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3 years ago

What is the value of y in the equation 2(3y + 6 + 3) = 196 − 16?

Mathematics

1 answer:

mafiozo [28]3 years ago

4 0

2(3y + 6 + 3) = 196 - 16

2 x (3y + 9) = 196 - 16

2 x (3y + 9) = 180

2 x 3y + 2 x 9 = 180

6y + 2 x 9 = 180

6y + 18 = 180

6y = 180 - 18

6y = 162

y = 162/6

y = 27

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Question: Find The Sum Of The Integers From -6 To 58 Of Ss. O 1,500 O 1,734 O 1,690 O 1,621

REY [17]

Answer:

The Sum Of The Integers From -6 To 58 is 1690.

Step-by-step explanation:

Given,

$a=-6$

$T_n=58$

We have to find out the sum of integers from -6 To 58.

Firstly we will find out the total number of terms that is 'n'.

Here $a_1=-6\ and\ a_2=-5$

$\therefore d=a_2-a_1=-5-(-6)=-5+6=1$

Now we use the formula of A.P.

$T_n=a+(n-1)d$

On substituting the values, we get;

$58=-6+(n-1)1\\\\n-1=58+6\\\\n-1=64\\\\n=64+1=65$

So there are 65 terms in between -6 To 58.

That means we have to find the sum of 65 terms in between -6 To 58.

Now we use the formula of Sum of n_terms.

$S_n=\frac{n}{2}(2a-(n-1)d)$

On substituting the values, we get;

$S_{65}=\frac{65}{2}(2\times-6+(65-1)1)\\\\S_{65}=\frac{65}{2}(-12+64)\\\\S_{65}=\frac{65}{2}\times52\\\\S_{65}=65\times26=1690$

Hence The Sum Of The Integers From -6 To 58 is 1690.

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Answer:

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Step-by-step explanation:

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4. Identify the term with coefficient -3 in the expression: 9a3 + 4b2 - 3c + 11

Mrrafil [7]

Answer:

-3 is the coefficient of c.

Step-by-step explanation:

The given expression is :

9a³ + 4b² - 3c + 11

We need to find the term with coefficient -3 in the expression.

The coefficient is defined as a number or quantity placed with a variable.

The coefficient of a³ = 9

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Hence, -3 is the coefficient of c.

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