It is known that a laptop company's average production is given by P(t) = (150t) / (3t+20), where

t is the time (in days). How many days will it take the company to produce 30 laptops?

Answers

Answer 1

Answer:

10 days

Step-by-step explanation:

Step one:

given that the expression for the company's average production is

[tex]P(t) = (150t) / (3t+20)[/tex]

Required:

t, when P=30

Step two:

substituting we have

30=150t/3t+20

cross multiply we have

30(3t+20)=150t

90t+600=150t

collect like terms

600=150t-90t

600=60t

divide through by 60

t=600/60

t=10 days

it will take the company 10 days


Related Questions

(x-5)²+2y³(x-5)+y[tex]{6}[/tex]

Answers

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[tex]( {x - 5})^{2} + 2 \times ( x - 5 ) \times ( {y}^{3} ) + ({ {y}^{3} })^{2} = \\ [/tex]

[tex]( \: {(x - 5) + {y}^{3} } \: )^{2} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Write an equation of a line that passes through (-3, 5) and (-7, 5).

Answers

Answer:

y=5

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 5-5)/( -7 - -3)

   = ( 5-5) / ( -7+3)

  = 0/-4

The slope is 0

This means it is a horizontal line

Horizontal lines are in the form

y =

The y coordinate is 5

y=5

what is 8 divided by 3/5

Answers

Answer:

13 1/3. have a great day!! :D

Step-by-step explanation:

To solve the equation, you first need to multiply 8 by 3/5's reciprocal, which is 5/3. Reciprocal basically means to flip the fraction. By multiplying 8 by 5/3 you'll get 40/3, which you can simplify to 13 1/3.

use the grid 0.55+ 0.29?

Answers

Answer:

It Is 0.84

Step-by-step explanation:

0.55

0.29 +

______

0.84

Hope that helps...

Brainliest??!! :-) (*_*) :-0 :-D :D

Solve -2(5x – 3) = 41.

Answers

Answer:

Divide both sides by the numeric factor on the left side, then solve.

Exact Form:

x=−7/2

Decimal Form:

x=−3.5

Mixed Number Form:

x=−3 1/2

Step-by-step explanation:

Answer:

- 3.5

Step-by-step explanation:

hope this helps :)

A gas tank holds 16 1/2 gallons of fuel. If you used 7 1/4 gallons of fuel yesterday and 3 1/2 gallons of fuel today, how many gallons of fuel are left in the tank?

Answers

Answer:

5 3/4 gallons of fuel left in the tank

Step-by-step explanation

16 1/2 - 7 1/4 = 9 3/4

9 3/4 - 3 1/2 = 5 3/4

How do the final lines of “A Blessing” emphasize the author’s peaceful tone?

1 The final two lines, in which the speaker states, “I would break into blossom,” indicate that flowers blossom in the spring.
2 The final two lines, in which the speaker states, “I would break into blossom,” indicate the feeling of beauty and growth from contact with the horses.
3 The final two lines, in which the speaker states, “That if I stepped out of my body,” indicate the feeling of excitement when watching horses run.
4 The final two lines, in which the speaker states, “That if I stepped out of my body,” indicate the feeling of death and dying.

Answers

Answer:

4

Step-by-step explanation:

4

Which function family does f(x)=5(x-2)2 + 3 belong to?

Answers

Answer:

Quadratic

Step-by-step explanation:

The type of quadratic function in the question is in vertex form.

Quadratic is the right answer

Please help!

5x-21 > 15

A. x<-1 or x > 5
B. -1 C. x < -5 or x > 5
D. -5

Answers

answer: x < -1 or x > 5

hope that helps

Help please!!!!!!!!!!​

Answers

Answer:

A)Two times the quantity of seven less than a number equals thirty-three

Given q(x)=3x and r(x)=x2.

What is (r∘q)(2)?
a. 36
b. 10
c. 12
d. 24

Answers

Answer:

36

Step-by-step explanation:

(r∘q)(2)=

= ((3x)^2(2)

=(3*2)^2

=6^2

=36

how much sugar is in a 1 l bottle of soda

Answers

Answer:

Step-by-step explanation:

It is about 52 grams of sugar in one bottle of soda.

Answer:

It contains a 108 grams of sugar

Why is it important to read division problems carefully before giving the answer

Answers

Answer:

Because, like with any problem, it is possible to make mistakes. With division, if you place a number in the wrong order or forget to remove a negative sign, the answer will obviously be wrong.

Step-by-step explanation:

The sum of a number g squared and 4 is greater than or equal to −5.

Answers

Answer:

g^2 + 4 > -5

Step-by-step explanation:

sum implies addition so add it with 4

i can’t put the equal to thing on here but there is supposed to be a line under the greater than symbol

Answer:

[tex]g\geq +/- 3i[/tex]

Step-by-step explanation:

Using clues given in the problem, we can set up a solvable inequality.

A number g squared: [tex]g^{2}[/tex]

The sum of a number g squared and 4: [tex]g^{2}+4[/tex]

Is greater than or equal to: [tex]g^{2}+4\geq[/tex]

Greater than or equal to -5: [tex]g^{2}+4\geq-5[/tex]

Isolate [tex]g[/tex]:

[tex]g^{2}\geq -9[/tex]

Solve for [tex]g[/tex]:

[tex]\sqrt{g^{2}}\geq \sqrt{-9}[/tex]

This^ looks bad because of the negative, but as I'll show you in the next step it can be split up and you will use the value [tex]i[/tex], or [tex]\sqrt{-1}[/tex].

[tex]g\geq \sqrt{9} \sqrt{-1}[/tex]

[tex]g\geq +/-3i[/tex]

I hope this helps!

PLEASE HELP ME
15 POINTS

Gabriela is weighing quarters on a scale. She weighs various numbers of quarters, n, and
records their total weight, w, in grams. Find the ratio of the weight of the quarters to the
number of quarters for all three columns of the table. Express your answer using decimals.

Number of quarters, n 4,10,24

Tirol weight, w 22,55,132

Answers

The ratio of the weight of the quarters to the number of quarters will be 11: 2

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.

We have been given that Gabriela is weighing quarters on a scale. They weigh various numbers of quarters, n, and record their total weight, w, in grams.

Number of quarters, n; 4,10,24

Tirol weight, w;  22,55,132

The ratio of the weight of the quarters to the number of quarters will be;

w: n

22 : 4 = 11 : 2

Also, 55: 10

11: 2

Again,

132: 4

11: 2

Hence, The ratio of the weight of the quarters to the number of quarters will be 11: 2

Learn more about ratios here:

brainly.com/question/186659

#SPJ1

Carly can paint 6/7 of a picture in 3/14 of an hour how many pictures can they paint in a full hour

Answers

28/7 which is equivalent to 4 painting in a full hour, this is because Carly can paint 2/7 in 1/14 of an hour multiply the 2 times 14 and get 28/7 or 4 which is you’re answer

Answer:

4 paintings in a full hour

Work:

Carly painted 6/7 of a picture in 3/14 hours:

6/7=3/14

Which means Carly painted 2/7 of a picture in 1/14 hours:

2/7=1/14

We need to find how many paintings she can paint in 1 full hour, or 14/14 of an hour, how do you get from 1/14 to 14/14? You do multiplication:

1/14 x 14 = 14/14

but there is a rule that says what you do to one side of the equation, you need to do it to the other side too so:

2/7 x 14=1/14 x 14

28/7=14/14

28/7=4  

Help please! Due today
Solve: |x|-7<15

Answers

Answer:

No Solution

Step-by-step explanation:

Answer:

pretty sure its

0.466666

Step-by-step explanation:

Will mark as brainliest if correct!!!!!

Answers

Answer: the answer would be F

Step-by-step explanation:

A hobby store pays $20 wholesale for drones and marks them up 40%. What is the retail price of each drone?

Answers

Answer:

$28.00

Step-by-step explanation:

20 x 1.4

Answer:

$28

Step-by-step explanation:

To find the retail price you have to find 40% of 20 and then add that value to 20.

To find 40% of 20 let's convert 40% into decimal form: 0.4

Then you multiply: 20 * 0.4 = 8

Now you add 8 to the original 20: 20 + 8 = 28

The retail price of each drone is $28.

I hope this helps :)

Match the following.
Given A = (1, 2, 3, 4, 5) B = (2, 4, 6) C = (1, 3, 5)

Answers

Answer:

u have to put the pic of it then only we can understand this please put a pic

Find the value of the expression when b= 9 c= 5 and d=10 ............ ½d + c² - b

Answers

Answer:

1/2d+c^2-b = 21

Step-by-st ep explanation:

= 1/2(10) + 5^2 -9

= 5 + 25 - 9

= 30 - 9

= 21

Local Savings Bank has a $35 overdraft fee. On Friday, Mr. Baratheon
deposited his paycheck of $368.92 for a total account balance of
$712.34. The next morning, his wife wrote a check for $1,000.00 for a
new refrigerator and stove. The check cleared the bank by the end of the
day. What is the current balance in his account?

Answers

Answer:

-287.66

Step-by-step explanation:

-4/5 divided by -2

Pls help

Answers

Answer:

-2/5 or -0.40

Step-by-step explanation:

Answer:0.4

Step-by-step explanation:

2.Larry's car travels 230 miles on 10 gallons of fuel. What is the ratio of miles to
gallons for Larry's car?
A 10 Miles to 1 Gallon
B 10 Gallons to 1 Mile
<
23 Miles to 1 Gallon
D 23 Gallons to 1 Mile

Answers

Answer:

D

Step-by-step explanation:

If he travels 230 miles on 10gallons of fuel, then he will travel 23 miles on 1 gallon of fuel. So it is 230 gallons to one mile.

An airplane flew 2400 miles in 4 hours if the plane for the same number of miles each hour how many miles it fly in 1 hour

Answers

Answer:

600?

Step-by-step explanation:

you do 2400÷4 which would be 600 for each hour

Tell whether 20 is a factor or multiple of the number 10, 20, 30.

Answers

Multiple cause it’s not a factor
20 is a factor of...
10
20
I’m not sure about 30 but probably not

Anna is x years old, her sister Jane is y years younger. What will the sum of there ages be in 3 years. SORRY IM DUMB

Answers

You are not dumb. No one is dumb. Einstein failed math in high school.

Anna is x years old.

Jane is y years younger.

This means the Jane is x - y years old.

In three years, Anna will be x + 3 years old.

In three years, Jane will be (x - y) + 3 years old.

Let S = the sum of their ages in 3 years.

S = x + 3 + (x - y) + 3

S = 2x + 6 - y

Got it?

The graph shown below represents the relationship between the number of cookies and the cost of the cookies that a bakery sells. What is the unit rate and what does it represent? Y 13 12 10 9 ME Cost ($) B 12 14.06L 8 10 12 14 16 18 20 22 24​

Answers

Answer:

[tex]Rate = \$0.5[/tex] per cookie

Every cookie is sold at $0.5

Step-by-step explanation:

See attachment for complete question

Required

Determine the unit rate

To solve this, we simply take any corresponding values of Cost of cookies and number of cookies

When

Cost = $2

Number = 4

[tex]Rate = Cost/Number[/tex]

[tex]Rate = \$2/4[/tex]

[tex]Rate = \$0.5[/tex] per cookie

Pick another corresponding values

When

Cost = $6

Number = 12

[tex]Rate = Cost/Number[/tex]

[tex]Rate = \$6/12[/tex]

[tex]Rate = \$0.5[/tex] per cookie

Hence, the unit rate is $0.5 per cookie

What it represents is that: Every cookie is sold at $0.5

I gotchu all. Download the file and read what's inside I hope it makes you feel better if you're having a bad day :>

Answers

have a good day !!!!

When Brandon went bowling, it cost $4.95 per game, plus a one-time fee to rent the shoes. Brandon played 5
games and paid $32. Write and solve a linear equation to find the cost to rent the shoes.

Answers

7.25 the shoes I think
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