Suppose the average yearly salary of an individual whose final degree is master's is $40 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $110 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answers

Answer 1

Answer:

x=50000  dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollarsstep by step explanation :

let x be the salary of individual with bachelor degree

Then the average salary of individual with Masters degree is:

(2x-40000)

the combined of two salaries is 110000:

x+(2x-40000)=110000

3x-40000=110000

3x=110000+40000

x=150000/3

x=50000  dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollars


Related Questions

4 movie tickets cpst $48. At this rate, what is the cost of 5 movie tickets?

Answers

Answer:

60 dollars

Step-by-step explanation:

We can write a ratio to solve

4 tickets          5 tickets

--------------  = ----------------

48 dollars      x dollars

4x = 5*48

Divide each side by 4

x = 5*48/4

x = 60

Answer:

[See Below]

Step-by-step explanation:

4 tickets equals 48 so to get the price for each ticket divide:

* 48 / 4 = 12

So then just add now:

* 48 + 12 = 60.

So the cost of 5 tickets is 60$.

The quotient of two integers with same sign is always . The quotient of two integers with different signs is always .

Answers

Answer:  When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive. When you divide two integers with different signs, the result is always negative.

Step-by-step explanation:

Answer:

positive

negative

Step-by-step explanation:

Simplify the expression. [(7−3)⋅2+6]⋅3 a 21 b 26 c 42 d 96

Answers

Answer:

42

Step-by-step explanation:

[(7-3)2+6]3... [(4)2+6]3...[8+6]3....14(3)=42

Answer:

It should be c 42.

Step-by-step explanation:

Because [(7-3)2+6]3

               [(4)2+6]3

               [8+6]3

               [14]3

               42

 Sorry if it's long

Evaluate the expression. 9−32÷4

Answers

Answer:

5.75

Step-by-step explanation:

9-32÷4

23÷4

5.75

Answer:

1

Step-by-step explanation:

PEMDAS

9-32 / 4

9-8

1

Is 7/13 greater than 1/2?

Answers

yes

Step-by-step explanation:

7/13 isore than 1/2

Answer:

No 7/13 is not greater then 1/2

Step-by-step explanation:

7/13=1/2

7/13 is 0.05 and 1/2 is only 0.5

How many integers at between 15 and 63?

Answers

Answer:

48

Step-by-step explanation:

63-15=48

Answer:

48

Step-by-step explanation:

You are going to subtract 63 from 15 becasue intergers are whole numbers so just subtract to find what is in between.

How do I solve this equation 1x - 15 = 5x + 13

Answers

Answer:

x = -7

Step-by-step explanation:

This is a multi-step equation in algebra. We are expected to isolate the given variable and find the constant value that it is equal to. In order to do this, we can follow some steps:

1x - 15 = 5x + 13 Subtract 5x on both sides of the equation.

-4x - 15 = 13 Add 15 to both sides of the equation.

-4x = 28 Divide by -4 on both sides of the equation.

x = -7

You can input this value and make sure that the answer is correct.

1(-7) - 15 = 5(-7) + 13

-7 - 15 = -35 + 13

-22 = -22

-22 equals -22, so x = -7 is the solution to the equation.

Answer:

x= -7

Step-by-step explanation:

We are given the equation:

1x-15=5x+13

We want to solve for x. Therefore, we must isolate x on one side of the equation.

First, let’s move all the terms with variables to one side. Subtract 1x from both sides.

1x-1x-15=5x-1x+13

-15= (5x-1x)+13

-15=4x+13

Next, move all the constants, or terms without variables to one side. Subtract 13 from both sides.

-15-13=4x+13-13

-15-13=4x

-28=4x

Finally, divide both sides by 4. We should divide because x is being multiplied by 4 and the inverse of multiplication is division.

-28/4=4x/4

-28/4=x

-7=x

Let’s check our solution. Plug -7 in for x and solve.

1x - 15 = 5x + 13

1(-7) - 15 = 5(-7) + 13

-7-15=5(-7)+13

-22= 5(-7)+13

-22= -35+13

-22=-22

This checks out, so we know our solution is correct.

The solution to 1x - 15 = 5x + 13 is x= -7

What are the x-intercepts for the expression (x-4)(x+5)

Answers

Answer:

C. [tex] (4, 0) [/tex] and [tex] (-5, 0) [/tex]

Step-by-step explanation:

Given the expression, [tex] (x - 4)(x + 5) [/tex], the x-intercepts would be the values at which the expression = 0.

Rewrite the expression as:

[tex] (x - 4)(x + 5) = 0 [/tex],

Set the first and the second factors equal to 0

[tex] (x - 4) = 0 [/tex]

[tex] x = 4 [/tex]

[tex] (x + 5) = 0 [/tex]

[tex] x = -5 [/tex]

All the values that make [tex] (x - 4)(x + 5) = 0 [/tex] are the x-intercepts of the expression.

x = 4, -5

The point form of the x-intercepts are:

[tex] (4, 0) [/tex] and [tex] (-5, 0) [/tex]

If a giant armadillo gets 127 hours of sleep per week and a platypus gets 98 hours of sleep per week, in one year how many more hours of sleep does the giant armadillo get then the platypus

Answers

Answer: 1508 hours of sleep

Step-by-step explanation:

the arm gets 29 more hours of sleep than the plat per week

52 x 29 is 1508

If the ratio of blue marbles to red is 9:4 what is possible number of blue and red marbles in the jar

Answers

Answer:

13

Step-by-step explanation:

13 right? all ya gotta do is add em together right?

Sally is making masks for her family. Her pattern calls for a rectangle that is 9 x 14. If one yard of fabric is 36 x 42 (after the salvage edge is removed), how many masks can she make from one yard of fabric? If her fabric was on sale for $3.00 per yard, what is the fabric cost of one mask? If her fabric is regularly priced at $9.00 per yard, what is the fabric cost of one mask? Answer: Number of masks: Cost using discount fabric: $ Cost using regular priced fabric:

Answers

Answer:

how many masks can she make from one yard of fabric?

the maximum she can obtain is 4 (9 x 4 = 36) x 3 (14 x 3 = 42) = 12 masks from one yard of fabric.

If her fabric was on sale for $3.00 per yard, what is the fabric cost of one mask?

the fabric cost of 1 mask at a discount price = $3 / 12 = $0.25 per mask

If her fabric is regularly priced at $9.00 per yard, what is the fabric cost of one mask?

the fabric cost of 1 mask at regular price = $9 / 12 = $0.75 per mask

Consider a rectangle with width of x units and an area of 10 square units. The length 1 of the rectangle can be
modeled by the function 7(x) = 10. Suppose the width of the rectangle increases 1 unit, while the area remains
constant. Which graph models the length of the new rectangle?

Answers

The question asks us to find the a graph which represents the width of the rectangle increasing by 1 unit while the area remains constant. The best graph to model this, would be answer choice C

The graph in option 3 models the length of the new rectangle.

What is a rectangle ?Any figure bounded by 4 sides where the opposite sides are equal and all the angles are 90° is called rectangle.Area of the rectangle can be found by multiplying the length with its breadth.How to find which graph models the length of the new rectangle?

According to the problem,

width of the rectangle is  x unitsArea of the rectangle is 10 square unitsLength of the rectangle is given by f(x) = 10/x

Now if width becomes (x+1) units

Length will be represented as 10/(x+1)

Now from the given options we need to find the exact graph of              f(x) = 10/(x +1)

Here if x = 4 , y =2

So the point (4 , 2) is satisfied which is only happening in the graph of option 3

Option 3 represents the correct graph

Find more about "Graphs" here : https://brainly.com/question/4025726

#SPJ2

The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x.

Answers

Answer:

[tex] x = 2.5 [/tex]

Step-by-step explanation:

Surface area of cylinder = 2πr(h + r)

Volume of cylinder = πr²h

Given that S.A = Volume of the cylinder, therefore, we have:

2πr(h + r) = πr²h

Radius (r) is given as 2.5 cm

height (h) = x cm

Input the values and solve for x

2πr(h + r) = πr²h

2πr(h + r) = πr(rh)

2(h + r) = rh (πr cancels πr)

[tex] 2(x + 2.5) = 2.5*x [/tex]

[tex] 2x + 5 = 2.5x [/tex]

Subtract 2x from both sides

[tex] 2x + 5 - 2x = 2.5x - 2x [/tex]

[tex] 5 = 0.5x [/tex]

Divide both sides by 0.5

[tex] \frac{5}{0.5} = \frac{0.5x}{0.5} [/tex]

[tex] 2.5 = x [/tex]

[tex] x = 2.5 [/tex]

A set of data with 1200 numbers is normally distributed with a mean of 27 and a standard deviation of 4. How many numbers in the data would you expect to be between 23 and 31?
What numbers would be between 19 and 35 as well?
Help!

Answers

Step-by-step explanation:

The mean is 27 and the standard deviation is 4.

23 is 1 standard deviation below the mean, and 31 is 1 standard deviation above the mean.  According to the empirical rule, 68% of the population is between -1 and +1 standard deviations.

68% of 1200 is 816.

19 is 2 standard deviations below the mean, and 35 is 2 standard deviations above the mean.  According to the empirical rule, 95% of the population is between -2 and +2 standard deviations.

95% of 1200 is 1140.

Which statement describes function composition with respect to the commutative property? Given f(x) = x² – 4 and g(x) = x – 3, (f ∘ g)(2) = –3 and (g ∘ f)(2) = –3, so function composition is commutative. Given f(x) = 2x – 5 and g(x) = 0.5x – 2.5, (f ∘ g)(x) = x and (g ∘ f)(x) = x, so function composition is commutative. Given f(x) = x² and g(x)=StartRoot x EndRoot, (f ∘ g)(0) = 0 and (g ∘ f)(0) = 0, so function composition is not commutative. Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.

Answers

Ansdwer:

D

Step-by-step explanation:

Answer:

Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.

Step-by-step explanation:

Edge

5 concrete blocks form one-eighth of a structure. So how many concrete blocks are
required to form the structure?

Answers

Answer:

40

Step-by-step explanation:

5= 1/8 of structure so 5*8= 8/8 of the structure= 40

Answer:

40 blocks

Step-by-step explanation:

5 = 1/8 of x

multiply by reciprocal of (1/8) = 8

5(8) = x

x = 40

40 blocks

2) 1 - 3p+2p - 9
Your
answer
This is a required question

Answers

Answer:

-p - 8

Step-by-step explanation:

1 - 3p + 2p - 9 = -p - 8

2. Select ALL of the sets to which the number belongs. 144 Natural Whole Integer Rational Irrational​

Answers

Answer:

144 is:

Natural

Whole

Integer

Rational

[tex]\sqrt{144}[/tex] is:

Irrational

Step-by-step explanation:

Natural-All positive integers (144 applies) ([tex]\sqrt{144}[/tex] does not apply)

Whole-All positive integers and zero (144 applies) ([tex]\sqrt{144}[/tex] does not apply)

Integer- All positive and negative whole numbers and zero (144 applies)  ([tex]\sqrt{144}[/tex] does not apply)

Rational-All integers, fractions, and non-repeating decimals (144 applies)  ([tex]\sqrt{144}[/tex] does not apply)

Irrational-A real numbers that are NOT rational (144 does not apply)  ([tex]\sqrt{144}[/tex] applies)

Now if you want to find which groups [tex]\sqrt{144}[/tex] belongs to, you must ask if this applies to any rules.

Owen knows he only has three pencils in his backpack, and they are all yellow. He reaches into his backpack without looking and takes out a pencil. What is the probability that the pencil was yellow? Answer options with 5 options A. 0-thirds B. 1-third C. 2-thirds D. 3-thirds E. 3 over 1

Answers

Answer:

B. 1-third

Step-by-step explanation:

The formula for probability = Number of favorable outcomes/ Total number of outcomes

From the question, we are told that:

Owen knows he only has three pencils in his backpack, and they are all yellow. Hence, total number of outcomes = 3

He reaches into his backpack without looking and takes out a pencil.

Hence, total number of favorable outcomes = 1

What is the probability that the pencil was yellow?

Probability ( That the pencil is yellow) =

Number of favorable outcomes/ Total number of outcomes

= 1/3

Therefore, the probability that the pencil was yellow is 1/3 or one - thirds

Jane bought a package of paper priced at $1.98 and 2 pens priced at $0.49 each. The tax on the entire purchase was $0.18. What was the total cost of the items?

Answers

Answer:

The answer to this problem is $3.50

Step-by-step explanation:

Im not good at this..... please help

Answers

Answer:

B. Dependent Events

Step-by-step explanation:

Two events are dependent if the outcome of the first event affects the outcome of the second event, so that the probability is changed.

Simplify (please show work if possible)

Answers

Answer: -6x^7

Step-by-step explanation:

 2x^3 × (-3x^4)

=(2×-3) · (x^3 × x^4) ⇔ multiply the like terms

=-6 × [x^(3+4)] ⇔ the multiplication of exponents works as addition if same base

=-6x^7

Answer:

[tex]-6x^7[/tex]

Step-by-step explanation:

So when doing this equation, you multiply the numbers, which is 2 × -3, and add the exponents, which is 3 + 4, so then you get the answer, and that is [tex]-6x^7[/tex].

Approximate the square root of √31 .Round to two decimal places​

Answers

Answer: 5.57

Step-by-step explanation:

The square root of 31 is 5.56776436 and if you round that 2 decimals places you get 5.57 bc anything higher than 5 gets rounded up to the next number.

Miguel started an exercise program that has him swim 8 laps each day during the first week. Each week he adds 2 laps to his routine. In which week will he swim 20 laps each day?

Answers

The answer would be 7 weeks.

It would be 7 because if you counted by 2’s starting at 8 and ending at 20, you would have counted 7 times.

Help I’m being timed!!!!!!!

Answers

Answer:

[tex]y=-3x+8[/tex]

Step-by-step explanation:

The answers are given in slope-intercept form.

[tex]y = mx+b[/tex]

The slope (m) in the question is -3. The y-intercept (b) is 8.

Plug the values in you get:

[tex]y=-3x+8[/tex]

Hope this helps.

Jack bought a car for $29,000. He sold it for $10,000 3 years later. What is the percentage loss that Jack made?

Answers

Answer:

19000%

Step-by-step explanation:

i hope this correct

Solve for z in the literal equation 3/4(z+7)=y

Answers

Answer:

Below

Step-by-step explanation:

● (3/4)×(z+7) = y

Divide both sides by (3/4)

● (3/4)÷(3/4)×(z+7) = y÷(3/4)

● 1×(z+7) = y ÷(3/4)

● (z+7) = y ×(4/3)

● z+7 = 4y/3

Substract 7 from both sides

● z+7-7 = (4y/3)-7

● z = (4y/3)-7

This equation has infinite solutions. Every time you input a value you get a different solution.

3. Which words represent MULTIPLICATION
minus
times
product
quotient

Answers

Answer:

the answer is product and times.

The correct answer is PRODUCT and TIMES

minus is subtract
quotient is division

Christiana works at Texas Road House and makes $50 each night in tips plus $7.50 per hour. Write a function rule in function notation where M is the total money she makes and h is the number of hours she works in one night.

Answers

Answer: [tex]M = 50 + 7.50 h[/tex]

Step-by-step explanation:

As per the given scenario,

Total money Christina made = (Money she made in tips) + (Per hour wage ) x (Number of hours she work in one night)   (i)

Let M is the total money she makes and h is the number of hours she works in one night.

Here, Money she made in tips = $ 50

Per hour wage = $7.50

So substitute all the values in (i), we get

[tex]M = 50 + 7.50 h[/tex]

Hence, the required function is [tex]M = 50 + 7.50 h[/tex].

It costs $13 to rent a canoe and $5.50 to use the canoe for an hour. You have $29.50. Write an equation that represents the number $h$ of hours you can rent the canoe.

Answers

Answer:

Step-by-step explanation:

The base number is 13 dollars since you must pay it before adding hourly expenses.

Every hour, you have to pay 5.50.

So, the total cost would equal:

29.50 - (13 + 5.5h) < 29.50

Think: you have 29.50. you must pay 13 dollars before using it. it costs 5.50 for each hour. your money must be less than your total.

Hope this helped :)

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