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Hoochie [10]
3 years ago
13

While going on a field trip, a busload od 54 students will have to be split up into three groups. Two thirds will go into lunch

first, and one third will go visit the exhibits. How many will go to lunch first? Write an equation to represent the problem.
Mathematics
1 answer:
Helen [10]3 years ago
7 0

Number of students on the bus = 54

Students who will go to lunch first are =\frac{2}{3} of 54

=\frac{2}{3}\times54=36

Hence, 36 students will go first for lunch.


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On a shopping trip in Los​ Angeles, Rosaria Perez ordered 120 pieces of​ jewelry: a number of bracelets at ​$10 each and a numbe
Tomtit [17]

9514 1404 393

Answer:

  • 50 bracelets
  • 70 necklaces

Step-by-step explanation:

Let n represent the number of necklaces Rosaria ordered. Then the total cost of the order is ...

  10(120 -n) +11(n) = 1270

  n = 70 . . . . . . . . . . . . . simplify, subtract 1200

  120 -70 = 50 . . . . . . . the number of bracelets

Rosaria purchased 70 necklaces and 50 bracelets.

8 0
3 years ago
What is the volume of the cone to the nearest tenth?
Kisachek [45]

Answer:

366.5cm³

Step-by-step explanation:

1. Determine the height and radius of cone.

2. Using the formula for the volume of a cone input where there is an h and r.

3.Where it says Area of base, it is talking about the circular base and that you need to find its area. (π×r²), you already have the radius so you put it in the formula and solve (π×5²)

4. Once you have the area of the base you can now completely solve. Multiply ⅓×(78.54)×14

8 0
3 years ago
A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the stu
Nitella [24]

Answer: 0.9730

Step-by-step explanation:

Let A be the event of the answer being correct and B be the event of the knew the answer.

Given: P(A)=0.9

P(A^c)=0.1

P(B|A^{C})=0.25

If it is given that the answer is correct , then the probability that he guess the answer P(B|A)= 1

By Bayes theorem , we have

P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(C|A^c)P(A^c)}

=\dfrac{(1)(0.9)}{(1))(0.9)+(0.25)(0.1)}\\\\=0.972972972973\approx0.9730

Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.

7 0
3 years ago
Nella sells televsions. She earns a fixed amount for each televison and an additional $25 if the buyer gets an extennded warenty
Korolek [52]

Answer:

65

Step-by-step explanation:

I did 17 X 25 to find out how much she earned JUST from the warranty, which is 425. Subtract that from $1530 and get $1105. Divide that by 17 and get 65.

8 0
3 years ago
7. Which set of ordered pairs represents a function?
Likurg_2 [28]

Answer:

a

Step-by-step explanation:

to be a function, every x has to have exactly one y, so there can't be the same number x twice wirh different y's

5 0
3 years ago
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