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.

1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answers

Answer 1

Answer:

1.) the y intercept is 490 and the slope is -2/3x2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right3.) f(x)= -2/3x+490The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.  4.) graph down below5.) the profits are the same (slope) but the y intercept is higher then the original graph.6.) y=-2/3x+300

Step-by-step explanation:

some of these are part of the problem as well.1.)  2x+3y=1,470  3y=-2x+1,470-2x+1,470/3-2/3x + 490y=-2/3x + 490the y intercept is 490 and the slope is -2/3x2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right3.) f(x)= -2/3x+490The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.  5.) 2x+3y=1,5933y=-2x+1,593y=-2/3x+531the profits are the same (slope) but the y intercept is higher then the original graph.6.) (150, 200) (300, 100)y intercept= 300m= 100-200/300-150 = -100/150 = -2/3y=-2/3x+300


Related Questions

Avi measures a leaf and finds it is 10.5 centimeters long. How many millimeters long is the leaf? 1 cm = 10 mm 1050 mm 105 mm 1.05 mm 0.105 mm

Answers

Answer:

105 mm

Step-by-step explanation:

The leaf is 10.5 centimeters, and every centimeter equals 10 milimeters, so you multiply the leaf's length by 10 to convert it.

10.5 * 10 = 105, and that's the result.

reduce all answers to their lowest terms
7/9 ÷ 3/5

Answers

Answer:

3 5/6

Step-by-step explanation:

First you have to switch the right fraction around, making it 5/3, which will make the equation a multiplication one; 7/9 x 5/3

then you have to find the lowest common multiple between the denominators. which is 3.

then for the seven you have to do the same thing for the top that you do to the bottom.

then you have to multiply the two numerators; 11.5/3.

then you have to make it a mixed number.

so the final answer is 3 5/6.

help please i will give brainlest

Answers

Your answer is B. 3 13/24

Hoped this helped :)

Have a wonderful day-

Hi!

The answer to your question is B (3 13/24)

Here is the math to prove it:

7 1/6 - 3 5/8

is the same as

43/6−29/8=

43⋅4−29⋅3/24=

85

-

24

which is the same as 3 13/24

I hope this helps!

Have a good day/night!

God bless!

If I'm right feel free to mark brainliest!

Carlos is making a wood picture frame. the picture frame is 11 inches by 14 inches. after nailing the frame together, Carlos measures the diagonal. if the diagonal is 19 inches long, does the frame have 90 degree corners? explain.

Answers

Answer:
Hope that helps! Have a good day :)

please help me factor 1/2x + 1/2

Answers

Answer:

1/2(x + 1)

Step-by-step explanation:

1/2x + 1/2

1/2(x + 1)

HELPP I PUT MORE POINTS

Answers

Answer:

TV = 48

Step-by-step explanation:

We can see that SW is twice the length of WV

42/21 = 2

We can find the length of TV this way

TU = 16 x 2TU = 32TV = 32 + 16TV = 48

-Chetan K

Pls help for brainliest
Jake is 3 years younger than his brother, Chris. If Chris is c years old, which expression can be used to find Jake's age?

Answers

Answer:

c-3=

Step-by-step explanation:

C substitute Chris's age and you would subtract 3 years to find Jake's age

Grayson uses a program that allows him to keep track of how much money he earns and spends each week. Which type of data will be used to give him the answer to the following question?

"Do I have $4 to buy ice cream?"

Boolean
Images
Numbers
Text

Answers

Answer:

I believe the answer is A boolean I don't know for sure though

Step-by-step explanation:

I would advise you to look through the lesson to help with hard questions!!

Also if you get it wrong please let me know my apologies if you do.

What is the value of x?. Round to the nearest tenth, if necessary. X = 6 x = 6. 3 x = 7 x = 9. 2.

Answers

Answer:

x = 6.3

Step-by-step explanation:

hope this helped <3

co to y i co to x
5x + y = 11
3x - y = 9

Answers

Answer:

Equation Form

x = [tex]\frac{5}{2}[/tex]    

y = [tex]-\frac{3}{2}[/tex]

Point Form= ( [tex]\frac{5}{2}[/tex] ,  [tex]-\frac{3}{2}[/tex])

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

BRAINLIST IF CORRECT!
Need help asap. m

Answers

The answer for this is

what is the measure of x if you have 4x +x = 180

Answers

Answer:

36

Step-by-step explanation:

4x +x = 180
5x=180
x=180/5
x=36

Use the equation below to find T, if w=85, m= 12, and a=3.
T=w-ma
T = 3,060
X
?

Answers

Answer:

T = 49

Step-by-step explanation:

T = w - ma

w = 85

m = 12

a = 3

Plug in the corresponding numbers to the corresponding variables:

T = (85) - (12) * (3)

Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

First, multiply, then subtract:

T = 85 - (12 * 3)

T = 85 - 36

T = 49

T = 49 is your answer.

~

Complete the table.
Fraction Percentage
50%
2/1
7/10
67%
9/2

Answers

1/2= 50
2/1= 200
7/10 =70
2/3=67
9/2=450

Very confused*** help

Answers

First way of finding area is the usual formula.

Area of a rectangle = Length × Breadth

= 3x × x

= 3x^2

Second way of finding area of the bigger rectangle is adding both the rectangles' areas and subtracting by the area of the smaller rectangle.

Area of smaller rectangle:

Length × Breadth = 2 × x

= 2x

Area of bigger rectangle + Area of smaller rectangle = 3x^2 + 2x

Subtracting it by the area of the smaller rectangle:

3x^2 + 2x - 2x = 3x^2

Help please! With both questions!!!!

Answers

1st question
explanation: to find the hypotenuse for the 45-45-90, you need to multiply the leg (1) by √2

ans: √2

2nd question
explanation: to find the long leg for the 30-60-90, you need to multiply the short leg (1) by √3

ans: √3

John scored 6 points in the first 8 minutes of the basketball game. At this same rate, how many points
will he score in a full 32 minute game?

Answers

Answer:

192

Step-by-step explanation:

multiply 32x6 and you will get your answer

Answer:

32minutes divided by 8minutes then multiply by 6

What is the solution to the linear equation? d – 10 – 2d 7 = 8 d – 10 – 3d.

Answers

The solution of the linear equation is d equals 1.

Given

The linear equation is;

[tex]\rm d- 10-2d+7=8+d-10-3d[/tex]

What is a linear equation?

A linear equation is an equation for a straight line.

To determine the solution of the linear equation following all the steps given below.

The solution of the equation is;

[tex]\rm d- 10-2d+7=8+d-10-3d\\\\d-2d-10+7 = 8-10+d-3d\\\\-d-3=-2-2d\\\\-d+2d=-2+3\\\\d=1[/tex]

Hence, the solution of the linear equation is d equals 1.

To know more about the Linear equation click the link given below.

https://brainly.com/question/10472434

What is ∑n=16[4(−5)n−1] equal to?

Enter your answer in the box.

Answers

Step-by-step explanation:

Geometric Sequence formula for general term:

an = a1(r^n-1)

a1 = 4 × (-5)^1-1

a1 = 4

r = -5

Summation formula for geometric sequence :

Sn = a1 ( 1 - r^n / 1 - r )

...take n from the top of the summation.

= 4 ( 1 -(-5)^6 / 1 -(-5)

= -10416.

If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building? Round the answer to the nearest tenth of a foot. 10. 3 ft 17. 6 ft 30. 2 ft 97. 2 ft.

Answers

The tan angle opposite to opposite side and the hypotenuse is the ratio of opposite side to the hypotenuse side.

The distance between the building and Diana after walking is,17.6 ft.

How to calculate the sides of right angle?

The tan angle opposite to opposite side and the hypotenuse is the ratio of opposite side to the hypotenuse side.

Given information-

The height of the building is 130 ft.

Initial angle of the Diana with the building when she looks up, is 37 degrees.

The angle when, Diana walks forward looking to the top of the building changes to 40°.

Suppose Diana was x meter away, from the building when the angle was 37 degrees.

The  Diana walks forward and her angle looking to the top of the building changes to 40°.

As tan angle is the ratio of opposite side to the hypotenuse. Therefore

[tex]\begin{aligned}\tan (37^o)&=\dfrac{130}{x}\\x&=172.5\\\end[/tex]

Now suppose the distance covered by Diana after walking is y ft. Thus again by the right angle property,

[tex]y=\dfrac{130}{\tan40}\\y=154.9[/tex]

As the initial distance from building is 172.5 fr and distance covered by Diana is 154.9 ft. Thus the distance between the building and Diana after walking is,

[tex]d=172.5-154.9\\d=17.6\rm ft[/tex]

Hence the distance between the building and Diana after walking is,17.6 ft.

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please help!! this is algebra 2​

Answers

Answer:  The last one bc it the same thing!

Step-by-step explanation: one 5/3 is the exact same as 5/3! and for the last one says -5/3

It would be the last one!

confused on what this answer is can you guys help me?

Answers

Answer:

13.47 m

Step-by-step explanation:

let the angle formed by the shadow on ground be x

tan x = 1.65/(34.55-30 4)

tan x = .39

.39 = tree ht/34.55

tree ht = 13.47m

What is the solution to these system of equations x+y=-2 and y=x+4

Answers

Answer:

x-y =2 …(1)

x+y = 4 …(2)

add (1) and (2), to get

2x = 6, or x = 3. From (1) y = 3–2 = 1.

So x = 3, y = 1.

2 - 6 +18 - ... +1458
Determine the number of terms in the geometric series

Answers

Answer:

  7

Step-by-step explanation:

The first term is 2. The common ratio is -6/2 = -3. The n-th term is ...

  an = a1·r^(n -1)

Using the last term value, we have ...

  1458 = 2·(-3)^(n -1)

  729 = (-3)^(n -1)

Taking logarithms, we have ...

  log(729) = (n -1)·log(|-3|)

  n = 1 +log(729)/log(3) = 1 +6 = 7

The series is 7 terms long.

__

There are few enough terms that we can write them all out:

  2 -6 +18 -54 +162 -486 +1458

__

Additional comment

Had it worked out that n was computed to be an even number, we would have to declare "no solution."

need help plz in this question

Answers

Step-by-step explanation:

please mark as brainliest

Solve this for branliest answer!

Answers

Answer:

(θ) = 84°

Step-by-step explanation:

Given: sin(θ)=cos(6)

Find: value of θ

Computation: sin(θ)=cos(6)

We know that  cos(90-a) = sin(a)

So, sin(θ)=cos(90-84)   sin(θ)=sin(84)  

So, (θ) = 84°

Ella sold 37 necklaces for $20 each at a craft fair. She is going to donate half of the money she earned to charity. Use the Associative Property to find how much money she will donate. Include your expression and answer.​

Answers

Ella sold 37 necklaces for $20 each at the craft fair. She is going to donate half of the money she earned to charity. Use the Commutative Property to mentally find how much money she will donate. Explain the steps you used.

Solution:

Earning from 1 necklace=$20

Earning from 37 necklaces=$20*37

Half of the earnings= Half of the earnings=$10*37

Now, Applying Commutative Property, a*b=b*a

So, Money she needs to donate= Half of the earnings= 10*37 =37*10

So, Money she donates=$370

the money she will donate=$370

Hope this helps!

Which point on the number line represents the number 4?

Answers

Answer:

the forth point

Step-by-step explanation:

first locate 4x2= 8 go to 8 then half it 8/2 and go down to the 4th point and voila

Solve for m.
2= m/2 -7
M=

Answers

Answer:

m=18

Step-by-step explanation:

First add 7 to both sides.

2+7=m/2

Simplify 2+7 to 9

9=m/2

Multiply both sides by 2

9*2=m

Simplify 9*2 = 18

18=m

can you please help me :) thanks

Answers

Answer:

your first one is wrong the answer to that is 10.5

and then 2.5 three times

Step-by-step explanation:

Answer:

a.) 3.5 + 3.5 + 3.5 = 10.5

b). 2.5 + 2.5 + 2.5 = 7.5

Step-by-step explanation:

I hope this helps! Have a great day!!

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