample size = n = 120

Sample mean = x = 0.8

Sample standard deviation = s = 2

Claim: A particular diet helps loss weight.

Hypothesis test

The null and alternative hypothesis is

H0 : μ = 0

Ha : μ < 0

Now, when population standard deviation is unknown we use t-test otherwise use z-test. So, the kind of hypothesis testing that we use is t-test for means.

را آزرا
What is the value of x in the proportion?

Answers

Answer:

Step-by-step explanation:

Cross multiply on both sides

= (x + 1) (21) = 15(x + 3)

= 21x + 21 = 15x + 45

Bringing like terms on one side

21x - 15x = 45 - 21

= 6x = 24

x = 24/6 = 4

Option A is the correct answer

The correct option :

[tex] =\tt (a) \: 4[/tex]

Steps to derive correct option :

[tex] = \frac{x + 1}{x + 3} = \frac{15}{21} [/tex]

[tex] =( x + 1 )\times 21 = (x + 3 )\times 15[/tex]

[tex] = 21x + 21 = 15x + 45[/tex]

[tex] = 21x + 21 - 15x = 45[/tex]

[tex] = 6x + 21 = 45[/tex]

[tex] = 6x = 45 - 21[/tex]

[tex] = 6x = 24[/tex]

[tex] = x = \frac{24}{6} [/tex]

[tex] =\color{plum} \bold{x = 4}[/tex]

Let us now place 4 in the place of x and see if the substitution is equivalent to [tex] \frac{15}{21} [/tex] :

[tex] = \frac{4 + 1}{4 + 3} = \frac{15}{21} [/tex]

[tex] = \frac{5}{7} = \frac{15}{21} [/tex]

[tex] = \frac{5}{7} = \frac{15÷3}{21÷3} [/tex]

[tex] = \frac{5}{7} = \frac{5}{7} [/tex]

Therefore, the value of x in this proportion = 4

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Answers

UmmmmAnswer:

Step-by-step explanation:

In a random survey of 300 people about the kind of apples they preferred, 178 said they preferred red apples. Based on these results, how many people out of 4500 would say they prefer red apples?
A.1830
B.2670
C.3084
D.4322

Answers

Answer:

2670

Step-by-step explanation:

4500/300 = 15

178*15=2670

If mQOS = 46, and mPOR = 61
and mPOQ = 28, what is mROS?

Answers

Answer:

ROS = 225°

Step-by-step explanation:

The four corners of the squares add up to 360°

Hope it helps you

Angles at a point add up to [tex]360^o[/tex]. The measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]

Given that:

[tex]m\angle QOS = 46^o[/tex]

[tex]m\angle POR = 61^o[/tex]

[tex]m\angle POQ = 28^o[/tex]

The 4 angles (i.e. QOS, POR, POQ and ROS) are all angles at a point (i.e. point O).

This means that we can apply the angle at a point theorem.

The theorem is represented as:

[tex]m\angle QOS +m\angle POR +m\angle POQ + m\angle ROS = 360^o[/tex] --- i.e. angles at a point add up to [tex]360^o[/tex]

So, we have:

[tex]46^o + 61^o + 28^o + m\angle ROS = 360^o[/tex]

[tex]135^o + m\angle ROS = 360^o[/tex]

Collect like terms

[tex]m\angle ROS = 360^o -135^o[/tex]

[tex]m\angle ROS = 225^o[/tex]

Hence, the measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]

Learn more about angles at:

https://brainly.com/question/15767203

Proportionally means
2 fractions (ratios) are NOT equal


2 fractions (ratios) are equal

Answers

Answer:

2 fractions are equal

Step-by-step explanation:

We say that two quantities are proportional if one is always the same multiple of the other.

Say a recipe calls for 2 cups of flour to 3 eggs. That proportion, 2 cups flour : 3 eggs, will always stay the same, no matter how many serving we make. If we make 2 servings, we'd double to 4 cups and 6 eggs, but that wouldn't change the proportion. After all,

[tex]\frac{2}{3}=\frac{4}{6}[/tex]

Which relation is a function?


{(1, −1), (−2, 2), (−1, 2), (1, −2)}

{(1, 2), (2, 3), (3, 2), (2, 1)}​

{(1, 4), (2, 3), (3, 2), (4, 1)}

{(4, 2), (3, 3), (2, 4), (3, 2)}

Answers

Answer:

c

Step-by-step explanation:

because all the x values in c are different

the answer is c because it’s the only option with all differing x values

Which fraction is equal to 35%?
O A.
100
350
O B.
100
35
C.
3.5
100
D.
35
100

Answers

Answer: D 35/100

Step-by-step explanation: if you divide 35/100, the answer would be .35, which is the decimal form of 35%.

The answer is d I think
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