Fred works for $11.25 per hour. His regular hours are 40 hours per week and he gets time and a half for overtime. One week he works 48.5 hours. He wants to calculate his pay. Complete the table.


rate: $11.25, regular hours:--------------, overtime: N/A, total: $----------

rate: $--------, regular hours: N/A, overtime: ---------, total: $----------

gross: $----------

Answer:

Step-by-step explanation:

{X ∈ √144ƒ+25+5/12ƒ , √144ƒ+25+5/12ƒ }

Answer:

57 liters

Step-by-step explanation:

Answer

1.0/5

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Yoko's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 57 liters. What are the possible numbers of minutes Yoko could add water?

Answer:

Minutes = 8 minutes

Step-by-step explanation:

Topic: Inequality

Given:

Available Size of water = 17 liters

Increment = 5 liters/minute

Size of water needed = At least 57 liters

Putting the above together, as have

17 + 5m > 57

where m represents total minutes and > represent at least

Solving the Inequality

5m > 57 - 17

5m > 40 ------ Divide through by 5

5m/5 > 40/5

m > 8

So, Yoko will need to add water for at least 8 minutes before she fills her tank to 57 liters.

There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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Answer:

what did u get the answers

Answer:

Step-by-step explanation:

Let s and e represent the grams of 6% and 8% solution, respectively. The given relations can be described by ...

  s + e = 600 . . . . . you have 600 grams of mixture

  0.06s +0.08e = 0.074(600) . . . . grams of alcohol in the mixture

__

The first equation can give an expression for s that substitutes nicely into the second equation:

  s = 600 -e

  0.06(600 -e) +0.08e = 0.074(600) . . . . substitute for s

  0.02e = 0.014(600) . . . . . . subtract 0.06(600)

  e = 420 . . . . . . . divide by 0.02

  s = 600 -420 = 180

You mixed 180 grams of 6% solution with 420 grams of 8% solution.

Answer: 180 grams of 6% solution with 420 grams of 8% solution.

Step-by-step explanation:

Let x and y be the weight (in grams) of 6% and 8% alcohol solution. Since the total weight is 600 grams, therefore,

\($$\Rightarrow x+y=600 \ldots \text { (1) }\)

Using the statement given, we can write the following equation:

\(\Rightarrow 6 x+8 y=(7.4)(600)\\ \Rightarrow 6 x+8 y=4440 \text {... (2) }\)

Substitute the value of y from equation (1) into equation (2), we'll get:

\(\begin{gathered}\Rightarrow 6 x+8(600-x)=4440 \\\Rightarrow 6 x+4800-8 x=4440 \\\Rightarrow 2 x=360 \\\Rightarrow x=180\end{gathered}\)

Therefore,

\(\Rightarrow y=600-180=420\)

Therefore, you mixed 180 grams of 6% solution with 420 grams of 8% solution.

The balance increase for card i is $89.24 greater than the balance increase for card h. Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt)

Given, Card h has a balance of $1,186.44 and an interest rate of 14.74%, compounded annually.

Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt),

where A = final amount, P = principal (initial balance), r = annual interest rate (as a decimal), n = number of times compounded per year, t = time (in years)

For card h,

A = 1186.44(1 + 0.1474/1)^(1*3)

A = 1883.99

For card i, A = 1522.16(1 + 0.1205/12)^(12*3)

A = 1973.23

Therefore, the balance for card i will have increased more than that of card h, and the difference in the increase is: 1973.23 - 1883.99 = 89.24

The balance increase for card i is $89.24 greater than the balance increase for card h. Hence, the required answer is card i.

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The required distance of object far from 25° and 55° are 103.71feet and 163.88feet respectively.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given the trigonometry identity;

d=94 secθ.

If the object is sighted at an angle of  25°, then;

d=94 sec25

d = 94 × 1/cos25

d = 94 × 1.1033

d = 103.71feet

If the object is sighted at an angle of  55°, then;

d=94 sec55

d = 94 × 1/cos55

d = 94 × 1.7434

d = 163.88feet

Hence the required distance of object far from 25° and 55° are 103.71feet and 163.88feet respectively.

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All of the following are measures of central tendency except the range

Mean

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

The mode, median, and mean are the three primary metrics for assessing central tendency. These metrics each give a different indication of the average or central value in the distribution.

Mode

The highest frequency of data and how many times the element is repeated in the data set is known as the mode value.

Median

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average.

Mean, median and mode are different measures of center in a numerical data set. They each try to summarize a dataset with a single number to represent a typical data point from the dataset.

When there are extremes in the sequences that might affect the average of the numbers the median is sometimes employed instead of the mean.

Thus, all of the following are measures of central tendency except the range

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Answer:

i dont belive you

Step-by-step explanation:

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

from the question, we have the following parameters that can be used in our computation:

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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Answer:

1. \(27^{\frac{2}{3} } =9\)

2. \(\sqrt{36^{3} } =216\)

3. \((-243)^{\frac{3}{5} } =-27\)

4. \(40^{\frac{2}{3}}=4\sqrt[3]{25} =4325\)

5. Step 4: \((\frac{343}{27}) ^{-1} =\frac{27}{343}\)

6. \(D. -72cd^{7}\)

Step-by-step explanation:

Use the following properties:

\(a^{\frac{x}{y} } =\sqrt[x]{a^{y} }\)

\(\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}\)

\(a^{-n} =\frac{1}{a^{n} }\)

\((xy)^{z} =x^{z} y^{z} \\\\\)

\((x^{y}) ^{z} =x^{yz}\)

\(x^{y} x^{z} =x^{y+z}\)

So:

1. \(27^{\frac{2}{3} } =\sqrt[3]{27^{2}} =\sqrt[3]{729} }=9\)

2. \(\sqrt{36^{3} } =\sqrt{36*36*36} =\sqrt{36} \sqrt{36} \sqrt{36} =6*6*6=216\)

3. \((-243)^{\frac{3}{5} } =\sqrt[5]{-243^{3} } =\sqrt[5]{-14348907} =-27\)

4. \(40^{\frac{2}{3}}=\sqrt[3]{40^{2} } =\sqrt[3]{2^{6} 5^{2} } =\sqrt[3]{2^{6} } \sqrt[3]{5^{2} } =2^{\frac{6}{3} } 5^{\frac{2}{3} } =4 *5^{\frac{2}{3} } =4\sqrt[3]{5^{2} } =4\sqrt[3]{25}=4325\)

5. \((\frac{343}{27}) ^{-1} =\frac{1}{\frac{343}{27} } =\frac{27}{343}\)

6.

\((-8c^{9} d^{-3} )^{\frac{1}{3} } *(6c^{-1}d^{4})^{2} =\sqrt[3]{-8} c^{3} d^{-1} 36c^{-2} d^{8} \\\\-2c^{3} d^{-1} 36c^{-2} d^{8}=-72cd^{7}\)

Answer:(n=6n)

Step-by-step explanation:

Answer:

p = 1

Step-by-step explanation:

Δ JKH ≅ Δ JIH

therefore KJ corresponds with IJ so you can set both sides equal to each other

10p = p+9

9p = 9

p = 1

The overall relapse rate from this study would be =58.3%.

To calculate the relapse rate , the the proportion of all the individuals that have a relapse should be converted to a percentage as follows:

The total number of individuals that has relapse= 28

The total number of individuals under study = 48

The percentage = 28/48 × 100/1

= 58.3%

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Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

<95141404393>

Answer:

12,13

9,12

Step-by-step explanation:

really really easy in an order pair

this is how you would do it

x. y

12,13

the first number is X on your graph or chart and the second one is Y

Answer:

y 6/5x-2

Step-by-step explanation

Answer:

y = \(\frac{6}{5}\) x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \(\frac{6}{5}\) , then

y = \(\frac{6}{5}\) x + c ← is the partial equation

To find c substitute (5, 1 ) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = \(\frac{6}{5}\) x - 5 ← equation of line

In statistical formulas, what does N stand for the  number of cases.

Statistical formulas are mathematical expressions used in statistical analysis to calculate various measures of central tendency, variability, correlation, regression, and other statistical properties of a dataset. These formulas provide a way to summarize and analyze large amounts of data, making it easier to draw conclusions and make decisions based on the data.

In statistical formulas, the variable N typically stands for the number of cases or observations in a given dataset. It represents the total number of individuals or data points in a sample or population being studied.

For example, in a sample of 50 students, N would equal 50, indicating that there are 50 cases or observations in the dataset. N is an important parameter in many statistical analyses, as it is used to calculate various measures of central tendency, variability, and other statistical properties of a dataset.

Therefore, the correct answer is b - The number of cases.

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Answer:

the answer is 40 inches

Step-by-step explanation:

8x5=40

Answer:

The width of the court is 30 feet.

Step-by-step explanation:

I_I = Court

Area= Length x Width

Area = 1,800 feet

Length = 60 feet

1,800 ÷ 60 = 30 feet

Hope this helped :D

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

A = 5

B = 9

C = 3

D = 4

Step-by-step explanation:

A = 3+ 2 = 5

B = 5 + 4 = 9

C = 1 + 3 = 3

D = 3 + 1 = 4

If you can, please give me a Brainliest; thank you, and have a good day!

Answer:

Step-by-step explanation:

Answer:

x= -6

v= 1

v= 2

Step-by-step explanation:

-3= x+7-4, combine like terms by subtracting seven from four

-3= x+3, subtract three from both sides

-6= x

8v-3+3v= 8, combine like terms by adding 8v and 3v

11v-3= 8, add three to both sides

11v= 11, divide both sides by 11

v=1

-v+3v=4, combine like terms by adding -v and -3v

2v= 4, divide both sides by 2

v= 2

Answer:

-3=x+7-4

-3-7+4=x

x=-6

8v-3+3v=8

8v+3v=8+3

11v=11

V=1

-v+3v=4

2v=4

V=2

Step-by-step explanation:

Neither student is correct and Venus is closer to the correct answer.

What is the proper fraction?

A proper fraction is a fraction where the numerator is smaller than the denominator. In other words, it represents a value that is less than one. Proper fractions are usually expressed in the form of a/b, where a is the numerator and b is the denominator.

Neither student is correct. The fraction 7/8 is a proper fraction, which means that it represents a value that is less than 1. It cannot be equivalent to a percentage that is greater than 100.

To convert a fraction to a percentage, we multiply the fraction by 100. So, to find the equivalent percentage for 7/8, we can calculate:

7/8 x 100 = 87.5%

Therefore, Venus is closer to the correct answer with her estimate of about 88%. Keyshawn may have made the mistake of multiplying 7/8 by 100 and getting 114% instead of dividing 7 by 8 to get the decimal equivalent of 0.875, and then multiplying by 100 to get the percentage equivalent of 87.5%.

Hence, neither student is correct and Venus is closer to the correct answer.

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Answer:

38x + 38

Step-by-step explanation:

Yes, the given equation is an example of a linear function.

The provided formula is classified as a linear function given its accordance with the standard structure of such functions, which follows y = mx + b. To clarify, y stands for the dependent variable, x denotes the independent one and m represents the slope; whereas, 'b' specifies the point at which the graph corresponding to the function meets the Y-axis intersecting it.

Converting the equation to a linear form gives:

2x + 3 = 4x + 2

x = 1/2

This is a linear function with zero being the slope.

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The full question is:
Is the following an example of a linear function?

2x + 3 = 4x + 2

Answer:

128

Step-by-step explanation: