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Mrac [35]
3 years ago
10

Two is equal to 4 less than 3 times a certain number. Find the number.

Mathematics
2 answers:
HACTEHA [7]3 years ago
7 0

Answer:

2

Step-by-step explanation:

Let x be that certain number.

Two is equal to 4 less than 3 times x

2=3x-4

2+4=3x

6=3x

6/3=3x/3

2=x

That certain number is 2.

Allushta [10]3 years ago
5 0

Answer:

2

Step-by-step explanation:

2=3x-4

6=3x

x=2

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An electrician must use 15 miles of electrical cable between electric poles. How many yards of cable will be used?
Dmitry [639]

Answer:

The 3rd option or 39,600 would be the correct answer.

Step-by-step explanation:

Hope this helps:)

7 0
3 years ago
The revenue​ (in millions of​ dollars) from the sale of x units at a home supply outlet is given by ​R(x)equals=0.210.21x. The p
Natalka [10]

Answer: a) c(x) = 0.124x + 1.1, b) 13 units

Step-by-step explanation: Revenue function = R(x) = 0.21x

Profit function = p(x) = 0.086 - 1.1

Cost function = c(x) =?

A)

Recall that profit = total revenue - total cost

Hence, total cost = total revenue - profit

c(x) = 0.21x - (0.086x - 1.1)

c(x) = 0.21x - 0.086x + 1.1

c(x) = 0.124x + 1.1

B)

Break even point is the point where total revenue equals total cost

R(x) = c(x)

0.21x = 0.124x + 1.1

0.21x - 0.124x = 1.1

0.086x = 1.1

x = 1.1/0.086

x = 12.79 which is approximately 13 units

4 0
3 years ago
A 9-pack of toaster pastries costs $3.60. What is the unit price?<br> per pastry
lina2011 [118]

Answer:.40 cents

Step-by-step explanation: divide the total cost by the amount of items you have.

7 0
3 years ago
Dinesh has been keeping track of his time at work over the past month. Answer the questions below using the information provided
Gala2k [10]

The total hours that Dinesh worked each week over the past month are as follows:

<h3>Dinesh's Time in Hours</h3>

                Total Hours

                   Worked

Week 1        37.500    

Week 2       36.071

Week 3      35.999

Week 4      34.570

Total          144.140

<h3>Data and Calculations:</h3><h3>Dinesh's Time in Hours</h3>

                Meetings  Administration   Project X -  Project X-  Total Hours

                                                               Design   Deliverables    Worked

Week 1        7¹/₄               4¹/₄                  23¹/₃              2²/₃

Week 2       4²/₃              2⁴/₇                  16¹/₃              12¹/₂

Week 3      3.50             3.83                9.33              19.33

Week 4      6.17                3.40                4.20              20.80

<h3>Conversion into Dinesh's Time in Hours (decimals)</h3>

                Meetings  Administration   Project X -  Project X-  Total Hours

                                                              Design   Deliverables    Worked

Week 1        7.250            4.250           23.333           2.667          37.500    

Week 2       4.667            2.571             16.333         12.500          36.071

Week 3      3.500            3.833              9.333          19.333         35.999

Week 4       6.170            3.400             4.200        20.800          34.570

Total        21.587            14.054            53.199        55.300         144.140

Thus, Dinesh's total hours worked for the past month was <u>144.140 hours</u>.

Learn more about calculating hours worked at brainly.com/question/17054097

#SPJ1

8 0
2 years ago
For the function f(x)=ax^3+bx^2-5x+9, determine the values of a and b so that f(-1)=12 and f'(-1)=3
Alecsey [184]

If

<em>f(x)</em> = <em>ax</em> ³ + <em>bx</em> ² - 5<em>x</em> + 9

then

<em>f '(x)</em> = 3<em>ax </em>² + 2<em>bx</em> - 5

Given that <em>f</em> (-1) = 12 and <em>f</em> '(-1) = 3, we get the system of equations

-<em>a</em> + <em>b</em> + 5 + 9 = 12

3<em>a</em> - 2<em>b</em> - 5 = 3

or

-<em>a</em> + <em>b</em> = -2

3<em>a</em> - 2<em>b</em> = 8

Multiply through the first equation by 2 and add it to the second one to eliminate <em>b</em> and solve for <em>a</em> :

2(-<em>a</em> + <em>b</em>) + (3<em>a</em> - 2<em>b</em>) = 2(-2) + 8

-2<em>a</em> + 2<em>b</em> + 3<em>a</em> - 2<em>b</em> = -4 + 8

<em>a</em> = 4

Substitute this into the first equation above to solve for <em>b</em> :

-4 + <em>b</em> = -2

<em>b</em> = 2

4 0
3 years ago
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