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Pavel [41]
2 years ago
10

Solve for b. 5b + 8 - 2b = 7b. A 2 B.4/5 C.4/7 D.1/2​

Mathematics
2 answers:
Delicious77 [7]2 years ago
7 0

Answer:

b=2

Step-by-step explanation:

5b + 8 - 2b = 7b

Combine like terms

3b+8 = 7b

Subtract 3b from each side

3b+8-3b = 7b-3b

8 = 4b

Divide each side by 4

8/4 = 4b/4

2 =b

Y_Kistochka [10]2 years ago
5 0

Answer:

b=2

Step-by-step explanation:

Simplifying

5b + 8 + -2b = 7b

Reorder the terms:

8 + 5b + -2b = 7b

Combine like terms: 5b + -2b = 3b

8 + 3b = 7b

Solving

8 + 3b = 7b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-7b' to each side of the equation.

8 + 3b + -7b = 7b + -7b

Combine like terms: 3b + -7b = -4b

8 + -4b = 7b + -7b

Combine like terms: 7b + -7b = 0

8 + -4b = 0

Add '-8' to each side of the equation.

8 + -8 + -4b = 0 + -8

Combine like terms: 8 + -8 = 0

0 + -4b = 0 + -8

-4b = 0 + -8

Combine like terms: 0 + -8 = -8

-4b = -8

Divide each side by '-4'.

b = 2

Simplifying

b = 2

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What is the median of the data set given below?<br> 19, 22, 46, 24, 37, 16, 19, 33
Nikolay [14]

Answer:

27

Step-by-step explanation:

19+22+46+24+37+16+19+33=216

216/8=27

7 0
2 years ago
What is the prime factorization of 240? Question options: 24 · 3 · 7 23 · 3 · 5 24 · 5 23 · 5 · 7 24 · 3 · 5
timama [110]

The prime factorization of 240 is 2^{4} . 3 . 5 ⇒ last answer

Step-by-step explanation:

Prime number is the number that has only 2 factors 1 and itself

{2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , ............}

In prime factorization we use only the prime numbers

Ex: The factors of 15 are 1 , 3 , 5 , 15,

      Then the prime factors of 15 are 3 and 5 only because they are

       prime numbers

So to find the prime factors of a number do that

1. Factorize the number by divide it using prime numbers only

2. Write the number as a product of its prime factors

∵ 240 divisible by first prime number 2

∴ 240 ÷ 2 = 120

∵ 120 ÷ 2 = 60

∵ 60 ÷ 2 = 30

∵ 30 ÷ 2 = 15

- We divided the number by 2 for 4 times

∴ 2^{4} is a prime factor of 240

∵ 15 is divisible by prime number 3

∴ 15 ÷ 3 = 5

∴ 3 is a prime factor of 240

∵ 5 is divisible by prime number 5

∴ 5 ÷ 5 = 1

∴ 5 is a prime factor of 240

∴ The prime factors of 240 are 2^{4} , 3 , 5

The prime factorization of 240 is 2^{4} . 3 . 5

Learn more:

You can learn more about factors in brainly.com/question/5194236

#LearnwithBrainly

7 0
3 years ago
Let’s assume that human body temperatures are normally distributed with a mean of 98.20° F and a standard deviation of 0.62° F.
uysha [10]

Answer: It is such a small percentage of the population that would be considered to have fever at that level.

So, it is not appropriate stringent standard.

Step-by-step explanation:

Since we have given that

Mean = 98.20°F

Standard deviation = 0.62°F

If  Bellevue Hospital in New York City uses 100.6°F as the lowest temperature considered to be a fever.

So, \bar{X}=100.6^\circ F

So, using the normal distribution, we first find the value of z.

z=\dfrac{\bar{x}-\mu}{\sigma}\\\\x=\dfrac{100.6-98.2}{0.62}\\\\z=3.87

Since z = 3.87

So, p = 0.0001 =0.1%

So,It is such a small percentage of the population that would be considered to have fever at that level.

So, it is not appropriate stringent standard.

4 0
3 years ago
The number of bacteria in a second study is modeled by the function b_2(t)=800(1.6)^t.
Lisa [10]

Answer:

1.6 = 1 + .6 = 60% growth rate

Step-by-step explanation:

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3 years ago
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