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 20 child bikes and 6 adult bikes in a week.

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

Answers

Answer 1

9514 1404 393

Answer:

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

Step-by-step explanation:

Build times are 4 hours for a child's bike and 6 hours for an adult's bike. The number of build hours cannot exceed 120. This gives the first inequality:

  4c +6a ≤ 120

Test times are 4 hours each. The number of test hours cannot exceed 100. This gives the second inequality:

  4c +4a ≤ 100

This pair of inequalities matches choices A and C.

When we use c=20 and a=6, these become ...

  4(20) +6(6) = 116 ≤ 120 . . . true

  4(20) +4(6) = 104 ≤ 100 . . . false

The order cannot be built because the test time constraint cannot be met. This matches choice A.

A Bicycle Manufacturing Company Makes A Particular Type Of Bike. Each Child Bike Requires 4 Hours To

Related Questions

Do less Republicans (group A) then Democrats (group B) favor the government investing billions of dollars to improve the country's train system? One thousand Republicans and one thousand Democrats were asked if they favored spending billions to improve the country's train system. How would we write the alternative hypothesis?
A. Ha: pA - pB does not equal 0
B. Ha: pA - pB < 0
C. Ha: pA - pB > 0
D. Ha: pA - pB = 0

Answers

Answer:

I don't understand at all

1. Name a decimal between 0.2222 and 0.2223.

2. if you laid 4 million bills end to end, how long (in miles) would that be? (use 6.14 inches for the length of a single bill. round your answer to one decimal place.)
2a. how long (in miles) would 4 billion dollars be? ( Round answer to one decimal place.)

3. what base is c in this statement?
695 base ten = 852 base x

4. order the numbers to smallest to largest.
3/11, 0.027, 0.27, -13

Answers

Step-by-step explanation:

You should be breaking this up

One

Decimal between 0.2222 and 0.2223 would be something like 0.22225

Two

1 mile = 5280 feet

1 mile = 5280 feet * 12 = 63360 inches

4 miles = 253440 inches

answered on my cell phone. I can't really do this.

ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN
Susie wants to paint the outside of her dollhouse, but she will need to buy a special type of acrylic paint. If each bottle of acrylic paints covers 25 square feet, how many bottles of acrylic paint will berbeded to paint the dollhouse? *​

Answers

Answer:

4 bottles

Step-by-step explanation:

First u find the surface area of the pyramid

3.5 * 3 / 2 = 5.25

You multiply that by 4 since there are 4 sides

5.25 x 4 = 21

Then u find the area of the rectangle

3 * 4 = 12 per rectangle

12 * 5 (sides of the rectangle) = 60

add them together

60+21 = 81

81/25 = 3.24

round to the biggest next whole number

4

This exercise involves the formula for the area of a circular sector. The area of a circle is 700 m2. Find the area of a sector of this circle that subtends a central angle of 3 rad.

Answers

Answer:

334.4 m²

Step-by-step explanation:

The formula for the area of a sector is given as:

1/2 × r² × θ

Where θ = Central angle

Area of a Circle = 700 m²

The formula for the area of a circle = πr²

r = Radius of a circle

r² = Area / π

r = √Area / π

r = √700/π

r = 14.927053304 m

Approximately, r = 14.93 m

Therefore, the area of the sector

= 1/2 × r² × θ

= 1/2 × 14.93² × 3 rad

= 334.35735 m²

Approximately, Area of the sector = 334.4 m²

PLEASE HELP!!!

WILL MARK BRAINLIEST!!!

Solve for X and Y in the rectangle.

Thank you!m

Answers

Y = 20

X = 70

We know Y is 20 because both triangles are the same size. 20 is in the opposite corner to Y. The right corner is 90 degrees. There are 180 degrees in a triangle. To get your answer you are going to add 20 and 90 to get 110 then you will subtract 110 from 180.

The following data are monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007, obtained from a random sample of such apartments advertised at rent.com in July 2007:
500, 549, 569, 575, 585, 600, 630, 680, 705, 790, 845
The mean of these eleven rent prices is $638.91 ,and the standard deviation is $105.93 .
1. Determine the standard error of the sample mean.
2. Describe what the population mean µmeans in this context.
3. Determine a 95% confidence interval for µ.
4. Write a sentence interpreting what this interval means.
5. Would you expect about 95% of the studio and one-bedroom apartments in Harrisburg in July 2007 to have a rent price within this interval? Explain.

Answers

Answer:

Part 1

SE= 31.94

Part2;

The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.

Part 3:

576.31, 701.51

Part4:

This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.

Part 5:

Yes.  out of 100 , 95 of the intervals will contain the true value of population mean u .

Step-by-step explanation:

Part 1

The standard error is calculated using the formula

SE  = S/√n

where s is the standard deviation of the sample = $ 105.93

and n is the sample size= 11

Putting the values we get

SE= $ 105.93/ √11= 31.939

Part2;

The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.

Part 3:

The z∝/2 value for 0.05 is  ± 1.96

The 95 % confidence interval will be given by

x` ±z ∝/2 * s/√n

Putting the values

638.91 ± 1.96 * 31.94

638.91 ± 62.6006

576.31, 701.51

Part4:

This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.

Part 5:

Yes when the hypothesis testing is done and the sample mean is found to be equal to the population mean then it means that the population mean is to be found in this interval; 95% .

Or out of 100 , 95 of the intervals will contain the true value of population mean u.

a. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals

Answers

Answer:

a =2 alternate angles

b=3 alternate angle

c=180 supplementary angle

d180 angle of a triangle

What is the degree of 1

Answers

Answer:

28

Step-by-step explanation:

As one can see, the given diagram has two perpendicular lines. This means that two lines intersect each other at a right angle, therefore all of the resulting angles are (90) degree angles. This is indicated by one of the boxes around the angle. Moreover, this means that the angle that measures (62) degrees, plus angle (1) forms a (90) degree angle. Using this information, make an equation and solve for the measure of angle (1);

62 + (m<1) = 90

Inverse operations

62 + (m<1) = 90

m<1 = 28

Find the value of x. Round to the nearest 10th

Answers

Answer:

44.94

Step-by-step explanation:

Name this triangle by its sides and angles. This is a(n) ____________________ triangle.
a triangle with one right angle and three non-congruent sides

Answers

right triangle

Hope this helps! :)

It’s a Right triangle

The volume of a sphere is 904.32 mm3. What is the approximate volume of a cone that has the same height and a circular base with the same diameter? Use 3.14 for π and round to the nearest hundredth.

Answers

Answer:

[tex]V_c=452.16\ mm^3[/tex]

Step-by-step explanation:

Given that,

The volume of a sphere is 904.32 mm³.

The volume of a cone that has the same height and circular base with the same diameter is:

[tex]V_c=\dfrac{1}{3}\pi r^2 \times 2r=\dfrac{2}{3}\pi r^3[/tex]

The volume of a sphere with the same radius is:

[tex]V_s=\dfrac{4}{3}\pi r^3=2\times \dfrac{2}{3}\pi r^3[/tex]

So, the volume of sphere is :

[tex]V_c=\dfrac{V_s}{2}\\\\V_c=\dfrac{904.32 }{2}\\\\V_c=452.16\ mm^3[/tex]

So, the volume of the cone is [tex]452.16\ mm^3[/tex].

4) A piece of hematite contains 70%
iron. If the hematite weighed 60g,
how much iron would there be?
6) A survey of 250 trees in a small

Answers

Answer:

42g

Step-by-step explanation:

70% of 60 = 42

Two letters from the word HAPPY are randomly chosen with replacement. What is the probability of choosing an H or P on either selection?
answer in decimal

Answers

Answer:

0.5 I believe

Step-by-step explanation:

What is -6(9-9v)
Please only answer with the answer

Answers

Answer:

v = 1

Step-by-step explanation:

-6(9-9v)

-6*9 = -54

-6*(-9v) = 54v

-54+54v = 0

+54 +54

54v = 54

divide both sides by 54

v = 1

Rearrange terms
-6(9-9v)
-6(-9v+9)

Distribute
-6(-9v + 9)
54v - 54

Then, -6(9-9v) equals to 54v - 54

Get brainiest if right?

A freight train was supposed to travel 1300 miles in 50 hours.
When the train went 0.4 of this distance, it was delayed by 4
hours. What should the new speed of the train be to arrive on
time?

Answers

Answer:

30 mph

Step-by-step explanation:

train stopped after 520 miles

780 miles to go

stopped at 20 hours

stopped for 4 hours

34 hours used up...

26 hours left

780 miles to go

780 miles/26 hrs = 30 m/hr

What is the slope of the line shown below?
10
O A. 2
5
(3,6)
OB. 4
O c. -4
-5
10
15
5
(1,-2)
-5
O D. 2
-10

Answers

Answer:

B

Step-by-step explanation:

Slope Formula

6 - (-2) / 3 - 1

8 / 2 = 4

The slope of the graph is 4.

Option B is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The coordinates from the graph are:

(1, -2), and (3, 6)

Now,

Slope.

= (6 -(-2)) / (3 - 1)

= (6 + 2) / 2

= 8/2

= 4

Thus,

The slope of the graph is 4.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ5

what is the value of a?​

Answers

Hope this help!!!

Have a nice day!!!

The school has a population of 500 students.
Supposed 200 students play soccer, 170 students play basketball, and 100 play both soccer and basketball.

1) How many students didn’t participate in either sport?
2) How many students played only soccer or only basketball?
3) How many students play either sport?
4) How many students played both soccer and basketball?

PLEASE HELP TY!

Answers

Answer:

1. 30

2. 370

3. 470

4. 100

Step-by-step explanation:

for one, add the amount of students that play sports and subtract it from 500. for two, add the number of people that only play soccer and only play basketball. for three, take away the 30 people from the 500 kids that don't play. for four, it says 100 people play both.

How do I uses these

Answers

Answer:

To understand a graph you need to interpret a graph or a chart, read the title, look at the key, read the numbers and lables. then study the graph to understand what it shows. read the title graph or chart. the title tells what information is being displayed.

Step-by-step explanation:

Solve the equation for the variable b: ab - 2c = 4

Answers

Answer:

b = (4+2c)/a

Step-by-step explanation:

ab - 2c = 4

Add 2c to each side

ab - 2c+2c = 4+2c

ab = 4+2c

Divide each side by a

ab/a = (4+2c)/a

b = (4+2c)/a

Answer:

b = 4 + 2c / a

Step-by-step explanation:

ab - 2c = 4

ab - 2c + 2c = 4 + 2c ..( add 2 both side)

ab = 4 + 2c

ab / a = 4 + 2 c / a ...( Divide each side by a)

b = 4 + 2c / a

GIVING OUT BRAINLIEST HELP ME PLSS !!

Answers

Answer:

C) 5.66

Step-by-step explanation:

For a 45-45-90 triangle, the length of each leg length (not including the hypotenuse) is congruent to each other. If 8=y√2, then y=8/√2=4√2=5.66

Answer:

5.66

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45 =adjacent /hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] =y/8

[tex]\frac{1}{\sqrt{2} } *8=y[/tex]

[tex]\frac{8}{\sqrt{2} }=y[/tex]

[tex]4\sqrt{2} =y[/tex]

5.66=y

What is the solution to the equation blow?



x + 6 = 24

Answers

18 because X is the missing number that we need to find. What’s the opposite of addition? Subtraction.
24-6=X
X=18

Answer this guys please

Answers

[tex]\longrightarrow{\green{A.\:-8}}[/tex] ✔

Step-by-step explanation:

[tex]f(x )= - {x}^{2} + 1[/tex]

Plugging in the value "[tex]x\:=\:-3[/tex]" in the above expression, we have

[tex]f( - 3) = - ({ - 3})^{2} + 1 \\ \\ = - ( - 3 \times - 3) + 1 \\ \\ = - (9) + 1 \\ \\ = - 9 + 1 \\ \\ = - 8[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Problem:

Evaluate this:

[tex] \quad \quad \quad \quad \tt{f(x) = { - x}^{2} + 1} \: \: when \: \: x = - 3[/tex]

Let's try!

[tex] \quad \quad \quad \quad \tt{ ⟶f(x) = { - x}^{2} + 1}[/tex]

[tex] \quad \quad \quad \quad \tt{⟶f(-3) = {- (-3)}^{2} + 1}[/tex]

[tex] \quad \quad \quad \quad \tt{⟶ f( - 3) = { - (9) + 1}}[/tex]

[tex]\quad \quad \quad \quad \tt{⟶ f( - 3) = { - 9 + 1}}[/tex]

[tex]\quad \quad \quad \quad \tt{ ⟶f( - 3) = { -8}}[/tex]

Hence, The answer is:

[tex]\quad \quad \quad \quad \boxed{\tt{ \color{green}f( - 3) = { - 8}}}[/tex]

_________

#LetsStudy

In a certain year, 86% of all Caucasians in the U.S., 77% of all African-Americans, 77% of all Hispanics, and 84% of residents not classified into one of these groups used the Internet for e-mail. At that time, the U.S. population was 64% Caucasian, 11% African-American, and 10% Hispanic. What percentage of U.S. residents who used the Internet for e-mail were Hispanic

Answers

Answer:

Percentage of U.S resident who used the Internet for e-mail were Hispanic=9.19%

Step-by-step explanation:

We are given that

Population was Caucasian=64%

Population was African-American=11%

Population was Hispanic=10%

Let the population of U.S=10000

Now,

Population was Caucasian=[tex]\frac{64}{100}\times10000=6400[/tex]

Population was African-American=[tex]\frac{11}{100}\times 10000=1100[/tex]

Population was Hispanic=[tex]\frac{10}{100}\times 10000=1000[/tex]

Population of others=10000-(6400+1100+1000)=1500

Population of Caucasians used the Internet for e-mail=86% of 6400

Population of Caucasians used the Internet for e-mail=[tex]\frac{86}{100}\times 6400[/tex]

Population of Caucasians used the Internet for e-mail=5504

Population of African-American used the Internet for e-mail=77% of 1100

Population of African-American used the Internet for e-mail=[tex]\frac{77}{100}\times 1100=847[/tex]

Population of Hispanics used the Internet for e-mail=77% of 1000

Population of Hispanics used the Internet for e-mail=[tex]\frac{77}{100}\times 1000=770[/tex]

Population of others used the Internet for e-mail=84% of 1500

Population of others used the Internet for e-mail=[tex]\frac{84}{100}\times 1500=1260[/tex]

Total population used the Internet for e-mail=5504+847+770+1260

Total population used the Internet for e-mail=8381

Percentage of U.S resident who used the Internet for e-mail were Hispanic

=[tex]\frac{Population \;of \;Hispanics \;used \;the \;Internet \;for \;e-mail}{total\;population\; used \;the \;Internet \;for\; e-mail}\times 100[/tex]

Percentage of U.S resident who used the Internet for e-mail were Hispanic=[tex]\frac{770}{8381}\times 100[/tex]

Percentage of U.S resident who used the Internet for e-mail were Hispanic=9.19%

What is the vertex of the absolute value function below?

Answers

Answer:

(-3,2)

Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0

I really need help please

Answers

Answer:

11

Step-by-step explanation:

3/7*14=6

5/8*8=5

6+5=11

Find mZ3 if mZ5 = 145º and mZ4 = 45°

Answers

9514 1404 393

Answer:

  C.  100°

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  ∠5 = ∠3 +∠4

  145° = ∠3 +45° . . . . fill in the given values

  100° = ∠3 . . . . . . subtract 45° from both sides

There are 6 chef assistants and 2 servers. How many staff are working there? ​

Answers

Answer: 8

Step-by-step explanation:

are you in elementary school

Answer:

8 staff

Step-by-step explanation:

6 +2 = 8 There are 8 staff working there.

If this is done a different way explain or lmk? Hope you are having a wonderful day!! Of not it'll get better I promisee! <33 :))

Any help to solve this one?



Answers

Answer:

Step-by-step explanation:

[tex]81^{1/2}[/tex]

[tex]3^4*{1/2}[/tex]

[tex]3^{4/2}[/tex]

[tex]3^{2}[/tex]

9

[tex]-16^{3/4}[/tex]

[tex](-2)^{4 *3/4}[/tex]

[tex](-2)^{12/4}[/tex]

[tex](-2)^{3}[/tex]

-8

PLEASE HELP WILL MARK IF YOU HELP!!

Answers

Answer:

3. 107,5

4. R = 44

   RM = 35 (isosceles triangle)

Answer:

for the first one answer is OLE is 107.5 degree

and for the second one,

m R is 44 and RM is 35 cm

Other Questions
Which of the following types of stars is cooler that an orange main sequence? Do both roots and leaves store food? Ken is working on a project for social studies. He has a piece of poster board that needs to be divided equally into 1/3 foot sections. The poster board is 4 feet wide. How many sections will ken have on the poster board? Given that there were 4 Heads in the first 7 tosses, find the probability that the 2nd Heads occurred at the 4th toss. Give a numerical answer. Who was responsible for the Holocaust? A. Saddam HusseinB. Kim Jong-UmC. Benito MussoliniD. Adolph Hitler 12. Which of these was a criticism of Bush's No Child Left Behind Act? Simply the following 5 1/3 -7 5/6 + 6 1/4 what is the area of Ghana? 1. Cmo podras responder? Qu deberas hacer antes de ir devacaciones?Debera hacer la maletaDebero hacer la maletaDeberan hacer la maleta PLEASE PLEASE HELP ME WITH THIS DUE IN 10 minutes!!! Ayuda marking brainliest if x+3/3 = y+2/2 then x/3 = Find the midpoint of the line segment with the given endpoints. (-1,1) (5,-5) Will Mark Brainlest help step by step. (The ratio of two men present age is 3:4 and this will be 7:9 after 4 years what are their present age) Learning Task 1. Provide what is asked. Write your answer onanother sheet of paper.A Give the common strategies in promoting linen productsWrite your answer in a sheet of pad paper.1.2.3. Which equation represents the slope-intercept form of the line below?.y-intercept = (0, 2)slope = -O A. y=-x-2O B. y=-3x+2C. y=2x-3 What is reduction potential? Describe the role of Stephen F. Austin in introducing slavery into Texas Jane, Shen, and Chris sent a total of 152 text messages during the weekend. Shen sent 4 times as many messages as Chris. Jane sent 8 more messages thanChris. How many messages did they each send? Solve: 3m-2(m-3)=1 Please and thank you