# A printer can print 40 pages in 1.6 minutes. a. Write and solve a proportion to find the number of pages that the printer can print in 5 minutes. Show your work. b. Lana wants to use the printer to print 150 pages. Find the time, in minutes, it will take to print 150 pages. Show your work.

QUESTION POSTED AT 18/01/2020 - 06:55 AM

A is 307.2

b is 6.4 min maybe just a little less

## Related questions

### 14.A company employee has to print 3145 pages, and the company's printer prints 85 pages per minute. The function f(x)=−85x+3145f(x)=−85x+3145 represents the number of unprinted pages x minutes after the printing begins. What is the practical domain of function f? all whole numbers from 0 to 37 all real numbers from 0 to 37 all real numbers from 0 to 3145 all multiples of 85 between 0 and 3145

F(x) = -85x + 3145...the domain is going to be the x value while the range is the f(x) value.

answer is going to be all whole numbers from 0 to 37

notice if u sub in 37 for x.....
f(37) = -85(37) + 3145
f(37) = - 3145 + 3145
f(37) = 0...that means after 37 minutes, there are no un-printed pages...all the pages have been printed. So ur answer would be greater then 0, but less then or equal to 37.....and they have to be whole numbers.....they cant be all real number because that includes irrational numbers.

ANSWERED AT 16/02/2020 - 07:04 PM

QUESTION POSTED AT 16/02/2020 - 07:04 PM

### Solve. x2 + 6x = 10 -3 ± sqrt 10 -3 ± sqrt 7 -3 ± sqrt 19 -3 ± sqrt 13 ...?

We can solve the given equation above by doing the completing the square method. We do as follows:

x^2 + 6x = 10
x^2 + 6x + 9 = 10 +9
(x+3)^2 = 19
√(x+3)^2 = √19
x + 3 = √19

Therefore, the correct answer from the choices listed above is the third option, -3 ± sqrt 19. Hope this answers the question. Have a nice day.

ANSWERED AT 16/02/2020 - 06:40 PM

QUESTION POSTED AT 16/02/2020 - 06:40 PM

### Find the area of the regular polygon. Give the answer to the nearest tenth. dodecagon with a perimeter of 108 cm ...?

A regular dodecagon is a polygon with 12 equal sides.
Length of each side = 108/12 = 9 cm.

Length of the apothem = (9/2)/tan 15 = 9/2tan 15 = 16.79 cm

Area of each triangle = 9/2(16.79) = 75.57 cm^2

Therefore, area of the dodecagon = 12(75.57) = 906.9 cm^2

ANSWERED AT 16/02/2020 - 06:36 PM

QUESTION POSTED AT 16/02/2020 - 06:36 PM

For 10 notebooks, then we could scale the ratio and it will become 10:6.60. So they will cost you $6.60. I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead! ANSWERED AT 16/02/2020 - 06:35 PM QUESTION POSTED AT 16/02/2020 - 06:35 PM ### One hundred times the quantity two plus seven 900 is One hundred times the quantity two plus seven ANSWERED AT 16/02/2020 - 06:34 PM QUESTION POSTED AT 16/02/2020 - 06:34 PM ### Find two fractions with the difference of 1/5 but with neither denominator equal to 5 The two fractions with the difference of 1/5 but with neither denominator equal to 5 is 4/10 and 2/10. ANSWERED AT 16/02/2020 - 06:32 PM QUESTION POSTED AT 16/02/2020 - 06:32 PM ### A rectangular table is two times as long as it is wide. If the area is 50ft^2, find the length and the width of the table. 10ftx5ft ......................................................................................................................................................................................................................................................................................... ANSWERED AT 16/02/2020 - 06:32 PM QUESTION POSTED AT 16/02/2020 - 06:32 PM ### How to divide 8775÷45 And show your work 195 45 x 1= 45 45 x 9= 405 45 x 5= 225 ANSWERED AT 16/02/2020 - 06:32 PM QUESTION POSTED AT 16/02/2020 - 06:32 PM ### Draw a model to show a fraction that is equivalent to 1/3 and a fraction that is not equivalent to 1/3. 2/3 is not equivalent to 1/3 2/6 is equivalent to 1/3 ANSWERED AT 16/02/2020 - 06:31 PM QUESTION POSTED AT 16/02/2020 - 06:31 PM ### Help please solve and explain 7 grade First, read the problem and circle/underline any important information. it usually helps you sort it out. so, the book has 288 pages total. she's read 90 out of 288. she wants to read 20 pages from here on out to finish the book. write an equation yourself before you worry about part A with her incorrect equation. "90" here is going to be your constant number, because regardless of how much she reads every day from now on, she has already done 90. you add 90 and the 20 per day because they have to add up to 288 to show that she completed the book. the equation you should have is: 90 + 20d = 288 so this will help you answer part A and part B of the question. what did she get wrong? well, you can see that she did SOMETHING to get that big ol' 378 instead of 288. she probably added 90 instead of subtracting it; do some mental math or check it on a calculator, and, yep, that's definitely her mistake there. then, it looks like she also thought she needed to "subtract" 20 pages per day. that would mean... she read 20 less pages a day, rather than 20 more. and you can't unread something, so that's her second mistake. to summarize for part A: she added 90 instead of subtracting it, then she's subtracting 20 pages a day rather than adding it to her completed work. to find out how many pages she'll need to read a day, you just need to get "d" alone in the equation we wrote. 90 + 20d = 288 ... subtract 90 20d = 198 ... divide by 20 d = 9.9, but as the instructions state, "part of a day" is a full day. that means she'll need 10 days to complete her reading. "show that your answer is reasonable." -- to be honest, i don't really know what they're asking for here. of course it's reasonable? we just solved it with logical math............... maybe they want you to plug the answer in? in that case, just check it real quick: 90 + 20d = 288 90 + 20(10) 90 + 200 290... 288. she would have time to 290 pages but she only has to take care of 288, so she'll finished it ?? ANSWERED AT 16/02/2020 - 06:26 PM QUESTION POSTED AT 16/02/2020 - 06:26 PM ### State domain of -5 0 , -4 2, 0 10 , 3 16 The domain is another name for the values of x In the points ( -5 , 0) , ( -4 , 2) , (0 , 10) , and (3 , 16) -5, -4, 0, and 3 are the domains ANSWERED AT 16/02/2020 - 06:23 PM QUESTION POSTED AT 16/02/2020 - 06:23 PM ### Matthew practices his violin for 25th minutes a day.he started at 3:15.what time will it be when Matthew stops practicingA. 3:30B. 3:40C. 3:50D. 4:50 B. 3:40 You would have to add 25 minutes to 3:15 to get 3:40 ANSWERED AT 16/02/2020 - 06:21 PM QUESTION POSTED AT 16/02/2020 - 06:21 PM ### How can you use proportions to solve percent problems? Percents are out of 100, so saying 25% is the same as (25/100), which is a proportion!! ANSWERED AT 16/02/2020 - 06:15 PM QUESTION POSTED AT 16/02/2020 - 06:15 PM ### Given ghi with g(4 -3), H (-4, 2), and I (2, 4), find the perpendicular bisector of HI in standard form GI is the bisector of the perpendicular bisector. ANSWERED AT 16/02/2020 - 06:06 PM QUESTION POSTED AT 16/02/2020 - 06:06 PM ### Find two numbers whose sum is 30, and whose difference is 26 Yea umm Im not sure but 2, 28? ANSWERED AT 16/02/2020 - 06:02 PM QUESTION POSTED AT 16/02/2020 - 06:02 PM ### Can fractions still be considered natural, whole, integers, rational, irrational, or real numbers? Fractions are numbers which can be represented in the form p/q, where p and q are WHOLE NUMBERS and q is not zero Rational numbers are numbers which can be represented in the form p/q where p and q are INTEGERS and q is not zero So your saying " all rational numbers are all numbers that can be represented as a fraction." is wrong....... all fractions are rational numbers but NOT ALL rational numbers are fractions.. ANSWERED AT 16/02/2020 - 05:35 PM QUESTION POSTED AT 16/02/2020 - 05:35 PM ### Fill in the blank: To find the values of p, q, r and s, you should start by finding all factor ___ of the leading coefficiant and constant term. Then try them to determine which ones give you the correct product ...? I can be wrong, but I think that the answer is: To find the values of p, q, r and s, you should start by finding all factor pairs of the leading coefficiant and constant term. ANSWERED AT 16/02/2020 - 05:35 PM QUESTION POSTED AT 16/02/2020 - 05:35 PM ### A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 100x − 0.2x2, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum? ...? The extrema of a function happen when the derivative is equal to zero. So first we calculate the derivative:R′(x)=100−0.4x And then we solve:0=100−0.4x 0.4x=100 x=250 units Now we can substitute back into the original equation to calculate the revenue:R(250)=100(250)−0.2(2502) R(250)=$12500

ANSWERED AT 16/02/2020 - 05:33 PM

QUESTION POSTED AT 16/02/2020 - 05:33 PM

### One number is 3 less than twice another. If their sum is 39, find the numbers. Which of the following systems of equations represents the word problem? A.y = 2x - 3 and y = x + 39 B.y = 2x - 3 and x + y = 39 C.y = 2(x - 3) and x + y = 39 ...?

Let

y------> one number

x-----> another number

we know that ------> equation A ------> equation B

substitute equation A in equation B   Find the value of y the numbers are and therefore

the answer is the option B and ANSWERED AT 16/02/2020 - 05:32 PM

QUESTION POSTED AT 16/02/2020 - 05:32 PM

### The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side. Find the lengths of the medians of the triangle with vertices at A=(0,0), B=(6,0), C=(4,4) ...? Step-by-step explanation:

Consider ΔABC with vertices such that P , Q , R are midpoints of sides BC , AC and AB .

We know that midpoint of line segment joining points is equal to Midpoints P , Q , R : We know that distance between points is given by Length of AP :

AP = Length of BQ :

BQ = Length of CR : ANSWERED AT 16/02/2020 - 05:32 PM

QUESTION POSTED AT 16/02/2020 - 05:32 PM

### name the property used in each equation. then find the value of n. 2.) 1·n=8 3.) 28·n=0 4.) 0+n=22 5.) 1/4·n=1

2. n = 8 (Identity property)
3. n = 0 (Zero Property)
4. n = 22 (Additive Identity Property)
5. n = 4 (Fractal property)

ANSWERED AT 16/02/2020 - 05:29 PM

QUESTION POSTED AT 16/02/2020 - 05:29 PM

### Consider the planes 2x + 1y + 5z = 1 and 2x + 5z = 0. (A) Find the unique point P on the y-axis which is on both planes. ( ? , ? , ? ) (B) Find a unit vector u with positive first coordinate that is parallel to both planes. ? I + ? J + ? K (C) Use the vectors found in parts (A) and (B) to find a vector equation for the line of intersection of the two planes,r(t) = ? I + ? J + ? K

B is easy, given 2x + 1y + 5z = 1 and 2x + 5z = 0, normal vectors of those planes are (2,1,5) and (2,0,5), cross product will give the parallel vector, divide by its length so it gives the unit vector

ANSWERED AT 16/02/2020 - 05:29 PM

QUESTION POSTED AT 16/02/2020 - 05:29 PM

### at her job, mary works 4 hours on monday, 3 hours on wednesday, and 6 hours on saturday. her boss adds a $10 bonus to her paycheck, which then totals$120.50. what is mary's hourly pay? a. $8.50 b.$9.27 c. $5.24 d.$8.05

She worked 4+3+6 hours = 13 hoursso 13x+10 = 120.50
13x=110.50
x=8.5
so she makes \$8.50 an hour which is A.

ANSWERED AT 16/02/2020 - 05:29 PM

QUESTION POSTED AT 16/02/2020 - 05:29 PM

### Angle ABD and angle BDE are supplementary. Find the measures of both angles. m angle ABD =5x degrees, m angle BDE = (17x-18)degrees

By definition of supplementary angles,
∠ABD + ∠BDE = 180
5x + 17x - 18 = 180
22x = 198
x = 9

∠ABD = 5(9) = 45°
∠BDE = 180 - 45 = 135°

ANSWERED AT 16/02/2020 - 05:29 PM

QUESTION POSTED AT 16/02/2020 - 05:29 PM

### When a number is raised to the 6th power, it equals 90. What is this number, and write it using the root symbol ...?

6√90 = 2.11693286302546
So, this number to the power of six equals 90.
2.11693286302546^6 = 90

ANSWERED AT 16/02/2020 - 05:28 PM

QUESTION POSTED AT 16/02/2020 - 05:28 PM

### Write the verbal sentence as an equation. Then solve the equation. 1.) negative sixteen plus the quotient of a number and 2 is 35. 2.) Thirty-nine minus a number is -19

1. -16 + x + 2= 35
x = 35 + 16
x = 51

2. 39 - x = -19
x = 39 + 19
x = 58

ANSWERED AT 16/02/2020 - 05:27 PM

QUESTION POSTED AT 16/02/2020 - 05:27 PM

### Suppose cos(π/2−x) =3/5, cos x =4/5 find sin, tan, csc, sec, cot

Cos (π/2 - x) = sin x = 3/5
tan x = sin x / cos x = 3/5 / 4/5 = 3/4
csc x = 1/sin x = 1 / 3/5 = 5/3
sec x = 1/cos x = 1 / 4/5 = 5/4
cot x = 1/tan x = 1 / 3/4 = 4/3.

ANSWERED AT 16/02/2020 - 05:26 PM

QUESTION POSTED AT 16/02/2020 - 05:26 PM

### Write in scientific notation: 527,000

Hi , the answer is 5.27 x 10^5 .

ANSWERED AT 16/02/2020 - 05:26 PM

QUESTION POSTED AT 16/02/2020 - 05:26 PM

### When working with the square root of a number, when would you have only a positive answer and when would you have both a positive and negative answer?

Lets make it clear: You would have a positive answer when the value you are looking for has to be a positive number. On the other hand you would have a positive and a negative answer when you take the square root of something that doesn't have to be positive. it could be either because when a negative number is squared it becomes positive and when a positive number is squared it stays positive as well.

ANSWERED AT 16/02/2020 - 05:24 PM

QUESTION POSTED AT 16/02/2020 - 05:24 PM

### The mean for average temperature in Buffalo ,New york , is 47.5°. The temperture fluctuates 23.5° above and below the mean temperture . If t=1 present January ,the phase shift of the sine function is 4 a) Write the funtion for the average monthly tempperature in Buffalo b) According to your modle ,what is the average tenperature in March ? c) According to your modle ,what is the average tenperature in August ?

1) According to the statement, the Temperature will be modeled with a sine function.

2) a genaral sin function is of the type: Asin(mt + p) + M

where:

t is the variable

A is the amplitud: the fluction fluctuate +/- A units over the mean value. A = 23.5°

M is the mean value. M = 47.5°

m is the frequency, which we need to be 2π/12 (the complete cycle is 12 months) = m = π/6

p is the phase shift, which is 4. p = 4

Then:

a) the model or function is T(t) = 47.5° + 23.5* sin [ (π/6) t + 4]

b) T in march => t = 3

T(3) = 47.5° + 23.5° sin [ (π/6)*3 + 4] = 32.1 °

c) T in august => t = 8

T(8) = 47.5° + 23.5° sin [ (π/6)*8 + 4] = 69.7 °

ANSWERED AT 16/02/2020 - 05:24 PM

QUESTION POSTED AT 16/02/2020 - 05:24 PM