Answer:
Sally bought 4 pounds of Strawberries and 3 pounds of Cantaloupes.
Step-by-step explanation:
Let the number of pounds of Strawberries bought by Sally = x
Let the number of pounds of Cantaloupes bought by Sally = y
![\[x + y = 7\]](https://tex.z-dn.net/?f=%5C%5Bx%20%2B%20y%20%3D%207%5C%5D)
---------------------------------(1)
Moreover,
![\[2.5 x + 2.25 y = 16.75\]](https://tex.z-dn.net/?f=%5C%5B2.5%20x%20%2B%202.25%20y%20%3D%2016.75%5C%5D)
---------------(2)
Solving (1) and (2) by substitution:
![\[x = 7 - y\]](https://tex.z-dn.net/?f=%5C%5Bx%20%3D%207%20-%20y%5C%5D)
=> ![\[2.5 *(7-y) + 2.25 y = 16.75\]](https://tex.z-dn.net/?f=%5C%5B2.5%20%2A%287-y%29%20%2B%202.25%20y%20%3D%2016.75%5C%5D)
=> ![\[17.5 - 2.5y + 2.25 y = 16.75\]](https://tex.z-dn.net/?f=%5C%5B17.5%20-%202.5y%20%2B%202.25%20y%20%3D%2016.75%5C%5D)
=> ![\[0.25y = 0.75\]](https://tex.z-dn.net/?f=%5C%5B0.25y%20%3D%200.75%5C%5D)
=> ![\[y = 3\]](https://tex.z-dn.net/?f=%5C%5By%20%3D%203%5C%5D)
From (1), x = 7-3 = 4
Total number of bulbs tested, N = 445
Number of bulbs that lasted more than 500 hrs, x = 316
Point estimate of bulbs that lasted more than 500 hrs = x/N = 316/445 ≈ 0.71 = 0.71*100 = 71%
- 14/11 is an irrational number. It cannot be a natural, integer, or rational number because it is not a whole number.
Your answer is: B) Irrational number
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Using proportions, it is found that it takes 886 more mini-bears than regular-bears to have the same weight as one super-bear.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
10 mini-bears weights to 12.1 grams, hence the weight of a mini-bear is of:
12.1/10 = 1.21 grams.
10 regular bears weights to 23.1 grams, hence the weight of a regular bear is of:
23.1/10 = 2.31 grams.
1 super bear weights to 2250 grams, hence the proportion between the <u>weight of a super bear and the weight of a mini-bear</u> is:
2250/1.21 = 1860.
The proportion between the <u>weight of a super bear and the weight of a regular bear</u> is:
2250/2.31 = 974.
The difference of proportions is given by:
1860 - 974 = 886.
It takes 886 more mini-bears than regular-bears to have the same weight as one super-bear.
More can be learned about proportions at brainly.com/question/24372153
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