Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Sal's Sandwich Shop Sells Wraps And Sandwiches As Part Of Its Lunch Specials. The Profit On Every Sandwich

Answers

Answer 1

Answer:

y = -2/3x + 300

Step-by-step explanation:

Since the line is linear, we can find the equation of the line in y=mx+b form.

First, you have to find the slope using the slope formula.  Pick two points from the graph and plug it into the equation.  It doesn't matter which ones; you will get the right answer regardless.  I picked the points (0, 300) and (450, 0).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{300 -0 }{0 -450 }\\m=\frac{300}{-450} \\m=-\frac{2}{3}[/tex]

You now have slope (m).  You have to find the y-intercept (b) next.  The y-intercept is the point where the line crosses the y-axis.  For this graph, the line crosses the y-axis at (0, 300), making the y-intercept 300.

Since you have m and b, you can plug the values into y=mx+b.

y = mx + b

y = -2/3x + 300


Related Questions

It takes five people four hours to paint a fence.

How long would it take ten people to paint the same fence at the same rate?

Remember to include units in your answer.

Answers

Answer:

2 hours

Step-by-step explanation:

First, we notice that the time taken to paint a fence is inversely proportional to the number people used because as the number of people increase, the time taken to paint the fence decreases.

5 people can paint a fence in 4 hours.

1 person can paint a fence in = 5 x 4

                                                = 20 hours

10 people can paint the fence in = 20/10

                                                      = 2 hours

plz mark as brainliest

Construct a difference table to predict the next term of the sequence.
1, 8, 18, 31, 47, 66, . . .

Answers

Answer:

88

Step-by-step explanation:

8-1=7

    +3

18-8=10

       +3

31-18=13

        +3

47-31=16

          +3

66-47 = 19

             +3

x - 66 = 22

  +66   +66

x= 88

Peter bought 12 collectable coins for $8.00. What was the price per coin? How did you get that answer?

Answers

Answer:

Step-by-step explanation:

8.00/12= $0.60 a piece

A car traveled 3⁄4 mile in one minute at constant speed. What was the speed of the car in miles per hour?

Answers

Answer:

45 mph

Step-by-step explanation:

3/4x60=45

URGENT PLEASE!! I’ll give you brainliest! You just have to find x

Answers

Step-by-step explanation:

3(x+2)-(2x-1)=4(3-x)

3x+6-2x+1=12-4x

3x-2x+4x=12-6-1

5x=5

x=1

Answer:

x=1 2/5

Step-by-step explanation:

3x+6-2x-1=12-4x

x+5=12-4x

  -5   -5

x=7-4x

+4x  +4x

5x=7

/5   /5

x=7/5

x=1 2/5

Bernie’s estimated that 69% of 242 is 168 is her estimate reasonable

Answers

Answer:

Yes it is.

Step-by-step explanation:

Best way is to use percentages you know when estimating.

We know 50% is half.

50% of 242 is 121.

So it has to be more than 121.

10% of 242 is 24.2  so add that to 121 and you get 145.2

You are 60% so far. You just need 9% more.

Add another 10% which is 24.2 and you get 169.4, which is over but we used 10% instead of 9% so the estimate is reasonable and close.

Write an equation of the direct variation (the line has a y-intercept of (0,0)) that includes the point (3,18).
Desmos Graphing Calculator
Algebra I STAAR Formula Chart
Calculator
Y=12
y = -6x
y 63

Answers

Answer:

b

Step-by-step explanation:

PLEASE ANSWER THIS ASAP !!!!!!

Answers

Answer:

y = - x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus

y = - x ← equation of line

Can someone help me with this please

Answers

Answer:

The 3rd one

Step-by-step explanation:

The rest have dilations, which change the size of the shape. The rest are literally just moving the shape around.

1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money the man collected at the end of the 5-year period. 2.) Mr. Ford invested $12 450 in a bank at 7.25% per annum simple interest for 6 years. Calculate: a.) The interest he was paid b.) The total of amount of money he would have received at the end of the period of investment. 3.) The simple on $15 000 for 9 years is interest is paid when $800 is invested for 5 years.

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

Using formula:

[tex]\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+ \text{Simple Interest}[/tex]

In question (1):

[tex]Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5[/tex]

In point a:

[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times 8 \times 5)}{100}\\\\ \to 240[/tex]

In point b:

[tex]\to amount = principle \ +\ simple \ interest[/tex]

                 [tex]= 600 + 240 \\\\= 840[/tex]

In question (2):

[tex]Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6[/tex]

In point a:

[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times 7.25 \times 6)}{100}\\\\ \to 5,415.75[/tex]

In point b:

[tex]\to amount = principle \ +\ simple \ interest[/tex]

                 [tex]= 12,450 + 5,415.75 \\\\= 17,865.75[/tex]

The 3 question is incomplete, that's why it can't be solved.

pls :,) i suck at math

Answers

Answer:

60%

Step-by-step explanation:

The original was $20 to $12, so if you divide both prices by 2 (to make one side 10 and the other the simplified percentage) you get:

10 to 6.

Percentages are typically x% out of 100, so if you multiply both by 10 you get:

100 to 60. All you have to do now is change the format to percentage instead of a fraction (60/100) and the answer is 60%.

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

Answer:

a i think

Step-by-step explanation:

how to find the value of a+b+c given that a=4,b=3 and c= -2

Answers

Answer: 5

Step-by-step explanation: 4 + 3 + -2 = 5

help plz ............... ​

Answers

Answer:

1.869 more miles

Step-by-step explanation:

the formula is

[tex]distance\:of\:jake-distance\:of\:tom\\\\=4.89-3.021\\\\=1.869miles[/tex]

Answer:

1. 869 miles farther

Step-by-step explanation:

4.89-3.021= 1.869miles

Therefore, Jake went 1.869 miles farther than Tom did.

I need help with my math homework. It would mean a lot to me if someone coupd explain it. Ill type the directions. It says: Using the graphs below, write the linear equation of the line in slope intercept form (use format: no spaces, y=mx+b) ansaers and earn pixels for correct answers. Answer all 18 problems correctly to reveal the pixel art image. Here are the graphs I need to do. Please help me out if you can. I will make another question on my account so I can add more pictures of the graphs because I can only do five on here.

Answers

Ok I will definitely help you.

Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 2.
How many different sets of 4 digits could it be?

Answers

Step-by-step explanation:

1st digit : 1 / 2 / 4 / 5

4th digit : 0 / 2 / 4 / 6 / 8

Total number of sets = 4 * 10 * 10 * 5 = 2000.

Eric bought a ruler for $1.29 and an eraser for $0.39. He paid with $2.00. What is the correct amount of change he should get back?

Answers

Answer:

$0.32, so a quarter a nickel and 2 pennies

Step-by-step explanation:

Answer:

$0.32

Step-by-step explanation:

First, add $1.29+$0.39 to get the total amount of the transaction.

$1.29+$0.39 = 1.68

Then, subtract that from the amount paid.

$2.00-$1.68

= $0.32

the one of the following is NOT a measure of central tendency?____
a) mean. B) median. c) range. d) mode ​

Answers

Answer:

D). Mode

Step-by-step explanation:

I hope this helps!! Have a good day!

Answer:

they all are.

Step-by-step explanation:

They all are a measure of central tendency Standard deviation is not. Hope this helps :D

-6m - 1 = -31

m = ___

please show work

Answers

ANSWER:

M = 5

Step 1: Add 1 to both sides of the equal sign

-6m-1+1=31+1

-6m=-30

Step 2: Divide both sides by -6

-6m/6 = -30/-6

(Note: Both -6 values (The denominators) will cancel each other out, which is why the end result is 5 so, again, M=5)

what is the equation of a line parallel to y=4/5x+2 that passes through 1,2

Answers

Answer:

4/5x+6/5

Step-by-step explanation:

not sure but i have my ways with equations lol

y equals the quotient of the quantity x squared plus 4 times x and the quantity x cubed minus 5.

Answers

Given:

Consider the completer question is "Find the derivative [tex]\dfrac{dy}{dx}[/tex] for [tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]."

To find:

The derivative [tex]\dfrac{dy}{dx}[/tex].

Solution:

Chain rule: [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]

Quotient rule: [tex]\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]

We have,

[tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]

Differentiate with respect to x.

[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)[/tex]

Using chain rule and quotient rule, we get

[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex]

Therefore, the required answer is [tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex].

Which expression is equivalent to 4(9k+3)? A) 4(-7k+16k+3) B) 3(9k+4) C) 4(3k+9) D) 9(3k+4)

Answers

Answer:

Option A "4(-7k+16k+3)" would be the appropriate choice.

Step-by-step explanation:

On solving the equation, we get

⇒ [tex]4(-7k+16k+3)[/tex]

On applying BODMAS rule, we get

⇒ [tex]4(9k+3)[/tex]

Therefore,

⇒ [tex]4(9k+3)=4(-7k+16k+3)[/tex]

All other given options are not seems to be the equivalent of the given expression "4(9k+3)". So the above is the right approach.

Mr Mason asks 240 year 11 students what they want to do next year. 15% of the students want to go to college. ¾ of the students want to stay at school. The rest of the students do not know. Work out the number of students who do not know.

Answers

Answer:

Number of students who do not know = 24

Step-by-step explanation:

Year II students = 240

15% of the students want to go to college.

Number of year II students who wants to go to college = 15% of 240

= 15/100 × 240

= 0.15 × 240

= 36

¾ of the students want to stay at school.

Number of students who wants to stay at the school = 3/4 × 240

= (3 × 240) / 4

= 720 / 4

= 180

Number of students who do not know = Total year II students - Number of year II students who wants to go to college - Number of students who wants to stay at the school

= 240 - 36 - 180

= 24

Number of students who do not know = 24

The volume of an Amazon package is given by the function below.

8x^3+30x^2+13x−15


A. What is the area of the bottom of the box if the width is (4x+5) and the length is (x+3)?

B. Using the volume formula, find the height of the package. (V=lwh)

Please show work

Answers

Answer:

Step-by-Step Explanation:

Area of the base = length × breadth

= (4x + 5) (x + 3)

= 4x(x + 3) + 5(x + 3)

= 4x² + 12x + 5x + 15

= 4x² + 17x + 15

_____________________________________

Volume = length × breadth × height

8x³ + 30x² + 13x - 15 = (4x + 5)(x + 3) × h

[tex] \frac{ 8x³ + 30x² + 13x - 15 }{(4x + 5)(x + 3)} = h[/tex]

Could u help me !! Plz I will gave Brainliest

Answers

Answer:

1.) 120.722222206 or  120.72

2.) 650.250000382 or 650.25

Step-by-step explanation:

The slope of a vertical line is:

Answers

Answer:

The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

the slope of a virtual lin.e is change in Y / change in X

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points. What is the minimum number of points that Madeline needs to earn?

F. x ≥ 96
G. 96 ≥ x
H. x ≤ 16
J. 16 ≤ x

Answers

I think the answer would be letter H

The solution is : she needs at least 16 points.

x + 64 ≥ 80

x ≥ 16

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Given

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.

so,

Total = 80 (at least)

accumulated = 64

Required

Express as an inequality

In inequalities, at least means ≥

So, the expression is:

Where x represents the additional points

x + 64 ≥ 80

Solve for x

x ≥ 16

Hence, she needs at least 16 points.

To learn more on inequality click:

brainly.com/question/24853349

#SPJ3

what is 1+1, please answer

Answers

Answer:

Your answer is 2.

Step-by-step explanation:

You use the normal way of adition.

 1

+1

___

 2.

Hope this helps!

Dawn made a $10,000 down payment on a home financed at 8%. What is the cost of the home?
A. $85,000
B. $125,000
C. $80,000
D. 8,000
I don't understand how you would be able to determine the cost of the house with a down payment and finance rate.

Answers

Answer:

$125,000

Step-by-step explanation:

the cost of the home = (10,000/8)*100 = $125,000

Answer:

125,000

Step-by-step explanation:

4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%

Answers

Answer:

what are you asking though

Determine which situation could be represented by the system of linear equations given below

Answers

The answer is
56x-(23y)^9/3 = 42
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