Explanation

To determine the total amount charged by the internet service provider, we need to consider both the one-time setup fee and the monthly service fee for each customer.

1. The one-time setup fee is $100 per customer, so for c customers, the total setup fee is $100c$.
2. The monthly service fee is $50 per customer. For m months, the total service fee per customer is $50m$. Thus, for c customers, the total service fee is 50cm.

Now, we can combine these two components to get the total charge:

$$text{Total Amount} = text{Setup Fee} + text{Service Fee} = 100c + 50cm$$

Explanation

Explanation

To find the answer, we calculate the total work:

42 women x 18 days = 756 woman-days

Since the work remains the same, we divide the total work by 21 days:

756 woman-days ÷ 21 days = 36 women

So, 36 women can do the same work in 21 days.

Explanation

21 binders bind 1400 books in 15 days, so 1 binder binds:

1400/21 = 66.67 books in 15 days

= 66.67/15 = 4.44 books per day

To bind 800 books in 20 days, we need:

800/20 = 40 books per day

Number of binders required = 40/4.44 = 9

So, 9 binders are required to bind 800 books in 20 days.

Explanation

To find the ratio of 12 minutes to 1 hour, we first convert 1 hour into minutes:

1 hour = 60 minutes.

Now, the ratio of 12 minutes to 60 minutes is:

12​/ 60= 1/ 5​

Explanation

Now let's evaluate the options:

(A) ab: This string matches $ab^*$ (since $b^*$ allows for one 'b'). So, this belongs to $\mathrm{R<b\; style="color:\; rgb(0,\; 0,\; 0);\; font-family:\; Overpass,\; sans-serif;\; font-size:\; 0.875rem;"><br></b>}$

(B) abb: This string also matches ab∗ (since $b^*$ allows for two 'b's). So, this belongs to $R$.

(C) cb: This string matches cb∗ (since $b^*$ allows for one 'b'). So, this belongs to $R$.

(D) All of these: Since all the previous options (A, B, C) belong to $R$, this is correct.

Explanation

Explanation

To solve this problem according to Islamic inheritance law, we need to follow these steps:

Step 1: Calculate the net estate

First, we subtract the debt and burial expenses from the total property:

Total property: Rs. 640,000

Debt: Rs. 40,000

Burial expenses: Rs. 5,000

Net estate = Rs. 640,000 - Rs. 40,000 - Rs. 5,000

Net estate = Rs. 595,000

Step 2: Distribution according to Islamic Law

According to Islamic inheritance rules (under Sunni law):

The widow is entitled to 1/8 of the estate.

The remaining estate is distributed among the children, where:

Each son gets twice the share of a daughter.

Widow's share:

The widow gets 1/8 of Rs. 595,000:

Widow’s share =1/8×595,000=74,75

Remaining estate:

The remaining estate after the widow’s share is:

$$595,000-74,375=520,625$$

Distribution among the children:

The ratio of distribution between sons and daughters is 2:1.

So, the total shares for 2 sons and 1 daughter will be:

• Each son gets 2 shares, and the daughter gets 1 share.
• Total shares = 2 (for 1st son) + 2 (for 2nd son) + 1 (for the daughter) = 5 shares.

Explanation

Work done by 8 men or 12 women in 25 days:

Work done by 8 men in 25 days = 1 complete piece of work.

Work done by 12 women in 25 days = 1 complete piece of work.

Explanation