Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

Equation that can be used to find h is 1/15*(10h+60)=1/10*(10h)

Lindsay worked for 12 hours last week

Step-by-step explanation:

Complete question below:

last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends 1/15 of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1/10 of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

Let

y= cost of the dinner with friends

h=the number of hours Lindsay worked last week

y=1/15*(10h+60) (1)

y=1/10*(10h) (2)

Equate (1) and (2)

1/15*(10h+60)=1/10*(10h)equation used to find h

10h+60/15=10h/10

Cross product

(10h+60)10=15(10h)

100h+600=150h

600=150h-100h

600=50h

Divide both sides by 50

600/50=50h/50

12=h

Therefore, Lindsay worked for 12 hours last week

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.