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.

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

-Chetan K

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 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!

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.

Step-by-step explanation:

please mark as brainliest

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

Answer:

1/2(x + 1)

Step-by-step explanation:

1/2x + 1/2

1/2(x + 1)

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!

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.

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

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.

~

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!!

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

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.

The solution of the linear equation is d equals 1.

The linear equation is;

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

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

Answer:

c-3=

Step-by-step explanation:

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

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.

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.

Learn more about the trigonometry here;

https://brainly.com/question/21286835

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.

Answer:

36

Step-by-step explanation:

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

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!

Answer:

192

Step-by-step explanation:

multiply 32x6 and you will get your answer

Answer:

32minutes divided by 8minutes then multiply by 6

Answer:

x = 6.3

Step-by-step explanation:

hope this helped <3

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.

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.

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."

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