You know that the first three numbers of a telephone number are 343, but you have forgotten the last 4 digits. You can only recall that the last 4 digits are 3, 6, 8, and 9, but you do not know the order. What is the maximum number of telephone calls you will need to make in order to dial the correct number?

Step-by-step explanation:

GIVEN: The first three numbers of a telephone number are , but you have forgotten the last digits. You can only recall that the last digits are , , , and , but you do not know the order.

TO FIND: The maximum number of telephone calls you will need to make in order to dial the correct number.

SOLUTION:

length of telephone number

last digits

As we do not know the order of digits, to find out the correct phone numbers we will have to call every telephone number which can be formed using last digits of phone number.

Now,

Total ways in which last digits can be arranged

Therefore we will have to make 24 calls in order to dial the correct number.

three-fourths of an hour

36÷48=0.75

0.75=

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet