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elena55 [62]
2 years ago
14

Lily bought 20.24 pounds of grapefruit. The lightest grapefruit weighed 1.2 pounds. The heaviest grapefruit weighed 1.8 pounds.

Which is the best estimate of how many grapefruits she purchased?
A. 40
B. 15
C. 13
D. 8
Mathematics
1 answer:
dexar [7]2 years ago
6 0

Given:

  • Lily bought 20.24 pounds of grapefruit.
  • The lightest grapefruit weighed 1.2 pounds.
  • The heaviest grapefruit weighed 1.8 pounds.

To Find:

An estimate of the number of grapefruits she bought.

Answer:

The best estimate is that Lily bought 13 grapefruits.

Step-by-step explanation:

Given that the lightest grapefruit weighed 1.2 pounds and the heaviest one weighed 1.8 pounds, we can take the mean or average of these two weights to estimate the weight of any of the grapefruits that she bought.

That is, we can say that each grapefruit must weigh something close to the average value.

The average can be found as

\frac{1.2+1.8}{2}=1.5

Thus, the average grapefruit from the bundle she bought must weigh around 1.5 pounds.

Now, given that the total weight of the grapefruit she bought is 20.24 pounds.

By the Unitary Method,

Weight of One Grapefruit = Total Weight of All Grapefruits ÷ Number of Grapefruits

So, number of grapefruits she bought = Total weight ÷ weight of one grapefruit

In other words,

number of grapefruit = \frac{20.24}{1.5}=13.49

Rounding off, we may say that Lily bought 13 grapefruits.

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5 0
3 years ago
Please help me with 1,2 I need help show me how you get the answer and the solution for both please
Ede4ka [16]

Answer:

1) 13 ft.

2) 23.3 m (when rounded to 1 dp)

Step-by-step explanation:

The Pythagorean theorem states that a^2+b^2=c^2 when a and b are the two legs (the sides adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

<u>1) Question 1</u>

The lengths of the two legs in the image are 12 ft. and 5 ft. We know that these are the legs because they are the sides adjacent to the right angle. We're solving for the length of the ladder, which in this case would represent the hypotenuse (c). Plug the values 12 and 15 into the equation as a and b and solve for c:

a^2+b^2=c^2\\12^2+5^2=c^2\\144+25=c^2\\144+25=c^2\\169=c^2

Take the square root of both sides

\sqrt{169}=\sqrt{c^2} \\13=c

Therefore, the length of the ladder is 13 ft.

<u>2) Question 2</u>

The lengths of the legs in the image are 20 m and 12 m. Again, we know that these are the legs because they are the sides adjacent to the right angle, which in this case would be the corner of the garden. We're solving for the length of the fence going diagonally from one corner to the other, which represents the hypotenuse (c). Plug the values 20 and 12 into the equation as a and b and solve for c:

20^2+12^2=c^2\\400+144=c^2\\544=c^2

Take the square root of both sides

\sqrt{544}=\sqrt{c^2} \\23.3=c

Therefore, the length of the fence when rounded to 1 decimal point is 23.3 m.

I hope this helps!

5 0
2 years ago
Read 2 more answers
Four times a number increased by one is between a negative seven and thirteen. Find all numbers.
aleksley [76]

Answer:

Step-by-step explanation:

Let the number be x.

four times the number:

4x

If the exprression is increased by 1, it will become:

4x+1

If the value is between -7 and 13, the value of x will be within the range [-6, 12]

Equating the resulting expression to each end point.

At end point of -6

4x+1 = -6

4x = -6-1

4x = -7

x = -7/4

At the end point of 12:

4x+1 = 12

4x = 12-1

4x = 11

x = 11/4

Hence all the numbers will be within the range [-7/4, 11/4] or -7/4≤x≤11/4

5 0
3 years ago
Read 2 more answers
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