Explanation

The sentence should read: "This is the oldest tree in the forest."

The word "elder" is often confused with "oldest", but they have slightly different meanings:

• "Elder" typically refers to someone or something that is older than others, but not necessarily the oldest.
• "Oldest" refers to someone or something that is the most ancient or has been around the longest.

Explanation

1. We are given that 1/2 inch is equal to 12 kilometers.

2. We want to find the distance in kilometers for 5-2/3 inches. First, let's convert the mixed number to an improper fraction:

5-2/3 = 17/3 inches

3. Now, let's set up a proportion using the given conversion factor:

(1/2 inch) / 12 km = (17/3 inches) / x km

4. We can then cross-multiply and solve for x:

(1/2) × x = (17/3) × 12
x = (17/3) × 12 / (1/2)
x = (17/3) × 24
x = 136 km
So, the distance in kilometers is 136 km.

Explanation

To find the number of lawns completed in 10 hours, we can set up a proportion:

2 hours / 3 lawns = 10 hours / x lawns

We can then cross-multiply and solve for x:

2x = 3 × 10

2x = 30

x = 30/2

x = 15

So, in 10 hours, 15 lawns will be completed.

Explanation

The Von Thünen model explains agricultural land use patterns based on distance from a central market.

Johann Heinrich von Thünen developed it, and it was first published in 1826.

Explanation

To find the smallest ratio, we need to simplify the fraction 0.35/0.65.

First, convert the decimals to fractions:

0.35 = 35/100 = 7/20

0.65 = 65/100 = 13/20

Now, divide the fractions:

(7/20) ÷ (13/20) = 7/13

So, the smallest ratio is 7/13.

Explanation

Amina J. Mohammed is the 5th Deputy Secretary-General of the United Nations 

She belongs to Nigeria, the United Kingdom

Assumed office on 1 January 2017

Preceded by Jan Eliasson

She was born on 27 June 1961 (age 63) in Liverpool, England

Explanation

If 2/3 of the men do not attend the mess, that means only 1/3 of the men are attending the mess.

Since the provision is for 30 days for the entire group, the food will now last three times as long, since only one-third of the group is consuming it.

So, the food will last for 30 x 3 = 90 days.

Explanation

To find |f(1)|, we need to evaluate the function f(x) = -3(x^2) - 2(x) + 1 at x = 1.

f(1) = -3(1^2) - 2(1) + 1

= -3(1) - 2(1) + 1

= -3 - 2 + 1

= -4

Now, we need to find the absolute value of f(1):

|f(1)| = |-4| = 4

Explanation

To find the original price, we need to remove the GST amount from the inclusive price.

Price including GST = Rs. 945

GST percentage = 5%

First, convert the GST percentage to a decimal: 5% = 0.05

Then, divide the price including GST by (1 + GST decimal):

Rs. 945 ÷ (1 + 0.05) = Rs. 945 ÷ 1.05 = Rs. 900

Explanation

To calculate the percentage of discount, you can use the following formula:

percentage discount = (original price – new price) / original price * 100%

In this case, the original price is 0.62 and the new price is 0.42. So, the calculation would be:

percentage discount = (0.62 – 0.42) / 0.62 * 100% = 0.2 / 0.62 * 100% = 0.3225806452 * 100% = 32.26% ~= 32%

Therefore, the actual percentage of discount is 32%.