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3 years ago

Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number. n= Answer

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

8 0

Answer:

-45

Step-by-step explanation:

2/3x - 11 = x + 4

I created an inequality representing the above statement first. This makes things look less complicated than what the question is asking.

2/3x = x + 15

solve for x. I started by adding 11 to both sides.

-1/3x = 15

multiply both sides by -3

x = -45

Ilia_Sergeevich [38]3 years ago

4 0

Answer:

-45.

Step-by-step explanation:

2/3 x - 11 = x + 4

2/3 x - x = 4 + 11

-1/3x = 15

x = 15 * -3

x = -45.

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The population of coyotes in the northwestern portion of Alabama is given by the formula p (t )equals (t squared plus 100 )ln (t

elena-14-01-66 [18.8K]

Answer:

The rate of change of the Coyote population in 2002 is 32

Step-by-step explanation:

Given the formula for the population of a Coyotes in the Northwestern portion of Alabama, we are to calculate rate of change of the Coyote population in the year 2002 where t = 2

The formula is given as;

P(t) = (t^2 + 100) ln (t + 2)

The rate of change refers to the first integral of the formula;

Thus we need to calculate this by the use of product formula;

The first differential of t^2 + 100 is 2t

while that of ln(t + 2) is 1/(t + 2)

P’(t) = 2t(ln (t+2)) + (t^2 + 100) (1/t+2)

Now, we substitute 2 for the value of t here.

P’(2) = 2(2)( ln (2 + 2) + (2^2 + 100)(1/(2+2))

P’(2) = 4 ln 4 + 104(1/4)

P’(2) = 4ln 4 + 26

P’(2) = 5.55 + 26 = 31.55 which is approximately 32

8 0

3 years ago

What is the prime factorization of 18? 2x3 2x9 2x3x3 2x3x9

liraira [26]

Answer: 2 × 3 × 3 or we can also write them as 2 × 32, where 2 and 3 both are prime numbers.

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3 years ago

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The cost (in dollars) of a custom made sweatshirt is represented by 3.5n +29.99, where n is the number of different colors in th

juin [17]

Answer:

$52.5n+449.85$

Step-by-step explanation:

The cost is given for 1 sweatshirt. To find the cost of 15 sweatshirts, we need to multiply the expression by 15. Let's do this:

$15(3.5n+29.99)\\=15(3.5n+29.99)\\=15(3.5n)+15(29.99)\\=52.5n+449.85$

This is the expression that represents the cost of 15 sweatshirts.

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3 years ago

Simplify the expression -8+3

MAXImum [283]

-8 + 3 is equal to -5.

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3 years ago

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The product of two consecutive positive integers is 56. Find the two integers

vredina [299]

Answer:

Two consecutive integers are of the form

x and x + 1

Their product is equal to 56

x(x + 1) = 56

Solve and find the two numbers x and x + 1. The above equation may be written as follows

x2 + x - 56 = 0

Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Step-by-step explanation:

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3 years ago