You're a manager in a company that produces rocket ships. Machine A and Machine B both
produce cockpits and propulsion systems. Machine A ran for 22 hours and produced 3 cockpits
and 5 propulsion systems. Machine B ran for 44 hours and produced 6 cockpits and 10
propulsion systems.
Assume both machines produce cockpits at the same rate and both produce propulsion systems
at the same rate.

Answers

Answer 1

Step-by-step explanation:

so, what's the question ?

I don't need to "assume" that both machines have the same rate. it is clearly written there :

A produces in 22 hours 3 cockpits and 5 propulsion systems.

and B produces in twice the time (44 hours) twice the results (6 cockpits, 10 propulsion systems).

that means they have exactly the same production rate for both products.

so, this is confirmed. but what should we do now with this information ?

Answer 2

Answer:

C - No; the system has many solutions

Step-by-step explanation:

I just got it right on khan.


Related Questions

a map has a scale of 1:1000.
i)
What distance on the ground (in meters) is represented on the map as
(a) 2cm (b) 7.6cm?
ii)
What distance on the map represents
(a) 100m (b) 2.6km?

Answers

(a) The distance on the ground represented 2 cm on the map  is 2000 cm.

(b) The distance on the ground represented 7.6 cm on the map  is 7600 cm

It is a technique wherever we discover worth|the worth} of one unit from the worth of multiple units and also the value of multiple units from the worth of one unit

It is given that a map has a scale of 1:1000 which means that 1 cm of the map represents 1000 cm on the ground .

i) (a) Using unitary method , we get

1 cm on map is equivalent to = 1000 cm on the ground

 2 cm on map is equivalent to  = 2 × 1000

                                                      = 2000 cm on the ground

(b) Using unitary method , we get

1 cm on map is equivalent to = 1000 cm on the ground

 7.6 cm on map is equivalent to  = 7.6 × 1000

                                                      = 7600 cm on the ground

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What would happen to a cell if the transport of materials across its membrane could not take place

Answers

Answer:

If our cells couldn't control what crossed their membranes, either no molecules would make it across, or they'd be travelling willy-nilly and the internal environment would always be in flux.

4. Randall's monthly water bill from April to July is listed in the table below. What was the percent
increase in his bill from May to July?

Answers

The percent increase in his bill from May to July is 32.29%.

What is the percent increase in the bill?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages is %.

The percent increase in his bill from May to July = (bill in July / bill in May)^(1/number of months) - 1

(136.50 / 78)^(1/2) - 1 = 32.29%

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10. Over the summer, Maria read 2 books per week, and Janet read 4 books per week. Prior to the summer, Maria had read 28 books, and Janet had read 16 books. After w weeks, they had each read the same number of books. Write an equation to represent this situation. Then, solve the equation. Need a equation and solution.

Answers

6 WEEKS

2x + 28 = 4x + 16

x = 6

convert into power notation (-2197)​

Answers

-2197^1 !!!!!!!!!!!!!!!!

What is 8x99 in expression form

Answers

In expression form, 8(99) is 8 ( 100 - 1 ) = 792, by basic algebra.

What is basic algebra?

Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.

Now, Given:

8 x 99

We know 99 = 100 - 1.

Thus, by basic algebra, 8 ( 99) = 8 (100 - 1)

8 ( 100 - 1) = 8(100) - 8(1)

8( 100 - 1) = 800 - 8 = 792.

Hence, In expression form, 8(99) is 8 ( 100 - 1 ) = 792, by basic algebra.

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MAYA WALKED 34 1/2 MILES . KALEB WALKED 24 1/2 MILES. HOW MANY MILES WS WALKED IN TOTAL

Answers

Answer:

Two halves make a whole

34 + 24 + (1/2 + 1/2)

34 + 24 + 1

34.50 plus. 24.50 is equal to 59

(1.28 x 10^5) + (1.13 x 10^3) in scientific notation

Answers

Answer:

10 ( 12913 ) or 12913 * 10^1

Step-by-step explanation:

(1.28 x 10^5) + (1.13 x 10^3)

--------------------------------------------

1.28 = 128/100 = 128/10^2

1.13 = 113/100 = 113/10^2

-------------------------------------------

(128/10^2 * 10^5) + (113/10^2 * 10^3)           <---- 10^5/10^2 = 10^3

(128 * 10^3) + (113 * 10^1)

10^1 ( 128 * 10^2 + 113)

10^1 ( 12800 + 113)

10 ( 12913 )

Find the area of the shaded region. Help please!

Answers

Answer:

Around 73cm

Step-by-step explanation:

314.16 is the area of the whole circle

shaded is 85/365 (around 23 percent)

12. Ben and Jerry invest $50 000 and $75 000 respectively in the same bank.
If the rate is 8%, how many whole years will it take for Ben to cross the amount of money that Jerry would have in 2 years?

Answers

Jerry: $75000 x 1.08 = $81000 x 1.08 = $87480 after 2 years

Ben: $50000 x 1.08 = $54000 x 1.08 = $58320 x 1.08 = $62.985.6 x 1.08 = $68024.45 x 1.08 = $73466.40 x 1.08 = $79343.72 x 1.08 = $85691.21 x 1.08 = $92546.51 after 8 years.

It would take 7 whole years to cross the amount that Jerry would have in 2 years.


In A PQR, QT is
an altitude...QT=


(1) 10
(3) 4
(2) 8
(4) 6

Answers

Answer:

20 psectacles and scranbled

Please guys help me please with this question please please please please ​

Answers

Answer:

x = 18

Step-by-step explanation:

Given:

160 total learners34 play soccer and rugby40 play soccer and hockey42 play hockey and rugby36 play soccer only72 play hockey8 play rugby only28 play none of these sportsx play all three sports

As "x" learners play all three sports, the Venn diagram should have three overlapping circles labelled soccer (S), rugby (R) and hockey (H).

x play all three sports:  Label the area that's in S, R and H with x.

8 play rugby only:  Label the area that is R only with 8.

36 play soccer only:  Label the area that is S only with 36.

28 play none of these sports:  Place 28 outside the three circles.

34 play soccer and rugby:  Place "34 - x" in the area that's in S and R.

40 play soccer and hockey:  Place "40 - x" in the area that's in S and H.

42 play hockey and rugby:  Place "42 - x" in the area that's in H and R.

72 play hockey

72 is the total for all the sections of H.

⇒ H = 72 - x - (40 - x) - (42 - x)

⇒ H = 72 - x - 40 + x - 42 + x

⇒ H = x - 10

Place "x - 10" in the area that is H only.

The total number of learners is 160.

Therefore, to find x, sum the areas of the Venn diagram and equal to 160:

⇒ 36 + 8 + 28 + 34 - x + x + 40 - x + 42 - x + x - 10 = 160

⇒ 36 + 8 + 28 + 34 + 40 + 42 - 10 - x + x - x - x + x = 160

⇒ 178 - x = 160

⇒ x = 178 - 160

⇒ x = 18

Finally, substitute x = 18 into the Venn diagram.

In its second year of operation, a local internet provider's profits were $171,500. If this amount was 666% of the company's first-year profits, find the first-years profits

Answers

The first year profit of the local internet provider was $ 22,389.04.

What was the profit of a company in its second year of operation?

According to the statement, we find that the profit of the company in its second year of operation is 666 % greater than its profit in its previous year, that is, the profit in its second year of operation is 7.66 times the profit in its first year of operation. Then, the missing profit is found by using the following arithmetic expression:

x = 171,500 / 7.66

x = 22,389.04

The first year profit of the local internet provider was $ 22,389.04.

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if you add all the prime numbers between 2 and 33 and then multiply it by itself y

Answers

Answer:

24964

Step-by-step explanation:

hope this works - btw this is not including 2 and 33

Amy paid $66.94 for a pair of running shoes during a 15%-off sale. What was the regular price?
...

Answers

$66.94 = 85%
$66.94/85 = $0.78752941 x 100 = $78.75

6. What will be the speed of the train if it takes 10 hours to cover the 7. A bus travels at a speed of 40 km/h for 25 minutes and then at a speed of 60 km/h for next 25 minutes. Find out the total distance covered by the bus. ​

Answers

the total distance covered by the bus is 41.67 km in 50 minutes.

For first 25 minutes:

Speed of the bus = 40 km / hr.

Time = 25 minutes

Distance = Speed × Time

Distance = 40 km / hr. × 25 / 60 hr.

Distance = 16.67 km

For the next 25 minutes:

Speed of the bus = 60 km / hr.

Time = 25 minutes

Distance = Speed × Time

Distance = 60 km / hr. × 25 / 60 hr.

Distance = 25 km

Total distance covered = 16.67 km + 25 km

Total distance covered = 41.67 km.

Therefore, we get that, the total distance covered by the bus is 41.67 km in 50 minutes.

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The sum of
5
9
and six times a number is equal to
2
subtracted from seven times the number. Find the number.

Answers

ANSWER:

x=61

STEPS FOR SOLVING LINEAR EQUATION :

59+6x=7x−2

Subtract 7x from both sides.

59+6x−7x=−2

Combine 6x and −7x to get −x.

59−x=−2

Subtract 59 from both sides.

−x=−2−59

Subtract 59 from −2 to get −61.

−x=−61

Multiply both sides by −1.

x=61

Hope it helps!!!

;}

Answer:

answer to the question is x=61

PLEASE HELPb) Darragh is inflating a balloon in the shape of a sphere. When fully inflated, the balloon has a radius of 15 cm. (i) Find the volume of Darragh's balloon when it is fully inflated. Give your answer in cm³, in terms of it.
solutions pls​

Answers

We need to know the formula for volume of a sphere to solve this question.The volume of Darragh's balloon when it is fully inflated is 3532.5[tex]cm^{3}[/tex]

A sphere can be called a circle in 3D, for example a ball is a sphere. There can be solid spheres and hollow spheres, a balloon is a hollow sphere because it has air inside it. The volume of a sphere can be calculated irrespective of it being a solid or a hollow sphere. The volume of a sphere is the capacity the sphere has, incase of a balloon the volume of a balloon means it's capacity to hold air in it. The formula for volume of a sphere is

V=[tex]\frac{1}{3}[/tex]π[tex]r^{3}[/tex] where V is the volume, r is the radius of the sphere

In the question it is given that radius of the sphere when fully inflated is 15cm

V=[tex]\frac{1}{3}[/tex]×3.14×15×15×15=3532.5 [tex]cm^{3}[/tex]

Therefore we found the volume of the balloon when fully inflated to be 3532.5[tex]cm^{3}[/tex].

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A cheetah can run 70 miles per hour. What is this speed in feet per hour?

Answers

the speed of the Cheetah in feet per hour will be 369600 feet per hour when the speed if 70 miles per hour.

Speed of the Cheetah = 70 miles / hour

1 mile = 5280 feet

Now, we will convert 70 miles into feet.

For this, we will use the operation of multiplication.

We will multiply 5280 to 70 to convert the miles into feet.

So, the speed of the Cheetah will become:

Speed of the Cheetah = 5280 × 70 / hour.

Speed of the Cheetah = 369600 feet / hour.

Therefore, we get that, the speed of the Cheetah in feet per hour will be 369600 feet per hour when the speed if 70 miles per hour.

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PLEASE HELP Line Segment AD=11x+10.6. Find the length of AB and CD. Show all work

Answers

Answer:

AB=11.4

CD=24.4

Step-by-step explanation:

Since AD=11x+10.6, then AB+BC+CD = AD.

Hence,

2x+3+21+7x-5=11x+10.6

Combine like terms:

9x+19 = 11x+10.6

Subtract 9x on both sides:

19 = 2x+10.6

Subtract 10.6 on both sides:

2x=8.4

Divide by 2 on both sides:

x=4.2

Since AB=2x+3, AB=11.4

Since CD=7x-5, CD=24.4

Identify whether the graph displays a linear or nonlinear function. Explain why. Graph B On a coordinate plane, Graph B curves up into quadrant 1. Graph B displays a

Answers

The attached graph displays a linear function

How to identify whether the graph displays a linear or nonlinear function?

The graph that completes the question is added as an attachment

On the line of the graph, we have the following equation

y = 2x - 3

The above equation takes the form of a linear equation (i.e. y = mx + c)

This means that the graph displays a linear function

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Graph B displays a

✔ nonlinear function; the rate of change is not constant.

Step-by-step explanation:

The speed of the wind, w, is at most 56 miles per hour. The translation is

Answers

Answer:

56mph

Step-by-step explanation:

i hope this is the answer you were looking for

Explain how to do -12 - (-98) + 7 - 3

Answers

Answer: 90

Step by step explanation:
Since we know a negative minus a negative equals a positive then
-12 - -98 = 86
Then 86 + 7 = 93
And finally 93 - 3 = 90

Hope this helps mate
the answer should be 90!!

The following expression gives an approximate value of the total average credit card debt in a U.S. household (in dollars)
t
years after 1995.

417
t
+
5850


Use this expression to predict what the total average credit card debt was or will be in the year 2014.

Answer: In the year 2014, the total average credit card debt for a U.S. household will be (or was)
dollars.

Answers

In the year 2014, the total average credit card debt for a U.S. household was 13,773 dollars.

What is an expression?

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

How to predict the total average credit card debt in 2014?

In order to predict the total average credit card debt in 2014, we would determine the number of years (t) from 1995 to 2014 and then substitute the value into the given expression as follows:

Number of years, t = 2014 - 1995

Number of years, t = 19 years.

Substituting the years into the expression, we have;

Total average credit card debt = 417t + 5850

Total average credit card debt = 417(19) + 5850

Total average credit card debt = 7,923 + 5850

Total average credit card debt = $13,773.

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David wants to pack 574 cereal bars into bags of 10 and bags of 8. The number of bags of 8 is 2 more than the number of bags of 10. How many bags of 10 and 8 can David pack all the cereal bars into?

Answers

574 cereal bars will be placed in bags of 10 and bags of 8 by David. The number of bags of 8 is 33 and number of bags of 10 is 31.

Given that,

574 cereal bars will be placed in bags of 10 and bags of 8 by David. Two more bags of eight than bags of ten make up the total.

We have to find how many 10 and 8-bag sets of cereal bars can David fit.

Let us take,

x be number of bags of 8 and y be number of bags of 10.

So, we can write as

8x+10y=574→equation(1)

x=y+2→equation(2)

Taking the x value form equation(2) and putting in equation (1).

We get,

8(y+2)+10y=574

8y+16+10y=574

18y+16=574

18y=574-16

18y=558

y=558/18

y=31

We got y=31 substitute y value in equation(2).

x=31+2

x=33

Therefore, the number of bags of 8 is 33 and number of bags of 10 is 31.

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find derivative from first principle:
x² tanx​

Answers

Answer:

f'(x) = 2.x.tan(x) + x²/cos²(x)

Step-by-step explanation:

f(x) = x².tan(x)

=> f'(x) = (x²)' . tan(x) + x². (tan(x))'

= 2x.tan(x) + x² . 1/cos²(x)

=> f'(x) = 2.x.tan(x) + x²/cos²(x)

Convert the following quantities to the indicated units.
24 grams per cubic centimeter to how many pounds per cubic inch?

Answers

24 grams per cubic centimeters equals 0.867 pounds per cubic inches

How to convert the quantities to the indicated units?

The quantity (x) is given as:

x = 24 grams per cubic centimeters

1 gram equals 0.00220462 pounds

So, we have:

x = 24 * 0.00220462 pounds per cubic centimeters

Evaluate

x = 0.05291088 pounds per cubic centimeters

1 cubic centimeters equals 0.0610237 cubic inches

So, we have

x = 0.05291088 pounds per 0.0610237 cubic inches

Rewrite as

x = 0.05291088/0.0610237 pounds per cubic inches

Evaluate

x =0.867 pounds per cubic inches

Hence, 24 grams per cubic centimeters equals 0.867 pounds per cubic inches

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Combine like terms to simplify the expression:

12x-3(3x-5)+24

Answers

Answer:

3(x+13)

Step-by-step explanation:

use the distributive property to multiply -3 by

3x -5

12x -9x + 15 + 24

then

combine 12x and -9x to get 3

add 15 + 24 to get 39

The study of Euclidean geometry has led to the development and acceptance
of other non-Euclidean types of geometry.
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

Dinesh has a goal of keeping his administrative tasks below 10% of his weekly hours. In which week(s) did he meet this goal? Be sure to show your work, list the percentages in the chart below, and answer the question. Administrative Hrs Total Hours

Answers

Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.

How are the percentages determined?

The percentages of administrative tasks are computed by dividing the administrative hours worked by the total hours worked each week.

Percentages are ratios or portions of a variable in the whole number.

Data and Calculations:

               Administrative Hrs     Total Hours Worked  Admin %   Goal Met?

Week 1             4.25                          40 hours              10.625%       No

Week 2            2.57                          40 hours                6.425%       Yes

Week 3            3.83                          40 hours                9.575%       Yes

Week 4            3.40                         40 hours                 8.500%      Yes

Thus, Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.

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Question Completion:

               Administrative Hrs     Total Hours Worked  Admin %   Goal Met?

Week 1             4.25                          10 hours

Week 2            2.57                           8 hours  

Week 3            3.83                           8 hours

Week 4            3.40                           8 hours

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