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Lena [83]
4 years ago
7

What is the solution to the equation 3(2x+5)=3x+4x

Mathematics
2 answers:
Lyrx [107]4 years ago
7 0

3(2x+5)=3x+4x

The solution is<u> x = 15</u>

Alex17521 [72]4 years ago
7 0

First, simplify.

Solve the left side. First, distribute 3 to all terms within the parenthesis

3(2x + 5) = 3(2x) + 3(5) = 6x + 15

Combine the terms on the right side

3x + 4x = 7x

Set them equal to each other

6x + 15 = 7x

Isolate the x. Subtract 6x from both sides

6x (-6x) + 15 = 7x (-6x)

15 = 7x - 6x

SImplify. Combine like terms

15 = x

15 is your solution for x

hope this helps

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What is the sum of 1/3 + 5 3/4 as a mixed number in simplest form
mart [117]

6 1/12 would be the answer

Rewriting our equation with parts separated

1/3+5+3/4

Solving the fraction parts

1/3+3/4=?

Find the LCD of 1/3 and 3/4 and rewrite to solve with the equivalent fractions.

LCD = 12

4/12+9/12=13/12

Simplifying the fraction part, 13/12,

13/12=11/12

Combining the whole and fraction parts

5+1+1/12=6 1/12

3 0
4 years ago
Miss Miller teaches three times as many students during first hour as she does during third hour. Her
coldgirl [10]
What you would do is multiply 72 and 3 so it says three times so you multiply 72 three times so this would equal 638
8 0
3 years ago
Write an algebraic equation to solve for the triangle’s height. Area of the triangle =36.8 inches . Height is x and base is 4.6
Minchanka [31]
The formula to find the Height of a triangle when you have the Area and the base is H = 2 * A/b
if the Area is 36.8 then divide it by 4.6.  You get 8.  put 36.8 in calculator first, then 4.6 = 8
2 x 8 = 16...so the answer should be 16 inches.
2 is in the formula to multiply to the number you get after dividing the base into the Area.
16 Answer
3 0
3 years ago
WILL GIVE BRAINLIST the answer is not 74​
olga nikolaevna [1]

Answer:

82

Step-by-step explanation:

180+148+xy=360

xy=32

arc=32=double the angle=16 degrees

Since both are radii they are equal. It is an isoceles triangle so angle x equals angle y.

180=16=164/2=82

4 0
3 years ago
The average breaking strength of a certain brand of steel cable is 2000 pounds, with a standard deviation of 100 pounds. A sampl
Westkost [7]

Answer:

1963.2 pounds (lbs.)

Step-by-step explanation:

Things to understand before solving:

  • - <u>Normal Probability Distribution</u>
  1. The z-score formula can be used to solve normal distribution problems. In a set with mean ц and standard deviation б, the z-score of a measure X is given by: Z=\frac{X-u}{a}

The Z-score reflects how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value associated with this z-score. This p-value represents the likelihood that the measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the likelihood that the measure's value is larger than X.

  • - <u>Central Limit Theorem</u>
  1. The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean ц and standard deviation б , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean ц  and standard deviation s=\frac{a}{\sqrt{n} }

As long as n is more than 30, the Central Limit Theorem may be applied to a skewed variable. A specific kind of steel cable has an average breaking strength of 2000 pounds, with a standard variation of 100 pounds.

This means, ц  = 2000 and б = 100.

A random sample of 20 cables is chosen and tested.

This means that n = 20, s=\frac{100}{\sqrt{120} } =22.361

Determine the sample mean that will exclude the top 95 percent of all size 20 samples drawn from the population.

This is the 100-95th percentile, or X when Z has a p-value of 0.05, or X when Z = -1.645. So Z=\frac{X-u}{a}

  • By the Central Limit Theorem

Z=\frac{X-u}{a} \\-1.645=\frac{X-2000}{22.361} \\X-2000=-1.645*22.361

X =1963.2

<h3>Answer:</h3>

The sample mean that will cut off the top 95% of all size 20 samples obtained from the population is 1963.2 pounds.

3 0
3 years ago
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