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steposvetlana [31]
3 years ago
14

7x + 3 (3x+6) = 194 what is the answer

Mathematics
1 answer:
balandron [24]3 years ago
4 0

Answer:

x = 11

Step-by-step explanation:

7x + 3(3x + 6) = 194

<em>open the parenthesis</em>

7x + 3 * 3x + 3 * 6 = 194

7x + 9x + 18 = 194

<em>subtract 18 from both sides of the equation</em>

7x + 9x + 18 - 18 = 194 - 18

<em>combine like terms</em>

7x + 9x = 194 - 18

16x = 176

<em>divide both sides of the equation by 16</em>

16x/16 = 176/16

x = 176/16

x = 11

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The isosceles triangle shown has a base of 4 y + 2 and a perimeter of 6 y + 12 .  Which expression represents the length of 1 o
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The expression that represents the length of 1 of the triangle's legs is y + 5

Step-by-step explanation:

An isosceles triangle has two sides equal which are the triangle legs. Let b represent the base of the triangle and l represent one of the triangle's legs. Then, the perimeter, P is given by

P = l + l + b

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From the question, P = 6y + 12 and b = 4y +2

∴ 6y + 12 = 2l + 4y + 2

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4 0
3 years ago
Suppose an=3an-1 -5an-2 -4an-3. and a4= -7, a5=-36, a6=-85 , find a1 , a2, a3​
maria [59]

Answer:

        a_1=4\\\\a_2=0\\\\a_3=3

Explanation:

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      a_n=3a_{n-1}-5a_{n-2}-4a_{n-3}

and

      a_4=-7, a_5=-36, a_6=-85

<u>1. Subsittute n = 6 into the equation:</u>

      a_6=3a_{5}-5a_{4}-4a_{3}

      Now subsititute the known values:

       -85=3(-36)-5(-7)-4a_{3}

      You can solve for a_3

      -85=-108+35-4a_{3}\\\\4a_3=12\\\\a_3=12/4\\\\a_3=3

<u />

<u>2. Substitute n = 5 into the equation:</u>

    a_5=3a_{4}-5a_{3}-4a_{2}

     Substitute the known values and solve for a_2

        -36=3(-7)-5(3)-4a_{2}\\\\4a_2=-21-15+36=0\\\\a_2=0

<u>3. Substitute n = 4 into the equation, subsitute the known values and solve for </u>a_1<u />

       a_4=3a_{3}-5a_{2}-4a_{1}

        -7=3(3)-5(0)-4a_{1}\\\\4a_1=9+7=16\\\\a_1=4

7 0
3 years ago
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