# 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

QUESTION POSTED 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.

(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.

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

Y= 40+2x hope this helps

ANSWERED AT 29/03/2020 - 11:46 PM

QUESTION POSTED AT 29/03/2020 - 11:46 PM

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.

Plug in the values.

S₁₅ = 28697812

Plug in the values.

S₁₅ = 28697812

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

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

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

and one revolution is just one-go around the circle or 2π

thus

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

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

1. 86%, 0.682, 67%, 5/8, 3/4, 0.41

2. 5%

2. 5%

ANSWERED AT 29/03/2020 - 06:32 PM

QUESTION POSTED AT 29/03/2020 - 06:32 PM

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.

Plug in the values.

S₁₀ ≈ 79.92

Plug in the values.

S₁₀ ≈ 79.92

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

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

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

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

Well C because

a+3=12

-3 -3

a= 9

a+3=12

-3 -3

a= 9

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

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

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

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.

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

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

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

The answer is 12*12=144

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

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

Tax rate is 2+3/4=2.75%

Income taxable

37,500−3,300=34,200

Tax accrued

34,200×0.0275=940.5

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

The answer is Mira. hope this helps

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

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

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: __

≤ ;

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.

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.

≤ ;

x ≤15.5.

We

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

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

**Answer:**

correct option is:

613

**Step-by-step explanation:**

Out of 150 people(50 people day 1, 50 people day 2 and 50 people day 3)

40 people prefer vanilla (13 of day 1,12 of day 2 and 15 of day 3)

That means, out of 150 : 40 prefer vanilla

out of 2300 : prefer vanilla

≈ 613

**Hence, the correct option is:**

** 613**

ANSWERED AT 28/03/2020 - 12:47 PM

QUESTION POSTED AT 28/03/2020 - 12:47 PM

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)

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

120

times 12 - 360

it should give you the right answer if you solve the problem like that

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

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

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 :

=

Here, x is 7 inches.

So, Diagonal is =

= 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

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

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

A=p (1+I/k)^kn

A=20×(1+0.025÷2)^(2×30)

A=42.14

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

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

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

**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,

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)**

.... subtract **31,050** on both sides

.... divide both sides by **97,200**

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

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

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

The answer is 63, it says "63 bought wheat bread" and the question is who bought "only" wheat bread.

ANSWERED AT 28/03/2020 - 12:26 PM

QUESTION POSTED AT 28/03/2020 - 12:26 PM

2 were older than 40 and the rest were younger then 20

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

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

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

: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

The answer is A again

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

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

First quartile is 13

Third quartile is 17.75

Take 17.75 - 13 = 4.75

The IQR is 4.75

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