A machine cuts 25 circuit boards every 5 minutes. What is the unit rate of production for the machine?

Answers

Answer 1

Answer:

25 divided by 5 = 5, so the unit rate is 5 circuit boards every minute.

Answer 2

The unit rate of production for the machine would be 5 circuit boards per minute.

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

We have been given that a machine cuts 25 circuit boards every 5 minutes.

To determine the unit rate of production for the machine.

Here the number of circuit boards = 25

And time = 5 minutes

We have to calculate the ratio of the number of circuit boards to time.

So the unit rate of production for the machine :

= number of circuit boards/time

⇒ 25/5 = 5

Therefore, the unit rate of production for the machine would be 5 circuit boards per minute.

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Related Questions

what is the sum of the first 30 multiplies of 3?
A.1200
B.1395
C.1500
D.1490

Answers

Answer:

Letter D. 1490

I hope you helped☜☆☞

how do i work this out.
write 600 as the product of prime factors. Give your answer in index form

Answers

You can do it as 2•2•2•3•5•5 or you can do 2 to the third power, times three to the first power, times five to the second power.

What is the sum of F(X) and G(x) if F(x) = 8x ^ 3 + 7x ^ 2 - 11x + 20 and G(x) = - 5x ^ 3 - 4x ^ 2 - 17

Answers

Answer:

[tex]3x^{3}+3x^{2}-11x+3[/tex]

Step-by-step explanation:

f(x) + g(x) = [tex]8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17[/tex]

To make this equation a little less long, we combine like terms

[tex](8-5)x^{3}+(7-4)x^{2}-11x+(20-17)[/tex]

or just

[tex]3x^{3}+3x^{2}-11x+3[/tex]

The mean income for people in a certain city (in thousands of dollars) is 37 with standard deviation 80 (thousands of dollars). A pollster draws a sample of 45 people to interview.
A. What is the probability that the mean income of the sample people is more than 24 (thousands of dollars)?
B. What is the probability that the sample mean income is between 41 and 45?
C) Find the 80th percentile of the sample mean.
D) Would it be unusual for the sample mean to be less than 38?
E) Do you think it would be unusual for an individual to have an income of less than 38? Explain.

Answers

Answer:

Step-by-step explanation:

The mean income for people in a certain city (in thousands of dollars) is 37 with standard deviation 80 (thousands of dollars). A pollster draws a sample of 45 people to interview.

A. What is the probability that the mean income of the sample people is more than 24 (thousands of dollars)?

B. What is the probability that the sample mean income is between 41 and 45?

C) Find the 80th percentile of the sample mean.

D) Would it be unusual for the sample mean to be less than 38?

E) Do you think it would be unusual for an individual to have an income of less than 38? Explain.

Meg places a tomato plant in her garden She adds a pepper plant 6 feet to the left of the
tomato plant. Then she adds a pumpkin plant 5 feet to the right of the tomato plant. How
many feet apart are the pepper plant and pumpkin plant? Show an absolute value
expression that can be used to find your answer.

Answers

Answer:

what is the opinions for the question

4/6 + 1/3 please help i need to get my grade up qwq

Answers

Answer:  1

Explanation:

1/3 is the same as 2/6

Imagine cutting a cake into thirds, then cutting each piece in two parts, so you'll have 6 pieces total. If you shade one third of the cake, then this is the same as shading 2/6 of a cake. The diagram shows this below.

Therefore 4/6 + 1/3 is the same as 4/6 + 2/6

At this point, we add the numerators over the common denominator

4/6 + 2/6 = (4+2)/6 = 6/6 = 1

Meaning we get a full cake since 4/6 is four slices and 2/6 is another two slices leading to 4+2 = 6 slices total out of the 6 overall.

1. Translate the following sentence into an equation. The product of six and
a number n is three less than the sum of four and n.

Answers

Answer:

6n + 3 = 4 + n

Step-by-step explanation:

Answer:

6n-3=4+n

Step-by-step explanation:

Ok since it is saying "the product of six and a number" it is a multiplication of the two variables 6 and n, which will give you "6n." The next part is "three less than." This is a subtraction cause you are subtracting 3 from 6n. The last part  "the sum of four and n." Is an addition because it has the word sum, which will give you 4+n.

Product=multiplication

Less than=subtraction

Sum of= Addition

Hope this helped

A band earns 2/3 of their selling concert tickets and 1/5 of their profit from selling merchandise. The band earns 1500$ from selling concert tickets. How much money does the band earn from selling merchandise

Answers

Answer:

well what is 1/5 of 1500, thats all you have to do

A group of friends were working on a student film. They spent $712 on costumes, which was 89% of their total budget. What was the total budget for their student film?

Answers

Answer:

800

Step-by-step explanation:

you divide 712 by .89

10, 9, 11, 8, 15, 18, 13
1. Calculate the mean, median, and mode. Round to the nearest tenth.

Answers

Answer:

Median: 11

Mean: 12

Mode: none

Step-by-step explanation:

M A T H W A Y helps

Mode is something that is repeated multiple times

so

Answer:

Median- 11

Mean-12

Mode-none

Step-by-step explanation:First step: Put the numbers in order 8,9,10,11,13,15,18

The median is the middle number  so that would be 11

Median-11

Mode is the most repeated number as you can see there is none

Mode- none

Mean is the average of all the numbers so first you add them all together and divide it by 7 because there are 7 numbers in total.

Mean- 12

Dillon is packing equal quantities of pretzels and crackers for snacks. Dillon bags the pretzels in groups of 5 and the crackers in groups of 11. What is the smallest number of crackers that he can pack?

Answers

He can pack 2. In each group with 1 left over

What is an equation of the line that passes through the point (8,0) and is parallel to
the line 2 -4y = 20

The topic of this is parallel and perpendicular through points!!

Answers

Answer:

i think y=0

Step-by-step explanation:

Solve the inequalities


Answers

Answer:

x=3

Step-by-step explanation:

[tex]-15x+32=13\\-15x=13-32\\-15x=-45\\x=-45/-15\\x=3[/tex]

Step-by-step explanation:

To Solve This Equation You will need to

follow this;

Original Equation;

-15x+32=-13

(Firstly you will Group Like Terms)

-15x=-13-32

(After Grouping you will go ahead and simplify)

-15x=-13-32

(You will have to add the two negative numbers and note that negative plus negative is still negative even though there is no addition sign there but you'll add them because when there is two negatives without a multiplication or division or any other sign you have to add)

-15x=-13-32

-15x=-45

(Then you proceed to divide both sides by -15)

x=3

This is because -45 divided by -15 is positive 3

Positive 3 because the negative signs cancel each other out.

Nine less than six times a number -15

Answers

Answer:

9-(6×X)=15

Step-by-step explanation:

hope this helsp

Answer:

x= -7.66

Step-by-step explanation:

Let the number be x

According to the question

9(6×x )= -15

9(6x)= -15

54×9x= -15

9x= -15-54

9x =-69

x= -69/9

x = -7.66

I wil I give the BRAINIEST!
Please explain :)

What is the best description of the relation? ​

Answers

I believe it is a function that is one to one. Hope that helped!

Explain how multiplying fractions and dividing fractions are alike and how they are different. ​

Answers

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Step-by-step explanation:

Example:

[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]

Two pounds of cashews costs $19. Which table best represents y, the total cost of the cashew for x pounds?

Answers

Answer:
I believe the answer is A.

Explanation:
If you divide 19 by 2 to get the cost of each pound, you will get $9.5 per pound.
Multiply that by three and it will give you $28.50.
The only graph with $28.50 on it is the first one! Therefore, it is A!

You do the same thing with the 5 and 8. Just take those numbers and multiply them by 9.5.

Hope this helped! :)

Find the measure of angle LMN
please help me!!

Answers

Its 125
It cant be 25 or 29 because the angle is clearly obtuse
And
Angle MPQ is the same as LMN
If you take 125 and subtract 50 from it (because you need to add 50 to 3x) you get 75
After that you need to divide 75 by 3 because 3 is multiplied by x
You should get 25
Therefore X=25
If X=25 then 5x is 125

The school administration decided that four grade levels of students (K–3) will share donated funds according to the proportion of students that are in each grade. There are twice as many students in third grade as there are in second grade. There are 5 more students in first grade than there are in second grade. The number of students in kindergarten is 15 more than in first grade. There are 365 students in the K–3 grades at the school.

(A) How many students are in each grade?

(B) What fraction of the money should each grade get?

Answers

Answer:

kindergarten = 88

first = 73

second = 68

third = 88

Step-by-step explanation:

365=k+f+s+t

2s=t

s+5=f

f+15=k

USE SUBSTITUTION

365=((s+5)+15) + (s+5) + s + (2s)

365=5s+25

-25     -25

340=5s

/5      /5

68=s

PLUG IN

t=2(68)=136

f=(68)+5=73

k=(73)+15=88

CHECK

68+136+73+88=365

You measure 22 watermelons' weights, and find they have a mean weight of 36 ounces. Assume the population standard deviation is 6.9 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places

Answers

Answer:

Step-by-step explanation:

Confidence interval formula is expressed as;

CI = xbar ±(z*s/√n)

xbar is the mean = 36

z is the z score at 95% CI = 1.96

s is the standard deviation = 6.9

n is the sample size = 22

Substitute

CI = 36  ±(1.96*6.9/√22)

CI = 36  ±(1.96*6.9/4.6904)

CI = 36  ±(1.96*1.4711)

CI = 36  ± 2.8833

CI = (36 - 2.8833, 36 + 2.8833)

CI = (33.1167, 38.8833)

Hence the 95% CI for the true population mean is 33.12<x<38.88

A coin is tossed 7 times. What is the probability that the number of tails obtained will be between 5 and 7 inclusive?

Answers

Answer:

6/49

Step-by-step explanation:

Select the correct answer. This tables models continuous function f. x f(x) -2 0 -1 -8 0 -6 1 0 2 4 3 0 If function f is a cubic polynomial, which statement most accurately describes the function over the interval ? A. The function increases and decreases over the interval . B. The function is decreasing over the interval . C. The function is increasing over the interval . D. The function is constant over the interval .

Answers

Answer:

The function is increasing over the interval (0, 1).

The statement that accurately describes the function over the interval is C. The function is increasing over the interval .

What is a function?

It should be noted that a function simply means the expression that's shows the relationship between variables.

In this case, the statement that accurately describes the function over the interval is that the function is increasing over the interval.

Learn more about functions on:

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1 pound of blueberries cost $2.75 yes or no

Answers

Answer:

no

Step-by-step explanation:

cause I don't really know


Please help me ! Today 11/6/2020 :(

Answers

i believe the answer is c, TSR

A right triangle has side 9 and hypotenuse 15. Use the Pythagorean Theorem to find the length of the third side.
Provide your answer below:

Answers

Answer:

12

Step-by-step explanation:

Pythogorean Theorem:

a squared + b squared = c squared

9 squared or 81 + ? squared = 15 squared or 225

Inverse Pythagorean Theorem:

c squared - a squared = b squared

225 - 81 = 144

sqrt (144) = 12

12 = b

Hope this helps! Good luck!

answer choices are
A B C D
if you could, please add an explanation.

Answers

Answer:

d

Step-by-step explanation:

Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = 2x – 5 2y – 4x =

Answers

Answer:

-10

Step-by-step explanation:

Answer:-10

Step-by-step explanation: trust

A tank contains 5,000 L of brine with 11 kg of dissolved salt. Pure water enters the tank at a rate of 50 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? y = ___________kg (b) How much salt is in the tank after 20 minutes? () y = ________ kg

Answers

Answer:

a

  [tex]y(t) = 11e^{-\frac{t}{100} }[/tex]

b

  [tex]y(20) = 9 \ kg[/tex]

Step-by-step explanation:

From the question we are told that  

    The volume of brine in the tank is  [tex]V_L = 5000 \ L[/tex]

     The mass of the salt is [tex]y(0)= 11 \ kg[/tex]

     The rate at which water enters that tank is [tex]\r V = 50 \ L / min[/tex]

Generally the rate at which salt enters the tank is mathematically represented as

           [tex]z = \frac{0}{V_L} * \r V[/tex]

=>        [tex]z = \frac{0}{5000} * 50[/tex]

Here the zero implies that there is no salt entering the tank

Generally the rate at which salt leaves  the tank is mathematically represented as

           [tex]u = \frac{y(t)}{V_L} * \r V[/tex]

=>        [tex]u = \frac{y(t)}{5000} * 50[/tex]        

=>        [tex]u = \frac{y(t)}{100}[/tex]

Generally the rate of salt flow in and out of the tank is              

       [tex]\frac{dy}{dt} = z - u[/tex]

=>    [tex]\frac{dy}{dt} = - \frac{y(t)}{100}[/tex]

=>    [tex]\frac{dy}{y} = -\frac{dt}{100}[/tex]

=>    [tex]ln(y(t)) = -\frac{t}{100} + c[/tex]

at time  t = 0  y(0) =  11

=>  [tex]ln(11) = -\frac{0}{100} + c[/tex]

=>   [tex]c = ln (11)[/tex]

So

    [tex]ln(y(t)) = -\frac{t}{100} + ln (11)[/tex]

taking exponent of both sides

    [tex]y(t)=e^{ -\frac{t}{100} + ln (11)}[/tex]

=>  [tex]y(t) = e^{-\frac{t}{100} } * e^{ln(11)}[/tex]

=>  [tex]y(t) = 11e^{-\frac{t}{100} }[/tex]

Generally at t = 20 minutes

 The amount of salt in the tank is mathematically represented as

         [tex]y(20) = 11e^{-\frac{20 }{100} }[/tex]

=>      [tex]y(20) = 9 \ kg[/tex]

 

 

which is greater [-3.25] or [4.25]​

Answers

which is greater [-3.25] or [4.25]

Answer:

4.25

Step-by-step explanation:

The number is bigger in absolute form

Please help i’ll give brainliest and please dont say this is east im in 6th and just learned this

Answers

Answer:

C

Step-by-step explanation:

1/3 is .3 repeating

and you need to move decimal over twice for a percentage so should be 15%

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