Decide whether the following rates are equivalent. 12 pages in 20 minutes or 20 pages in 32 minutes

QUESTION POSTED AT 20/02/2020 - 11:12 PM

Answered by admin AT 20/02/2020 - 11:12 PM

The two fractions that we can extract from the given rates above are:
                (1) 12 pages / 20 minutes
                (2) 20 pages / 32 minutes
We can reduce the fractions or rates to their lowest term by dividing the numbers by 4 such that,
                 (1) 3 pages / 5 minutes
                 (2) 5 pages / 8 minutes
Therefore, the rates are not equivalent. 
Post your answer

Related questions

Simplify, following the order of operations: 5+10^2-3 x (12-8)

It would be 93, as PEMDAS is in play

ANSWERED AT 30/03/2020 - 01:36 AM


QUESTION POSTED AT 30/03/2020 - 01:36 AM

4 + 12 + 36 + … ; n = 15

I've attached a picture below of the formula for a finite geometric sequence. It includes an infinite geometric sequence formula for your reference, too.

a_1 = 4
r(ratio)= 3
n=15

Plug in the values. 

S_{15} = 4*( \frac{1-3^{15}}{1-3} )
S_{15} = 4*( \frac{1-3^{15}}{-2} )
S_{15} = 4*( \frac{1-14348907}{-2} )
S_{15} = 4*( \frac{-14348906}{-2} )
S_{15} = 4*7174453
S₁₅ = 28697812

ANSWERED AT 29/03/2020 - 11:43 PM


QUESTION POSTED AT 29/03/2020 - 11:43 PM

A DVD rotates through an angle of 20\pi radians in 1 second. At this speed, how many revolutions does the DVD make in 2 minutes?

There are 60 seconds in 1 minute, thus 120 seconds in 2 minutes
and one revolution is just one-go around the circle or 2π

thus   \bf \cfrac{20\pi }{secs}\cdot \cfrac{120\ secs}{2mins}\cdot \cfrac{revolution}{2\pi }

ANSWERED AT 29/03/2020 - 06:34 PM


QUESTION POSTED AT 29/03/2020 - 06:34 PM

40 + 20 + 10 + … ; n = 10 Find the sum of each finite geometric series.

I've attached a picture below of the formula for a finite geometric sequence. It includes an infinite geometric sequence formula for your reference, too.

a_1 = 40
r(ratio)= \frac{1}{2}
n=10

Plug in the values. 

S_{10}=40*( \frac{1- \frac{1}{2}^{10} }{1- \frac{1}{2} } )
S_{10}=40*( \frac{1- \frac{1}{1024} }{\frac{1}{2} })
S_{10}=40*( \frac{\frac{1023}{1024} }{\frac{1}{2} })
S_{10}=40*1.998046875
 S_{10} = 79.921875
S₁₀ ≈ 79.92

ANSWERED AT 29/03/2020 - 06:31 PM


QUESTION POSTED AT 29/03/2020 - 06:31 PM

Jonathan and Sarah purchased a beach house for $10,000,000. The home appreciates at a rate of 3% per year. The appreciation of the house is shown in the graph. The home is currently worth about $13,000,000. Jonathan and Sarah have owned the home for about ______ years. how many years

Current worth = 10,000,000 * (1.03)^years
We must determine the years when current worth = 13,000,000
13,000,000 / 10,000,000 = 1.03^years
1.3 = 1.03^years
Taking logs of both sides:
log (1.3) = years*log(1.03)
log(1.3) / log(1.03) = years
0.11394335231 / 0.012837224705 = years
years = 8.8760113598
Roughly about 8.9 years


ANSWERED AT 29/03/2020 - 06:29 PM


QUESTION POSTED AT 29/03/2020 - 06:29 PM

Which of the equation has a solution of 9. A. W-12=21 B. R- 1 = 10 C. A + 3 = 12 D. M + 9 = 81

Well C because
a+3=12
    -3    -3 
a= 9

ANSWERED AT 29/03/2020 - 06:28 PM


QUESTION POSTED AT 29/03/2020 - 06:28 PM

Which type of data is BEST described by a continuous model? A) points scored B) pages in a book C) children in a family D) temperature of an engine

The meaning of term continuous is that there should be no breaking.

In terms of mathematics , a function is said to be continuous function if there are no gaps when you plot the curve on coordinate axis.

In option 1, points scored is an incomplete statement.

Option 2, pages in a book is an example of constant function if you count pages between two pages. But it is a continuous function if page numbers are counted.

Option 3, children in a family is not a continuous function because there are gap in birth of two children.

Option 4, Temperature of an engine varies if engine is moving, otherwise remains constant.

Option (B), pages in a book is a type of data which is BEST described by a continuous model.    

ANSWERED AT 29/03/2020 - 06:24 PM


QUESTION POSTED AT 29/03/2020 - 06:24 PM

What is the fifteenth term of the sequence 5, -10, 20, -40, 80

5, -10, 20, -40, 80,
the pattern is (n*-2)
-160,  320, -640, 1280, -2560, 5120, -10240, 20480, -40960, 81920.

81,920 is your answer.

ANSWERED AT 29/03/2020 - 06:19 PM


QUESTION POSTED AT 29/03/2020 - 06:19 PM

A segment has endpoints at (7,12) (-5,-9) what is the x coordinate of the midpoint of that segment

You have two points so you can use the midpoint formula.
The midpoint formula is (x1 + x2/2, y1 + y2/2).
In this case you are solving for the x-coordinate of the midpoint so you are solving x1 + x2 / 2. Just plug in 7 for x1 and -5 for x2 and solve

ANSWERED AT 29/03/2020 - 06:18 PM


QUESTION POSTED AT 29/03/2020 - 06:18 PM

What is12×12=? Please tell me the answer

The answer is 12*12=144

ANSWERED AT 29/03/2020 - 04:32 PM


QUESTION POSTED AT 29/03/2020 - 04:32 PM

Assume current Federal Exemption is $3300.00. Bill Smith earns $37,500.00, is single; and the tax rate is 2 3/4 %. Calculate the tax

Tax rate is 2+3/4=2.75%
Income taxable
37,500−3,300=34,200
Tax accrued
34,200×0.0275=940.5

ANSWERED AT 29/03/2020 - 04:32 PM


QUESTION POSTED AT 29/03/2020 - 04:32 PM

Milo walks 40 meters in 15 seconds and Mira walks 30 meters in 10 seconds. Who's walking rate is faster?

The answer is Mira. hope this helps

ANSWERED AT 29/03/2020 - 04:30 PM


QUESTION POSTED AT 29/03/2020 - 04:30 PM

Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.

Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.

To solve this, we divide both sides by 1.29:
 \frac{1.29x}{1.29}  ≤  \frac{20}{1.29} ;
x ≤15.5.

We cannot download half of a song, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.

ANSWERED AT 28/03/2020 - 12:48 PM


QUESTION POSTED AT 28/03/2020 - 12:48 PM

What are the intercepts of 6x + 8y = 24? a.(4, 0) and (0, 1) b.(12, 0) and (0, 1) c.(3, 0) and (0, 4) d.(4, 0) and (0, 3)

6x + 8y = 24

x intercept is the value when y =0 & y intercept is the value when x=0


for y=0 ==> 6x+0 =24 ==> x=4 for x=0==> 0+8y =24 ==> y=3

(4,0) & (0,3) (ANSWER d)

ANSWERED AT 28/03/2020 - 12:46 PM


QUESTION POSTED AT 28/03/2020 - 12:46 PM

Ιғ a cιrcle нaѕ a radιυѕ oғ 12 cм and a ѕecтor deғιned вy a 120 degree arc, wнaт ιѕ тнe area oғ тнe ѕecтor

120
times 12 - 360
it should give you the right answer if you solve the problem like that

ANSWERED AT 28/03/2020 - 12:46 PM


QUESTION POSTED AT 28/03/2020 - 12:46 PM

Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent? 11 inches 12 inches 13 inches 14 inches

Answer:

The length of the longest metal rod that can be sent is 12 inches.

Step-by-step explanation:

As given, the only boxes available for shipping are 7-inch cubes. As Jorge needs to ship a thin metal rod to a metalworking shop, he will put the rods diagonally or space diagonally in the box.

The space diagonal of a cube can be found by the formula :

D=\sqrt{x^{2}+x^{2}+x^{2} }

= \sqrt{3} x

Here, x is 7 inches.

So, Diagonal is = \sqrt{3} \times7

= 1.732\times7=12.12 inches.

Rounding this to nearest whole number we get 12.

So, the length of the longest metal rod that can be sent is 12 inches.

ANSWERED AT 28/03/2020 - 12:44 PM


QUESTION POSTED AT 28/03/2020 - 12:44 PM

Joe has two empty boxes, one box is 15 inches wide, 20 inches long and 10 inches high. The second box has the same length and width but is 4 inches taller. How much additional spaces is in the box

Space in the box = volume
volume = length x width x height
box 1 volume = 15 x 20 x 10 = 3000
box 2 volume = 15 x 20 x 14 = 4200
how much space is left = box 2 - box 1 = 1200 inches

ANSWERED AT 28/03/2020 - 12:44 PM


QUESTION POSTED AT 28/03/2020 - 12:44 PM

Kathleen deposits $20 into her account that earns 2.5% interest that is compounded twice a year . how much will she have in her account in 30 years ?

A=p (1+I/k)^kn
A=20×(1+0.025÷2)^(2×30)
A=42.14

ANSWERED AT 28/03/2020 - 12:43 PM


QUESTION POSTED AT 28/03/2020 - 12:43 PM

Hoshi walks 10 meters in 3 seconds. 1.What his her walking rate? 2. Suppose she walks this same rate for 50 seconds, how far does she walk? 3. Write an equation that represents the distance (d) that Hoshi walks in (t) seconds.

Her walk rate is 3.33 meter per sec you find this by dividing meters by seconds

Then you multiply this 3.33 by 50 you get 166.5 meters

d=t3.33 is the equation

ANSWERED AT 28/03/2020 - 12:39 PM


QUESTION POSTED AT 28/03/2020 - 12:39 PM

Tristen is a salesman whose base pay plus commissions amounted to $59,238 last year. if his base pay was? $31,050 and he made $97,200 in sales last year, what was his rate of commission? a) 61% b) 52% c) 29% d) 32%

Answer:

The commission rate is 0.29 or 29%

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Before we can solve this problem, we need to create a formula that calculates the total amount of Tristen's payment. The formula would be the following,

T = b + (r*s)

Where:

  • T is the total pay
  • b is the base pay
  • r is the rate of commission
  • s is the total sales

Now that we have the formula we can plug in the values from the question and then solve for the rate of commission (r)

59,238 = 31,050 + (r*97,200) .... subtract 31,050 on both sides

 28,188= r*97,200 .... divide both sides by 97,200

0.29 = r

Now we can see that the commission rate is 0.29 or 29%

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

ANSWERED AT 28/03/2020 - 12:39 PM


QUESTION POSTED AT 28/03/2020 - 12:39 PM

In one year Jane laid 12 dozen eggs. How many eggs is that?

The answer is 144, you multiply 12 times 12.

ANSWERED AT 28/03/2020 - 12:34 PM


QUESTION POSTED AT 28/03/2020 - 12:34 PM

Is 6 to 9 and 24 to 45 equivalent ratios

No, it would have to be 24:36 or 30:45

ANSWERED AT 28/03/2020 - 12:31 PM


QUESTION POSTED AT 28/03/2020 - 12:31 PM

Triangle ABD is similar to triangle ACD. AB = 10, BC = 12, BE = 4, and CD = y. Find y.

There is a mistake in your writing
:The similar triangles should be ABE (& not ABD as you stated) & ACD

If so, we can write the following proportion:

AB/AC = BE/CD.
We know that AB =10, BE=4, AC= 10 + BC (BC =12, Given), so AC =22
Plug into the above: 10/22 =4/y===> y= (22 x 4)/10===> y =44/5 =8.8

ANSWERED AT 28/03/2020 - 12:25 PM


QUESTION POSTED AT 28/03/2020 - 12:25 PM

These data show the age in years of 9 members of the youth orchestra. 12 14 16 17.5 10 18 15 15.5 19 What is the IQR (interquartile range) for these data?

First quartile is 13
Third quartile is 17.75
Take 17.75 - 13 = 4.75
The IQR is 4.75

ANSWERED AT 28/03/2020 - 12:24 PM


QUESTION POSTED AT 28/03/2020 - 12:24 PM