Mathematics College

D. Determining the best job to take based on the pay. when considering a new job. a. Job A is 40 hours per week and pays $15 per hour (gross pay) with no tips. b. Job B is 30 hours per week and pays $5 per hour (gross pay) plus tips (which average $350 per week).

Answers

Answer 1

The job A is the best job based on pay scale

Given data ,

a) Job A:

Hours per week: 40

Hourly rate: $15

On simplifying the equation , we get

Gross pay per week: 40 hours * $15/hour = $600

b) Job B:

Hours per week: 30

Hourly rate: $5

On simplifying the equation , we get

Gross pay per week: 30 hours * $5/hour = $150

In addition to the base pay, Job B also offers tips averaging $350 per week.

Considering the total compensation for each job:

Total compensation for Job A: $600 per week (base pay)

Total compensation for Job B: $150 per week (base pay) + $350 per week (tips) = $500 per week

Based on the total compensation, Job A offers a higher gross pay of $600 per week, while Job B offers a total compensation of $500 per week.

Hence , if the decision is solely based on pay, Job A would be the better choice.

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Related Questions

Fill in the table using this function rule.
y=-3x-3
X
-2
-1
0
1
y
0
0
0
X
Ś

Answers

Answer:

X | y

---------------

-2 | 3

-1 | 0

0 | -3

1 | -6

7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.

Answers

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

What is a proportional relationship?

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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Write 2 x 10^-5
in standard notation.

Answers

Here is the standard notation

I need some help with this problem please

Answers

Answer:

the answer is 135

Step-by-step explanation:

Solve each system of equations using any method. x+3y=9, 2x-3y=3

Answers

Answer:

(4, 5/3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define Systems

x + 3y = 9

2x - 3y = 3

Step 2: Solve for x

Elimination

Combine equations: 3x = 12Divide 3 on both sides: x = 4

Step 3: Solve for y

Define equation: x + 3y = 9Substitute in x: 4 + 3y = 9Isolate y term: 3y = 5Isolate y: y = 5/3

Step 4: Graph Systems

Check the solution set.

Solve each system of equations using any method. x+3y=9, 2x-3y=3

The percent of change from 200 to 220 and indicate if it is an increase or decrease.

Answers

Answer: Increase

Step-by-step explanation:

What will be the result of substituting 2 for x in both expressions below?
+4
x+6-x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
O One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.

Answers

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Equivalent Algebraic expressions:

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

$\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2$

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Which statement correctly compares the function shown on this graph with the function y = 3x - 6?

Answers

The plotted function and the function y = 3x - 6 represent a straight line and have have same slope and hence, both the lines are parallel to each other.

What is the general equation of a straight line?

The general equation of a straight line is of the form -

y = mx + c

where -

[m] is slope of line

[c] is y - intercept

Given is a equation of a straight line and a graph of a straight line.

We have the following equation -

y = 3x - 6

For this equation, the slope of the straight line will be [m] = 3 and the y - intercept would be [c] = - 6. Refer to the graph attached with green color for all the possible set of solution.

Now, the equation of the line plotted on graph -

m = (4 - 0)/(0 + 1.3)

m = 3.07

m = 3 (approx.)

Its y - intercept [c] = 4

Therefore, the equation of the plotted line -

y = 3x + 4

Now, both the lines are plotted on the graph. It can be seen from the graph and from the equation that they have same slope and hence, both the lines are parallel to each other.

Therefore, the plotted function and the function y = 3x - 6 represent a straight line and have have same slope and hence, both the lines are parallel to each other.

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[The complete question needs the plotted graph. It is attached at the end of the answer]

Which statement correctly compares the function shown on this graph with the function y = 3x - 6?

Please help and thank you.

X=[?]

Answers

Answer:

x = 6

Step-by-step explanation:

Equilaterals are a type of triangle where all of the sides are congruent. The angles are also all equal.

Setting Up the Equation

As stated above, all of the sides are congruent. This means that the lines must be equal to which others. Since the sides are equal, we can set them equal to each other.

AB = AC

Now, we can substitute the expressions in the equation.

22x - 33 = 7x +57

Solving the Equation

After we set up the equation, we can solve for x using the properties of equality. There are different orders in which this can be solved. So if you prefer to work in a different order, the answer should still be the same.

First, rewrite the equation

22x - 33 = 7x +57

Next, add 33 to both sides

22x = 7x + 90

Then, subtract 7x from both sides

15x = 90

Finally, divide both sides 15

x = 6

This gives us our final answer of 6.

Checking the Answer

If you wanted to, you can check your answer by plugging 6 into the original equation.

22(6) - 33 = 7(6) + 57

Then solve the equation

99 = 99

Since both sides are equal, the answer must be correct.

At a costumer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 150 calls and a standard deviation of 5 calls. What is the probability that during a given hour of the day there will be between 146 calls and 163 calls, to the nearest thousandth

Answers

We have been given that at a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 150 calls and a standard deviation of 5 calls. We are asked to find the probability that during a given hour of the day there will be between 146 calls and 163 calls.

First of all, we will use z-score formula to find z-score corresponding to 146 and 163.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{146-150}{5}$

$z=\frac{-4}{5}$

$z=-0.8$

$z=\frac{163-150}{5}$

$z=\frac{13}{5}$

$z=2.6$

Our next step is to find percentage of data scores falls between both z-scores.

$P(-0.8<z<2.6)=P(z<2.6)-P(z<-0.8)$

Using normal distribution table, we will get:

$P(-0.8<z<2.6)=0.99534-0.21186$

$P(-0.8<z<2.6)=0.78348$

Let us convert our answer into percentage.

$0.78348\times 100\%=78.348\%$

Upon rounding our answer to nearest thousandths, we will get:

$78.348\%\approx 78.35\%$

Therefore, the probability that during a given hour of the day there will be between 146 calls and 163 calls is approximately $78.35\%$.

Answer:

0.624

Step-by-step explanation:

DeltaMath

What to numbers multiply to -38 and add to 17

Answers

Answer:

-2 and 19

Step-by-step explanation:

Answer:

19 and -2

Step-by-step explanation:

19 * -2 = -38

19 + -2 = 17

Hope this helps

find the measure of the indicated angle

Answers

Answer:

Step-by-step explanation:

36°

which is the best description of the lines y = 3x + 1 and y = 3x -5

Answers

For a line in the slope-intercept form:

$\begin{gathered} y=mx+b \\ m=slope \\ b=y-intercept \end{gathered}$

From:

$\begin{gathered} y=3x+1 \\ m1=3 \\ b1=1 \end{gathered}$

From:

$\begin{gathered} y=3x-5 \\ m2=3 \\ b2=-5 \end{gathered}$

If two lines are parallel, then:

$\begin{gathered} m1=m2 \\ 3=3 \\ True \end{gathered}$

Therefore, we can conclude, the lines are parallel

Answer:

The two lines are parallel, because they have the same slope.

PLZ HELP MEEEEEEEEEEEEEEEEEE PLZZZZZZZZZZZZZZZZZZZ
This 7th grade math

Answers

Answer:

g=130

k=74

h=50

m=106

Step-by-step explanation:

Which expression are equivalent to the expression X minus Y times 5÷8-1÷4 X plus Y

Answers

The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to

(20X² - 20Y² - 1) / (4X + 4Y)

We have,

We can simplify the given expression as follows:

(X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y)

= (5X - 5Y) ÷ 8 - 1 ÷ (4X + 4Y)

[distributing the factors]

= (5X - 5Y) /8 - 1/(4X + 4Y)

[finding a common denominator]

= ((5X - 5Y)(4X + 4Y) - 1)/(4X + 4Y)

= (20X² + 20XY - 20XY - 20Y² - 1) / (4X + 4Y)

= (20X² - 20Y² - 1) / (4X + 4Y)

Therefore,

The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to

(20X² - 20Y² - 1) / (4X + 4Y)

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Write the expression using exponents.
−(4b)(4b)(4b)

Answers

The expression −(4b)(4b)(4b) using positive exponents is -(4b)³

How to rewrite the expression using exponents

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

−(4b)(4b)(4b)

Express properly

So, we have

−(4b) * (4b) * (4b)

5⁻¹² * 32⁻³ * 9⁻¹⁵

By using the definition of positive exponents, we have

−(4b) * (4b) * (4b) = -(4b)³

So, the solution is -(4b)³

Answers

Note that from the information provided, KL is 24. This is solved using the Centroid Theorem.

What is the rationale for the above response?

According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the midpoint of the sides.

From the information given in the diagram, P is the centroid of the triangle. Therefore, applying the centroid theorem, thus,

⅔ of KL = LP

LP = 16

Plug in the value of LP

⅔ (KL) = 16

Multiply both sides by 3

2(KL) = 3*16

2(KL) = 48

Divide both sides by 2

KL = 48/2

Thus,

KL = 24

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A total of 27 students are in your class. There are nine more males than females.

How many females are in your class?

Answers

9 females. 18 males.

Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 8 adult smartphone users are randomly selected, find the probability that exactly 4 of them use their smartphones in meetings or classes. The probability is

Answers

Answer:

≈ 0.2526

Step-by-step explanation:

The number of combinations of 4 out of 8:

8C4 = 8!/(4!(8-4)!)= 8*7*6*5/(1*2*3*4)= 70

Success factor is:

57% = 0.57

and failure factor is:

(100 - 57)%= 43%= 0.43

Probability:

0.57⁴*0.43⁴*70 ≈ 0.2526

In a sequence if Tn = 5n² - 4 What is the sum of the 5th and 7th terms?
a)121
b)244
c)365
d)367

Answers

Answer:

d)367

Step-by-step explanation:

Given, Tn = 5n² - 4

To find the 5th term, substitute n = 5 in the equation Tn = 5n² - 4

T5 = 5(5)² - 4

T5 = 121

To find the 7th term, substitute n = 7 in the equation Tn = 5n² - 4

T7 = 5(7)² - 4

T7 = 241

Therefore, the sum of the 5th and 7th terms = T5 + T7 = 121 + 241 = 362.

Hence, the correct option is (d) 367.

Please need help on this one

Answers

Answer:

60°

Step-by-step explanation:

wx=√(9²+(3√3)²)=√(81+27)=√108=√(36×3)=6√3

$cos w=\frac{3\sqrt{3}}{6\sqrt{3}} =\frac{1}{2} =cos ~60\\m \angle ~w=60^\circ$

Today, Thurber studies math for 15 minutes and he studies science for 75 minutes. From now on, Thurber

plans to study math for 50 minutes per day and to study science for 30 minutes per day. Will Thurber ever

have studied the same total amount of time for both math and science? Explain. Use the drop-down

menus to complete the sentence.

Answers

Answer:

Given:

Today, he studies 15 minutes math and 75 minutes science

and from now on, 50 minutes math and 30 minutes science

Step-by-step explanation:

so if he studies for 1 day total time for math and science will be

math=15+50 science=75+30

=65 minutes =105 minutes

2nd day,

math=65+50 science=105+30

=115 minutes =135 minutes

3rd day,

math=115+50 science=135+30

=165 minutes =165 minutes

So, after three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.

In this exercise we have to use interpretation skills to calculate the total time that studied the two subjects:

$165 \ both \ subjects$

Today, he studies 15 minutes math and 75 minutes science and from now on, 50 minutes math and 30 minutes science. So if he studies for 1 day total time for math and science will be:

Math: $15+50 = 65$ Science: $75+30= 105$

2nd day:

Math: $65+50 = 115$ Science: $105+30 = 135$

3rd day:

Math: $115+50= 165$ Science: $135+30= 165$

So, after three days Thurber will have studied the same total amount of time for both math and science and the time is 165 minutes for both.

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Y=-4(x+1)^2 -8 PLEASE HELP!!

Answers

Answer:

Flipped over x-axis, Stretched by 4 times in y values, 1 unit to the left, and 8 units down.

Step-by-step explanation:

Multiple proceeding is the amount of stretch (or compression if it is a value less than 1)

A positive value within the parentheses represents a shift to the left.

The c value of this function being negative shows a downward transition.

A television is on sale for $75 off,
The price of the television with the sale is $300,
If you use the equation n - 75 = 300 to solve this problem, what does n represent?

Answers

The term n is the initial amount that the television is to be sold.

What is the meaning of n?

We are told that the television in this case is to be sold at a discount piece. The implication of this is that there is something that has to be removed from the price of the television as it is sold.

We are told that what they are to remove from the price of the television is about $75 and that when this is done, the price of the television would be about $300. Thus n is the original price of the television.

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The variable n represents the initial value of the television

How to interpret the variable n

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

Amount off = $75

New price = $300

When represented as the equation, we have

n - 75 = 300

Add 75 to both sides of the equation

So, we have the following representation

n = 375

This means that the initial price of the television is $375

Answers

Answer:

49 square inches

Step-by-step explanation:

Length x width =area

since it is a square, all sides have a length of 7 inches

7x7=49 inches ^2

The diagram shows a logo made from three circles

Answers

Answer:

3cm+2cm+5cm=10cm

%=100

10*10=100

2cm*10=20%

Step-by-step explanation:

the shaded area is width of 2 2/10 or 20/100

Answer:

33%

Step-by-step explanation:

for if u want to do it 4cm then

4+3+3=10

100π cm^2

49π cm^2

16π cm^2

49π - 16π = 33π

33/100 =33%

The ratio of the sides of a triangle is 8:13:11. If the perimeter of a triangle is equal to 256, what is the length of the longest side?

Answers

There asking what the numbers are by The ratios, what I did was did was multiply by 8 for each number 8•8=64 13•8=104 11•8=88 so now what you do is add up 64+104+88=256 those are your answers if you want to double check you will dived them by 8 so 64/8=8 104/8=13 88/8=11
Hope this helps :-)

Which numbers are between 14 and 42 and are perfect squares roots

Answers

Answer:

16 (4x4)

25 (5x5)

36 (6x6)

Step-by-step explanation:

Begin by graphing the standard absolute value function f(x) = | x |. Then use transformations of this graph to describe the graph the given function.
g(x)=|x|+3

Answers

Using translation concepts, it is found that the graph of g(x) is a shift up of 3 units of the graph of f(x).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the functions are:

f(x) = |x|.g(x) = |x| + 3 = f(x) + 3.

That is, the graph of g(x) is a shift up of 3 units of the graph of f(x), as shown at the end of this problem in the graph.

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Begin by graphing the standard absolute value function f(x) = | x |. Then use transformations of this

An experiment finds that runners with the longest legs complete a mile run in less time. Identify the relation between leg length and time of a mile run.

Answers

Answer:

The relation between the leg length and the time of a mile run is an inverse relation.

Step-by-step explanation:

Inverse relation is one between two variables in which as the value of one of the variables increases, then the value of the other decreases.

From the given question the longer the leg of a runner, the lesser the time to complete a mile run. This implies that as the length of the leg of a runner increases, the time to cover a mile decreases. Therefore, the relation between the leg length and time is an inverse relation.

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