You can put this solution on YOUR website!
You have three questions here. Here goes ---
Sometimes it helps to rephrase the word problem in the opposite order.
7 less than 4 times a number is the same as: a number times 4, less 7.
11 more than half a number is the same as: half a number and 11 more.
Can you now write 5 more than the product of a number and 3, which is the same as the product of a number and 3 and 5 more?
A reciprocal of a number is a second number such that when the two numbers are multiplied the answer is 1. The reciprocal of 7 is
. The reciprocal of
is 7. Why? Because
. So most people just say, the reciprocal of a number is 1 divided by the number. Dividing by a fraction is the same as multiplying by the reciprocal of the fraction. The general rule is reverse the numerator and the denominator and multiply. So 1 divided by a fraction is the same as 1 multiplied by the fraction "turned upside down." In general,
But be careful! 0 has no reciprocal! So watch out for things like
There is no such thing as division by zero.
To answer your question, the first number 9/8 has the reciprocal 8/9. And so on.
Your third question asks to find t when
You multiply both sides by
Look closely at that first part
See the reciprocals?