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andre [41]
3 years ago
10

Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot

lunch costs $3.
This system of inequalities models the scenario:
2x + 3y = 15
x + y 23
Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set, (4
points)
Part B: Is the point (5, 1) included in the solution area for the system? Justify your answer mathematically. (3 points)
Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

A. Solution set is in the attachment (dark green shading in the middle)

B. Yes, 2(5) + 3(1) ≤ 15; 13 is less than or equal to 15

5 + 1 > 3, 6 is greater than 3

C. (4, 2) means that he buys 4 sandwiches and 2 hot lunches

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Help help help help help
dolphi86 [110]

Answer:

x = <u>12/5</u>

Step-by-step explanation:

Since the original is 10 and the second is 6, that means that the scale is 10:6 or 5:3.  It can also be related as %60 of the length.

<u>Step 1:  Make an equation</u>

10/6 = 4/x

<u>Step 2:  Cross Multiply</u>

10x = 24

<u>Step 3:  Divide</u>

10x / 10 = 24 / 10

24/10 = 12/5

x = 2.4

5 0
3 years ago
Read 2 more answers
Maria bought a blouse on sale for 30% off. The sale price was $27.76. What was the original
GuDViN [60]

Answer:

$19.43

Step-by-step explanation:

p x 0.30= 8.328

p - 8.328= 19.432

Answer: $19.43

7 0
3 years ago
10. George earns $455 per week. He receives a 20% raise. What is George's new weekly salary?
djverab [1.8K]

Answer:

$546

Step-by-step explanation:

455*.20=91  

91+455+546

8 0
3 years ago
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I need these 2 questions answered please.​
Sav [38]

The area of the circle is 28 ft square.

The area of the triangle is 30 ft square.

Step-by-step explanation:

1) The area of the circle= π*r^2

where π= 3.14(default value) and "r" is the radius of the circle.

Here, Radius of the circle(r)= 3 ft

Area = 3.14*3*3

        = 28.26 ft sq.= 28 ft sq(rounded to the nearest whole number)

2) The triangle has the base= 10 feet and height= 6 feet

The Area of the triangle= 1/2(b)(h)

where "b" is the base and "h" is the height of the triangle.

Substitute b=10 and h=6 ,

Area of triangle= 1/2(10 ft)(6 ft)= 60/2= 30 feet sq.

5 0
3 years ago
Find radius of a hemisphere given volume of 144 cm³
marysya [2.9K]

Answer:

The radius is 4.097396898

Step-by-step explanation:

A hemisphere is 1/2 of a sphere so the volume is 1/2 of the volume

V = 1/2 ( 4/3 pi r^3)

   = 2/3 pi r^3

144 = 2/3 pi r^3

Multiply each side by 3/2

3/2 *144 = 3/2 * 2/3 pi r^3

216 = pi r^3

Divide each side by pi

216/ pi =   pi r^3/pi

68.78980892 = r^3

Take the cube root of each side

(68.78980892 )^1/3= (r^3)^1/3

4.097396898 = r

The radius is 4.097396898

8 0
3 years ago
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