Without graphing, find the slope of the line that goes through. MUST SHOW WORK

Answer:

The explicit formula that represents the amount of money left on the card

is a[tex]_{n}[/tex] = 53.25 - 3.25n

The value of the card after 12 lunches is $14.25

Step-by-step explanation:

The explicit formula of the arithmetic sequence is a[tex]_{n}[/tex] = a + (n - 1)d, where

In the question

∵ You have 50 dollars

∵ The money left after lunch on Monday is 46.75 dollars

∵ The money left after lunch on Tuesday is 43.50 dollars

∴ The terms of the sequence are 50, 46.75, 43.50

∵ 46.75 - 50 = -3.25

∵ 43.50 - 46.75 = -3.25

→ That means there is a common difference between each 2 terms

∴ d = -3.25

∵ a = 50

→ Substitute the values of a and d in the rule above

∴ a[tex]_{n}[/tex] = 50 + (n - 1)(-3.25)

→ Simplify it

∵ a[tex]_{n}[/tex] = 50 + -3.25(n) + -3.25(-1)

∴ a[tex]_{n}[/tex] = 50 - 3.25n + 3.25

→ Add the like terms

∴ a[tex]_{n}[/tex] = 53.25 - 3.25n

∴ The explicit formula that represents the amount of money left on the

   card is a[tex]_{n}[/tex] = 53.25 - 3.25n

∵ n is the number of lunches

∴ n = 12

→ Substitute n by 12 to find the amount of money left on the card

∵ a[tex]_{12}[/tex] = 53.25 - 3.25(12)

∴ a[tex]_{12}[/tex] = 14.25

∴ The value of the card after 12 lunches is $14.25

Answer:

c and g

Step-by-step explanation:

Answer:

y=5/3x−6

5/3 is your slope

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y = 5x - 18 ( divide all terms by 3 )

y = [tex]\frac{5}{3}[/tex] x - 6 ← in slope- intercept form

with slope m = [tex]\frac{5}{3}[/tex] and y- intercept c = - 6

Answer:

where are the options please

Answer:

24 > 17 1/2 > 6.9 > 2 > 1.45 > - 1/4 > - 5.1

Step-by-step explanation:

Given the following temperature values :

2, 6.9, 17 1/2 , −5.1, 24, − 1/4 , and 1.45.

Ordering the values above from greatest to least ; (descending order)

Expressing all temperature values in the same format :

Let's make sure all values are in decimal to make comparison easier :

2.0

6.9

17 1/2 = 35/2 = 17.5

-5.1

24.0

-1/4 = - 0.25

1.45

We begin from the temperature value which is highest :

24 > 17.5 > 6.9 > 2.0 > 1.45 > - 0.25 > - 5.1

Hence ;

24 > 17 1/2 > 6.9 > 2 > 1.45 > - 1/4 > - 5.1

Answer:

1 1/4 hours

Step-by-step explanation:

.75/.6=x/1

cross multiply

.75=.6x

divide by .6

x=1.25 hours

(I didn't write this awnser it was written by

Katieg3593 I just thought I would share the awnser).

Answer:

x = 6

Step-by-step explanation:

Vertical angels are always equal, there fore angle A = angle B.

If angle A = angle B, and

angle A = 3x - 9 and angle B = x + 3, then

3x - 9 = x + 3

Now you can solve this like a regular inequality

Start by subtracting x by it's self then 3x to get both variables on one side.

2x - 9 = 3

Now you can add 9 to it's self and to 3 on the other side.

2x = 12

Finally, divide 2 by it's self and 12.

x = 6

Total slices required for children,

[tex]C = \dfrac{40}{2}\times 1\\\\C = 20\ slices[/tex] .

Total slices required for adults,

[tex]A=\dfrac{2}{3}\times 60\times 2\\\\A = 80\ slices[/tex]

So, total slices required are, 20 + 80 = 100 .

Number of pizza, n = 100/8 = 12.5

So, he has to order 13 pizza cause pizza cannot be purchased in fraction.

Total price, P = 13 × 9 = $117 .

Hence, this is the required solution.

Answer:

40 cm

Step-by-step explanation:

You do your area divided by your width I think (don't trust my answer)

Answer:

18

Step-by-step explanation:

So base of 300/week.

We subtract 300 from 1020, leaving 720.

Divide 720 by 40 (because that is the amount per sale), we get 18.

Answer:

19/2

Step-by-step explanation:

This problem is a problem desgined to test your basic understanding of Trigonomic functions and there applictoins.

Sec theta is the inverse of cos theta, which means sec theta is equal to adjecent / opposite.

They already gave you cos theta which is 2/19

We should know that from 0 to 90 degrees, sec theta is postive.

so sec theta is 19/2

Answer: D

Step-by-step explanation:

Answer:

sorry I'm not interested

Step-by-step explanation:

i hope you get some payers tho. and earn a bit of money!

Answer:

exact form: 29/4

mixed fraction: 7 1/4

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

Yes, you have enought money

Step-by-step explanation:

45 times 107% (100 for the total cost and and 7 for the tax) is equal to 48.15. You have 50 dollars, therefore you can buy your shoes.

Answer:

It's 8.275. Hope that helped...

Answer:

18 pitches.

Step-by-step explanation:

I'm assuming the "9 out of 15" is the fraction of pitches Tony hit at baseball practice.

Hence, Tony missed 6 out of 15 pitches.

6/15 * 45

= 6 * 3

= 18 pitches.

Hope this helped!

Answer:

18

Step-by-step explanation:

You have to start with how many he hit.

Let the number of pitches he hit = x

9/15 = x / 45            Cross multiply

15x = 9 * 45             Combine the right side

15x = 405                Divide by 15

x = 405/15

x = 27

===================

The number he missed is 45 - 27 = 18

Answer: for areas

1. (B+7)(a)

2.(c-12)(b)

3.(d+1)(2c)

4. (E-5)(5d)

5. (7e)(5e)

6. (6f+2)(3f)

7.(5g+3)(4g)

For perimeters

1. 2(b+7)+ 2(a)

2. 2(c-12) +2(b)

3. 2(d+1)+2(2c)

4. 2(e-5) +2(5d)

5. 2(5e+7e)

6. 2(6f+2) +2(3f)

7. 2(5g+3) +2(4g)

Step-by-step explanation: I just substituted in the values for the formulas. I hope this helps;)

Answer: 1/3x -2

Step-by-step explanation:

X-3y =6 subtract x from both sides first

-3y=6-x. Then divide both sides by -3

Y= 6-x /-3 simplify

Y= -2+x/3 rearrange

Y= 1/3x -2

Answer:

f = 4

Step-by-step explanation:

Answer:k=5b/4 - 3/4

Step-by-step explanation:

Answer:

[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]

Step-by-step explanation:

-3k + 7k = 5b - 3

4k = 5b - 3

[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]

Answer:

See explanation

Step-by-step explanation:

Given a long algebraic equation, the like terms can be collected. When you collect like terms, you reduce the length of the algebraic equation.

After that, you can factorize the equation where possible. When you factorize the equation. It becomes quite easier to solve it efficiently.

Answer:

hm

Step-by-step explanation:

===================================================

Work Shown:

A = area of smaller rectangle

A = length*width

A = 35*22

A = 770

B = area of larger rectangle

B = length*width

B = 45*30

B = 1350

C = area of the border only

C = B - A

C = 1350-770

C = 580 square cm

Step-by-step explanation:

Dimension of photograph is 35cm and 22cm.

And external dimension of photo frame is 45cm and 30cm

So, the area of the border surrounding the photograph=Area of photo frame−Area of photo.

So, The area of the border surrounding the photograph=45×30−35×22

=1350−770=580cm

2

Answer:

%20

Step-by-step explanation:

formula:  %/100  x   part/whole  

%/100 x 13/65 =    1300/65 = 20

Answer:

That is correct

Step-by-step explanation:

Took the same. Quiz

Answer:

∠ JKL = 32°

Step-by-step explanation:

Since KN bisects ∠ LKM , then

∠ LKN = ∠ NKM = 35°

Thus

∠ JKL = ∠ JKM - ∠ LKN - ∠ NKM

         = 102° - 35° - 35°

        = 102° - 70°

         = 32°