Respuesta :
Answer:
1. $35.075
2. 43.5 hours
3. 70%
4. Danny is correct
5. Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% should be 28.5
Step-by-step explanation:
The pay per hour for student tutors = $5.75
1. A tutor who worked 3.4 hours on Monday and 2.7 hours on Thursday has worked, 3.4 + 2.7 = 6.1 hours for the week, therefore
The week earning for the tutor = 6.1 × 5.75 = $35.075
2. The Club's tutoring budget per week = $250
The number of tutoring hours that can be provided per week is given by the relation;
[tex]\frac{The \, Club's \ tutoring\ budget \ per \, week}{The \, pay \ per \, hour\, for\, student\, tutors} = \frac{\$250}{\$5.75/hour} = 43.47826 \approx 43.5 \, hours[/tex]
3. The score of 21 out of 30 as a percentage is given as follows;
[tex]\frac{21}{30} \times 100 = 70\%[/tex]
4. Where the second score is 45 out of a total of 60 points, we have;
[tex]\frac{45}{60} \times 100 = 75\%[/tex]
Therefore, the increase in Abe's score is 5%, therefore, Danny is correct
5. To raise his checkup quiz grade to 80% overall, then we should have;
[tex]\frac{70 + 75 + Q}{300} =\frac{80}{100}[/tex]
Where:
Q = The percentage grade of the last quiz
(145 + Q)×100 = 80×300 = 24000
145 + Q = 240
Q = 240 - 145 = 95%
Therefore, he has to score, 95% of 30 on the last quiz, which is thus;
[tex]\frac{95}{100} \times 30 = 28.5[/tex]
Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% = 28.5 points.