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svp [43]
3 years ago
13

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the

trip. Each small car can hold 5 people and each large car can hold 8 people. A total of 5 cars were rented which can hold 34 people altogether. Determine the number of small cars rented and the number of large cars rented.
Mathematics
1 answer:
DedPeter [7]3 years ago
7 0

Answer:

  2 small; 3 large

Step-by-step explanation:

Using s and L for the number of small and large cars, respectively, we have ...

  5s +8L = 34 . . . . number of passengers

  s + L = 5 . . . . . . . number of cars

  5s +8(5 -s) = 34 . . . . substitute for L

  -3s +40 = 34

  -3s = -6 . . . . . . subtract 40

  s = 2 . . . . . . . . divide by -2

  L = 5-2 = 3

2 small cars and 3 large cars were rented.

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Write the expression as a single natural logarithm.<br> 5 In 3
krok68 [10]

Answer:

5ln3=ln(3^5)

Step-by-step explanation:

Given: 5ln(3)

Use rule: alog(b)=log(b^a), aln(b)=ln(b^a) (doesn't matter what the log base is)

Apply rule: ln(3^5)

8 0
3 years ago
Calculate the pay for the following day of a<br> weekly time card given a wage of $12.50/hr.
Elenna [48]

The one day pay is $106.25 rounded to the nearest hundredth.

<u>Step-by-step explanation:</u>

<u>From the table shown :</u>

  • The timing shown in the morning is from 8:00 to 12:15
  • The number of hours worked in the morning = 4 hours 15 minutes.

It is given that, the pay is $12.5 per hour.

Therefore, the pay earned in the morning = No.of hours × pay per hour.

⇒ 4 hours × 12.5 = $50

⇒ (15 mins / 60 mins) × 12.5 = $3.125

⇒ 50+3.125

⇒ 53.125

  • The timing shown in the afternoon is from 8:00 to 12:15
  • The number of hours worked in the morning = 4 hours 15 minutes.

Therefore, the pay earned in the afternoon = No.of hours × pay per hour.

⇒  4 hours × 12.5 = $50

⇒ (15 mins / 60 mins) × 12.5 = $3.125

⇒ 50+3.125

⇒ 53.125

The pay for 1 day = pay earned in the morning section + pay earned in the afternoon section.

⇒ 53.125 + 53.125

⇒ 106.25

∴ The one day pay is $106.25 rounded to the nearest hundredth.

7 0
3 years ago
64 w^2 + 96w+36=0. What is the number of real solutions?
7nadin3 [17]

Answer:

w = -3/4 or -0.75

there is only one solution

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
4. The Blackhawk Eagles scored 4 points more than the Lane Vikings. The
konstantin123 [22]

Answer:

Lane Viking's Score is 17

Black Eagles's Score  is 21

Step-by-step explanation:

Let Lane Viking's Score be x and Black Eagles's Score be y.

Black Eagles's Score = 4+ Lane Viking's Score

so y = 4 + x    (Equation 1)

Total Score = 38

Black Eagles's Score + Lane Viking's Score = 38

so y + x =38     (Equation 2)

Putting y's value from Equation 1 in Equation 2

4 + x + x = 38

2x = 38-4

x=34/2

x=17

Putting value of x in Equation 1

y = 4 + 17

y = 21

7 0
3 years ago
-3(x+ 2y) + 5(3x - y) + y2 for x = 6 and y= 2.
Vera_Pavlovna [14]

Answer:

54

Step-by-step explanation:

4 0
3 years ago
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