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3 years ago

How do you simplify 2x +5 +(6x +1)

1 answer:

8 0

<span>Simplifying 2x + 5 + 6x + -1 = 120
Reorder the terms: 5 + -1 + 2x + 6x = 120
Combine like terms: 5 + -1 = 4 4 + 2x + 6x = 120
Combine like terms: 2x + 6x = 8x 4 + 8x = 120 Solving 4 + 8x = 120
Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8x = 120 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 120 + -4 8x = 120 + -4
Combine like terms: 120 + -4 = 116 8x = 116 Divide each side by '8'. x = 14.5 Simplifying x = 14.5</span>

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Spins a fair spinner numbered 1 - 5 and flips a fair coin. What is the probability of obtaining a factor of 15 and a tail?

Lesechka [4]

Answer: $\dfrac{3}{10}$

Step-by-step explanation:

Let A be the event of getting a factor of 15 when a fair spinner numbered 1 - 5 spins and B be the event that a fair coin is tossed.

The factors of 15 = $1,\ 3,\ 5$

Then ,the probability of obtaining a factor of 15 is given by :-

$P(A)=\dfrac{3}{5}$

The probability of getting a tail :-

$P(B)=\dfrac{1}{2}$

Since both the events are independent , thus

The probability of obtaining a factor of 15 and a tail is given by :-

$P(A)\times P(B)\\\\=\dfrac{3}{5}\times\dfrac{1}{2}=\dfrac{3}{10}$

Hence, the required probability : $\dfrac{3}{10}$

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3 years ago

The average cell phone bill per year was $650 in 2009. If the average cost each year is about 109.2% of the previous year (9.2%

galina1969 [7]

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3 0

3 years ago

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amm1812

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4 years ago

What is the height of an equilateral triangle if the sides are 10

4vir4ik [10]

Answer:

The height of the equilateral triangle is $5\sqrt{3}\ units$

Step-by-step explanation:

we know that

An equilateral triangle has three congruent sides, and three congruent angles that each measure 60 degrees

To find out the height of an equilateral triangle, apply the Pythagoras Theorem in the right triangle ABD

Remember that the height of an equilateral triangle bisects the base.

see the attached figure to better understand the problem

$AB^2=AD^2+BD^2$

substitute the given values

$10^2=5^2+BD^2$

Solve for BD

$100=25+BD^2$

$BD^2=100-25$

$BD^2=75$

$BD=\sqrt{75}\ units$

simplify

$BD=5\sqrt{3}\ units$ `

therefore

The height of the equilateral triangle is $5\sqrt{3}\ units$

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4 years ago

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3 years ago

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