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2 years ago

15

Select the points that are solutions to the system of inequalities. Select all that apply A. (-12, 0) B. (1, 2) C. (0, 0) D. (-1

0, 1)

1 answer:

Eddi Din [679]2 years ago

4 0

Answer:

B. (1, 2)

D. (-10, 1)

Step-by-step explanation:

Both points land in the highlighted area.

Hope this helps! :)

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a rectangular field has side lengths that measure 9/10 mile and 1/2 mile. What is the area of the field

GrogVix [38]

Answer:

9/20, or 0.45 mile.

Step-by-step explanation: $\\$

To find the area of a rectangle, multiply length times width. In this problem we are given both the length and width.

$\frac{9}{10}$ × $\frac{1\\}{2}$ is just 9/20, which is 0.45.

7 0

2 years ago

If Ana devotes all her time to making fudge, she can make 3 pounds of fudge an hour, and if he devotes all her time to making to

lara [203]

Answer: If Ana produce more furge and Leo produce more toffee.

Step-by-step explanation:

Comparative advantage: A country or a person has a comparative advantage in producing a commodity if the opportunity cost of producing that commodity is lower in that country as compared to the other country.

Here Ana or Leo will gain comparative advantage only when they are selling the good they are specializing in and they would specialize in that good which would have lower opportunity cost for them.

(a) For Ana who devoted all of her time to making either 3 pounds of fudge or 2 pounds of toffee,

the opportunity cost for making 1 pound of furge is = 2/3 = 0.66

the opportunity cost for making 1 pound of toffee is = 3/2 = 1.5

(b) For Leo who devoted all of her time to making either 4 pounds of fudge or 5 pounds of toffee,

the opportunity cost for making 1 pound of furge is = 5/4 = 1.25

the opportunity cost for making 1 pound of toffee is = 4/5 = 0.8

Above calculations clearly shows that Ana has a comparative advantage in producing furge because opportunity cost of making furge is lower than the Leo, so he devotes most of his time to produce furge.

Whereas Leo has a comparative advantage in producing Toffee because opportunity cost of making toffee is lower than the Ana, so he devotes most of his time to produce toffee.

7 0

2 years ago

Chandresh is helping his father paint the fence in their back yard. The fence is represented by the shaded part of the diagram b

Lyrx [107]

B. The total area painted is 864; they must buy two cans of paint.

Step-by-step explanation:

Step 1:

A rectangle's area can be calculated by multiplying its length and its width. The wall is made up of 5 different types of rectangular walls. All walls are 8 feet tall but the length varies.

Step 2:

The area of the 20 feet long wall = $(length)(width)= (20)(8) =160,$

The area of the 10 feet long wall = $(length)(width)= (10)(8) =80,$

The area of the 5 feet long wall = $(length)(width)= (5)(8) =40,$

The area of the 4 feet long wall = $(length)(width)= (4)(8) =32,$

The area of the 15 feet long wall = $(length)(width)= (15)(8) =120.$

The area of all the walls = 432 square feet.

Since there are two sides for every wall, total area = $432(2)=864$ square feet.

Step 3:

If one paint can covers 500 square feet,

the number of cans required to paint 864 square feet = $\frac{864}{500} = 1.728$ cans.

so 2 paint cans are needed to paint 864 square feet which is option B.

7 0

2 years ago

An oblique prism has trapezoidal bases and a vertical height of 10 units. An oblique trapezoidal prism is shown. The trapezoid h

hichkok12 [17]

Answer:

30x² cubic units

Step-by-step explanation:

The volume of an Oblique prism = Base Area × Height

This oblique prism has trapezoidal bases.

Area of a Trapezoid = 1/2 × h × ( b1+b2)

where h = height

b1 and b2 = bases of the Trapezoid.

From the question,

h = 20

b1 = x

b2 = 2x

Area of the Trapezoid =

1/2 × x ×( x + 2x)

1/2 × x × (3x)

3x²/2 square units.

Remember, the volume of an Oblique prism = Base Area × Height

Height of the prism = The distance between the 2 trapezoid bases = 20 units.

Base Area = 3x²/2 square units × 20 units

= 30x² cubic units

3 0

2 years ago

What digit is in the ten thousands place 9,435,678

Maru [420]

Easy the 3 is in the ten thousands place

5 0

2 years ago