Explanation

2a - 2 = 20

Add 2 to both sides:

2a = 22

Divide both sides by 2:

a = 11

Explanation

2218 is not a perfect square.

The other numbers (2809, 2916, and 3136) are perfect squares of 53, 54, and 56, respectively.

Explanation

1. One-third of the goods are sold at a 10% profit, so the profit from this portion is:

(1/3) x 10% = 3.33%

2. Another one-third of the goods are sold at a 20% profit, so the profit from this portion is:

(1/3) x 20% = 6.67%

3. The rest (1/3) of the goods are sold at a 6% loss, so the loss from this portion is:

(1/3) x (-6%) = -2%

4. Add up the profits and losses to find the overall profit percentage:

3.33% + 6.67% - 2% = 8%

So, the shopkeeper's overall profit percentage is 8%.

Explanation

1. 3/4 of the students do not know either Hindi or English.

This means that 1 - 3/4 = 1/4 of the students know either Hindi or English or both.

2. 1/6 of the students know English.

3. 1/8 of the students know Hindi.

Now, let's use the principle of inclusion-exclusion:

Number of students who know either Hindi or English or both = Number of students who know English + Number of students who know Hindi - Number of students who know both

We know that 1/4 of the students know either Hindi or English or both. We also know the number of students who know English (1/6) and the number of students who know Hindi (1/8).

Let x be the number of students who know both English and Hindi.

Then, we can set up the equation:

1/4 = 1/6 + 1/8 - x

Combine like terms:

1/4 = 7/24 - x

Add x to both sides:

x = 7/24 - 1/4

x = 7/24 - 6/24

x = 1/24

So, 1/24 of the students know both English and Hindi.

Explanation

The expression "6n + 5" alone does not provide enough information to determine a specific value for "n."

Explanation

Let's break down the problem to determine if the total time taken is indeed 5 1/2 hours.

Step 1: Determine how many forms are left after the first half-hour

Explanation

Explanation

Determine how much the student scored above the passing percentage for each subject:

1: English:

80%−75%=5%

The student scored 5% above the passing percentage.

2: Math:

85%−75%=10%

The student scored 10% above the passing percentage.

3: Calculate the average percentage by which the student exceeded the passing percentage:

Average percentage above passing= 

5%+10% /2  =7.5%

If we round this to the nearest whole number, it would be approximately 8%.

Explanation

To solve for  x in the equation  3889+12.950−x=47.97, follow these steps:

1: Combine the constants on the left side

3889+12.950=3901.950

So the equation becomes:

3901.950−x=47.97

2: Isolate x by subtracting 3901.950 from both sides:

−x=47.97−3901.950

Perform the subtraction on the right side:

47.97−3901.950=−3853.98

Thus:

 −x=−3853.98

3: Solve forx by multiplying both sides by -1:

x=3853.98

Explanation

To determine how many shirts a person can iron in one hour, given that they iron four shirts in 12 minutes, follow these steps:

1: Calculate the time to iron one shirt:

12 minutes for 4 shirts means 1 shirt takes 

12/ 4 =3 minutes.

2: Determine how many shirts can be ironed in one hour:

One hour = 60 minutes.

If one shirt takes 3 minutes, then in 60 minutes, the number of shirts ironed is 

60/ 3 =20 shirts.