1answer.
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
AleksAgata [21]
1 year ago
12

A party planner is making gift bags for an event. He has 96 pencils,

Mathematics
1 answer:
Yuliya22 [10]1 year ago
5 0

Considering the greatest common divisor, you obtain:

  • the greatest number of gift bags that the party planner can make is 12.
  • the number of each item present in each bag is 8 pencils, 3 erasers and 2 pencil toppers.

<h3>Greatest common divisor </h3>

The greatest common divisor is the largest number that exactly divides two or more numbers at the same time. That is, it is the largest number by which two or more numbers can be divided, resulting in a whole number.

A method to calculate the greatest common factor must follow the following steps:

  • Decompose or separate each number into prime factors.
  • Common factors are noted.
  • In each of the commons, the factor with the smallest exponent is chosen.
  • Multiply the chosen factors.

<h3>This case</h3>

To find the greatest number of gift bags the party planner can make, you find the greatest common divisor.

To do this, decompose the numbers 96, 36 and 24:

  • 96= 2⁵×3
  • 36= 2²×3²
  • 24= 2³×3

The common factors with the smallest exponent are: 2² and 3

So, the greatest common divisor between 96, 26 and 24 is calculated as: 2²×3= 4×3= 12

This means that the greatest number of gift bags that the party planner can make is 12.

To calculate the number of each item present in each bag, you divide the quantity of each item by the quantity of gift bags:

  • 96 pencils÷ 12= 8 pencils
  • 36 erasers÷ 12= 3 erasers
  • 24 pencil toppers÷ 12= 2 pencil toppers

Finally, the number of each item present in each bag is 8 pencils, 3 erasers and 2 pencil toppers.

Learn more about greatest common divisor:

brainly.com/question/11993520

brainly.com/question/18635265

brainly.com/question/6032811

#SPJ1

You might be interested in
Please help I don’t understand it’s like angles and stuff picture above. 20 POINTS WILK MARK BRAINLEST FOR RIGHT ANSWERS ONLY
oksano4ka [1.4K]

Since 6x - 44 and 88 degrees are the same (exterior angles), we can start off with the first equation, 6x - 44 = 88

6x - 44 = 88

    +44    +44

6x      =   132

÷6         ÷6

x  = 22

same with the second problem (exterior angles are equal):

equation:

15x + 6 = 9x + 54

       -6              -6

15x    = 9x + 48

-9x      -9x

6x   =    48

÷6         ÷6

x   =   8

Hope this helped! :D

5 0
3 years ago
Read 2 more answers
What is the factored form of the expression? 16. d 2 + 18d + 81 (1 point) (d + 9)(d – 9) (d + 9) 2 (d – 81)(d – 1) (d – 9) 2
jarptica [38.1K]
Since a and c in this equation are perfect squares, you know that the value of the factored form is going to be the (sqrt of a*d added to the sqrt of 81)^2, making(d+9)^2
3 0
3 years ago
Can someone pleaseeee help if you’re correct I’ll give u brainlist
Effectus [21]

<em><u>Answer:</u></em>

The answer is 70 degrees.

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

1. All the angles in a circle add up to 360, and the red square thing in the TVU angle means it's a 90 degree angle.

2. Add 150 plus 50 plus 90 = 290

3. 360 degrees (total) - 290 degrees = 70 degrees! :)

3 0
3 years ago
In a large school district, for every one male teacher, there are three female teachers. Four teachers are selected at random to
serg [7]

Answer:

It would be a female teacher 3 out of 4 times, and male 1 out of 4. You could make a circle, divide it into quarters, make a spinner and likely get male once of four times.

6 0
2 years ago
Consider the exponential function
evablogger [386]

<u>Given</u>:

The given function f(x)=19,000 \cdot 0.96 ^x which models the value of Mark’s car, where x represents the number of years since he purchased the car.

We need to determine the approximate value of Mark's car after 7 years.

<u>Value of the car:</u>

The value of the car after 7 years can be determined by substituting x = 7 in the function f(x)=19,000 \cdot 0.96 ^x, we get;

f(7)=19,000 \cdot 0.96 ^7

f(7)=19,000 \cdot 0.7514474781

f(7)=14277.502

Rounding off to the nearest dollar, we get;

f(7)=14278

Thus, the approximate value of Mark's car after 7 years is $14278.

Hence, Option a is the correct answer.

7 0
3 years ago
Read 2 more answers
Other questions:
  • The angle measures in a triangle are 25 degrees, 135 degrees and 20 degrees what type of triangle is it?
    7·2 answers
  • Algebra 1 &gt; * 3.10 Solve linear equations: word problems UFG
    14·1 answer
  • What is y ? Please help
    8·2 answers
  • What is the answer A,B,C,D
    13·2 answers
  • A park is in the shape of a rectangle. The park is 5/8 mile long and 2/3 mile wide. What is the area of the park?
    6·1 answer
  • A part-time shelf stocker made $8912.03 last year. If she claimed herself as
    13·2 answers
  • A lock has a 3-number code made up of 15 numbers. If none of the numbers are allowed to repeat, how many different ways can you
    13·1 answer
  • Fred paid $75 for a pack of 15 toy mice.<br><br><br> How much did each mouse cost?
    10·2 answers
  • Y is directly proportional to x. when y=30, x=6. A) work out an equation connecting y and x. B) work out what the value of y whe
    13·1 answer
  • Triangle PQR has the coordinates P(2,4), Q(-2,4), R(0,-5).
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!