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Fudgin [204]
2 years ago
10

At the grocery store, you can purchase lemons at 2 for $0.99. you can also buy a bag of 6 lemons for $2.50. Which is the better

buy?
Mathematics
2 answers:
Dennis_Churaev [7]2 years ago
7 0

Answer:

Purchasing the bag of 6 lemons is the better buy.

Step-by-step explanation:

There are two ways that we can do this: find the unit rate or find how the LCM.

---

The first way is more orthodox, and you should definitely use it in harder problems. We can set up two ratios like so.

2 : 0.99

6 : 2.5

Let's simplify the ratios so the left side is one.

2 : 0.99 = 1 : 0.495 by dividing both sides by 2.

6 : 2.5 = 1 : 0.41666... by dividing both sides by 6.

Comparing the two ratios, we can conclude that the second one is smaller, therefore the bag of 6 lemons costs less.

---

The second way, although not very efficient with big numbers, works well with small numbers like these.

First, we need to find the LCM, or the least common multiple. The LCM of 2 and 6 is 6, as 6 is a multiple of both 2 and itself.

Now we must make the amount of lemons match each other so we can compare the price.

2 : 0.99 = 6 : 2.97 by multiplying by 3.

The second ratio stays the same.

2.50 is smaller than 2.97, so the second ratio is smaller than the first, reaching our previous conclusion.

---

I hope this helps, let me know if you need any more clarification.

Digiron [165]2 years ago
3 0
6 lemons is the better buy
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First, to see how many seats are in one big section of the theatre, multiply 7 groups of seats by 25 seats:

7 x 25 = 175

Now, knowing this, multiply 175 by 4 to get the total number of seats in the theater!

175 x 4 = 700

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3 0
2 years ago
Referring to the figure, find the missing length.
vivado [14]

Answer:

5 units

Step-by-step explanation:

here;

perpendicular (p)= 3

base (b) = 4

hypotenuse (h) = c= ?

By Pythagorean relationship;

h²=p²+b²

or, h= √(p²+b²)

or, c= √(3²+9²)

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5 0
2 years ago
The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo
kompoz [17]

Answer:

h = 12

x = 9

y= 16

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

A = \frac{1}{2} * 15 * 20

i.e\ height = 20

A = \frac{1}{2} * 300

A = 150

Let the base of the triangle be 25.

So, the area is:

A = \frac{1}{2}  * 25 * h

i.e\ height = h

A = \frac{1}{2}  * 25h

Substitute A = 150

\frac{1}{2}*25h = 150

Solve for h

h = \frac{150 *2}{25}

h = 6 *2

h = 12

Considering the smallest triangle

Hypotenuse = 15

So:

15^2 = h^2 + x^2

15^2 = 12^2 + x^2

This gives:

15^2 - 12^2 = x^2

81 = x^2

Take square roots

9 =x

x = 9

Solving for y

x + y = 25

y= 25 - x

y= 25 - 9

y= 16

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Put your hands together, if you want to clap
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2 years ago
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