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Luda [366]
3 years ago
14

Given: 18x-2(3x+1)=5x-16 Prove: x=-2

Mathematics
2 answers:
kramer3 years ago
4 0

Answer:

X = -2

Step-by-step explanation:

(If you mean to "check the answer" then the answer above mine would help more)

I hope this answer helps. You should show your work as proof:

We simplify the equation first:

18x−2(3x+1)=5x−16

18x+(−2)(3x)+(−2)(1)=5x+−16 (Distribute)

18x+−6x+−2=5x+−16

(18x+−6x)+(−2)=5x−16 (Combine Like Terms)

12x+−2=5x−16

12x−2=5x−16

Then we cancel out:

12x−2−5x=5x−16−5x

7x−2=−16

7x−2+2=−16+2

7x=−14

7x/7 = −14/7

x = -2

zlopas [31]3 years ago
3 0

Answer:

True

Step-by-step explanation:

Evaluate 18 x - 2 (3 x + 1) = 5 x - 16 where x = -2:

-2×18 - 2 (1 - 2×3) = -2×5 - 16

3 (-2) = -6:

-2×18 - 2 (-6 + 1) = -2×5 - 16

1 - 6 = -5:

-2×18 - 2-5 = -2×5 - 16

18 (-2) = -36:

-36 - 2 (-5) = -2×5 - 16

-2 (-5) = 10:

10 - 36 = -2×5 - 16

5 (-2) = -10:

10 - 36 = -10 - 16

10 - 36 = -26:

-26 = -10 - 16

-10 - 16 = -26:

-26 = -26

-26 is equal to -26:

Answer:  True

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26 is to 74 as 80 is to x x =?
Mila [183]
<span>26 is to 74 and 80 is to X
Since this is a ratio, let’s find the value of X
=> 26 : 74 = 80 : x
=> 74 x 80 = 5 920 / 26
=> 227.7
Let’s check if we have the correct answer.
=> 227.7 * 26
= 5920 / 74 = 80
Or let’s check the other way around
=> 5920 / 80 = 74
Thus our answer is correct</span>



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Step-by-step explanation:

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A factory produces 80,000 candies each day. They produce equal quauntities of four flavors cherry lemon orange and strawberry. T
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Answer: \dfrac14

Step-by-step explanation:

Given: The factory produces equal quantities of four flavors cherry lemon orange and strawberry.

Let  orange candy= cherry = lemon = strawberry  = x

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C<br> Solve for m:<br> 3/4m - 3 = 9<br> May I please have help!
MAVERICK [17]

Answer:

m=16

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  3/4*m-3-(9)=0

Step 1: Simplify 3/4

Equation at the end of step 1: ((3/4 x m) - 3) - 9 = 0

Step2: Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

        3     3 • 4

   3 =  —  =  —————

        1       4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m - (3 • 4)                               3m - 12

—————4———————  =  ———4————

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(m-16)

 ———————— • 4 = 0 • 4

    4    

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (m-16)  = 0

6.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    m-16 = 0

Add  16  to both sides of the equation :

                     m = 16

6 0
2 years ago
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