Alex spends 2/3 of his paycheck p on food and $3 lose change on coffee how much did he spend

The total amount Alex spent is $ 9

Step-by-step explanation:

The given parameters are;

The amount Alex spends on food = 2/3 of his paycheck

The amount Alex spends on coffee = $3

Therefore, we have;

Fraction of the paycheck spent on coffee = 1 - 2/3 = 1/3 of p

The  amount Alex spends on coffee = 1/3 of his paycheck

Therefore, we have;

1/3 × p = $3

p = 3 × $3 = $9

The total amount Alex spent = $ 9

The amount Alex spends on food = 2/3 × $9 = $6.

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.