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Lelu [443]
3 years ago
13

-0.2(14-6y)=-7y-(-5-9y)

Mathematics
2 answers:
Alexus [3.1K]3 years ago
7 0

Answer: y = -9.75

Step-by-step explanation:

sdas [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

First, simplify both sides of the equation.

- 0.2 (14 - 6y) = - 7y - (- 5 - 9y)

- 0.2 (14 - 6y) = - 7 + - 1 (- 5 - 9y)

− 0.2 (14 − 6y) = − 7y + (− 1) (− 5) + − 1 (− 9y)

− 0.2 (14 − 6y) = − 7y + 5 + 9y

(− 0.2) (14) + (− 0.2) (− 6y) = − 7y + 5 + 9

− 2.8 + 1.2y = − 7y + 5 + 9y

1.2y − 2.8 = (− 7y + 9y) + (5)

1.2y − 2.8 = 2y + 5

1.2y − 2.8 = 2y + 5

Next, subtract 2y from both sides.

1.2y − 2.8 − 2y = 2y + 5 − 2y

− 0.8y − 2.8 = 5

After that, Add 2.8 to both sides.

− 0.8y − 2.8 + 2.8 = 5 + 2.8

− 0.8y = 7.8

Lastly, DIvide both sides by - 0.8

- 0.8y/- 0.8 = 7.8/ - 0.8

y = - 9.75

(Sorry if this is long, it took me a while to type)

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The number of terms in the geometric series is 9

<h3>How to determine the number of terms in the series?</h3>

The geometric series given as:

96 - 48 + 24 -....,-3/8 .

Calculate the common ratio (r) as follows

r = T2/T1

Substitute the known values in the above equation

r = -48/96

Evaluate

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The number of terms is then calculated as:

Tn = a * r^n-1

Let n = 9

So, we have:

T9 = a * r^9

Substitute the known values in the above equation

T9 = 96 * (-0.5)^8

Evaluate the product

T9 = -3/8

Hence, the number of terms in the geometric series is 9

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Answer:

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Step-by-step explanation:

According to the image which i have posted below,we first want to take note that m∠6 & m∠7 are vertical angles. Vertical angles are equal to each other, therefore m∠6 is equal to m∠7.

m∠6 = m∠7 (vertical angles)

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so

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m∠4 = 180 - 140

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Step-by-step explanation:

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