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Savatey [412]
3 years ago
5

Simplify −31p+79>−59p+81

Mathematics
1 answer:
Aloiza [94]3 years ago
5 0
 1.1     Pull out like factors :

   28p - 2  =   2 • (14p - 1) 2.1    Divide both sides by <span> 2 

</span> 2.2    Divide both sides by  14  p-(1/14)  > 0 Add  1/14  to both sides<span>
 p > 1/14     </span>Inequality plot for<span>
28.000 X <span> - 2.000 > 0
</span></span> Answer : <span>p > 1/14</span>

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Which of the following represents the relationship between the circumference, c, and diameter, d, of any circle?
Usimov [2.4K]

Given:

Circumference of a circle = C

Diameter of a circle = d

To find:

The relationship between the circumference, c, and diameter, d, of any circle.

Solution:

We know that, circumference of a circle is

C=2\pi r

It can be written as

C=(2r)\pi

C=d\pi         [\because d=2r]

On dividing both sides by d, we get

\dfrac{C}{d}=\pi

Therefore, the correct option is (F).

6 0
3 years ago
−9x+4y=6 9x+5y=−33 ​
blsea [12.9K]

Answer:

{x,y} = {-2,-3}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    -9x + 4y = 6

  [2]    9x + 5y = -33

Graphic Representation of the Equations :

   4y - 9x = 6        5y + 9x = -33  

Solve by Substitution :

// Solve equation [2] for the variable  y  

 

 [2]    5y = -9x - 33

 [2]    y = -9x/5 - 33/5

// Plug this in for variable  y  in equation [1]

  [1]    -9x + 4•(-9x/5-33/5) = 6

  [1]    -81x/5 = 162/5

  [1]    -81x = 162

// Solve equation [1] for the variable  x  

  [1]    81x = - 162  

  [1]    x = - 2  

// By now we know this much :

   x = -2

   y = -9x/5-33/5

// Use the  x  value to solve for  y  

   y = -(9/5)(-2)-33/5 = -3

3 0
3 years ago
given the points a (-1,2) and (7,14), find the coordinates of the point p on directed line segment ab that partitions ab in the
Vinvika [58]
Check the picture below.

\bf \left. \qquad  \right.\textit{internal division of a line segment}&#10;\\\\\\&#10;a(-1,2)\qquad b(7,14)\qquad&#10;\qquad 1:3&#10;\\\\\\&#10;\cfrac{aP}{Pb} = \cfrac{1}{3}\implies \cfrac{a}{b} = \cfrac{1}{3}\implies 3a=1b\implies 3(-1,2)=1(7,14)&#10;\\\\&#10;-------------------------------\\\\&#10;{ P=\left(\cfrac{\textit{sum of "x" values}}{r1+r2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{r1+r2}\right)}

\bf -------------------------------\\\\&#10;P=\left(\cfrac{(3\cdot -1)+(1\cdot 7)}{1+3}\quad ,\quad \cfrac{(3\cdot 2)+(1\cdot 14)}{1+3}\right)&#10;\\\\\\&#10;P=\left( \cfrac{-3+7}{4}~,~\cfrac{6+14}{4} \right)

3 0
3 years ago
you pick one card from a standard deck.What is the probability that the card will be one of the clubs suit?
My name is Ann [436]
The probability is 1/4
8 0
3 years ago
What is the reciprocal of 6/5? <br> A. 1 <br> B. 1 1/5 <br> C. 12/10 <br> D. 5/6
Sergio039 [100]
The reciprocal of 6/5 is D. 5/6

Reciprocal simply means swapping the position of the numbers in the fraction. The numerator becomes the denominator and the denominator becomes the numerator.

We need to get reciprocal of a fraction when division is performed.

For example: 2 ÷ 1/5

2 may be a whole number but in fraction form it is 2/1.

1st fraction = 2/1
2nd fraction = 1/5

In dividing fractions, the 1st step we need to do is to get the reciprocal of the 2nd fraction.

1/5 ⇒ 5/1

Then, we multiply the 1st fraction to the reciprocal of the 2nd fraction.
2/1 * 5/1 = 10

So, 2 ÷ 1/5 = 10

8 0
3 years ago
Read 2 more answers
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