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horsena [70]
3 years ago
9

A new restaurant is having advertising flyers printed. The cost to design and lay out the flyer is $300. There is an additional

cost of $0.12 per flyer printed.
Identify the fixed cost and the variable cost of the partial variation.
(2 marks)

Fixed cost (b) = _________ Variable cost (m) = ___________

Write the equation representing this relationship in the form y=mx+b.
(1 mark)

c)Use your equation in (b) to determine the total cost of 300 flyers.
(2 marks)
Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0

Answer:

Fixed cost (b) = $300

Variable cost (m) = $0.12

y = 0.12(x) + 300

y = 0.12(300) + 300

y = 36 + 300

y = 336 flyers

Step-by-step explanation:

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How do I find x in this triangle?
Scilla [17]
Since the total degree of a triangle is 180, subtract 44 from 180 = 136. Divide it by two, and you get 68. I believe this is correct but don't take my word for it. Good luck!
7 0
3 years ago
Someone please help, its for a hw assignment I have due today. What is the equation of the line through (3, 7) that is perpendic
Brilliant_brown [7]

The required equation is:

y=-\frac{6}{5}x+\frac{53}{5}

Step-by-step explanation:

Let l_1 be the line through  (-1, -2) and (5, 3)

and l_2 be the line we require which passes through (3,7)

We have to find the lope of l_1 first

m_1=\frac{y_2-y_1}{x_2-x_1}\\=\frac{3-(-2)}{5-(-1)}\\=\frac{3+2}{5+1}\\=\frac{5}{6}

we have to find the equation of line perpendicular to l1

The product of slopes of two perpendicular lines is -1

Let m_2 be the slope of l_2

Then

\frac{5}{6}*m_2=-1\\m_2=-\frac{6}{5}

The general slope-intercept form is:

y=mx+b

Putting the value of slope

y=-\frac{6}{5}x+b

To find the value of b, we will put (3,7) in the equation

7=-\frac{6}{5}(3)+b\\7=-\frac{18}{5}+b\\b=7+\frac{18}{5}\\b=\frac{35+18}{5}\\b=\frac{53}{5}

Putting the values of b and m in standard slope intercept form:

y=-\frac{6}{5}x+\frac{53}{5}

Hence,

The required equation is:

y=-\frac{6}{5}x+\frac{53}{5}

Keywords: Equation of line

Learn more about equation of line at:

  • brainly.com/question/702593
  • brainly.com/question/7128279

#LearnwithBrainly

7 0
3 years ago
Given the function f(x)=9-2x, find x when f(x)=25<br><br> -41<br> 17<br> -8
tatyana61 [14]

Answer:

x = -8

Step-by-step explanation:

Set the function f(x)=9-2x equal to 25, and then solve the resulting equation for x:

9 - 2x = 25.

Isolate the -2x term by subracting 9 from both sides:

-2x = 16

Finally, solve for x by dividing both sides by -2:

x = -16/2, or x = -8

3 0
3 years ago
Read 2 more answers
22. Francisco is three years more than twice Jenna's age. Harrison is two years less than three times Jenna's age.
Jet001 [13]

Answer:

An expression for Francisco's age in terms of a is (2a+3)

An expression for Harrison's age in terms of a is (3a-2)

An expression for the sum of all  three ages, in terms of a is (6a+1)

Step-by-step explanation:

Let

a -----> Jenna's age

b -----> Francisco's age

c -----> Harrison's age

we know that

Francisco's age is two times Jenna's age plus three years

b=2a+3 -----> equation A

Harrison's age is three times Jenna's age minus two years

c=3a-2 ----> equation B

The sum of all  three ages, in terms of a is

(a+b+c) -----> equation C

substitute equation A and equation B in equation C

a+(2a+3)+(3a-2)

Combine like terms

(a+2a+3a)+(3-2)

6a+1

therefore

An expression for Francisco's age in terms of a is (2a+3)

An expression for Harrison's age in terms of a is (3a-2)

An expression for the sum of all  three ages, in terms of a is (6a+1)

6 0
4 years ago
Find the equation of the line that is parallel to the given line and passes through (5, -1). 32. y = 2x−7
Mkey [24]

To solve this problem, we need to use our knowledge that parallel lines have the same slope. If we have a line that is parallel to the line y = 2x - 7, our line must also have a slope of 2 (we know this line has a slope of 2 because it is in slope-intercept form, y=mx + b, where m represents slope and b represents the y-intercept).

Now, we can use our known slope and our given point to substitute into point-slope form, as shown below:

y = m (x - h) + k

y = 2 (x - 5) - 1

Next, we can simplify our equation by using the distributive property to get rid of the parentheses.

y = 2x - 10 - 1

Finally, we can complete our equation by computing the subtraction.

y = 2x - 11

We can conclude that this is the correct answer because if you plug in the point (5, -1) you get a true statement and it has a slope of 2.

Therefore, the answer is y = 2x - 11.

Hope this helps!

6 0
3 years ago
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