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shusha [124]
3 years ago
15

7+11v=9v-9 how do you solve by steps

Mathematics
1 answer:
avanturin [10]3 years ago
4 0
You're solving this equation for the variable 'v', so the main goal is to isolate it on one side of the equation.

     7 + 11v = 9v - 9            Subtract 7 from both sides
7 - 7 + 11v = 9v - 9 - 7       Simplify
           11v = 9v - 16           Subtract 9v from both sides
    11v - 9v = 9v - 9v - 16   Simplify
            2v = -16                 Divide both sides by 2
            \frac{2v}{2} = -\frac{16}{2}                 Simplify
            v = -8          

Check your answer by plugging the value (-8) into the original equation.

7 + 11(-8) = 9(-8) - 9   Simplify the mulitiplication steps
7 + (-88) = -72 - 9     Rewrite 7 + (-88) as 7 - 88
    7 - 88 = -72 - 9     Simplify both sides
         -81 = -81

The check worked out, so your answer is v = -8 .

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FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
What is the discriminant <br><br> 3g^2+10= -15g
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7 0
3 years ago
The perimeter of a rectangle is 150 cm. the length is 4 cm greater than the width find the width and length
Fudgin [204]

Let's call the width of our rectangle w and the length l. We can say l = w + 4, since the length is equal to 4 cm greater than the width.


Also remember that the perimeter of a rectangle is the sum of two times the width and two times the length, or P = 2l + 2w. To solve this problem, we can substitute in the information we know, as shown below:

150 = 2(w + 4) + 2w

150 = 4w + 8

142 = 4w

w = \frac{71}{2}


Now, we can substitute in the width we found into the formula for length, which is l = w + 4:

l = \frac{71}{2} + 4

l = \frac{79}{2}


The width of our rectangle is \boxed{\frac{71}{2} \,\, \textrm{cm}} cm and the length of our rectangle is \boxed{\frac{79}{2} \,\, \textrm{cm}}

8 0
3 years ago
I NEED THIS ANSWER NOW
SOVA2 [1]
b its hope that helps
4 0
2 years ago
Read 2 more answers
Is the following equation true? 4m + 12 = 2(m + 6)
muminat

Answer:

no

Step-by-step explanation:

4m + 12 ≠ 2m + 12

3 0
3 years ago
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