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
Sindrei [870]
2 years ago
14

Mrs. Moore is making packages of art supplies for an art project. Each package contains sheets of white paper and blue paper. Th

ere are 84 sheets of blue paper and 96 sheets of white paper available to be used in the packages. Each package has the same number of blue paper. Each package has the same number of white paper. Mrs. Moore makes the maximum number of packages possible. There are no sheets of paper left over. What is the maximum number of packages that can be made and how many sheets of blue paper and white paper are in each package
Mathematics
1 answer:
Romashka [77]2 years ago
7 0

Answer:

The maximum number of packages that can be made are 12 packages

The number of sheets of blue paper and white paper per package = 7 and 8 sheets respectively

Step-by-step explanation:

The number of sheets of blue paper available to Mrs. Moore = 84 sheets

The number of sheets of white paper available to Mrs. Moore = 96 sheets

The number of blue paper in each package = The number of white paper in each package

Therefore, the maximum number of packages that can be made is given by the Highest Common Factor, HCF,  of 84 and 96 which is found as follows;

The prime factors of 84 = 2² × 3 × 7, from which we have;

Factors of 84 = 4 × 3 × 7 = 12 × 7

The prime factors of 96 = 2⁵ × 3, from which we have;

Factors of 96 = 4 × 8 × 3 = 12 × 8

∴ The HCF of 84 and 96 = 12

The maximum number of packages that can be made = Twelve packages

The number of sheets of blue paper in each package = Seven

The number of sheets of white paper in each package = Eight.

You might be interested in
HELP DUE IN 10 MINS! Use the Pythagorean Theorem to solve for x.
irakobra [83]

Answer:

  • B. 5sqrt(2)

Step-by-step explanation:

  • x² = 4² + (√34)²
  • x² = 16 + 34
  • x² = 50
  • x = √50
  • x = 5√2
8 0
2 years ago
Read 2 more answers
What is the median of this set of data?<br> 1, 2, 5, 6,9
Aleksandr-060686 [28]

Answer:

5

Step-by-step explanation:

median = (n+1)/2 th item

n = 5

median = 3rd item = 5

3 0
3 years ago
G(x)=4.8x -5<br><br> I needed help finding the slope
Artist 52 [7]

Answer:

Slope is 4.8

Step-by-step explanation:

{ \tt{G(x) = 4.8x - 5}} \\

8 0
2 years ago
Read 2 more answers
I will mark brainly if correct
kakasveta [241]
I believe option 3 is the correct answer! Multiply the (days) by 37.5!
4 0
2 years ago
the recipe calls for 5 lbs of apples and 2 cups of sugar. you only have 1 1/ cups of sugar. how many lbs of apples should you us
RSB [31]
5 lbs of apples         x pounds of apples----------------------  =   ----------------------------2 cups of sugar        4/3 cup of sugar Solve for x.
4 0
3 years ago
Other questions:
  • PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP ME!!!!!!!! I HAVE 2 QUESTIONS THATS ALL. I WILL GIVE POINTS, FAN, MEDAL. PLEASE I
    9·1 answer
  • Please help and show all work thank you.
    6·1 answer
  • Rectangular pieces of land 50m wide and 120m long partitioned to two parts along diagonal what is the length meter of the fence
    9·1 answer
  • Use an inequality symbol (&lt;, &gt;, =, ≥) to compare −17 ____ −1
    7·2 answers
  • Which expression has a value of 10
    13·1 answer
  • The price of a set of feeding bowls for dogs have been $9.25 , but was increased to $11.10. What was the precent increased
    7·1 answer
  • Need help pls help me
    10·1 answer
  • ¿Cuál es la respuesta correcta de esta ecuación diferencial con su justificación?
    11·1 answer
  • 50% of the tickets sold at a water park were child tickets. If the park sold 44 tickets in all, how many child tickets did it se
    15·2 answers
  • What is the nth term of the linear sequence shown below? -9, -5, -1, 3, 7.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!