Answer:11
Step-by-step explanation:
Boys : girls=7:1
Sum of ratio=7+1=8
Let them number of girls be y
Then they number of boys=y+66
Total number of pupils=y+y+66
Total number of pupils=2y+66
Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)
y=1/8 x (2y+66)
Cross multiply
y x 8=2y + 66
8y=2y + 66
Collect like terms
8y-2y=66
6y=66
Divide both sides by 6
6y/6=66/6
y=11
The number of girls is 11
Answer:
See below, I will let graphing part to yourself.
Step-by-step explanation:
First function: domain:
, range:
, decreasing
Second function: domain:
, range:
, increasing
Third function: domain:
, range:
, increasing
Answer:
Step-by-step explanation:
The correct question is
Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours at her two jobs. Let t be the number of hours Susan worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month
Let
t -----> the number of hours that Susan work as a tutor
y ----> the number of hours that Susan work as a waitress
z ---> the combined total dollar amount she earned this month
we know that

-----> equation A
we know that
The combined total dollar amount she earned this month is equal to the number of hours that Susan work as a tutor multiplied by $10 plus the number of hours that Susan work as a waitress multiplied by $11
----> equation B
substitute equation A in equation B
therefore
The expression for the combined total dollar amount is $(990-t)
We have been given an expression
. We are asked to find the solution to our given expression expressed as scientific notation.
Let us simplify our given expression.
Using exponent property
, we will get:



Now to write our answer in scientific notation, we need our 1st multiple between 1 and 10. So we will rewrite our expression as:



Therefore, our required solution would be
.