A company can send a maximum of 40 workers to complete a
task. The manager needs to limit the total cost of the workers
within $1000. He needs to pay $30 and $20 to each female
and male worker for this task respectively. Write a system of
inequalities to express this situation. What is the least possible
number of male workers the manager should send to meet the
requirements?
male workers

Answers

Answer 1

Answer:

20

Step-by-step explanation:

For the sake of the problem, let's make female workers "x" and male workers "y".

x+y<40       This equation shows that the total number of workers has a max of 40.

30x+20y<1,000      This equation shows that the total cost the manager pays ($30 to each woman, $20 to each man) has a max of $1,000.  

Now you can solve for x and y.

X+y<40

-y       -y

X<-y+40

Substitute -y+40 in for X in the second equation

30(-y+40)+20y<1,000      

-30y+1200+20y<1,000         Distribute

-10y+1,200<1,000      Combine like terms

-10y<-200                   Subtract 1,200

y>20                Divide by -10; flip the sign

Since y>20, and y=male workers, you now know that the minimum

number of male workers he should send is 20


Related Questions

DUE SOON!

A spinner has 8 equal spaces. If you spin it, what is the probability that you 2 points
spin a number greater than 5?

Answers

Answer:

78

Step-by-step explanation:

probability of getting a 5 which is 78.

Another way to look at this is that if we know the probability of the result being 5, then the probability of it not being 5 is just one minus that probability. We know that 5 is just one out of the 8 possibilities, so

P5=18

So the probability of not 5 is

Pnot5=1−P5=1−18=78

I have big brain

On a number line, what is the distance between 5 and -2?

Answers

Answer:

7

Step-by-step explanation:

to get to -2 to 5 you must move up 7 spota

Answer:

7

Step-by-step explanation:

The distance between 5 and 0 is 5 units. And the distance between -2 and 0 is 2 units thus the distance between -2 and 5 is 7.

Suppose that 10 years ago you bought a home for $130,000 paying 10% as a down payment, and financing the rest at 9% interest for 30 years. How much money was your existing loan for.

Answers

Answer:

13,000

Step-by-step explanation:

10% of the original purchase price of $130,000.

130,000 x .10 = 13,000

what is the answer please i need help

Answers

Answer:

Step-by-step explanation:

can someone pls answer :/

Answers

Sorry I don’t know this question but do not open the link above!

Find the area of the trapezoid.
6 in.
4 in.
8 in.

Answers

Answer:

40 in.

Step-by-step explanation:

A=(a+b)/2 x h

WILL MARK BRAINLIST FOR THE CORRECT ANSWER!!
The figure shown is formed by a square of area 4 and a semicircle. Find the perimeter of the figure.
A) π + 6
B) π + 8
C) 2π + 4
D) 2π + 6

Answers

Answer:

answer is A

Step-by-step explanation:

3*2=6

2pi/2=pi

The perimeter of the given figure is equivalent to (6 + π) units

What is Perimeter?

Perimeter is defined as the length of the boundary of the given figure. We can write the perimeter mathematically as -

P = ∫f(x) dx

Given is to find the perimeter of the given image as shown.

We can write the area of the square as -

a² = 4

a = √4

a = 2

Also,

The perimeter of the semicircular part is -

1/2 x 2π x 2/2

π

So, the perimeter would be -

P = 2 + 2 + 2 + π

P = 6 + π

Therefore, the perimeter of the given figure is equivalent to (6 + π) units.

To solve more questions on areas & perimeter, visit the link-

https://brainly.com/question/29213222

#SPJ3

Combine like terms: m + 11g - 7g + 7m

Answers

Answer:

4g+8m

Step-by-step explanation:

7m+m=8m 11g-7g=4g

Solve: negative 1 over 2 x + 3 = −x + 7

Answers

Answer:

Assuming what you meant was [tex]\frac{1}{2}x + 3 = -x +7[/tex], the answer would be x = 8

Fatimah wants to build a one-sample z interval to


estimate the proportion of students at her school who ate


breakfast every day last week with 90% confidence. She


takes a random sample of 75 students and finds that 20


ate breakfast every day last week.


What critical value z* should Fatimah use to construct


this confidence interval?


A) z* = 1.282


B) z* = 1.645


C) z* = 1.96


D) z* = 2.576

Answers

Answer:

B: z*=1.645

Step-by-step explanation:

Khan academy step by step

Answer: z*=1.645

Step-by-step explanation:

I have some stickers in my collection.
My sister has 29 more than I do.
Together we have 773 stickers. How
many stickers are in my collection?

Answers

Answer:

Step-by-step explanation:

s=y+29

s+y=773, using s from above makes this

y+29+y=773

2y+29=773

2y=744

y=372

So you have 372 stickers in your collection.

Write in simplest form: 8t2/(36t) = _____

Answers

4/9 is the correct answer

QUESTION 13: Select each expression that is equivalent to -2 -3(n-1)."
3n+ 3-2


4(n + 1)

-2(n+2) + 5(n+1)

3n + 1

-5(n+1)

n+1

Answers

First, we have to simplify the first expression so we know what we're lookin' for.

-2-3n+3, -3n+1

We can scroll down the list of choices, and we can already see the answer.

---

sorry if this doesn't help

please sleep me helpppp

Answers

Answer:

help me first on this question

Step-by-step explanation:

S

А.

B

D

с

Given ABCD is an isosceles trapezoid with

BC=9x+1 and AD=12x-11, find the value of x.

If the answer is 9, move to I

If the answer is 3, move to H

If the answer is 7, move to Y

If the answer is 4, move to T

Answers

Answer:

x = 4

Step-by-step explanation:

A trapezium is a quadrilateral (has four sides and four angles) with one pair of parallel sides. A trapezium is said to be isosceles if the bases are parallel, the two other sides known as the legs are equal and diagonals of the trapezium are equal to each other.

In trapezoid ABCD, BC and AD are the diagonals.

Hence BC = AD (property of isosceles trapezoid)

9x + 1 = 12x - 11

Simplifying:

12x - 9x = 1 + 11

3x = 12

Dividing both sides by 2:

x = 4

can you solve this for me please?​

Answers

Answer:

19: 106

20: 79

21: 70

Step-by-step explanation:

Circle upper left

The central angles all add up to 360 degrees

BC + CD + 148 = 360

But CD = BC

2BC + 148 = 360            Subtract 148 from both sides

2BC = 360 - 148             Combine

2BC = 212                       Divide by 2

BC = 106

20

3 of the 5 arcs are marked as being equal.

Let each of them be called  = x

3x + 41 + 82 = 360          Combine

3x + 123  = 360                Subtract 123 from Both sides.

3x = 360 - 123

3x = 237

x = 237 / 3

x = 79

BC = 79

21

Unless DE and FC are diameters, this can't be solved. I will assume they are.

FB + 48 + 22 = 180.

FB + 70 = 180

FB = 110

===========

FC = FB + BD + DC

180 = 110 + 22 + DC

180 = 132 + DC

DC = 180 - 132

DC = 48

===========

BC = BD + DC

BC = 22 + 48

BC = 70

A scientist adds drops of liquid to a test tube. The test tube has marks every ml.
Each drop contains 0.14 mL. Between which two marks on the test tube will the
liquid be after the sixth drop is added?
a. 1/5 and 2/5, between 0.2 and 0.4 mL's
b.2/5 and 3/5, between 0.4 and 0.6 ml's
c.3/5 and 4/5, between 0.6 and 0.8 mL's
d. 4/5 and 5/5, between 0.8 and 1 ml​

Answers

Answer:

A scientist adds drops of liquid to a test tube. The test tube has marks every ml.

Each drop contains 0.14 mL. Between which two marks on the test tube will the

liquid be after the sixth drop is added?

a. 1/5 and 2/5, between 0.2 and 0.4 mL's

b.2/5 and 3/5, between 0.4 and 0.6 ml's

c.3/5 and 4/5, between 0.6 and 0.8 mL's

d. 4/5 and 5/5, between 0.8 and 1 ml

Katelyn drove 210 miles in 3 hours. Samantha
drove 540 miles in 8 hours,
Who drove faster? Explain your answer.


please help it’s for 21 points

Answers

Answer:

katelyn

Step-by-step explanation:

you divide distance by time to get rate, and katelyn has a faster rate because 210/3 is more than 540/8

Answer:

Katelyn drove faster

t=d/s

s=d/t

d=s*t

Step-by-step explanation:

s=d/t is what we are using to find the speed

Katelyn- 210/3=70

Samantha-540/8=67.5

70>67.5

Katelyn drove faster

can you think of a number where we multiply by 2 then subtract 4 and the result is 40 ​

Answers

22 is the correct answer!I solved it backwards:40 + 4 = 4444 ÷ 2 = 22Double-check:22 x 2 = 4444 - 4 = 40Please let me know if I am wrong.

Answer:

22

Step-by-step explanation:

22x4=44-4=40

What is 1390000000 in scientific notation?

Answers

Answer:

139 e7

Step-by-step explanation:

I'm not good at scientific notation but I think I'm getting better....

Answer:

1.39 x 10^9

Step-by-step explanation:

If F(x) = 2x +4, which of the following is the inverse of F(x)?
x4)
A. F'(x) = 7(x+4)
O B. F'(x) = 2(x+
C. F"(x) = 2(x == 4)
D. F'(x) = 7(x-4)

Answers

The answer would be B if it were x/2 -2

SWYK 16: Slope and Y-Intercept

The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?

Answers

10 is the slope and 15 is the y-intercept
10 is the slope and 15 is the y intercept because the formula is y=mx+b and the m stands for slope and the b stands for y intercept

William purchased some pillows for $36 they are 25% off what was the original price of the pillows

Answers:

A: $48
B: $46
C: $9
D: $44

Answers

Answer:

Something is wrong here, the correct answer is $45 which is not listed.

Step-by-step explanation:

36 x 1.25 = 45

It would be A: $48 because 25% of 48 is 12 and 12+36=48

A box has a length of 7 centimeter so,a width of 2 centimeters, and a height of 4 centimeters.The bottom layer of the box is filled with 14 unit cubes that measure one centimeter on each side.which expression represents the volume of the box in cubic centimeters

Answers

Answer:

V = (14)(4)   V = 56cm³

Step-by-step explanation:

The Volume is Base times Height

We are given that the base is 7cm by 2cm.

That is 14 cm²  (The cubes each have volume of 1 cm³, so the volume of that bottom row is 14cm³, technically, but ignore that for now.)

To find the volume, multiply the base times the height.

V = 14cm² × 4cm

V = 56cm³

8 - (-3) + 33 : (-3)

Answers

Answer:

Step-by-step explanation:

8-(-3)= 8+3+33=42

PLS HELP DUE TODAY,25 POINTS TO BRAINLIEST

Answers

Answer:

I think it’s H

Step-by-step explanation:

Answer:

The answer is H bacause it has the most number of colours


SOEMOME PLEASE HELO

Answers

Answer:

the secound one

Step-by-step explanation:

hope it helped:3

1. An observer 80 ft above the surface of the water measures an angle of depression of 0.7o to a distant ship. How many miles is the ship from the base of the lighthouse? (5280 ft = 1 mile)

Commercial airliners fly at an altitude of about 10 km. They start descending toward the airport when they are far away, so that they will not have to dive at a steep angle.


2 a) If the pilot wants the plane's path to make an angle of 3o with the ground, at what horizontal distance must the plane start descending?


b) If the pilot starts descending a ground distance of 300 km from the airport, what angle will the plane's path make with the horizontal?


3. A submarine at the surface of the ocean makes an emergency dive, making an angle of 21o with the surface. If it travels for 300 m along a downward path, how deep will it be?

Answers

Answer:

1. The distance of the ship from the base of the lighthouse is approximately 1.24 miles

2. a)The horizontal distance the plane must start descending is approximately  190.81 km

b) The angle the plane's path will make with the horizontal is approximately 18.835°

3. The depth of the submarine is approximately 107.51 m

Step-by-step explanation:

The

1. From the question, we have;

The height of the observer above the water = 80 ft.

The angle of depression of the ship from the observer, θ = 0.7°

Let the position of the observer be 'O', let the location of the ship be 'S', let the point directly above the ship at the level of the observer be 'H', we have;

[tex]tan(\theta) = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{HS}{OH}[/tex]

[tex]The \ horizontal \ distance \ of \ the \ ship, OH = \dfrac{HS}{tan(\theta) }[/tex]

HS = The height of the observer = 80 ft.

Therefore, we get;

[tex]The \ horizontal \ distance \ of \ the \ ship, OH = \dfrac{80 \, ft.}{tan(0.7^{\circ}) } \approx 6,547.763 \ ft.[/tex]

The distance of the ship from the base of the lighthouse ≈ 6,547.763 ft. ≈ 1.24 miles

2. The elevation of the plane, h = 10 km

The angle of the planes path with the ground, θ = 3°

Similar to question (1) above, the horizontal distance the plane must start descending, d = t/(tan(θ))

∴ d = 10 km/(tan(3°)) ≈ 190.81 km

The horizontal distance the plane must start descending, d = 190.81 km

b) If the pilot start descending 300 km from the airport, the angle the plane's path will make with the horizontal, θ, will be given as follows;

From trigonometry, we have;

[tex]tan(\theta) = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]

Where the opposite leg length = The elevation of the plane = 10 km

The adjacent leg length = The horizontal distance from the airport = 300 km

[tex]\therefore tan(\theta) = \dfrac{10 \, km}{300 \, km} = \dfrac{1}{3}[/tex]

[tex]\theta = arctan\left(\dfrac{1}{3} \right ) \approx 18.835^{\circ}[/tex]

The angle the plane's path will make with the horizontal, θ ≈ 18.835°

3. The angle at which the submarine makes the deep dive, θ = 21°

The distance the submarine travels along the inclined downward path, R = 300 m

By trigonometric ratios, we have;

The depth, of the submarine, 'd' is given as follows;

[tex]si(\theta)= \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{d}{R}[/tex]

∴ d = R × sin(θ)

d = 300 m × sin(21°) ≈ 107.51 m

The depth of the submarine ≈ 107.51 m

Meg wanted to split up her left over food into containers. She had 6 plates of food and wanted to split it into containers that held about 1 a plate each. How many containers did she need?

Answers

Answer:

she needs 6 containers

Answer:

6 containers

Step-by-step explanation:

Unless there's more to the question, it's 6.

If you have 6 plates, and each container fits 1 plate, you'd need 6 containers to hold all the food

7. The daily cost of production in a video game factory is calculated using c(x) = 400 + 25x, where x is
the number of complete video games manufactured. Which set of numbers best defines the domain of c(x)?
(1) integers
(2)positive real numbers
(3) positive rational numbers
(4)whole numbers

Answers

Answer:

(4) whole numbers

Step-by-step explanation:

Given function:

c(x) = 400 + 25xwhere x is the number of complete video games.

The complete video games can be expressed as positive integers or whole numbers, so the domain is whole numbers.

Correct choice is (4)

Answer:

Whole Number

Explanation:

Domain : The set of all the input values (i.e. the value of x ) in the function is called domain

The daily cost of production in a video game factory is calculated using c(x) = 400 + 25x

Cost expression : C(x) = 400 + 25x

Cost expression : C(x) = 400 + 25x

As x defines the number of complete video, since number of video cannot be negative.

1) Integers : integers are the numbers which can be positive, negative or zero, but cannot be a fraction

As, number of videos cannot be negative

so, x cannot be any integers

So, Integers is not the domain

2) Positive real numbers : Real numbers are the numbers which include both rational and irrational numbers.

As the x represent the complete number of video games, thus, x cannot be irrational

Hence, Positive real numbers is not the domain

3) Positive Rational Number : a number is expressed in the form of p/q then it is a rational number

The number of videos are in the complete number, so a fraction cannot be a complete number, thus, rational number cannot be a domain.

4) Whole Number : Whole numbers include natural numbers that begin from 1 onwards

As Numbers of videos are the complete number, and they are always positive, which is the defination of whole number, Domain is whole number

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