I will give brainliest to the correct answer!

Since Marcus looked at the clock shown above and said, 1/4 of an hour has passed. Sierra said 3/12 of an hour has passed. Ali said 15/60 of an hour has passed. They're equivalent and the teacher is right that they're all correct.

It should be noted that from the information, Marcus looked at the clock shown above and said, 1/4 of an hour has passed. Sierra said 3/12 of an hour has passed. Ali said 15/60 of an hour has passed.

In this case, their teacher said that they were all correct.

This means that:

1/4 = 3/12 = 15/60

It should be noted that they are all equivalent fractions. This implies that they are equal.

Therefore, the teacher is correct.

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Answer:

2/9

Step-by-step explanation:

senior girls/girls = 4/18 = 2/9

Answer:

2/9

Step-by-step explanation:

Answer:

The Cubic Polynomial given here is

x³ - x² - x -3 =0

Rational root theorem :

Consider any polynomial

\(→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0\)

So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.

Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .

Answer:

-3, -1 , 1, 3

Step-by-step explanation:

Constant factors: 1, -1, 3, -3

Coefficient factors: 1, -1

Answer:

0.4

Step-by-step explanation:

consider this like some lines overlapping each other.

one line (A) is 0.5 long, the other (B) 0.4 long.

together they are 0.8 long.

that means that they overlap at a length of 0.1 (they share a segment 0.1 long).

of the combined line of 0.8 that has 0.1 of a joined segment, the complimentary part of B is therefore 0.4 (0.8 minus the original length of B).

Answer:

Solve the equation so it is in the y=mx+b form.

Step 1. 6x+9y = 216

Step 2. 9y = -6x+216

Step 3. y = -6/9x+24

Step 4. Simplify/Reduce to get y = -2/3x+24

Since it is Parallel then the slope is the same so the slope is -2/3x.

The slope of line parallel to line with equation → 6x + 9y = 216 is

m = -2/3.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Given is a line which is parallel to a line whose equation is 6x + 9y = 216.

We know that the general equation of straight line is -

y = mx + c             ... Eq [ 1 ]

where 'm' represents the slope of the line.

The equation of line given -

6x + 9y = 216.

Rearranging it -

9y = - 6x + 216

y = (-6/9)x + (216/9)

y = (-2/3)x + 24              ... Eq [ 2 ]

Comparing Eq[2] with Eq[1], we get -

m = -2/3

Therefore, the slope of the line with equation → 6x + 9y = 216 is -2/3.

Two parallel lines have same slope. Hence, the slope of line parallel to

line with equation → 6x + 9y = 216 is -2/3

Therefore, the slope of line parallel to line with equation →

6x + 9y = 216 is -2/3.

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Answer:

Step-by-step explanation:

Initial value of house is $478000

Change in value is 8% greater:

We need 8% of Value

\(\\ \sf\longmapsto 8\%\:of\;478000\)

\(\\ \sf\longmapsto 0.08(478000)\)

\(\\ \sf\longmapsto 38240\$\)

Current value:-

\(\\ \sf\longmapsto 478000+38240=516240\)

The schedule for the number of hours worked by employees at Waterloo Park is represented by the functions b(x), t(x), r(x), and s(x) for Bill, Ted, Rufus, and Socrates, respectively, on a given day x.

In the schedule, the function b(x) represents the number of hours worked by Bill on a given day x. Similarly, the function t(x) represents the number of hours worked by Ted, the function r(x) represents the number of hours worked by Rufus, and the function s(x) represents the number of hours worked by Socrates on the same given day x.

By using these functions, you can determine the specific number of hours each employee worked on any given day. For example, if you have a value for x, you can substitute it into the functions to find the corresponding number of hours worked by each employee.

It's important to note that the functions b(x), t(x), r(x), and s(x) are specific to Waterloo Park and the employees mentioned. The given schedule provides a way to track the hours worked by each employee on different days. By utilizing these functions, you can analyze and calculate the hours worked by each employee effectively.

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A Chinese company employs 350 workers at a cost of $2.3 million

Where Total cost = $2.3 million

Number of workers = 350

The average pay made by each Chinese worker per year on a average is

The amount made by each Chinese worker per year on a average is $6571.43 (two decimal places)

Answer:

A

Step-by-step explanation:

The steps for proof by mathematical induction that P(n) is true for all positive integers n, All options are true.

The steps for a proof by mathematical induction that P(n) is true for all positive integers n are as follows:

a. Verify that P(1) is true.

b. Demonstrate that the conditional statement Plk) implies Plk+1) is true for all positive integers k.

c. Verify that P(1), P(2), P(3), ..., P(k) is all true, where k is a specific large, positive integer.

d. Demonstrate that if P(k) is false, then Plk+1) is false for all positive integers k.

e. Demonstrate that P(k+1) implies Plk) is true for all integers k.

Therefore, option (a), option (b), option (c), option (d), and option (e) are the steps for proof by mathematical induction that P(n) is true for all positive integers n.

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The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

4x - 5y + 4z = 19

x + 5y - z = -20

5x + 3z = -1

-x - 5y - 5z = 2

x + 5y - z = -20

-6z = -18

z = 3

5x + 3(3) = -1

5x + 9 = -1

5x = -10

x = -2

-2 + 5y - 3 = -20

5y - 5 = -20

5y = -15

y = -3

x - 2, y = -3, z = 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-x - 5y - 5z = 2

x + 5y - z = -20

-6z = -18

z = 3

4x - 5y + 12 = 19

x + 5y - 3 = -20

4x - 5y = 7

x + 5y = -17

5x = -10

x = -2

2 - 5y - 15 = 2

-5y - 13 = 2

-5y = 15

y = -3

{x = -2, y = -3, z = 3}

Justin must drive at least 67.2 miles per hour (rounded to one decimal place) to average 64 miles per hour for the whole trip, including the 15-minute stop

To average 64 miles per hour for the whole trip, Justin must complete the 144-mile distance and the 15-minute stop in a total of 144 minutes (2 hours and 24 minutes) or less.

If we subtract the 15 minutes stop from the total time, Justin will have to cover the 144 miles in 129 minutes (2 hours and 9 minutes) or less.

To determine the required speed, we can use the formula:

\(speed = \frac{distance }{time}\)

So,  \(speed = \frac{144 miles}{129 minutes}=1.12 miles per minute\)

To convert this to miles per hour, we can multiply by 60:

1.12 miles per minute x 60 minutes per hour = 67.2 miles per hour

Therefore, Justin must drive at least 67.2 miles per hour (rounded to one decimal place) to average 64 miles per hour for the whole trip, including the 15-minute stop.

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Answer:

B

Step-by-step explanation:

\(Tan \ A = \dfrac{Opposit \ side \ A}{Adjacent \ side \ of \ A}\\\\Tan \ A = \dfrac{16}{12}=\dfrac{4}{3}\)

Answer:

what is the question

Step-by-step explanation:

.......

Answer:

x=0

Step-by-step explanation:

8(4x-4)=-5x-32

32x-32=-5x-32

37x=0

x=0

The amount of wrapping paper that is required is; c. 202 sq. in.

The formula for the surface area of a rectangular cuboid is given as:

SA = 2(lw + lh + hw)

where;

l = length

h = height

w = width

We are given;

Length; l = 3 in.

Width; w = 7 in.

Height; h = 8 in.

Thus, surface area is;

SA = 2((3*7) + (3*8) + (8*7))

SA = 2(21 + 24 + 56)

SA = 2(101)

SA = 202 sq. in

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Answer:

26+3+13

Step-by-step explanation:

lol lol lol ganito 26

+ 3

+13

The linear function is a function that has a straight line when plotted on a

graph.

The given data can be presented as follows;

x/y -8/22 0/1 8/22 16/102

x/y -8/-7 0/1 8/9 8/2

x/y -8/-7 0/0 8/7 16/14

x/y -8/-7 0/1 8/5 16/4

In a tabular form, we have;

\(\begin{tabular}{|c|c|}x&y\\-8&22\\0&1\\8&22\\16&102\end{array}\right]\)  \(\begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&9\\8&2\end{array}\right]\)  \(\begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right]\)  \(\begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&5\\16&4\end{array}\right]\)

In a linear function, when the x-values have a constant rate of increase the

first difference in the y-values is constant.

The option that have constant first difference along with a constant rate of

increase in the x-value is the option with the following table;

\(\begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right]\), which is the option x/y -8/-7 0/0 8/7 16/14

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Answer:

The correct option is

x/y  -8/-7  0/0  8/7  16/14

22=4 square root 2

Step-by-step explanation:

Using Pythagorean Theory

Answer:

Logan's solution and reasoning for solving an equation are shown below:

Given

Step 1: x-10-50 Reason 1: Given

Step 2

x-10+10=50+10 Reason 2 Addition Property of Equality

Step 3

60

Reason 3 Simplity

Step 4:

<= 60

Reason 4: Division Property of Equality

Step 5.

x = 40

Reason 5: Simplity

Choose which reason is incorrect.

O Reason 2

O Reason 3

O Reason 4

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

since, it is a parallelogram we can find the area easily just by multiplying the base and height

A=bh

A=55m2

The real rate of return, adjusted for inflation, is approximately -30.77%, and Sally should be willing to pay a price of approximately $44.44 today for the stock.

To calculate the real rate of return, we need to adjust for inflation and consider the change in stock price and dividend.

First, let's calculate the nominal rate of return using the formula:

Nominal rate of return = (Dividend + (Ending Stock Price - Initial Stock Price)) / Initial Stock Price

Dividend = $3 per share

Ending Stock Price = $50 per share

Initial Stock Price = $80 per share

Nominal rate of return = (3 + (50 - 80)) / 80 = -0.375

Next, let's adjust for inflation using the formula:

Real rate of return = (1 + Nominal rate of return) / (1 + Inflation rate) - 1

Inflation rate = 6%

Real rate of return = (1 - 0.375) / (1 + 0.06) - 1 ≈ -0.3077

Therefore, the real rate of return, adjusted for inflation, is approximately -30.77%.

Moving on to the second question, to calculate the price Sally should be willing to pay today, we need to consider the risk premium and the interest rate.

The risk premium for the S&P 500 index is 6% per annum, and the interest rate for risk-free Treasury securities is 3.0%.

Using the Capital Asset Pricing Model (CAPM), we can calculate the expected return:

Expected Return = Risk-free rate + Beta * Risk premium

Since the stock has the same market risk as the S&P 500, we assume a beta of 1.0.

Expected Return = 3.0% + 1.0 * 6.0% = 9.0%

To calculate the price Sally should be willing to pay, we use the dividend discount model:

Price = Dividend / (Expected Return - Growth Rate)

Dividend = $4.00

Expected Return = 9.0%

Assuming no growth, the growth rate is 0.

Price = 4.00 / (0.09 - 0) = $44.44

Therefore, Sally should be willing to pay a price of approximately $44.44 today for the stock.

In conclusion, the real rate of return, adjusted for inflation, is approximately -30.77%, and the price Sally should be willing to pay today is approximately $44.44.

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(a)  The remainder of 7k+3 when divided by 4 is 3.

(b)  The remainder of 2r+3s when divided by 11 is either 8 or 7, depending on the value of s.

(a) Let k be an integer with k≡3 (mod4). We know that k leaves a remainder of 3 when divided by 4. Now, we need to compute the remainder of 7k+3 when divided by 4.

Using the distributive property, we can rewrite the expression as 7k+3 = 4k + 3k + 3. Since 4k is a multiple of 4, it leaves a remainder of 0 when divided by 4.

The expression now becomes 3k + 3. We can factor out a 3, which leaves us with 3(k+1). Since k leaves a remainder of 3 when divided by 4, k+1 leaves a remainder of 0 when divided by 4. Therefore, the remainder of 7k+3 when divided by 4 is 3.

(b) Let r and s be integers with r≡3 (mod11) and s≡−7 (mod11). We know that r leaves a remainder of 3 when divided by 11 and s leaves a remainder of -7 or 4 when divided by 11 (since -7 is equivalent to 4 mod 11). Now, we need to compute the remainder of 2r+3s when divided by 11.

Using the distributive property, we can rewrite the expression as 2r+3s = 2r + 3(-7) or 2r + 3(4). In either case, we can simplify the expression by multiplying the coefficients by their respective remainders.

For the first expression, we get 2(3) + 3(-7) = -19 or 8 when reduced modulo 11. For the second expression, we get 2(3) + 3(4) = 18 or 7 when reduced modulo 11. Therefore, the remainder of 2r+3s when divided by 11 is either 8 or 7, depending on the value of s.

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Comparing the Z-scores, we can see that the Z-score for the height (2.61) is slightly larger than the Z-score for the weight (2.45). This indicates that the height value is more extreme than the weight value. The answer is option (a).

To determine which value is more extreme, we can compare the Z-scores for both the height and weight.

The Z-score is calculated using the formula: Z = (X - μ) / σ, where X is the observed value, μ is the mean, and σ is the standard deviation.

For the height value of 76.2 inches, the Z-score is: Z_height = (76.2 - 68.34) / 3.02 ≈ 2.61.

For the weight value of 237.1 lbs, the Z-score is: Z_weight = (237.1 - 172.55) / 26.33 ≈ 2.45.

Therefore, the answer is (a) The height is more extreme than the weight.

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The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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The required experimental probability that the next batter will get a hit is 2/11.

A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.

The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.

In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:

P(hit) = Number of hits / Total number of batters

P(hit) = 4/22

Simplifying:

P(hit) = 2/11

Therefore, the experimental probability that the next batter will get a hit is 2/11.

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In a case whereby Shana bought sodas and popcorn for the movies. Sodas cost $3 each and popcorn costs the system of equation involving the number of sodas, s, and the bags are:  (3s + 4p )= $26  and s+p = 7 .Then Shana bought 5 sodas and 2popcorn.

We know that :

Sodas cost =$3 each

popcorn costs= $4 per

total =$26

The system of equation can be written as :

(3s + 4p )= $26

We were also told that he bought things equal to the 7 things which can be expressed as:

s+p = 7

Then we can solve the equations as:

3s + 4p = 26 .............................................(1)

s+p = 7................................................................(2)

multiply equation by -3

-3s - 3p =-21  ..................................................................(3)

Then add (1) and 3

4p-3p = 26-21

p=5

Then substitute the value of p into equation 2 we have

s+5 = 7

s= 7-5

=2

s=2

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complete question:

Shana bought sodas and popcorn for the movies .Sodas cost $3 each and popcorn cost $4 per bag . Shana bought 7 things from the concession., all either sodas or bags of popcorn. Shana spent a total of $26 . Write a system of equations involving the number of sodas S ,and the bags of popcorn ,B .Solve the system to see how many of each shana bought