A 24 oz. bottle of pop costs $2.25. What is the price per ounce? How did you get that answer?

Answer:

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Step-by-step explanation:

According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:

[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:

[tex]x_{B} = 1.25\cdot (14)[/tex]

[tex]x_{B} = 17.5[/tex]

[tex]y_{B} = 0.75\cdot (21)[/tex]

[tex]y_{B} = 15.75[/tex]

From (2):

[tex]m = \frac{15.75-21}{17.5-14}[/tex]

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

By (1):

[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Answer:

Choose... Coupon 2

Coupon 2 is a better deal becausse Coupon 1 would result in a total cost of $25.2

Coupon 2 would result in a total cost of $6.5

Choose Coupon 2

Step-by-step explanation:

Coupon 1: 18+(18x0.4) =

Coupon 2: 18+18=26 26x0.25=6.5

Answer:

Coupon 2

Step-by-step explanation:

Answer: =2x^4−6x^3+10x^2−16x

Step-by-step explanation:

Answer:

The first one $1.42

Step-by-step explanation:

1.42x5=7.1 (cost of all envelopes)

12-7.1=4.9

4.9/14=0.35 (one postcard)

10 postcards= 3.5

1.42x15=21.3 (cost of all envelopes)

3.5+21.3=$24.80

Answer:i i think Brenda 10

Step-by-step explanation:

Age problems are the algebra word problem which deals with the ages of people in the present time.

Given information-

Abigail is 5 years older than Brenda.

Brenda is twice as old as Carly.

The total of their ages is less than 40.

Age problems are the algebra word problem which deals with the ages of people in the present time.

Suppose Abigail is A, Brenda is B and Carly is C years old.

As Abigail is 5 years older than Brenda. Thus,

[tex] A=B+5[/tex]                .... 1

As Brenda is twice as old as Carly. Thus,

[tex]C=\dfrac{B}{2} [/tex]                    ..... 2

As the total of their ages is less than 40.

[tex]A+B+C=40[/tex]

Keep the values of A and C from the equation 1 and 2 in the above equation,

[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]

Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,

[tex]A=14+5\\ A=19[/tex]

Thus the Abigail is 19 year old.

Learn more about the age related problem here;

https://brainly.com/question/91727

Step-by-step explanation:

y = 7x + 1

Slope - Intercept Form

Answer:

m=−5/8

Step-by-step explanation:

Answer:

is that a test huh

is that a test

Step-by-step explanation:

Answer:

Your answer is 2.

Step-by-step explanation:

You use the normal way of adition.

 1

+1

___

 2.

Hope this helps!

Answer:

x=2

2 games.

Step-by-step explanation:

3 + 4.50x = A

6 + 3x = A

3 + 4.5(2) = 12

6 + 3(2) = 12

Answer:

6/5

Step-by-step explanation:

4/5 x 3/2 = 12/10 = 6/5

Answer:

the product of 5 and a number

Step-by-step explanation:

product is the result of a multiplication problem

5c is the same as 5 times c

we don’t write an x (5xc) because x is sometimes used as a “placeholder” instead of c

Answer:

x = 36

y = 37.95

Step-by-step explanation:

By geometric mean property:

[tex] {12}^{2} = 4 \times x \\ \\ 144 = 4 \times x \\ \\ x = \frac{144}{4} \\ \\ x = 36 \\ \\ [/tex]

By Pythagoras Theorem:

[tex] {y}^{2} = {12}^{2} + {x}^{2} \\ \\ {y}^{2} = {12}^{2} + {36}^{2} \\ \\ {y}^{2} = 144 + 1296 \\ \\ {y}^{2} = 1440 \\ \\ y = \sqrt{1440} \\ \\ y = 37.95[/tex]

Answer:

5.1

Step-by-step explanation:

Answer:

5.75 , 5.76, 5.73

Step-by-step explanation:

Hope this helps!

Answer:

535572

Step-by-step explanation:

Np just for a friend

Answer:

Since there is no available data for the Lego set, it is safe to assume that the cost would be definitely higher than the small Lego set built by Mackenzie. For example, if the dimension of the small Lego set is 50 X 30 X 6 (length X breadth X height all in cm ) which cost Mackenzie $5.49.

On the other-hand, let assume that, the large Lego set built by Caleb is twice that of Mackenzie Lego set (that is 100 X 60 X 12 ), it could be found that, the cost for the large Lego set would cost minimum of $10.98

Step-by-step explanation:

Answer:

a- $37.50

b- $39.75

Step-by-step explanation:

Hope this helped!

Answer:

a) 37.5

b) 39.75

Step-by-step explanation:

a) 50 (price of jeans) x 0.75 (amount after redution sale 100% - 25%) = 37.5

b) 37.5 (price of jeans after sale) x 1.06 (total price x 6%) = 39.75

Answer:

8+3x=20

4 hours

Step-by-step explanation:

8+3x=20

3x=12

x=4

Answer:

first one

Step-by-step explanation:

the sum of (9k-4) =3542

so it will be the first one because

28((5+248)/2)=3542

Answer:

a

Step-by-step explanation:

cuz i milk da cows homie, all fo my edge brothas, no cap on jaw, j keepin it real fo yall homies

Answer:

2.3f - 21

Step-by-step explanation:

Answer:x= 49°

Step-by-step explanation:

Answer:

151

Step-by-step explanation:

m=150cm

n=30

new mean =(m*n+165-135)/n

=(150*30+165-135)/30

=(4500+30)/30

=4530/30

=453/3

=151

therefore

correct mean =151

Hope this helps :D

Answer:

2×2+x+1=0

4+x+1=0

5+x=0

x=-5

Answer:

1005

Step-by-step explanation:

Assuming this is a rectangle, square, or other 4 sided figure, the ft^2 would be 1005