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joja [24]
2 years ago
15

I think of a number. I add 3 then divide it by 2. My answer is 12. Form an equation and solve it to find my number.

Mathematics
2 answers:
Sunny_sXe [5.5K]2 years ago
7 0

Answer:

21

Step-by-step explanation:

21 plus 3 equals 24 divided by 2 equals 12

Scilla [17]2 years ago
7 0

Answer:

The answer is 21.

Step-by-step explanation:

21+3 equals 24, and 24 divided by 2 equals 12. And 12x2 equals 24. :)

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Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
Judy's heart beats 70 times a minute. At this rate, how many times does it beat per hour?
Studentka2010 [4]

Answer:

<h2>4200 times</h2>

Step-by-step explanation:

70\:times = 1\:minute\\x\:times\:= 60\:minute\\\\Cross\:multiply\\ x = 70 \times 60\\\\x = 4200\\\\= 4200 \:times\:in\:an\:hour\\\\Note: 60\:minutes = 1 \:hour

3 0
3 years ago
Read 2 more answers
.<br>The curved surface of cylinder is 484 cm^2 and height is 5.5 cm. Find its radius.​
s344n2d4d5 [400]

Answer:

r=14cm

Step-by-step explanation:

Curved Surface area of a cylinder=484cm²

Height=5.5cm

r=?

Curved Surface Area=2πrh

484=2×3.142×r×5.5

484=34.56r

r=484/34.56

r=14cm

3 0
3 years ago
Read 2 more answers
in a small town named Irun, the population today is 5746. For the last 6 years, the population has grown by 12% every year. If t
mafiozo [28]

Answer: The correct answer is 20,236 people

Step-by-step explanation: If the population is 5746 people today and every year the population increases by 12%, this means that 690 more people come to Irun. (5746 x 0.12= 689.52 rounded to 690) Thus if you multiply 690 x 21 (years)= 14,490 people. 14,490 + 5746= 20,236 people in 21 years

6 0
3 years ago
a. obtain the equation of the estimated regression line and use it to calculate a point prediction of ammonium concentration for
Alex Ar [27]

The  equation of the regression line is  \bar{y}=9.1006+(-0.2157)x and the point prediction of ammonium concentration for 25ml/h is  \bar{y}=3.7081

<h3>What is meant by regression line?</h3>

A regression line is an approximation of the line that describes the true, but unknown, linear connection between two variables. The regression line equation is used to predict (or estimate) the value of the response variable from a given value of the explanatory variable.

In statistical modeling, regression analysis is a collection of statistical techniques for estimating the associations between a dependent variable and one or more independent variables.

a) \bar{y}=β₀+β₁x

Where,

β₁=S_{xy}/S_{xx} -------(1)

Where,

S_{xy}= -341.959231

S_{xx}1585.230769

By substituting these values in equation 1 we get,

β₁= -0.2157

β₀= \bar{y}-β₁x

Where,

\bar{y}=∑y_{i}/n

∑y_{i}=52.8

n=13

Then,

\bar{y}=4.0615

\bar{x}=∑x_{i}/n

∑x_{i}=303.7

n=13

\bar{x}=23.3615

β₀=4.0615-(-0.2157)(23.3615)

=9.1006

Therefore, β₀=9.1006

The regression equation is  \bar{y}=9.1006+(-0.2157)x

If x=25,

\bar{y}=9.1006+(-0.2157)(25)

\bar{y}=3.7081

To know more about regression line, visit:

brainly.com/question/7656407

#SPJ4

7 0
1 year ago
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