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Degger [83]
2 years ago
14

-2(x-4)=10x+2 show ur work​

Mathematics
2 answers:
diamong [38]2 years ago
8 0

Answer:

Step-by-step explanation:

To solve for <em>x</em> you first isolate the variable you want on one side. We will do this by using PEMDAS and expanding our terms fully first before we move our terms around.

-2(x-4)=10x+2\\-2x-8=10x+2

We then isolate our term, remember to add numbers and variables to both sides so you aren't changing the value of the equation, and solve for <em>x.</em>-2x-8=10x+2\\-2x-8-2+2x=10x+2-2+2x\\-10=12x\\\frac{-10}{12}=x\\\frac{-6}{5}=x\\-1.2=x\\

kobusy [5.1K]2 years ago
3 0

Answer:

Step-by-step explanation:

-2(x-4) =10x+2

-2x--8= 10x+2

-2x+8= 10x+2

-2x+10x= 8+2

8x= 10

x= 0.8

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Log5(5)=x<br> solve for x
Ilia_Sergeevich [38]

Answer:

x = 1

Step-by-step explanation:

Using the rule of logarithms

log_{b} b = 1

That is the logarithm of a number to the same base is 1

Given

log_{5} 5 = x , hence x = 1

6 0
4 years ago
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Two friends are going to the mall to buy pizza. One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75. Her frie
GarryVolchara [31]

Answer:

The cost of each:

1 cheese slice = c = $3.75

1 pepperoni slice = p = $2.5

Step-by-step explanation:

Let the cost:

1 cheese slice = c

1 pepperoni slice = p

Two friends are going to the mall to buy pizza.

One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75.

c + 2p = $8.75.....Equation 1

c = $8.75 - 2p

Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00.

2c + 3p = $15.00.....Equation 2

We substitute 8.75 - 2p for c in Equation 2

2(8.75 - 2p) + 3p = $15.00

17.5 - 4p + 3p = 15

Collect like terms

- 4p + 3p = 15 - 17.5

-p = -2.5

p = $2.5

c = $8.75 - 2p

c = $8.75 - 2(2.5)

c = $8.75 - 5.0

c = $3.75

The cost of each:

1 cheese slice = c = $3.75

1 pepperoni slice = p = $2.5

6 0
3 years ago
Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$
horrorfan [7]

Answer:

A +B+C+D  = 3 is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

A+B+C+D = ? if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under \sqrt (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \   (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, A +B+C+D = 5+6-10+2 = \bold3

5 0
3 years ago
Which expression is equivalent to 5/6 ÷ 4
Ronch [10]

Answer:

5/24 or in decimal form 0.2083

Hope this helped

4 0
3 years ago
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