Tom found some foreign coins in a box. The coins were marked m, a,t, h his uncle told him that each letter on the coin has a different value in $us. M =$10,a=$5,t=$50 and h=$100. If Tom found 3m coins 5t coins 2h coins and 7a coins . How much $us will he receive for all 17 coins?

He will receive $515 for the 17 coins

Step-by-step explanation:

In this question, we are asked to calculate how much will be received for 17 coins , with each coin having a specific value in the US currency.

Obviously, there are four coins, so let’s proceed to get the amount he gets per type of coins.

For the m coin, she has 3 pieces. One m coin has a value of $10, then the amount of coins she makes on the m coins will be 3 * 10 = $30

For the a coin, he has 7 pieces. One m coin has a value of $5, then the amount of coins she makes on the a coins will be 7 * 5 = $35

For the t coin, he has 5 pieces. One t coin has a value of $50, then the amount of coins she makes on the t coins will be 5 * 50= $250

For the h coin, she has 2 pieces. One h coin has a value of $100, then the amount of coins she makes on the h coins will be 2* 100 = $200

The total amount made on the 17 coins would thus be mathematically equal to;

Amount made on m coins + Amount made on a coins + Amount made on t coins + Amount made on h coins

The total amount = $30 + $35 + $250 + $200 = $515

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.