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musickatia [10]
3 years ago
14

Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to

spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy. If there are no possible solutions, submit an empty answer.
Mathematics
1 answer:
Lana71 [14]3 years ago
4 0

Answer:

The maximum amount of apples she could buy is 7

Step-by-step explanation:

3 mangos would be 4.50 dollars. Subtract that from her current amount of money (20 dollars). You would get 15.5 dollars. Then, find how many apples she can buy with 15.5 dollars. You can't buy 8 because that would be above 15.5. So do the next smallest amount, 7.

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One side of a kite is 8 cm less than four times the length of another side. The perimeter of the kite is 78 cm. Find the lengths
Yuliya22 [10]

Answer:

9.4\:\mathrm{cm},\\9.4\:\mathrm{cm},\\29.6\:\mathrm{cm},\\29.6\:\mathrm{cm}

Step-by-step explanation:

A kite consists of two pairs of congruent adjacent sides. Therefore, we have the following equation:

2x+2(4x-8)=78, where x is the length of the shorter sides.

Solving, we get:

2x+8x-16=78,\\10x=94,\\x=\fbox{$9.4\:\mathrm{cm}$}.

Plugging in x=9.4 into 4x-8, we get:

4(9.4)-8,\\37.6-8,\\\fbox{$29.6\:\mathrm{cm}$}.

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3 0
3 years ago
What's the area below?
Marina86 [1]
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8 0
3 years ago
ITS REALLY IMPORTANT
Eva8 [605]

Answer:

The lateral area of the figure = 480 m²

The surface area = 720 m²

Step-by-step explanation:

By definition, we have;

The lateral area is the area of the vertically facing sides of or the area of the triangular faces of a pyramid

The surface area is the area of the entire surface = Lateral area + The other surface areas of the object

For a pyramid, the surface area =   Lateral area  + Area of base

The figure in the question is a pentagon based pyramid with five triangles on the sides

The lateral area of the figure = 5 × area of the 5 triangles = 5 × Base × Height

The lateral area of the figure = 5 × 12 × 8 = 480 m²

The lateral area of the figure = 480 m²

The surface area = Area of the base + Lateral surface area

Area of the regular pentagon base = 1/2 × Perimeter of the pentagon × Apothem

Perimeter of the pentagon = 5 × 12 = 60 m

Apothem = Perpendicular distance from the pentagon's side to the center = 8.3 m

∴ Area of the regular pentagon base = 1/2 × 60 × 8 = 240 m²

∴ The surface area = 240 +480 =720 m²

The surface area = 720 m²

5 0
3 years ago
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