1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
EastWind [94]
3 years ago
13

Micah can fill a box with books in 15 minutes. While Micah fills the box, Sydney takes the books out puts them on a shelf. With

Sydney taking books out of the box, it takes 20 minutes for Micah to fill the box.
Which of the following can be used to determine the amount of time it takes for Sydney to empty the box if Micah is not adding books?

a. 1 over 15 minus 1 over 20 equals 1 over x
b. 1 over 20 minus 1 over x equals 1 over 15
c. 1 over 15 minus 1 over x equals 1 over 20
d. 1 over 15 minus 1 over x equals x over 20
Mathematics
1 answer:
vova2212 [387]3 years ago
4 0
Micah's velocity = 1 box / 15 minutes = 1/15 box/minute

Sidney's velocity = 1/x

Micah's velocity - Sidney's velocity = 1 box / 20 minutes = 1/20 box/mitue


1/15 - 1/x = 1/20

1/x = 1/15 - 1/20

Answer: option a. 1/15 - 1/20 = 1/x

You might be interested in
What single percentage change is equivalent to a 23% decrease followed by a 16% increase?
Stells [14]
<h3>Answer:  10.68% decrease (choice F)</h3>

==========================================================

Explanation:

A decrease of 23% means that you still retain 77% of the original value. This is because 23% + 77% = 100%. Or you could write it like this: 100% - 23% = 77%. The 77% then converts to the multiplier 0.77

An increase of 16% will involve the multiplier 1.16 in which we can think of it like 1.16 = 1 + 0.16 = 100% + 16%

Now we'll multiply those two decimal values mentioned:

0.77*1.16 = 0.8932

This result is smaller than 1, so we have a percent decrease of some sort. Subtract it from 1 to find the decimal form of the percent decrease

1 - 0.8932 = 0.1068

Lastly, move the decimal point 2 spots to the right:

0.1068 converts to 10.68%

We have a decrease of 10.68% overall when combining the initial 23% decrease followed by the 16% increase.

It turns out the order doesn't matter, and we could do the 16% increase first then the 23% decrease next. The key as to why the order doesn't matter all relies on the fact that multiplication can be done in any order. As you can probably guess, this process can be extended for as many percentage increases and/or decreases that you want.

7 0
2 years ago
Deanna borrowed $650 at 8% 0 simple interest. How much - 52 interest did she pay for 1 year?​
Ronch [10]

Answer:

i = ($650)(0.08)(1) = $52

Step-by-step explanation:

The formula for simple interest is i = prt.  Here p = $650, r = 0.08 and t = 1 (year).  Then the simple interest Deanna paid for this one year loan was

i = ($650)(0.08)(1) = $52

7 0
2 years ago
Read 2 more answers
-(2x + 4) + x = 3x − 4x − 4
mariarad [96]

Answer:

Solve for

x

by simplifying both sides of the equation, then isolating the variable.

x

=

−

5

Step-by-step explanation:

5 0
3 years ago
Line m passes through (-5,0) and (-3,2)
nata0808 [166]

Answer:

Yes, they are parallel

Step-by-step explanation:

Find the slopes of the lines using rise over run (y2 - y1) / (x2 - x1)

Find the slope of line M:

(y2 - y1) / (x2 - x1)

(2 - 0) / (-3 + 5)

2/2

= 1

Find the slope of line N:

(y2 - y1) / (x2 - x1)

(4 - 2) / (0 + 2)

2/2

= 1

So, the two lines have the same slope of 1, meaning that they are parallel because parallel lines have the same slope.

They are parallel.

5 0
3 years ago
What does 6 - 6 + 3 =
Mice21 [21]

Answer:

3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP IM DUMB AND I NED THIS ASAP
    12·1 answer
  • A company that sells an online course aimed at helping high-school students improve their SAT scores has claimed that SAT scores
    6·1 answer
  • Please derivate this <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2x%5Csqrt%7Bx%7D%20%7D%7B3%7D" id="TexFormula1" title="\frac{2x
    12·1 answer
  • Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord
    5·1 answer
  • What shape is this cross-section?
    9·2 answers
  • HELP ME PLZ QUICKLY
    10·2 answers
  • Please help...............
    11·1 answer
  • Help plssss I will do anythinv
    10·1 answer
  • If 30 pens cost ₹750. How many pens will cost ₹1000?​
    15·2 answers
  • What is a fraction? And how do they work?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!