The number of hours needed to assemble computers varies directly as the number of computers and
inversely as the number of workers. If 16 workers can assemble 40 computers in 10.25 hours, how many
workers are needed to assemble 68 computers in 16.40 hours?

Answers

Answer 1

The number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

let

number of hours = h

number of computers = c

number of workers = w

h = k × c / w

where,

k = constant of proportionality

h = 10.25

w = 16

c = 40

h = k × c / w

10.25 = k × 40 / 16

cross product

10.25 × 16 = k × 40

164 = 40k

k = 164/40

k = 4.1

If

c = 68

h = 16.40

h = k × c / w

16.40 = 4.1 × 68 / w

cross product

16.40w = 4.1 × 68

16.40w = 278.8

w = 278.8 / 16.40

w = 17 workers

Therefore, the number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

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Related Questions

Given the function below, if h(x) = -1, find x.
h(x) = -6 + 20

Answers

Answer:

This problem has been solved! See the answer. Suppose f and g are differentiable functions with the values shown in the table below. For each of the following functions h, find h ' (6). x. f ( x) g ( x) f ' ( x) g ' ( x)v

Step-by-step explanation:

Please help me :) triangles, and i need help Brainliest to correct answers!!! NO LINKS

Answers

Answer:

Step-by-step explanation:

ur mom

What is the domain and range of the function f(x)=17?

Answers

D: All Real Numbers R: [17,17]
First, rewrite as y=17. This will look like a horizontal line.

Domain is all x values represented. If the line is infinately horizontal, the domain is all real numbers

Range is all y values. The only y value is 17. So u can write range as y=17. I don’t know what the other dude was doin with brackets. It’s simply y=17

9=[tex]9=\frac{2-4t}{t+3}[/tex]

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's Solve for t ~

➢ [tex] \sf q = \dfrac{2 - 4t}{t + 3} \\[/tex]

➢ [tex] \sf{q(t + 3) =2 - 4t }\\[/tex]

➢ [tex] \sf{qt + 3q} = 2 - 4t\\[/tex]

➢ [tex] \sf{qt + 4t = 2 - 3q }\\[/tex]

➢ [tex] \sf{t(q + 4) = 2 - 3q}\\[/tex]

➢ [tex] \sf{t = \dfrac{2 - 3q}{q + 4} }[/tex]

Answer:

t = (2 - 3q)/(q + 4).

Step-by-step explanation:

We cross multiply:

q(t + 3) = 2 - 4t

qt + 3q = 2 - 4t

qt + 4t = 2 - 3q

t(q + 4) = 2 - 3q

t = (2 - 3q)/(q + 4).

cos^2(90)+cos^2(120)+cos^2(135)+cos^2(150)+cos^2(180)​

Answers

Answer:

97

Step-by-step explanation:

In May, Ali was charging
$20 for individual
basketball lessons and in
August started charging
$25. What percent did
she increase her prices?

Answers

Answer:

25%

Step-by-step explanation:

25 - 20 = 5

20/4 = 5

100 / 4 = 25

Answer:

20+25%=25% Ali Has increased 25%

what is the slop of 2x-5y=10

Answers

Answer:

2/5

Step-by-step explanation:

Subtract 2x from both sides

-5y = -2x + 10

Divide both sides by -5

y = 2/5 x -2

The slope is 2/5.

The answer is 2/5

Subtract 2x from both sides

Then divide by -5.

Mark makes bouquet arrangements. He puts 1 tulip for every 4 daisies in each arrangement. The table below shows the number of tulips and daisies Mark uses for different arrangements.

Arrangement Daisies Tulips
1 4 1
2 8 2
3 12 3
4 16 4
How many daisies and tulips will there be in the 7th arrangement?

Answers

Following the proportions given in the table, it is found that in the 7th arrangement, there will be:

28 daisies.7 tulips.

From the table, it can be seen that for the nth arrangement, the number of daisies and tulips follows a proportional relationship, that is:

There are 4n daisies.There are n tulips.

Hence, in the 7th arrangement, there will be:

28 daisies, as 4 x 7 = 28.7 tulips, as n = 7.

You can learn more about proportions at https://brainly.com/question/24372153

Write an exponential function to model each situation. Find each amount after the

specified time.


A population of 1,236,000 grows 1.3% per year for 10 years

Answers

The formula would be y = 1,236,000(1.3)^t

After 10 years, the population would grow to become 17,039,309.59 people. You can round up to 17,039,310 people if the question asks to round to the nearest person.

k + a/6 = 3k help b4 i cry my eyes out :’/

Answers

Answer:

Hope I explain it well!

Step-by-step explanation:

k + a/6 = 3k

well, I am not sure if we need to find the a, or the k, so lets find both!

--

First the a:

k + a/6 = 3k (subtract k)

a/6 = 2k (Multiply by 6)

a = 12k

--

Last, the k:

k + a/6 = 3k (Subtract k)

a/6 = 2k (Divide by 2)

a/12 = k

--

There you go, I hope you figure it out <3

The volume of the triangular prism is 54 cubic units.
What is the value of x?
03
O 5
O 7
9
3x
what is the answer

Answers

Answer:

3 units

Step-by-step explanation:

I hope it helps you!

PLEASE HELPPPP

4(x−2 1/4)=−3.7

Answers


First let’s convert the mixed numbers to improper fractions 2 1/4 =9/4
Then u get 4(X-9/4) =-3.7
Now your gonna divide both sides by four
4(X-9/4) over 4 = -3.7 over 4
4/4 =1 …X=-9/4
-3.7/4 = -0.925
Now you’re going to add 9/4 to each side
X-9/4+9/4=-0.925 +9/4
-9/4 + 9/4 =0 (X)
Now you have just -0.925 and nine fourths
I converted 9/4 —> 2.25
Then u still have -0.925
So add 2.25+-0.925 u get ur X which is 1.325 (this is ur answer)

There are 8 tanks and 5 barrels. Each container has 45 liters of
oil. What is the total amount of oil in all the containers?
liters

Answers

Answer:

585

Step-by-step explanation:

Since there are 8 tanks and 5 barrels, you must add the two together,

[tex]8+5=13\\[/tex]

Then since there are 45 liters of oil in each containe, you have to multiply,

[tex]13x45=585[/tex]

There are 585 liters of oil

factor the expression 14x - 21 using the GCF

Answers

you have to factor out the 7 because it goes into both 14 and 21. then you put the quotients from dividing into parentheses.

What is the value of the expression below when z=
5?

5z - 4

Answers

Answer:

Well we’ll just substitute

So 5z-4

And z is 5

5*5-4

25-4=21

The value is 21

The value is 21 I hope it’s right

Tiffany babysits to earn extra money. She charges a fee of $15 per hour for one child, and then an added $30 overall for each additional child. If she wants to make a total of $150 this week, babysitting a family with 4 children, what is the minimum number of hours she can work for?

Answers

Answer: Minimum for $150: 2 Hours

Step-by-step explanation: First, Tiffany charges $30 per additional child. If she babysits for 4 children, you do 30 x 4, which is equal to 120. That would be the cost for the children. Now, if she charges $15 PER HOUR, then you just add up $15 + $15, which is $30, and you add that $30 to the $120. Which is $150. There you have it. If this is wrong, correct me please!

The volume of a cylinder is 600 pi cm cubed. The diameter of a base of the cylinder is 10 cm. What is the height of the cylinder?

Answers

Answer:

V = B * H      area of base * height

B = pi * (D / 2)^2 = pi * 5^2 = 78.5 cm^2

H = V / B = 600  cm^3 / 78.5 cm^2 = 7.64 cm

please tell me how do I answer questions. I repeat I need to know how to answer the questions? tell me please

Answers

Answer:

So there is an answer button, and there is a + sign. Once you click on it, you will be able to answer questions.

Step-by-step explanation:

1. Ask a teacher if you don't know answer to a certain subject you are studing

2.  Practice makes perfect

3 . Discuss and work with partner

Round 23.4456 x 6.66 to the nearest ten (my brain isn't cooperating)

Answers

Answer:

160

Step-by-step explanation:

23.4456 x 6.66=156.147696 respectively.

156.147696 to the nearest ten is 160.

Use Pythagorean theorem to find right triangle si
Find the value of x in the triangle shown below.
C
9
3

Answers

9.5 i believe, 9 x 9 = 81
3 x 3 = 9
81 + 9 = 90
square root of 90 = 9.5

The length of x is 3√10 units.

What is Pythagoras Theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c. Pythagoras, a Greek philosopher who was born around 570 BC, is remembered by the theorem's name. The theorem has likely been proved the most times of any mathematical theorem using a variety of techniques.

As per the given data:

Perpendicular = 9 units

Base = 3 units

Using Pythagoras theorem to find x (hypotenuse):

[tex]x^2 = 9^2 + 3^2\\x^2 = 81 + 9\\x^2 = 90\\x = \sqrt{90}\\x = \sqrt{9\times10}\\x = 3\sqrt{10}[/tex]units

Hence, the length of x is 3√10 units.

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#SPJ7

x+1=x+2 is there a solution

Answers

Answer:

No Solution

Step-by-step explanation:

This is impossible. x+1 is not x+2

Variables are always the same: x=x

Answer:

No their isn't

Step-by-step explanation:

If f(x)=2x+1 and g(x)= x² +3 find g(f(x)) and simplify completely.

Answers

Answer:

4x²+ 4x +4

Step-by-step explanation:

g(f(x)) = (2x + 1)² + 3

= 4x² + 4x + 1 + 3

= 4x²+ 4x +4

Answer:

(4x^2) + (4x) + 4

Step-by-step explanation:

Let a = f(x) = 2x+1

g(a) = a^2 + 3 = (2x+1)^2 + 3 = 4x^2 + 4x + 4

Marvin has read 8% of the novel he started reading last Saturday. Which decimal is equivalent to the percentage of the novel Marvin has read?

Answers

Answer:

0.8 or 0.08 i believe

Step-by-step explanation:

hope this helps!

Help me with this fractions work

Answers

Step-by-step explanation:

a. 5 2/5 can be converted to 27/5

Multiply the numerators and denominators of 7/9 and 27/5

You will get: 189/45

This can be simplified to 21/5

b. 1 3/4 can be converted to 7/4 and 4 1/6 can be converted to 25/6

Using the same process as before, you get: 175/24

2x3 + 8x2 + 10x + 4 all potential roots and actual roots

Answers

Answer:

potential: {±1/2, ±1, ±2, ±4}actual: [-2, -1, -1}

Step-by-step explanation:

The Rational Root Theorem tells you that potential rational roots are ...

  ±(divisor of constant term)/(divisor of leading coefficient)

Ignoring the fact that all of the coefficients can be reduced by a factor of 2, straightforward application of this theorem suggests possible rational roots might be ...

  ±{1, 2, 4}/{1, 2} = {±1/2, ±1, ±2, ±4} . . . potential roots

Examination of the graph of the function shows the actual roots are ...

  x = -2, -1 (multiplicity 2)

_____

Additional comment

Descartes' rule of signs eliminates positive real roots from the list. (There are no coefficient sign changes, hence no positive real roots.)

Division of the polynomial by 2 gives x³ +4x² +5x +2 = 0, which only suggests rational roots of -2 or -1. The answer to the question of potential roots depends on the extent to which you refine the list above.

four water bottles can hold 8 gallons of water how much water can ten big water bottles hold

Answers

Answer:

20 gallons of water.

Step-by-step explanation:

4 water bottles = 8 gallons

1 water bottle = 2 gallons

X = Number of Water bottles

N = Gallons Per Water Bottle

X * N

10 * 2

20

Help meee please thank you will mark brainlist….

Answers

Answer:

It's 47 because it's an isosceles triangle.

Step-by-step explanation:

Answer:

F is equal to 47

Step-by-step explanation:

G is equal to F

Solve the system of equations.
fequations with
on: potato chips
15x + 3y = -3
equations with
n: -3x-4y=-2 &
2 = -y +3
2=
stems of
with
Y =

Answers

Answer:

y = - 3, x = 6

Step-by-step explanation:

15x + 31y = - 3

x = - y + 3

15(- y + 3) + 31y = - 3

-15y + 45 + 31y = - 3

16y + 45 = - 3

16y = - 48

y = - 3

x = - (- 3) + 3

x = 3 + 3

x = 6

Answer:

x = 6, y = -3.

Step-by-step explanation:

15x + 31y = -3

x = -y + 3

Substitute x = -y + 3 in the first equation:

15(-y + 3) + 31y = -3

-15y + 45 + 31y = -3

16y = -3 - 45 =-48

y = -3.

So x = -(-3) + 3 = 6.

Examine Kaitlyn’s steps for solving the system of equations. â€"3x 2y = 8 3x 2y = â€"6 Step 1: 4y = 2 Step 2: y = 2 Step 3: â€"3x 2(2) = 8 Step 4: â€"3x = 4 Step 5: x = â€"1. 333 Kaitlyn found the solution to be (1. 3, 2). Is her solution correct? Explain. Yes, she correctly solved the system of equations. No, she made an error in step 1. The y variable should have been eliminated when adding the system of equations. No, she made an error in step 2. She should have found y = 0. 5. No, she substituted y into the wrong equation to solve for x in step 3.

Answers

The error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

Given the system of linear equations:

-3x + 2y = 8 ---> eqn. 1

3x + 2y = -6 ---> eqn. 1

First add both equations together:

Step 1: 4y = 2

Next, divide both sides by 4:

Step 2: y = 2/4

y = 0.5

Kaitlyn got y = 2 instead of 0.5 in this second step. The solution she would get will be incorrect since an error has occurred here.

Therefore, the error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

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A shopkeeper bought 24 bottles of fruit juice for $63 dollars.
She sold them for $2.95 each.
Calculate her percentage profit or loss.

Answers

Answer:

0.325

Step-by-step explanation:

$63 divide by 24 you'll get 2.625

then $2.95 minus 2.625 you'll get 0.325

Her profit is 33 cents because she selling them for 2.95 each and 63/24=2.62 and
2.95 - 2.62 is 0.33 so her profit is 0.33 cents and loss is 2.62
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