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Alex787 [66]
3 years ago
7

John is buying food for his cat, Fluffy. Fluffy LOVES a fancy wet food which costs $1.50 per day. Fluffy will also tolerate dry

food which is $0.75 per day. John wants to spend at most $9.00 on cat food each week
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of days that fluffy eats wet food in a week and y represents the number of days that fluffy eats dry food in a week.

Hence:

x + y = 7                    (1)

Also, John wants to spend at most $9.00 on cat food each week. Hence:

1.5x + 0.75y ≤ 9       (2)

The list of possible points after solving graphically are:

(0,7), (6,0), (0,12) and (5, 2). If x,y > 0, then the point that satisfies the inequality is:

(5, 2) i.e. 5 wet food and 2 dry food

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ANSWER ASAP!! Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.
Setler79 [48]

Answer:

<h2>54m²</h2>

Step-by-step explanation:

<h3>METHOD 1:</h3>

You can use the Heron's formula:

A=\sqrt{p(p-a)(p-b)(p-c)}

where

<em>p</em><em> - half of perimeter</em>

<em>a, b, c</em><em> - lengths of sides</em>

We have

a=12m;\ b=15m;\ c=9m

Calculate:

p=\dfrac{12+15+9}{2}=\dfrac{36}{2}=18\ (m)\\\\A=\sqrt{18(18-12)+(18-15)(18-9)}\\\\A=\sqrt{(18)(6)(3)(9)}\\\\A=\sqrt{2916}\\\\A=54\ (m^2)

<h3>METHOD 2:</h3>

Let's check that it is not a right triangle.

If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.

We have

9m < 12m

Check:

9^2+12^2=81+144=225\\15^2=225

This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.

The formula of an area of a right triangle is:

A=\dfrac{ab}{2}

<em>a, b</em><em> - legs</em>

Substitute:

A=\dfrac{(9)(12)}{2}=\dfrac{108}{2}=54\ (m^2)

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3 years ago
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1=1/1=2/2=3/3=4/4=(-1)/(-1)=(-2)/(-2)

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Writing a half in many different ways:

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