If each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production

Answers

Answer 1

Answer:

The number of instruments assembled in 7.5 hours are 450 n/t.

Step-by-step explanation:

The number of instruments assembled in t minutes = n

the number of instruments assembled in 1 minute = n / t

Total time = 7.5 hours = 7.5 x 60 = 450 minutes

So, the number of instruments assembled in 450 minutes are

[tex]\frac{n}{t}\times 450\\\\\frac{450 n}{t}[/tex]  


Related Questions

In MQN, m a.
Solve for x. Show all work.
b. Find the measure of <1. Show all work.

Answers

Answer:

were is the problem

Step-by-step explanation:

Find the measure of the indicated angle

Answers

Answer:

Step-by-step explanation:

This is an isosceles triangle because 2 of the sides are the same length (marked with single slashed through them). The Isosceles Triangle Theorem tells that if 2 sides are congruent to each other, then the angles opposite those sides are congruent to each other as well. That means that the bottom left angle measures 68. According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180, so:

x = 180 - 68 - 68 so

x = 44

p(x),f(x),g(x) are parabolas with positive coefficient, each pair of parabolas got common rational root, how to proof that p(x)+f(x)+g(x) have a rational root?

Answers

Answer:

[tex]{ \tt{p(x) : {y}^{2} = 4ax}} \\ { \tt{f(x) : {(y')}^{2} = 4a {x}'}} \\ { \tt{g(x) : {(y'')}^{2} = 4ax''}} \\ { \bf{since \: they've \: a \: common \: root}} : \\ {y}^{ 2} = {(y')}^{2} = {(y'')}^{2} \\ = > { \tt{4ax + 4ax' + 4ax''}} \\ = 4a(x + x' + x'') \\ common \: root \: is \: 4a \\ { \tt{ \infin {}^{ - } \leqslant 4a \leqslant \infin {}^{ + } }}[/tex]

Express sin U as a fraction in simplest terms​

Answers

Answer:

4/5

SOH-CAH-TOA

sin = opposite / hypotenuse

Hypotenuse = sqrt(18^2 + 24^2)  = 30

sin 24/30 = 4/5

Step-by-step explanation:

How do I solve for X HELP

Answers

Answer:

x = 4 degrees

Step-by-step explanation:

The two angles have the same measurement. They are opposite angles.

26x + 7 = 31x - 13

Group like terms:

26x - 31x = -13 - 7

-5x = -20

x = 4

Check if you want to make sure.

Step-by-step explanation:

[tex]here \: is \: your \: solution : - \\ \\ both \: angles \: are \: equal \: (vertical \: anges) \\ \\ 26x + 7 = 31x - 13 \\ \\ solving \: the \: equation \: \\ \\ 26x - 31x = - 13 - 7 \\ \\ - 5x = 20 \\ \\ x = -20 \div 5 \\ \\ x = \: 4 \: degrees \: \: \: \:(Answer ✓✓✓( \\ \\ \huge\mathcal\blue{happy \: life (. ❛ ᴗ ❛.) }[/tex]

cual es el 75% de 160¿

What is 75% of 160¿

Answers

Answer:

120

Step-by-step explanation:

calculator

a. 32
b. 44
c. 22
d. 8

Answers

Answer:

sorry I don't know

Step-by-step explanation:

.........

Find the volume.
Use = 3.14
cone
h = 14 in.
r = 9.9 in.
in 3
h
Type the correct answer rounded to two
decimal places, pls help it would be so appreciated

Answers

Answer:

Volume of the cone given rounded to two decimal places is 1415.65in

Explanation:

Volume of a cone

[tex] = \pi {r}^{2} \frac{h}{3} [/tex]

[tex] = (3.14)( {9.9}^{2} )( \frac{14}{3} )[/tex]

[tex] = 3.14 \: \times \: 98.01 \: \times \: 4.6[/tex]

[tex] = 1415.65644[/tex]

Domain and rang of these

Answers

Answer:

Domain: {-3, -1, 1}

Range: {-1, 2, 4, 5}

Step-by-step explanation:

The domain is all the x-values, and the range is all the y-values. When listing values, repeated values are only written down once.

The prime factorization of K is: K = 3x5x7. List all the composite factors of K.

Answers

Answer:

15, 21, 35, 105

Step-by-step explanation:

A composite number is a positive integer that has more than two different factors. For example, composite number include 4, 6, 8, 9, 10, 12, 14, 15, 16, 18...etc.

So, if we multiply 3x5x7=105  

All the factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. So we just need to figure out the factors that are composite which are

15, 21, 35, 105

The list all the composite factors of K : 15, 21, 35, 105

What is prime integer?

"It is an integer that has only two different factors 1 and that integer itself."

What is prime factorization of a number?

"It is a method to find the prime factors of a given number."

What is composite integer?

"It is an integer that has more than two different factors. "

For given question,

The prime factorization of K is:

K = 3 × 5 × 7

This means the number K is, 3 × 5 × 7 = 105

The factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105.

We need to list all the composite factors of K.

From above factors of 105 we can observe that,

15 has factors 1, 3, 5, 15;

21 has factors 1, 3, 7, 21;

35 has factors 1, 5, 7, 35;

and 105 has more than two factors factors as mentioned above.

This means, the numbers 15, 21, 35 and 105 are composite numbers.

Therefore, the list all the composite factors of K : 15, 21, 35, 105

Learn more about the prime factorization of number here:

https://brainly.com/question/22692933

#SPJ2

on a piece of paper graph y+45 ;*- 2. Then determine which answer
choice matches the graph you Drew.

Answers

Answer:its Graph C

(According to the law of Nicoloas Sadi Carnot)

A certain medical test is known to detect 59% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that:

Answers

Answer:

[tex]P(x = 3) = 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex]

[tex]p=59\% = 0.59[/tex]

Required

[tex]P(x = 3)[/tex] --- probability that 3 are afflicted

This question illustrates binomial probability and it is calcuated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

So, we have:

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 0.048[/tex]

Graph the linear function described by the equation ​

Answers

Answer:

a on edge

Step-by-step explanation:

Tommy's birthday party costs $2.94 for every guest the invites. If there are 4 guests, how much will Tommy's birthday party cost?

Answers

Answer:

$11.76

Step-by-step explanation:

2.94×4=$11.76

Tommy’s birthday party will cost 11.76 because 2.94 times 4 equals 11.76

It would be great if someone helped me with this

Answers

Answer:

Step-by-step explanation:

They appear to be linear so that's easy enough to find out. What we are being asked is to find the equation represented by each table. Knowing that they are linear, we need the slope of each one and then the y-intercept of each one (each "one" being each table). Let's begin with the y-intercept. The y-intercepts exist where x = 0. In the first table, where x = 0, y = -4; in the second table, where x = 0, y = 3.

The equation we will finally fill in is y = mx + b, where m is the slope and b is the y-intercept.

Solving for slope in the first table:

[tex]m=\frac{-4-(-7)}{0-(-1)}=\frac{3}{1}=3[/tex] and the equation for this table is

y = 3x - 4

Solving for the slope in the second table:

[tex]m=\frac{3-4}{0-(-1)}=\frac{-1}{1}=-1[/tex] and the equation for this table is

y = -1x + 3 or just y = -x + 3

That's the system, which happens to be choice D

help fast pls i need it

Answers

Rectangle because there 2 sets of lines that have the same slope making them parallel. Also the sets of parallel lines are perpendicular because their slopes are negative reciprocals


If you shift the quadratic parent function, f(x) = x2, right 10 units, what is the
equation of the new function?
A. g(x) = (x+ 10)
B. g(x) = x2 + 10
C. g(x) = (x - 102
D. g(x) = x2 - 10

Answers

Answer:

A.

Step-by-step explanation:

The equation of the new function is g(x) = f(x-10) = (x -10)²

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

While adding to the input of a function moves the graph left, and subtracting from the input of a function moves the graph right.

If the quadratic parent function, f(x) = x² moves right 10 units,

Hence, the equation of the new function is g(x) = f(x-10) = (x -10)²

Learn more about graph here:

brainly.com/question/16608196

#SPJ2

Amy earned $25 after babysitting for 3 hours if amy always charges the same rate,how much will she make after babysitting for 7 hours

Answers

Hi! Amy will earn $175 for 7 hours of babysitting. $25 X 7 is 175. I hope this helps, Goodluck :)

A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?

Answers

im sorry i dont know the answer

If y = 2x3 - 4x and dx, dt equals 4 , find dy, dt when x = 1. Give only the numerical answer. For example, if dy, dt = 3, type only 3

Answers

Answer:  8

Work Shown:

y = 2x^3 - 4x

dy/dt = 2*3*x^2*dx/dt - 4*dx/dt

dy/dt = 2*3*1^2*4 - 4*4

dy/dt = 8

notice how I used the chain rule for step 2.

The number 6 is a solution to which of the following inequalities?
X - 13 > 7
6x < -12
6x > 32
21 + x < 28

Answers

Answer:

21 + x < 28

Step-by-step explanation:

27 is in fact greater than 28 if you where to input 6 into the x spot, this is the only one that's a true expression.

HELP WILL GIVE BRAINLIEST

Answers

Answer:

6

Step-by-step explanation:

Follow 1 hour on the y axis to where it meets the line of best fit. In this case it is about 6 puzzles.

The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2000 there were about
1,150 fish. Write an exponential decay function to model this situation. Then find the population in
2006.

Answers

Answer:

Number of fish in 2006 = 845 fishes (Approx.)

Step-by-step explanation:

Given;

Number of fish in 2000 = 1,150 fishes

Decreasing rate = 5% per year

Find:

Number of fish in 2006

Computation:

Exponential decay function:

F = P[1-r]ⁿ

Number of year = 2006 - 2000

Number of year =  6 year

Number of fish in 2006 = 1,150[1-5%]⁶

Number of fish in 2006 = 1,150[1-0.05]⁶

Number of fish in 2006 = 1,150[0.95]⁶

Number of fish in 2006 = 1,150[0.735]

Number of fish in 2006 = 845.25

Number of fish in 2006 = 845 fishes (Approx.)

If €1 is £0.72
What is £1 in €

Answers

Answer:

€1.39

Step-by-step explanation:

£0.72 ÷ 0.72 = 1÷0.72

£1= €1.39

Solve the following pair of linear equations using substitution method


[tex] x-3y = 13[/tex]

[tex]x+2y=8[/tex]

Answers

Answer:

(10, - 1 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 13 → (1)

x + 2y = 8 → (2)

Rearrange (1) making x the subject by adding 3y to both sides

x = 3y + 13 → (3)

Substitute x = 3y + 13 into (2)

3y + 13 + 2y = 8

5y + 13 = 8 ( subtract 13 from both sides )

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 3(- 1) + 13 = - 3 + 13 = 10

solution is (10, - 1 )

HELP!!!!!!!!!!!!!!!! pls

Answers

Answer: y = 25 - 2x

Step-by-step explanation:

y = mx + b

m = slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{23-25}{1-0} =\frac{-2}{1} =-2[/tex]b = y-intercept = when x = 0 = 25

y = -2x + 25

Please can someone work this out please it would reallly help

Answers

Answer:

12.25 [tex]\leq[/tex] x < 12.35

Step-by-step explanation:

5 is the cut off when rounding.

If a number to the right is greater than or equal 5, you round up.

If it's less than 5, you drop the number.

So 12.25 would be rounded up to 12.3

12.34 would be rounded to 12.3

How do you get the 12.25?

Subtract .05 from 12.3

How do you get 12.35?

Add .05 to 12.3.

The number in the hundredths place needs to be less than 5 to round down. That's why you use less than symbol.

can you explain it please and which method is correct?​

Answers

Answer:

The second one (answer of 3), but the other ones could've worked, they were just calculated wrong.

Step-by-step explanation:

Here's why each one did or didn't work:

First answer- you had the right idea by cancelling out the two in the denominator, however if you're going to divide 2, you have to divide it from everything in the equation. Meaning you would divide 4 by 2 to get 2, and then add the 1 + 2 to get final answer 3.

Second answer- since you added the numerator separately and then did the basic division, this worked.

Third one- similarly to the first one, you would have to also divide the 2 by 2 to get 1, then adding 1 + 2 to get 3.

A group of 80 frogs was observed. The mean distance of their hops is 69 inches with a standard deviation of 3.5 inches. How many frogs would you expect to jump more than 72.5 inches?

Answers

Hello,

[tex]z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\[/tex]

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈13 (frogs)

Answer:

12 frogs

Step-by-step explanation:

Hello,

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.

ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.

A savings account for a car is set up with an initial balance of $3000, and 125 is added every
month (no other transactions occur on the account).
1. Write the expression:
2. Write the equation equal to the $5,000 car goal:
3. M=
4. How long will it take:

Answers

Answer:

1) 3000 + 125m

2) 3000 + 125m = 5000

3) M= 16

4) It would take 16 months

Step-by-step explanation:

Okay so no since there are no other transaction and you already have a balance of 3000 with a monthly Fee of 125 the equation shpuld be like this.

So every month you add 125,we dont know how much months we have to pay so we can use the variable given to us in this case “M”. So your base expression should look like this,

3000 + 125m (3000 base fee that doesnt change, and 125 every month fee)

Then it asked us to put it as the final balance as 5000, so using the base expression we can do this

3000 + 125m = 5000

Now to solve it you would solve it like any other equation

5000-3000=2000

2000=125m

2000/125= 16

Okay so m = 16

M in this case stands for months so the final answer would be it would take 16 months to reach the final balance of 5000

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