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Reptile [31]
3 years ago
5

Gina is buying juice for a class breakfast at school.At the discount store,she can purchase 30 individual juice boxes for $21.99

. At the grocery,she can buy 1\2 gallon cartons of juice. Each cat on is $3.99 and contains 5 servings. Which is the better buy?
Mathematics
1 answer:
ladessa [460]3 years ago
6 0
30 individual boxes
Because to have 30 servings from the cartons you would have to buy 6 cartons which would cost $23.94 which is more expensive then $21.99.
hope this helped xx
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9. Two points in the plane, A(−3,8) and ????(17,8), represent the endpoints of the diameter of a circle.
kherson [118]

Answer:

a) (7,8)

b) r = 10

c) (x-7)^2+(y-8)^2=100

Step-by-step explanation:

a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)

we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as (x_m,y_m)

(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

(x_m, y_m) = \left(\dfrac{-3+17}{2},\dfrac{8+8}{2}\right)

(x_m, y_m) = (7,8)

this is the coordinate of the center of the circle.

b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.

the general distance formula is:

r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

in our case the equation changes to: (selecting the centre and point B)

r = \sqrt{(x_m-x_2)^2+(y_m-y_2)^2}

r = \sqrt{(7-17)^2+(8-8)^2}

r = 10

side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)

c) the ingredients needed to make the equation of the circle are the

  1. coordinates of the center: (x_m,y_m) = (7,8)
  2. radius of the circle: r = 10

we can put this in the formula of the circle:

(x-a)^2+(y-b)^2=r^2

in our case the equation changes to:

(x-x_m)^2+(y-y_m)^2=r^2

(x-7)^2+(y-8)^2=(10)^2

(x-7)^2+(y-8)^2=100

this is the equation of the circle!

6 0
3 years ago
Reduce to simplest form​
lisov135 [29]

Answer: 4/15

Step-by-step explanation:

-1/3 - -3/5

Two negative signs become positive so it's

-1/3+3/5

Taking the LCM as 15,

-1/3= -5/15

3/5= 9/15

-5/15 + 9/15

= (-5+9)/15

= (9-5)/15 ( just changing the order without changing the sign)

= 4/15

This is the simplest form

(If you need it in decimal form is 0.26666... or 0.267)

Hope it helps

3 0
3 years ago
Read 2 more answers
A carton of juice contains 64 ounces Miss Wilson bought six cartons of juice how many ounces of juice did she buy
Oduvanchick [21]

Answer:

384 ounces

Step-by-step explanation:

1 carton=64 oz

6 cartons=64×6=384

3 0
3 years ago
Read 2 more answers
Find the domain and range of the graph
Lostsunrise [7]

Answer:

The domain is -1 ≤x< 5

The range is -3≤y<3

Step-by-step explanation:

The domain is the values that x takes

The domain is -1 ≤x< 5

The range is the values that y takes

The range is -3≤y<3

6 0
2 years ago
What is the area of the circle shown? Use 3.14 to approximate pi. Round your answer to the nearest hundredth. ​
leva [86]

Answer:

452.16

Step-by-step explanation:

12^2 x 3,14

5 0
2 years ago
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