Number 27)

X/6 - x/8 = 5/12

A. R (All real numbers)
B. 0
C. No solution (false statement)
D. {10}
E. {1/10}

Answer: 128 ounces

Step-by-step explanation:

One ounce has a mass of 16 and 16 x 8 is 128

The airplane traveled a total distance of 5530 kilometers in all three trips.

A basic mathematical procedure called summation is adding together a sequence of integers to determine their total or sum.

A fundamental mathematical idea known as the theory of addition or summation is utilised in many practical situations to compute distances, amounts, totals, or sums in disciplines including physics, engineering, economics, and statistics. It is a fundamental mathematical operation that aids in calculating the sum of a group of integers and is frequently applied in many problem-solving contexts.

Given(refer to image):

Trip 1: 2372 km

Trip 2: 1283 km

Trip 3: 1875 km

To calculate the total miles traveled by the airplane, we add the distances traveled on each trip:

2372 + 1283 + 1875 = 5530 km

Hence, total distance of 5530 kilometers was travelled by the airplane in all three trips.

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The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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A) A 747 Airplane is 762 inches tall. 762 inches is equal to 63.5 feet, so the airplane is 63.5 feet tall.

An airplane is a type of aircraft that is heavier than air and propelled by one or more jet engines. It is used for transport across long distances, typically carrying passengers and cargo.

The river raft ride at the amusement park can hold 12 riders at a time. 527 people divided by 12 riders per ride is 44.75. This means the ride will need to run 44 times in order to get all 527 people through the ride.
One school bus can hold 46 students. There are 24 students in each of the 5 fifth grade classes. 24 students times 5 classes is 120 students, so they will need 3 buses in order to transport everyone to the zoo for a field trip.
Write and solve a word problem that requires long division AND has a remainder.
Samantha has 192 lollipops. She wants to evenly divide them into bags of 10. How many bags will she need and how many lollipops will be left over?
192 divided by 10 is 19 with a remainder of 2. Samantha will need 19 bags and will have 2 lollipops left over.

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Where the above relations are given, note that Options A,  D, and E are the relations that represents a function. The others are just relations.

To distinguish a function from a relation, look to see if any of the x values are repeated; if not, the relationship is a function. If some x values are repeated but the accompanying y values differ, we have a relation rather than a function.

Note that where you are given domain and range, only the range is represented on the x-axis.

Some of the x values may be seen repeated in B, and C.

How is this so?

B) In a coordinate system, values are represented as (x, y). so

In relations, B 2 is repeated twice to in connection with -5, and -6. That is:

(2, -5) , (2, -6)

Since two is x, then its repetition nullified the relation as a function.

C) On table indicated on C, it is much easier to identify the x and y values. As is seen, -3 is repeated twice in connection with 4 and 2. Thus, its repetition nullified the relation as a function.

As a result, Options A,  D, and E are the relations that represent a function.

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Answer:

\(\sf V=\dfrac18\: \sf yd^3\)

Step-by-step explanation:

Volume of a cube formula

\(\sf V=s^3\)

where:

Given:

\(\sf \implies V=\left(\dfrac12\right)^3\)

Apply exponent rule \((\frac{a}{b})^c=\dfrac{a^c}{b^c}\)

\(\sf \implies V=\dfrac{1^3}{2^3}\)

\(\sf \implies V=\dfrac18\: \sf yd^3\)

Volume:-

Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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Answer:

Step-by-step explanation:

abcd=540

2(5)9a=540

90a=540

a=540/90

a=6

An expression in expanded form for the decimal that shows more than 0 hundredths is 19.31

The time is given as:

Time = 19.305

The hundredth in the above number is 0

So, to write an expression in expanded form for the decimal that shows more than 0 hundredths;

We simply approximate 19.305

So, we have:

Time = 19.31

Hence, an expression in expanded form for the decimal that shows more than 0 hundredths is 19.31

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The variable t becomes the subject of the equation c=t³ - 8v by adding 8v to both sides and taking the cube root, giving t = ∛(c + 8v).

We need to make t the subject of the equation c=t³ - 8v. To do this, we first add 8v to both sides of the equation to isolate t³ on one side, giving us t³ = c + 8v. We then need to take the cube root of both sides to solve for t. Hence, t = ∛(c + 8v). Now, t is the subject of the equation.

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a) The probability that at least one of the two young adults selected is living in his or her parent’s home is; 0.74.

b) The probability both young adults selected are living on their own is; 0.26

We are given the events as;

M = the event a male young adult is living in his parent’ home

F = the event a female young adult is living in her parent’ home

We are also given that;

Probability that a male young adult is living in his parent’ home; P(M) = 0.56

Probability that a female young adult is living in her parent’ home; P(F) = 0.42

a) The probability that at least one of the two young adults selected is living in his or her parent’ home is;

P(at least one of the two young adults selected is living in his or her parents home) = P(M or F) = P(M) + P(F) - P(M and F)

= 0.56 + 0.42 - 0.24 = 0.74.

B) The probability both young adults selected are living on their own which means neither is living with their parents is;

P(neither living with parents) = 1 - P(M or F)

= 1 - 0.74 = 0.26.

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Answer:

1. 1/6

2. 1/6

Step-by-step explanation:

Let A be the event that the sum of the two die is 6 and B be an event that the green die is either 4 or 1.

The conditional probability will be given by P (A/B) = P (A∩B)/ P (B).

Now the total sample space consists of 36 outcomes .

And to find (A∩B) we need to find the outcomes in which green die is either 4 or 1 and the sum of the two die is 6.

So when green is 1 red must be 5

So when green is 4 red must be 2

So there are two ways in which green die is either 4 or 1 and the sum of the two die is 6.

Therefore the probability of (A∩B)= P (A∩B)= 2/36= 1/18

Now we find the probability of green die having 4 or 1

So when green is 4 red can have all the numbers from 1- 6

And when green is 1 red can have all the numbers from 1- 6

The total number would be 12 .

So probability of green die having 1 or 4 is given by = P (B)= 12/36

Now the conditional probability = P (A/B) = P (A∩B)/ P (B)=1/18/ 1/3

= 3/18= 1/6

2. Similarly we find the conditional probability of the two die when the red one is 6, given that the sum is 11.

When red is 6 the green must be 5 to get 11. So the probability

=P (A∩B)=  1/36

Now we find the probability of red die having 6 =P(B)= 6/36

Now the conditional probability = P (A∩B)/P(B) =  1/36/ 6/36= 1/6

Answer 1:

Conditional probability Formula :

P (A/B) = P (A∩B)/ P (B).

Total sample space=36 outcomes

Conditions are :

The probability of (A∩B)= P (A∩B)= 2/36= 1/18

Now we find the probability of green die having 4 or 1

When green is 4 red can have all the numbers from 1- 6

And when green is 1 red can have all the numbers from 1- 6

Total number = 12

 P (B)= 12/36

Therefore, conditional probability = P (A/B)

The conditional probability of the indicated event when two fair dice  are rolled will be 1/6.

Answer 2:

Condition :

When red is 6 the green must be 5 to get 11.

P (A∩B)=  1/36

The probability of red die having 6 =P(B)= 6/36

The conditional probability= P (A∩B)/P(B)

The conditional probability of the indicated event when two fair dice are 1/6.

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Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

Answer:

Step-by-step explanation:

\( \sf{x + 3x - 36}\)

Here, we have to collect like terms.

_________________________________

▪️What do you mean by like terms ?

⇒Like terms are those which have the same base. While adding or subtracting like terms, we should add or subtract the coefficients of like terms.

_________________________________

Let's add the like terms :

Answer : 4x - 36

Hope I helped!

Best regards!

Answer:

16 flowerpots

Step-by-step explanation:

12 divided by 3/4=16

Answer:

-9 < 3i

Step-by-step explanation:

3i is bigger than -9 because 3i² is equal to -9

i means imaginary number

Hope this helps!

Answer:

Step-by-step explanation:

El índice indica una dependencia total entre las dos variables denominada relación directa: cuando una de ellas aumenta, la otra también lo hace en proporción constante. Si 0 < r < 1, existe una correlación positiva. Si r = 0, no existe relación lineal. ... Si r = -1, existe una correlación negativa perfecta.

I agree with both of your answers.

The correlation is negative because r is negative.

The negative correlation is weak because it is closer to r = 0 than it is to r = -1.

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

The last one:

30(0.5b + 3.75)

Answer:A

Step-by-step explanation:

I used the process of elimination. I did, 125 x .65 to get 81.25. Then, I subtracted 81.25 to 125. To get 43.75.

The original price of the dress was $125.00.

A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred.

Given that the discount = 65%

Sale price = $43.75

Let the original price of the dress is $x.

Now, sale price = x - x * 65% = x - x * 65/100 = (100 - 65)x/100 = 35x/100

We can write

35x/100 = 43.75

i.e. x = (43.75 * 100)/35 = 4375/35 = 125

Therefore, the original price of the dress was $125.00. So, option 1 is correct.

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The domain of function f(x) is given as follows:

{x | 1 ≤ x < 5}.

The values of x of the function given at the end of the answer are as follows:

Hence the domain is given as follows:

{x | 1 ≤ x < 5}.

The function is given by the image presented at the end of the answer.

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Answer:

A - {x | 1 < x < 5}

Step-by-step explanation:

took the Quiz

Using the first two points we can get an exponential model:

\(y = (225/23)*(23/15)^x\)

The general exponential equation can be written as:

\(y = A*(b)^x\)

We can replace any two values of the table to get the system of eqautions:

\(15 = A*(b)\\\\23 = A*(b)^2\)

Taking the quotient between the second and the first equation we get:

\(23/15 = (A*b^2)/(A*b)\\\\23/15 = b\)

Replacing that on the first equation we will get:

\(15 =A*(23/15)\\15*(15/23) = A\\225/23 = A\)

Then an exponential model is:

\(y = (225/23)*(23/15)^x\)

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Answer:

-14=-4m

Step-by-step explanation:

-2m-6=-6m+8

+2m.-8 +2m -8

-14=-4m

÷-4 = -4

7/2=m

m= 7/2

To solve this problem, we have to determine the percentage that 340 represents from 1700. Now, to calculate the percentage that x represents from y, we can use the following expression:

Substituting x=340, and y=1700 in the above expression, we get:

Simplifying the above result, we get:

Answer:

Answer:

5/4

Step-by-step explanation:

Use the slope formula which is y2-y1/x2-x1.

1. Plug the given values into the equation: 3-(-7)/4-(-4)=5/4

Answer: A and B

Step-by-step explanation:

Q isn’t a binomial since the pens are being selected without replacement and the sample size is more than 10% of the population size, so the trails are not independent.

A binomial random variable is such that can take either of two possibilities at the same time.

Samples R and S can be considered as binomial random variables

For a random variable to be considered a binomial random variable, the population must be at least ten times the sample size.

So, we have the following highlights

Container A

\(n =100\)

\(x = 5\)

Divide n by x

\(\frac nx = \frac{100}{5}\)

\(\frac nx = 20\)

This means that the population is 20 times the sample size.

Hence, R is a binomial random variable.

Container B

\(n =1000\)

\(x = 5\)

Divide n by x

\(\frac nx = \frac{1000}{5}\)

\(\frac nx = 200\)

This means that the population is 200 times the sample size.

Hence, S is a binomial random variable.

Container C

\(n =20\)

\(x = 5\)

Divide n by x

\(\frac nx = \frac{20}{5}\)

\(\frac nx = 4\)

This means that the population is 4 times the sample size.

Hence, Q is not a binomial random variable.

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Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

If six loaves lasted seven days, and she is going for 21 days next time, that is three times the amount of days she went on her last camping trip. so you multiply the amount of loaves by 3.