Solve by the multiplication of equality 5/49*x = 20/7

Answers

Answer 1
Answer: 5/49(x) = 20/7 
5x/49 = 20/7
5x/49 × 49  = 20/7 × 49
5x  = 140
5x / 5  = 140 / 5
x = 28



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All of the following fractions are equivalent to 1/2 , except:A.2/4
B.5/10
C.4/7
D.3/6

Answers

C) 4/7 is not equal to 1/2

Answer:

I think that 4/7 is not equivalent to 1/2

Step-by-step explanation:

Ten times the sum of half a number and 6 is 8

Answers

Answer:
The number is -10.4

Explanation:
Assume that the number we are looking for is x.

Now, we want to get 10 times te sum of half the number and 6 and equate this expression to 8. Then we can solve for x

Let's take this step by step:
half the number is 0.5x
the sum of half the number and 6 is 0.5x + 6
10 times the sum of half the number and 6 is 10(0.5x +6)
10 times the sum of half the number and 6 equals 8 is 10(0.5x+6) = 8

Now we can solve for x as follows:
10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4

Hope this helps :)

The number we want to find is -10.4

Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

\large {\boxed {m = (y_2 - y_1)/(x_2 - x_1)}}

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

\large {\boxed {y - y_1 = m ( x - x_1 )} }

Let us tackle the problem.

Let :

The number = X

If ten times the sum of half a number and 6 is 8 , then :

10 * ( (1)/(2) X + 6 ) = 8

( 10 * (1)/(2) X ) + ( 10 * 6 ) = 8

5 X + 60 = 8

5 X = 8 - 60

5 X = -52

X = -52 / 5

\large {\boxed {X = -10.4} }

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

Which graph displays a square root function?1)
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2) - - -
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3)-
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4)- -
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(1-4 are graphs and are answers)

Answers

Hello,
last but not lease
Have a look to my graph.

answer 4


The bird population on an island is declining at a rate of 2.2% per year. If the population was 3500 in the year 2009, which is the best prediction of the population in the year 2014

Answers

In the year 2009 there were 3500 birds on an island. If the bird population is declining 2.2% per year it means that in the year 2014 we will have 3500*(1-0.022^(5))=3500*0.978 x^(5)= 3131.57 birds. 
The best prediction is that in the year 2014 the bird population will be 3132.

Answer:

The answer above me is correct including their math work!

What is the difference of 1,289 and 943?

Answers

1289 -
  943

First last number should be subtracted.
9 - 3 = 6

The second last
8 - 4 = 4

Then first number
2-9 = ?
Since it can't be divided, we have to borrow 10 from the previous number.
12-9 = 3

So the answer is,
  346  

Help with algebra 2 I can’t figure out how to solve the problem .

Answers

Answer: D

Step-by-step explanation:

Using the equation plot in the coordinates of the points to see if they fit the equation.

5x-3y < 30  

A)  5(-3) -3(5) < 30

   -15 -15 < 30

    -30 < 30   This is true

B)  5(0) -3(0) < 30

     0 - 0 < 30

     0< 30     This is true

C)  5(-5) - 3(3) < 30

    -25 - 9  < 30

      -34 < 30    This is also true

D) 5(3) - 3(-5) < 30  

   15 + 15 < 30

  30 < 30         This is not true because 30 is not greater that 30