answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AVprozaik [17]
2 years ago
9

Oscar needs to ship 14 rock cds, 12 classical cds, and 8 pop cds. he can only pack only one type of cd in each box and he must p

ack the same number of cds in each box. what is the greatest number of cds oscar can pack in each box?
Mathematics
2 answers:
tatyana61 [14]2 years ago
7 0
We need to find the biggest/highest number that can "go into" all of these numbers without a remainder.

That number is 2.

2 is a factor (a number that can "go into") of all of these numbers.
Artyom0805 [142]2 years ago
6 0

Answer:

2

Step-by-step explanation:

Oscar needs to pack only one type of cd in each box and he must pack the same number of cd's in each box.

To solve this problem we would need to find the greatest common factor of the numbers given; the numbers that we have are 14, 12, 8.

First we are going to find the factors of all these three numbers:

14 = 1 x 2 x 7

12 = 1 x 2 x 2 x 3

8 = 1 x 2 x 2 x 2

The common factors of these three numbers are bolded:

14 = 1 x 2 x 7

12 = 1 x 2 x 2 x 3

8 = 1 x 2 x 2 x 2

We can see that the common factors are 1 and 2. The biggest of them is 2.

Therefore, the greatest number of cd's Oscar can pack in each box is 2

You might be interested in
What is the answer to the problem 44.84 x 9.84?
Marta_Voda [28]
I hope this helps you

7 0
2 years ago
Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes
Ivan

Answer:

14.86 knots.

Step-by-step explanation:

<em>Given that:</em>

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2\times 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 \times 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled \triangle AOB.

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units

so, the total distance between the two boats is 74.28 units.

Change in distance per hour = \dfrac{Total\ distance}{Total\ time}

\Rightarrow \dfrac{74.28}{5} = 14.86\ knots

6 0
2 years ago
79% of a university's freshman class are majoring in Engineering. If 2765 students in the freshman class are Engineering majors,
Karolina [17]

2765 \div 0.79 = 3500

There are 3500 students in the freshman class.

8 0
2 years ago
Read 2 more answers
The equation y = 14x represents the number of pages Printer A can print over time, where y is the number of pages and x is time
Crank
Printer A
y = 14x

Printer B
Time(min)       |  3  |  5  |  8  |  12  |
Pages printed | 48 | 80 | 128 | 192 |

Printer A prints 14(1) = 14 pages per minute.
Printer B prints 48/3 = 16 pages per minute.

The printer that prints at a faster rate is printer B.
8 0
2 years ago
Read 2 more answers
Suppose that a person's birthday is a uniformly random choice from the 365 days of a year (leap years are ignored), and one pers
maxonik [38]
P ( A ∩ B ∩ C) = 1/365
P(A) = 1/365, P(B)= 1/365, P(C) = 365
If events A,B and C are independed then P (A ∩ B ∩ C) = P (A) P(B) P(C) must be true,
From the probabilities we have 
1/365≠ 1/365 * 1/365 * 1/365
Thus, events A,B, C are not independent.

3 0
2 years ago
Other questions:
  • A Man is redecorating his bedroom .he can choose from 5 paint colors 6 beds and 5 dressers how many ways can he choose to design
    6·2 answers
  • Explain how you know the values of the digits in the number 58
    9·1 answer
  • A ball is orbiting counterclockwise at 100 revolutions per minute (rpm) around a circle of radius 10 cm. The center of the circl
    15·1 answer
  • The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is (x
    14·1 answer
  • Bob Rohrman is offering a 2016 Toyota Camry for $29,000. If you have a $5,000 down payment and are able to borrow the rest at a
    13·1 answer
  • 20 is what percent of 25 ?
    9·2 answers
  • A company wants to determine if its employees have any preference among 5 different health plans which it offers to them. A samp
    6·1 answer
  • Bonny Blair of the United States set a world record in speed skating when
    8·1 answer
  • Autumn runs a farm stand that sells peaches and grapes. Each pound of peaches sells
    13·1 answer
  • Daria pays x dollars for a pair of shoes. The tax on shoes is
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!