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Ratling [72]
2 years ago
12

Matthew drives 30 miles in 24 minutes. If he drove two hours in total at the same rate, how far did he go? Before you try that

problem, answer the question below. How many minutes did Matthew drive in total?
Mathematics
1 answer:
77julia77 [94]2 years ago
4 0

Answer:

Step-by-step explanation:

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A party planner is making gift bags for an event. He has 96 pencils,
Yuliya22 [10]

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

5 0
1 year ago
Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation 2 l plus 2 w equals 48 can
AVprozaik [17]
2I + 2w = 48
9 feet is the answer.
Have a great day/night
7 0
2 years ago
The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the c
Lena [83]

Answer:

d=4

Step-by-step explanation:

Agency 1:

Total cost of renting a car=24.50d + 15.99

Agency 2:

Total cost of renting a car=27.50d + 3.99

Where, d=No. of days of renting the car

Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?

The equation is by equating agency 1 and agency 2 equation

24.50d + 15.99 = 27.50d + 3.99

Collect like terms

24.50d - 27.50d = 3.99 - 15.99

-3d = -12

Divide both sides by -3

d= -12 / -3

=4

d=4

Check

Agency 1:

24.50d + 15.99

= 24.50(4) + 15.99

= 98 + 15.99

= 113.99

Agency 2:

27.50d + 3.99

= 27.50(4) + 3.99

= 110 + 3.99

= 133.99

3 0
3 years ago
If Carly has 3 apples and she eats 2 of them how many apples does she have left
Alex_Xolod [135]
Carly will have one apple left, (3-2=1)
3 0
2 years ago
Read 2 more answers
8x = 96<br> How would I solve for x
Vaselesa [24]

How to solve your problem

6 0
2 years ago
Read 2 more answers
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