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3 years ago

Solve for x: 3 (x - 3) + 8x = 5(2x + 1)

Mathematics

1 answer:

melomori [17]3 years ago

5 0

Answer:

x = 14

Step-by-step explanation:

3 (x - 3) + 8x = 5 (2x + 1)

FOIL: 3x - 9 + 8x = 10x +5

Move all the x terms to one side and all the constants to the other:

3x + 8x - 10x = 5 + 9

Combine like terms: x = 14

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3 miles per minute is equivalent to feet per minute.

Sidana [21]

Answer: 15840 feet per minute.

Step-by-step explanation:

Convert 3 miles to feet and let the minute stay the same.

3 miles is the same is 15840 feet.

So it means the 3 miles is equivalent or equal to the same as 15840 feet per minute.

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3 years ago

Sin theta+costheta/sintheta -costheta+sintheta-costheta/sintheta+costheta=2sec2/tan2 theta -1

sleet_krkn [62]

$\dfrac{sin\theta + cos\theta}{sin\theta-cos\theta}+\dfrac{sin\theta-cos\theta}{sin\theta+cos\theta}=\dfrac{2sec^2\theta}{tan^2\theta-1}$

From Left side:

$\dfrac{sin\theta + cos\theta}{sin\theta-cos\theta}\bigg(\dfrac{sin\theta+cos\theta}{sin\theta+cos\theta}\bigg)+\dfrac{sin\theta-cos\theta}{sin\theta+cos\theta}\bigg(\dfrac{sin\theta-cos\theta}{sin\theta-cos\theta}\bigg)$

$\dfrac{sin^2\theta+2cos\thetasin\theta+cos^2\theta}{sin^2\theta-cos^2\theta}+\dfrac{sin^2\theta-2cos\thetasin\theta+cos^2\theta}{sin^2\theta-cos^2\theta}$

NOTE: sin²θ + cos²θ = 1

$\dfrac{1 + 2cos\theta sin\theta}{sin^2\theta-cos^2\theta}+\dfrac{1-2cos\theta sin\theta}{sin^2\theta-cos^2\theta}$

$\dfrac{1 + 2cos\theta sin\theta+1-2cos\theta sin\theta}{sin^2\theta-cos^2\theta}$

$\dfrac{2}{sin^2\theta-cos^2\theta}$

$\dfrac{2}{\bigg(sin^2\theta-cos^2\theta\bigg)\bigg(\dfrac{cos^2\theta}{cos^2\theta}\bigg)}$

$\dfrac{2sec^2\theta}{\dfrac{sin^2\theta}{cos^2\theta}-\dfrac{cos^2\theta}{cos^2\theta}}$

$\dfrac{2sec^2\theta}{tan^2\theta-1}$

Left side = Right side <em>so proof is complete</em>

8 0

3 years ago

Read 2 more answers

What is the square root of 100 times two divided by two

gogolik [260]

Answer:

10 is your answer

Step-by-step explanation:

√((100 * 2)/2)

Simplify. First, follow the Parenthesis. Combine 100 with 2

100 * 2 = 200

Next, divide by 2

200/2 = 100

Root 100

√100 = √10 * √10 = 10

10 is your answer

An easier way to solving this is to first cancel out the 2's ( multiplying 2 and dividing 2 would do nothing), and just square rooting 100, giving you the answer 10.

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3 years ago

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The differfence between the product of seven and a number and two times the number

olga2289 [7]

Answer:

7(x-10)

Step-by-step explanation:

7×(x-10)

you ×7by whatever x-10 is

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2 years ago

Ben is making math manipulatives to sell. He wants to make at least $450. Each manipulative costs $18 to make. He is selling the

lys-0071 [83]

7 is the answer because 7 is great and is always the answer

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3 years ago

Solve for x: 3 (x - 3) + 8x = 5(2x + 1)​

Solve for x: 3 (x - 3) + 8x = 5(2x + 1)