Question 4 of 32 Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.

PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34

PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than

the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.​

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Jacob's yearly income :

2000x + 3000 ; x = number of hours worked per week.

Carlos income :

3800x - 40000

Managers prediction = 35

Jacob.: 2000(35) + 3000 = 73000

Carlos : 3800(35) - 40000 = 93000

Carlos will earn more than Jacob given the manager's prediction.

Number of hours required so they can earn the same amount :

2000x + 3000 = 3800x - 40000

3000 + 40000 = 3800x - 2000x

43000 = 1800x

x = 43000/1800

x = 23.88

x = 24 hours


Related Questions

what is the x intercept for y= 3x - 8

Answers

Answer:

The x-intercept would be 8/3.

Answer:

(8/3, 0)

Step-by-step explanation:

A mobile dealer sells a mobile at a discount of 25% on its marked price and earns a profit of 10%. If the marked price of the mobile is 8800, what will be the cost price of the mobile? 6075​

Answers

Given :

Discount = 25% .

Profit = 10%.

Marked price of mobile = Rs.8800.

Find :

Cost Price of the mobile

Solution :

As we know that, their is no direct relation between Mark price and cost price . so we have to work on selling price of the mobile.

So,

→ MP of mobile = Rs.8800

→ Discount = 25% .

than,

→ SP of mobile = MP * (100 - discount%) / 100

→ SP of mobile = 8800 * (100 - 25) / 100

→ SP of mobile = 88 * 75

→ SP of mobile = Rs.6600 .

Now,

→ SP of mobile = Rs.6600

→ Profit % = 10% .

than,

→ CP of mobile = SP * 100 / (100 + Profit%)

→ CP of mobile = 6600 * 100 / (100 + 10)

→ CP of mobile = (6600 * 100) / 110

→ CP of mobile = 60 * 100

→ CP of mobile = Rs.6000 . (Ans.)

Hence , Cost Price of the mobile is Rs.6000.

I hope it will help you.

Regards.

A percentage is a way to describe a part of a whole. The cost price of the mobile phone is 6,000.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

Let the cost price of the mobile be represented by x.

Given that dealer earn profit of 10% on its cost price, therefore, we can write the selling price of the mobile as,

Selling price = Cost price + Profit

                     = x + 10% of x

                     = 1.10x

Also, given that the mobile dealer sells a mobile at a discount of 25% on its marked price. Therefore, we can write the selling price as,

Selling price = Marked price - Discount

                     = Marked price - 25% of marked price

                     = 8,800 - 25% of 8,800

                     = 8,800 - 0.25(8,800)

                     = 8,800 - 2,200

                     = 6,600

Now, Comparing the sales price we got from above two equation, therefore, the cost price of the mobile can be written as,

1.10x = 6,600

x = 6,600/1.10

x = 6,000

Hence, the cost price of the mobile phone is 6,000.

Learn more about Percentages here:

https://brainly.com/question/6972121

#SPJ2

banana cheese salad with cheese on top

Answers

Step-by-step explanation:

question is notcorrect

Answer:

[tex]x<-5[/tex]

Step-by-step explanation:

[tex]4-x<9[/tex]

Subtract 4 to both sides

[tex]x<-5[/tex]

Hope this helps and pls do mark me brainliest if you can:)

The equipment elevator descends 4 feet per second. The elevator for the miners descends 17 feet per second. The equipment elevator descends. After 25 seconds, the elevator for the miners begin to descend. What is the position of each elevator relative to the surface after another 12 seconds? At that time. Which elevator is deeper?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Equipment elevator Descent = 4 fts per Second

Miners elevator descent = 17 ft/sec

Miner's elevator begins descent 25 seconds after equipment elevator :

Elevation after another 12 seconds :

Descent = (speed * time)

Equipment elevator = 4 * (25 + 12) = 148 ft descent

Miner's elevator = 17 * 12 = 204 ft descent

The Miner's elevator is deeper at 204 feets.

Which shows the image of quadrilateral ABCD after the transformation Ro, 90?

Answers

Quadrilateral ABCD is rotated 90 degrees clockwise, to get A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

If a point A(x, y) is rotated clockwise by 90 degrees, the new point is at A'(y, -x)

Quadrilateral ABCD is at A(-1, 0), B(0, -1), C(-2, -3) and D(-3, -2). If ABCD is rotated 90 degrees clockwise, the new point is at A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).

Find out more on transformation at: https://brainly.com/question/1548871

Answer:

B)

Step-by-step explanation:

edge

The bells are adding a new room to their house. The room will be a cube with volume 8000ft3. They are going to put in hardwood​ floors, and the contractor charges10 ​$ per square foot. How much will the hardwood floors​ cost? The hardwood floors will cost ​$

Answers

Given:

Volume of a cubed room = 8000 cubic ft

Cost of floor hardwood = $10 per square foot

To find:

The total cost of floor hardwood.

Solution:

Let the each side of cubed room be x ft.

Volume of a cube is cube of its side.

Volume of a cubed room is 8000 cubic ft. So,

[tex]x^3=8000[/tex]

Taking cube root on both sides.

[tex]x=20[/tex]

So, length of each of room is 20 ft.

Area of base = length × breadth

So, area of base of room is

[tex]20\times 20=400\text{ ft}^2[/tex]

It means, 400 sq ft  hardwood is required for the floor.

Cost of floor hardwood is $10 per square foot. So, total cost of hardwood floor is

[tex]400\times 10=4000[/tex]

The hardwood floors will cost ​$4000.

A box contains 20 calculators, and two of them are defective. Three calculators are randomly selected from this box and inspected to determine whether each of them is good or defective. Is this experiment a binomial experiment? Why or why not? Explain your REASONING and provide EVIDENCE

Answers

Answer:It is a binomial experiment

Step-by-step explanation:

A binomial experiment is an experiment that has a fixed number of independent trials with only have two possible outcomes. This outcome could either be a yes or No.

example is when a coin is toss one can set it as either I will get a head or a tail.

The experiment is binomial because it has a fixed number of trial which is 3 calculator that has been picked,

It has two outcome which is either good or bad calculator and the each trial is independent of each other.

8³ times 8⁷ i need help asap

Answers

Answer: 8¹⁰

Explanation: Since these two powers have the same base of 8, you can

multiply them together by simply adding their exponents to get 8¹⁰.

A common mistake in this problem would be to

multiply the bases together and give an answer of 64¹⁰.

It's important to understand however that the 8's can't be

multiplied together because they are not coefficients, they are bases.

When applying your exponent rules, your base will never change.

An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458

Answers

Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

Given the function : C(x)=x^2−520x+73458

To find the minimum unit cost :

Take the derivative of C(x) with respect to x

dC/dx = 2x - 520

Set = 0

2x - 520

2x = 520

x = 260

To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

= 5,858

I NEED HELP ASAPPPPP

Answers

Answer:

6 decimal places.

Step-by-step explanation:

It's a pretty simple problem. Just simply divide 355 by 113. When you do that you get 3.14159292, which is 6 decimal place accuracy because pi in your problem, is equal to 3.141592654. Then you just count the matching decimal places, which is 6.

The answer is 6. If you divide 355 / 113 it matches pi to the 6 decimal point

What is the solution of 34x+2x=44

Answers

Answer:

x=11/9 hope this helped <3

Step-by-step explanation:

Let's solve your equation step-by-step.

34x+2x=44

Step 1: Simplify both sides of the equation.

34x+2x=44

(34x+2x)=44(Combine Like Terms)

36x=44

36x=44

Step 2: Divide both sides by 36.

The width, w, of a rectangular pool is 15 feet. The area of the rectangular pool is no more than 75
square feet. Which inequality represents all possible lengths of the pool?

Answers

Answer:

1. W=15 L=5 or W=5 L=15.

Step-by-step explanation:

Answer ASAP!!! LOOK AT PIC FOR QUESTION.​

Answers

Answer:

A

Step-by-step explanation:

The equation starts at the coordinate point (0,0)

Answer:bdusnsbs

Step-by-step explanation:

Simplify this awnser ty

Answers

Answer:

8^3=512,8^2=64,8^1=8,8^0=1

Step-by-step explanation:

Gemma has 23 apples and she gives her brother 5 apples what percent did she give to her brother?
Plz help?

Answers

Answer:

4.6%

Step-by-step explanation:

It’s would be 18% or 17%

Is y=1/4x a function

Answers

i sure is crosses through the orgin once straight through the middle plus its linear slope of 4

can anyone help this is my last try agian

Answers

Answer:

The bakery sold 340 that day

Step-by-step explanation:

119 is 35 percent of 340

A tortoise makes a journey in two parts it can either walk at 4cm/s or Crawl at 3cm/s if the tortoise walks the first part and crawl the seconds it takes 100 seconds find the length of the two parts of the journey

Answers

Answer:

walking 57 seconds Crawling 43 seconds

Step-by-step explanation:

100s

Walking + crawling

4cm/s. +. 3cm/s

= 7cm/s

walking length= 4cm/s/7cm/s x 100s

=57.14 or 57s

crawling =100s- 57s

=43s

True or False: Every number has a limited amount of factors, but an unlimited amount of multiples. ​

Answers

Answer:

False

Step-by-step explanation:

0 has unlimited numbers of factors because 0 times everything equals 0. If 0 is not included then the statement is true.

∆ABC is isosceles. If m∠B = 35° what is the measure of ∠C?

Answers

Answer:

If ABC is isosceles, then <C is 35, and <A should be 110.

Step-by-step explanation:

PLEASE ANSWER ASAP
1.) the sum of two numbers is 42, the difference is 30. find the two numbers

2.) the perimeter of a rectangle is 62cm, the length is 1cm more than twice the width, what are the dimensions of the rectangle?

3.) in blue river terry can row 36km downstream in three hours, but it takes him 6 hours to row the same distance upstream, find the rate he rows in still water and the rate of the current.

4.) the cost of 8 avocados and 3 tomatoes is $8.39, the cost of 4 avocados and 12 tomatoes is $11.44. find the cost of each avocado and each tomato.

5.) coffee is worth $2.95 a pound was mixed with coffee worth $3.50 a pound to produce a blend worth $3.30 a pound. how much of each coffee was used to produce 44 pounds of blended coffee?

Answers

Answer:

1.) The two numbers are 36 and 6.

2.) 42cm + 20cm = 62cm

3.) 3km/hr = rate of current

4.) Each cost 0.79 cents

5.) Mixed is 16 lbs

Blended is 28 lbs

Step-by-step explanation:

2x+5/3 = 3x-10
Please can anyone help?

Answers

Answer:

first bring x value together

Step-by-step explanation:

like 2x and 3x together and then take 5/3 to RHS and solve

I need help with this graph.

Answers

Answer:

It doesn’t represent a function

Step-by-step explanation:

Mike and Larry are friends who share the same birthday.They decided to have a birthday party together and their friends. Mike received 21 gifts while Larry received 12 gifts. What is the ratio of gifts for Mike to Larry ​

Answers

Answer:

21:12

Step-by-step explanation:

Answer:

7:4

Step-by-step explanation:

because u simplify 21:12 and u would get 7:4

Is the relation a function?{(1,5),(1,7),(3,9),(4,11)}

Answers

Answer: No

Step-by-step explanation: Multiple Y values come from the same X value, which means its not a function.

Answer:

No

Step-by-step explanation:

Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.

when 3+3x-5-8x is simplified, the result is?

Answers

Answer:

−5x−2

Step-by-step explanation:

Evaluate:
(-4) (-3)
Another easy 10 points for yall

Answers

Answer:

12

Step-by-step explanation:

tysm ily

(-4)(-3)

= 12

Easy lol

What is the slope of the graph shown below?
-3
7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7
-2
-3
-4
-5
-6
.7
A. -3
B. 4
C. 4/3
O D. 1/4

Answers

Answer:

2435

Step-by-step explanation:

is
Find the area of this circle. Use 3 for .
A = air2
Hint: The radius (r) is
1/2 of the diameter.
12 in
[?] in2

Answers

Answer:

113.1 in²

Step-by-step explanation:

A = pi × r²

= pi × 6²

= 113.1 in²

Please help ;^;^;^;^;​

Answers

Answer:

-5

Step-by-step explanation:

The numbers went from -9t to -8t That means 1t=-5

Answer:

t = -5

Step-by-step explanation:

-9t - 5 = -8t

+-9. +-9

-5 = t

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