A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 60 child bikes and 6 adult bikes in a week? a No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 b No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 c Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 d Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Answer 1

The correct solution to the given inequalities is;

a No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

How to solve Inequality word Problems?

Let the number of child bikes be denoted as c.

Let the number of adult bikes be denoted as a.

For the building time of bikes, the inequality equation would be;

4c + 6a ≤ 120

For the testing time of bikes, the inequality equation would be;

4c + 4a ≤ 100

Checking the equations, for given 60 child bikes and 6 adult bikes in the week.

For the building of bikes,

( 4 × 60) + ( 6 × 6) ≤ 120

240 + 36 ≤ 120

276 ≥ 120 (Inequality not satisfied)

For the testing of bikes,

( 4 × 60 ) + ( 4 × 6 ) ≤ 100

240 + 24 ≤ 100

264 ≥ 100 (Inequality not satisfied)

Hence, the correct option is A.

Read more about Inequality Word Problems at; https://brainly.com/question/25275758

#SPJ1


Related Questions

Hauls Vegetable Market has the folloeing vegetables for sale.

Carrots cost 3.50$ per pound
Cucumbers cost 0.69$ per pound
Squash cost 2$ per pound

What will be the ckst for 2 1/2 pounds of carrots and 3/4 pound of squash cost​

Answers

Answer:

The cost of 2 1/2 pounds of carrots and 3/4 pound of squash is $ 10.25.

Step-by-step explanation:

Since Hauls Vegetable Market sells carrots that cost $ 3.50 per pound, cucumbers that cost $ 0.69 per pound, and squash that cost $ 2 per pound, to determine what will be the cost for 2 1/2 pounds of carrots and 3/4 pound. of squash the following calculation must be performed:

1/2 = 0.5

3/4 = 0.75

Carrots: 3.50 x 2.5 = 8.75

Squash: 2 x 0.75 = 1.50

8.75 + 1.50 = 10.25

Thus, the cost of 2 1/2 pounds of carrots and 3/4 pound of squash is $ 10.25.

5. A bag contains 21 red marbles and 29 blue marbles. A marble is picked at
random from the bag. What is the probability of picking a red marble?

Answers

Answer:

i dont know

Step-by-step explanation:

uhhh

Answer:

42% chance

Step-by-step explanation:

Since there are 21 red marbles and 29 blues ones, the total amount of marbles is 50. There are only 21 red marbles out of 50 marbles so there is a 21/50 chance that you will pick a red marble.

B= R/E - T, solve for E

Answers

R(B+T)=E because you first have to add T to both sides then multiply R to cancel out the division sign


Please help thank you

Answers

Answer:

x = 140

Step-by-step explanation:

Using the exterior angle rule ( an exterior angle of a triangle is equal to the opposite interior angles of a triangle )

x is the interior angle and the given angles ( 50 and 90 ) are the opposite interior angles

So

x = 50 + 90

50 + 90 = 140

x = 140

Note: there is a right angle ( indicated by the little square. A right angle has a measure of 90 degrees so that's where the 90 came from)

?? Anyone know what the answer to this is

Answers

9514 1404 393

Answer:

  (d)  7

Step-by-step explanation:

Put the number where x is and do the arithmetic.

  f(2) = 2(2²) -2 +1 = 2(4) -2 +1 = 8 -2 +1 = 6 +1

  f(2) = 7

helppppp thankkksssss

Answers

Answer:

1; -5; -14; -20; -26

Step-by-step explanation:

y=-3(2) +7

y= -6+7

y= 1

y=-3(4) +7

y= -12+7

y= -5

y=-3(7) +7

y= -21+7

y= -14

y=-3(9) +7

y= -27+7

y= -20

y=-3(11) +7

y= -33+7

y= -26

Answer:

In the equation, just replace the x with one of the numbers in the table, and solve the equation. It's that simple.

Have a feeling you lied about being in "college"

Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The mean concentration for both suppliers is the same, but you suspect that the variability in concentration may differ for the two companies. The standard deviation of concentration in a random sample of
n1=10
batches produced by company 1 is
s1=4.7
grams per liter, and for company 2, a random sample of
n2=16
batches yields
s2=5.8
grams per liter. Is there sufficient evidence to conclude that the two population variances differ? Use α = 0.05.

Answers

Answer:

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.

Step-by-step explanation:

As we suspect the variability of concentration F - test is applied.

n1=10    s1=4.7

n2=16      s2=5.8

And α = 0.05.

The null and alternate hypothesis are

H0: σ₁²=σ₂²       Ha:  σ₁²≠σ₂²

The null hypothesis is  the variability in concentration does not  differ for the two companies.

against the claim

the variability in concentration may differ for the two companies

The critical region F∝(υ1,υ2) = F(0.025)9,15= 3.12

and 1/F∝(υ1,υ2) = 1/3.77= 0.26533

where υ1= n1-1= 10-1= 9 and υ2= n2-1= 16-1= 15

Test Statistic

F = s₁²/s₂²

F= 4.7²/5.8²=0.6566

Conclusion :

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.

Use a calculator to approximate to expression to the nearest thousandth.
log, 3.8

Answers

Answer:

#3 1.92599941856

Step-by-step explanation:

A representative sample of 50 students from a high school is surveyed. Each student is asked what science class he or she
is taking
This table shows the responses.
Science Class
Physics
Chemistry
Blology
Earth Science
Health Science
Number of
Students
6
10
18
4
12
Select all of the statements that are valid based on the survey results..

Answers

I'm not sure what is means by valid, is there a picture you could include?

The statements that are valid based on the survey results are:

About 20% of the students are taking chemistry.

About twice as many students are taking health science than are taking physics.

For every 150 students we could predict that at least 18 of the students are taking physics.

Option A, B, and C are correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

About 20% of the students are taking chemistry:

To calculate the percentage of students taking chemistry, we divide the number of students taking chemistry by the total number of students surveyed and multiply by 100:

10/50 x 100% = 20%

Therefore, the statement "About 20% of the students are taking chemistry" is valid based on the survey results.

About twice as many students are taking health science than are taking physics:

The number of students taking health science is 12, and the number of students taking physics is 6. To see if twice as many students are taking health science than physics, we can compare the ratios:

Health science : Physics = 12 : 6 = 2 : 1

Since the ratio is 2:1, we can conclude that the statement "About twice as many students are taking health science than are taking physics" is valid based on the survey results.

For every 150 students, we could predict that at least 18 of the students are taking physics:

To make this prediction, we need to calculate the proportion of students taking physics based on the survey results:

6/50 = 0.12

To predict how many students are taking physics in a larger population, we can multiply the proportion by the size of the population:

0.12 x 150 = 18

Therefore, the statement "For every 150 students we could predict that at least 18 of the students are taking physics" is valid based on the survey results.

For every 25 students, we could predict that at least 4 of the students are taking Earth Science:

To make this prediction, we need to calculate the proportion of students taking Earth Science based on the survey results:

4/50 = 0.08

To predict how many students are taking Earth Science in a larger population, we can multiply the proportion by the size of the population:

0.08 x 25 = 2

Therefore, the statement "For every 25 students we could predict that at least 4 of the students are taking Earth Science" is not valid based on the survey results, as we would predict that at least 2 students are taking Earth Science, not 4.

Therefore,

The statements that are valid based on the survey results are:

About 20% of the students are taking chemistry.

About twice as many students are taking health science than are taking physics.

For every 150 students we could predict that at least 18 of the students are taking physics.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of
$5. Ann paid a total of $49.10.

Answers

Answer:

Ann went 21 miles in the taxi

Step-by-step explanation:

A ball is thrown directly upward from a height of 5 ft with an initial velocity of 24 ft/sec. The function s(t) = -16t^2+24t+5 gives the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height.​

Answers

Answer:

The maximum height is 14 feet and it will take 0.75 s to reach there.

Step-by-step explanation:

A ball is thrown directly upward from a height of 5 ft with an initial velocity of 24 ft/sec.

The function is :

[tex]s(t) = -16t^2+24t+5[/tex] ....(1)

It gives the height of the ball, in feet, t seconds after it has been thrown.

For maximum height,

s'(t) = 0

So,

-32t+24 = 0

t = 0.75 s

It will take 0.75 s to reach the maximum height.

Put t = 0.75 s in equation (1). So,

[tex]s(0.75) = -16(0.75)^2+24(0.75)+5\\\\s=14\ feet[/tex]

So, the maximum height is 14 feet and it will take 0.75 s to reach there.

Melody buys a pair of jeans that is priced at $14.95 before tax. (Tax rate is 8.95%). Is the final amount cheaper or more expensive than the original price?

Whoever answers correctly will get Brainliest!

Have an amazing day!! :)))

Answers

Answer:

More expensive

Step-by-step explanation:

The price will be about 16.29.

A scale drawing of an NFL god post uses a
scale of 2 inches = 5 feet. If the actual width
of the goal post is 182 feet, what is the width
of the goal post on the drawing?

Answers

It would be 455 inches because you divide 5/2 and it is 2.5 then you multiply it by 182 which is 455

Identify the need coordinates of the line segment M (10,5) and N (5,5) when it is rotated about 270 degrees clockwise

Answers

Answer:

280? srry if i wrong

Step-by-step explanation:

PLZ IF YOU DONT KNOW THE ANSWER DONT HELP MEE I HAVE TO PASS THIS SO I CAN PASS MATH THANK YOU VERY MUCH (The box number matches the questions number)


1) Which value is the same for box plots A and B?

A) Median


B) Range


C) IQR


D) Minimum


2. Which value is greater for box plot A than B?

A) Median


B) Range


C) IQR


D) Minimum


3. Which value is not the same for box plots A and B?

A) Median


B) Range


C) IQR


D) Minimum

Answers

1) Not sure. The only thing that is the same is the lower quartile but that’s not an answer choice. Maybe your teacher taught it differently.
2) D. Minimum
3) C. IQR

The sum of two numbers is -45. The difis -89. Find the numbers larger and smaller

Answers

Answer:

22,-89

Step-by-step explanation:

let the numbers be x and y .

x+y=-45

x-y=-89

add

2x=--134

x=-67

-67+y=-45

y=-45+67=22

How do I solve this???

Answers

Answer:

Step-by-step explanation:

Please help will give brainliest

Answers

Answer:

One-third of the volume

Step-by-step explanation:

Volume of cylinder = πr²h

Volume of cone = (1/3)πr²h

Find the measure of angle B.​

Answers

Step-by-step explanation:

C = 180 - 112 = 68°

A = 180 - 68 - 51 = 61°

B = 180 - 61 = 119°

Another way :

We know that B = C + 51 ==> B = 68 + 51 = 119°

Pretty face cosmetics earned $(1.26 x 10^6) in sales last year. write this number in standard form

Answers

Answer:

1,260,000

Explanation:

Using the calculator on any Windows computer, first put "1.26" in. After doing so, press the "exp" button that should be there if you're using the calculator on a Windows computer. After pressing that, put in "6", then press equals. After doing it correctly, you should get this answer.

quinn is playing in a trivia competition he earns 50 points for each correct response c he loses 25 points for each wrong response w. which expression represents Quinn's total points in the trivia competition​

Answers

Answer:

50c – 25w

Step-by-step explanation:

A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling
price.
Part A
What is the selling price, in dollars, of the book?
Enter your answer in the box.
$
Part B
A customer buys a different book that has an original selling price of $38. The bodk is discounted 25%.
The customer must pay a 6% sales tax on the discounted price of the book.
What is the total amount, in dollars, the customer pays for the discounted book?
Enter your answer in the box.
$

Answers

Answer:

The Part A answer would be 25% selling price. For Part B 10% would be the retail for the book.

Step-by-step explanation: 40% the less price 25% then next 25% less 10%.

PLEASE HELP ACED + +++++++++

Answers

Don’t click that link


Which list shows the numbers NOT in order from least to greatest?
4.036 < 4.08 < 42<4.201

3.09 < 3.1 < 3.507 < 3.9

6.4 < 6.51 < 6.387 < 6.995

7.315 < 7.38 < 7.406 < 7.5

Answers

Ansewer: C) 6.4 < 6.51 < 6.387 < 6.995

Explanation : 6.51 is greater then 6.387

Need the answer for x and y

Answers

Answer:

How many molecules of water are there in 10 lbs of water?

Step-by-step explanation:

Answer:

x = 15

AC = 95

Step-by-step explanation:

6x + 5 = 8x - 25

combine like terms:

2x = 30

x = 15

AC = 95

Which graph below shows a linear equation with a slope of 2 and a y-intercept of −2?

Answers

Answer:

the first one :)

Step-by-step explanation:

just trust me

Answer:

I posted a photo of your graph below.

Step-by-step explanation:

it should look like this.

PAST DUE DATE NEED DONE NOW! NO LINKS! HELP ME FIND THE EQUATION

Answers

To write an equation for this line, you first need to understand how to derive it.

Let's utilize slope-intercept form, as it's the easiest to understand compared to any other form for line functions:

y = mx + b

m: The slope of the line

b: The y-intercept (The point where the line is at the y-axis)

Now that we've defined our variables, how do we go about making the actual equation? Let's start off with the slope, m.

The slope is a measure of how high or low the line is. The number is a ratio between the rise and run of a slope. In other words, it is essentially [tex]\frac{rise}{run}[/tex]

Let's look back at the graph. In the time interval from 1 to 2 seconds, we see that the line rises by 22 feet. Because the time interval is only 1 second, the run is 1 second.

Therefore:

m = [tex]\frac{rise}{run}[/tex]

m = [tex]\frac{22}{1}[/tex]

m = 22

We now have the first variable of the equation.

y = 22x + b

What about b? As we established earlier, b is the value of coordinate y at the y-intercept. Essentially, to find b we need to know what the value of y is when the coordinate x is 0.

As you can see from the graph you made, the value of y when x is 0 is also 0. This makes sense, too. How can the cheetah travel distance at 0 seconds when it obviously hasn't started moving? We now know b = 0. Now, we have gotten all of the variables we need to make a full equation:

y = 22x + 0

y = 22x

If you'd like me to explain how I did anything, just ask!

- breezyツ

Answer:

Equation: y=22x + 0 (you can put 0 if you want)

Step-by-step explanation:

Okay, so this is set up as a y=mx+b equation meaning that m=rate of change and b=y-intercept. If a cheetah runs 22 feet per second which is x, that means that m=22. And if 1 second is equal to 22 feet then in 0 seconds they run 0 feet, which is your y-intercept. Another way to find the rate of change (m) is by using the equation y2-y1/x2-x1 or 44-22/1 in this case. This equation is usually written as y=22x.  Hope this helps!


3 by 5 ratio 8 by 9

Answers

Answer:

5:24

Step-by-step explanation:

Given data

3 by 5

=3*5

=15

8 by 9

=8*9

=72

Hence the ratio is

15:72

Equivalent to

5:24

PLEASE HELP!!! I GIVE 15 POINTS!
Flaws in a carpet tend to occur randomly and independently at a rate of one every 260 square feet. What is the probability that a carpet that is 7 feet by 14 feet contains no flaws?

Probability =
Enter your answer in terms of e.

Answers

Answer:

The probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.

Step-by-step explanation:

Given that flaws in a carpet tend to occur randomly and independently at a rate of one every 260 square feet, to determine what is the probability that a carpet that is 7 feet by 14 feet contains no flaws, the following calculation must be performed:

7 x 14 = 98

1/260 = 0.003

98 = 100

0.003 = X

0.003 x 100/98 = X

0.0039 = X

100 - 0.0039 = 99.996

Thus, the probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.

What are a and b when you write √-16 in the form a+bi, when a and b are real number?
A) a=0, b=-4
B) a=0, b=4
C) a=-4, b=0
D) a=4, b=0

Answers

On comparing, we get {a} = 0 and {b} = 4.

What is the general form of a complex number?

The general form of a complex number is -

z = a + ib

Given is the number as -

√-16

We can write the number √-16 in the form of (a + ib) as follows. We have -

√-16

√(- 1 x 16)

√(i² x 16)

√i² x √16

i√16

0 + i√16

0 + 4i

Therefore, on comparing, we get {a} = 0 and {b} = 4.

To solve more questions on complex number, visit the link -

brainly.com/question/30098550

#SPJ1

Other Questions
Why was the printing press important during the Renaissance? A. helped spread religion B. helped spread ideas throughout Europe and printed the first bible. C. helped people teach to argue about their ideas. D. gave priests the ability to take over other churches and steal their followers. Read the passage from Utopia. This was the only ground of that war in which they engaged with the Nephelogetes against the Aleopolitanes, a little before our time; for the merchants of the former having, as they thought, met with great injustice among the latter, which (whether it was in itself right or wrong) drew on a terrible war, in which many of their neighbours were engaged; and their keenness in carrying it on being supported by their strength in maintaining it, it not only shook some very flourishing states and very much afflicted others, but, after a series of much mischief ended in the entire conquest and slavery of the Aleopolitanes, who, though before the war they were in all respects much superior to the Nephelometer, were yet subdued; but, though the Utopians had assisted them in the war, yet they pretended to no share of the spoil. The purpose of this passage is to provide an What is a soliloquy? Why did Shakespeare include them in his plays? What is the slope-intercept equation of the following line? where are they from, what type of sentence tell me about yourself! please Determine if the given value is a solution of the inequality. Show your work. 7 2y > 3y + 13; y = -1 Evaluate.5^3 (64/8) + 10^2Enter your answer in the box. Eric buys a coffee table price d at $100. If the sales taxis 5%, what wil lbe the total cost including tax? Pls help me Im failing lolz :) Which of the following was the non- communist (Nationalist) leader during the Civil War in China?A. Chiang Kai ShekB. Go Chi MinhC.HirohitoD.Mao Zedong I dont know if this is correct !!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!! What is a hostile takeover? Can someone pls help me create the dialogues with this. Im realy struggling rn pls someone help. I tried but then I know it is wrong and it is for a grade so Im nervous. I will put brainliest to the person who answer first. Thank you! One of two methods must be used to produce expansion anchors. Method A costs $80,000 initially and will have a $15,000 salvage value after 3 years. The operating cost with this method will be $30,000 per year. Method B will have a first cost of $120,000, an operating cost of $8,000 per year, and a $40,000 salvage value after its 3-year life. At an interest rate of 8% per year, the present worth of Method B is closest to: Earthquakes produce two kinds of seismicwaves: he longitudinal primary waves (calledP waves) and the transverse secondary waves(called S waves). Both S waves and P wavestravel through Earth's crust and mantle, butat different speeds; the P waves are alwaysfaster than the S waves, but their exact speedsdepend on depth and location. For the pur-pose of this exercise, we assume the P wave'sspeed to be 8560 m/s while the S waves travelat a slower speed of 5760 m/s.If a seismic station detects a Pwave andthen 30.5 s later detects an S wave, how faraway is the earthquake center?Answer in units of km.Mi Asap help me please ! i need help 8th grade math (1) Is climate change causing more severe storms? In a 2017 pre-Hurricane Irmasurvey, 486 out of 1,080 adults answered in the affirmative. In a 2017 post-Hurricane Irma survey, 546 out of 1,050 answered affirmatively. Establish a 90%Confidence interval estimate of the difference (pre- minus post-hurricane) betweenthe proportions of adults pre-Hurricane Irma and post-Hurricane Irma who believeclimate change is causing more severe storms. WHO KNOWS HOW TO DO A TOPIC SENTENCE FOR WHAT MAKES AMERICA UNIQUE ? ASAP PLZZZ HELP MEE