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kolezko [41]
3 years ago
11

The cost of 5 tables exceeds the cost of 8 chairs by Rs.150. Write the linear equation in two variables

Mathematics
1 answer:
Levart [38]3 years ago
3 0

Answer:

The  linear equation in two variables is 5u - 8v  = 150 .

Step-by-step explanation:

As given

The cost of 5 tables exceeds the cost of 8 chairs by Rs150 .

Let us assume that the cost of one table be u .

Let us assume that the cost of one chairs be v .

Than the equation becomes

5u + 150 = 8v

Simplify the above equation

5u - 8v  = 150

Therefore the  linear equation in two variables is 5u - 8v  = 150 .




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The CBGC pays college and high school students $5.75 per hour to tutor the younger boys and girls. If one of those tutors works
Levart [38]

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;

\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

3. The score of 21 out of 30 as a percentage is given as follows;

\frac{21}{30} \times 100 = 70\%

4. Where the second score is 45 out of a total of 60 points, we have;

\frac{45}{60} \times 100 = 75\%

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;

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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;

\frac{95}{100} \times 30 = 28.5

Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% = 28.5 points.

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