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KIM [24]
3 years ago
10

Solve 240 = 6z + c for 'c'. show steps please

Mathematics
1 answer:
Lunna [17]3 years ago
6 0

There are two ways to find or determine for the value of c. In the first method, we can use addition and subtraction to isolate the variable c from the other variables. In the second method, we can use the transposition of variables to isolate the variable c from the other variables.

So solving for the value of c:

 

<span>Using 1st method: Addition and Subtraction</span>

We are given:

240 = 6 z + c

Simply subtract 6 z on both sides:

240 – 6 z = 6 z + c – 6 z

Cancelling 6 z – 6 z on the right side:

240 – 6 z = c

or

c = 240 – 6 z

 

<span>Using the 2nd method: Transposition</span>

240 = 6 z + c

What we are going to do here is to simply transpose the variable 6 z from the right side to the left side of the equation so that we are left with c alone on the right side. Always remember that when we transpose, the symbol becomes opposite. That is:

240 + (- 6 z) = c

240 – 6 z = c

or

<span>c = 240 – 6 z</span>

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<h3>What is PEMDAS' order of operations?</h3>

The order of operations exists as a rule that describes the right sequence of measures for estimating a math expression. We can recognize the order utilizing PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).

$2*8*2^{2}  - 4*8+4

Follow the PEMDAS order of operations

Calculating the exponents, we get 2² = 4

= 2*8*4 - 4*8+4

= 64-32 +4

= 36

Therefore, the nth term of a sequence that exists 2n2² - 4n+4 is 36.

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Step-by-step explanation:

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we can rewrite using trigonometric identities (tan = sin/cos)...

=\left(\frac{\sin \left(x\right)}{\cos \left(x\right)}\right)^2\cos ^2\left(x\right)\\= \sin ^2\left(x\right)

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Step-by-step explanation:

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Reika [66]

The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, If the given equation is x-y=0 and x+y=8.

Step-by-step explanation:

The given is,

                              x-y=0...............................(1)

                              x+y=8...............................(2)

Step:1

          Solution can be obtained by Elimination method,

          Equation (1) is multiplied by (-1)           ( Eqn (1) × -1 )

                             -x+y=0..............................(3)

          Substrate the equation (1) and equation (3),

                              -x+y=0

                                x+y=8

         ( - )

         (-x-x)+(y-y)=(0-8)

                             (-2x)=-8

                                -2x = -8

         we can cancel the minus because it is available in both sides,

                                  2x=8

                                    x = \frac{8}{2}

                                     x = 4

        From the value of x, Equation (2) becomes,

                              x+y=8

                               4+y=8

                                     y = 8-x    (Value of y in terms of x)

        Where, x = 4

                                     y = 8-4        

                                     y =4

Step:2

       Check for solution,

                             x+y=8.....................................(2)

       Substitute the values of x and y,

                             4 + 4 = 8

                                   8 = 8

Result:

         The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, where x=4. If the given equation is x-y=0 and x+y=8.

         

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3 years ago
What expression is equivalent to 14/15
jonny [76]

Answer:

2/3 divided by 5/7

Step-by-step explanation:

2/3 divided by 5/7 equals 14/15

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