What is 1/14 x 28 in simplest form

Answers

Answer 1

Answer:

7 goes into 14 twice. 7 goes into 28 4 times. So 28/14 = 4(7)/2(7) [the sevens cancel] = 4/2 = 2

Answer 2

Answer: 14 times 24=336 and that means that 1/14 is14 in whole numbers

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Please help! 50 points and i'll give brainliest!

Answers

Answer:

$36√(3) -12\pi$

Step-by-step explanation:

The area of the shaded portion, we have to calculate.

Now, join C and O to form two right triangles Δ AOC and Δ BOC.

Now, from Δ AOC,

$\tan 60 = (AC)/(AO) = (x)/(6)$

⇒ x = 6√3

So, area of Δ AOC = $(1)/(2) * 6 * 6√(3) = 18√(3)$

Due to symmetry area of Δ BOC will also be 18√3.

Now, area of quadrilateral OACB is 2 × 18√3 = 36√3

Now, area covered by the arc AB about center O will be $(120)/(360) * \pi r^(2) = 12\pi$

Therefore, the area of the shaded portion is $36√(3) -12\pi$ (Answer)

Answer:

36\sqrt{3} -12\pi

Y=4x+rx+6 solve for x

Answers

$y=4x+rx+6$

$y-6=4x+rx$ $Subtract \ 6 \ from \ both \ sides$

$y-6=x(4+r)$ $Factor \ out \ the \ common \ term \ x$

$(y-6)/(4+r) =x$ $Divide \ both \ sides \ by \ 4+r$

A bag contains 90 marbles, some red and some blue. If there are 60 blue marbles, what is the ratio of blue to red marbles?

Answers

If there is a total of 90 marbles, and we know that there is 60 blue marbles. We can assume that the remaining 30 marbles are red therefore the ratio of red to red marbles would be 60÷30, which is 2. Or the ratio is 60:30 which is reduced to 2:1.

Graph the line y=-x+6

Answers

To graph a line, first, we need to plot out values. Let’s find a few: if y is 2, -x would be 2-6, and x would be 4. If y is -2, x would be 8.

Now, all you have to do is put a few more of those points on a line graph and connect them.

Good luck!

A line contains the point (8, –5). If the slope of the line is 5/7, write the equation of the line using point-slope form.

Answers

Answer: $(y+5)=(5)/(7)(x-8)$

Step-by-step explanation:

The point slope form of a line having slope m and point (a,b) is given by :-

$(y-b)=m(x-a)$

Given: A line contains the point = (8, –5)

The slope of the line = $(5)/(7)$

Now, the point slope form of a line having slope $(5)/(7)$ and point (8,-5) is given by :-

$(y-(-5))=(5)/(7)(x-8)\n\n\Rightarrow\ (y+5)=(5)/(7)(x-8)$

Hence, the equation of the line = $(y+5)=(5)/(7)(x-8)$

Answer: The required equation of the line is $y+5=(5)/(7)(x-8).$

Step-by-step explanation: Given that a line contains the point (8, -5) and the slope of the line is {tex]\dfrac{5}{7}.[/tex]

We are to write the equation of the line using point-slope form.

We know that

the equation of a line with slope m and passing through the point (a, b) is given by

$y-b=m(x-a).$

For the given line, we have

$m=(5)/(7),~~~(a,b)=(8,-5).$

Therefore, the equation of the line will be

$y-b=m(x-a)\n\n\Rightarrow y-(-5)=(5)/(7)(x-8)\n\n\Rightarrow y+5=(5)/(7)(x-8).$

Thus, the required equation of the line is $y+5=(5)/(7)(x-8).$

Artificial turf in on athletic fields was first introduced in the 1960s. Its safety has been controversial since then. One issue that has been investigated is whether injuries of football players tend to be more serious on artificial turf than grass. A study followed 24 NCAA division 1A college football teams over three seasonsIn total there were 1050 injuries that occurred on field turf. Of the field turf injuries, 83.3333% were minor and 10.857% were substantial.

77.972% of grass injuries were minor.

4.26% of injuries occurred on grass were severe.

(There is a total of minor injuries on grass and on field turf is equal to 1813.

How many injuries were severe and occurred on field turf? Write your answer as an integer.

How many injuries were severe? Write your answer as an integer.

Answers

1. Out of 1050 injuries that occurred on field turf:
$(1050)(0.8333) = 875$ were minor and $(1050)(0.10857) = 114$ were substantial. This leaves 1050 - 875 - 114 = 61 severe injuries.

2. If there were 1813 total minor injuries, and 875 were on field turf, then 1813 - 875 = 938 were on grass. This is 77.972% of all grass injuries, so $0.77972x = 938$ gives $x = 1203$ total grass injuries.

Since 4.26% of grass injuries were severe, this is (1203)(0.0426) = 51 severe grass injuries. Adding this to the 61 severe turf injuries gives a total of 112 severe injuries.

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