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
ValentinkaMS [17]
3 years ago
15

Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators. He h

as 72 pencils and 24 calculators and he must use all of the pencils and calculators. If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package?
Mathematics
2 answers:
Yakvenalex [24]3 years ago
6 0

Answer:

3 pencils

Step-by-step explanation:

zmey [24]3 years ago
4 0

Answer:

3 pencils

Step-by-step explanation:

We are given Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.

Number of pencils=72

Number of calculators=24

If Zayed creates the greatest number of identical packages

Then , we find GCF of 72 and 24

72=2\times 2\times 2\times 3\times 3

24=2\times 2\times 2\times 3

GCF=2\times 2\times 2\times 3

Hence, Zayed creates 24 packages.

Number of pencils in each package=\frac{72}{24}=3

Hence, 3 pencils and one calculator will be in each package .

You might be interested in
Each day, Kyle reads 30 pages of a 450-page book. Write a linear equation to represent the number of pages Kyle has left to read
Natalija [7]

Answer:

y=-30x+450

if she reads 30 pages every day it will take 15 days

6 0
3 years ago
Let f(x) = xe^-x+ ce^-x, where c is a positive constant. For what positive value of c does f have an absolute
Illusion [34]

Answer:

c=6

Step-by-step explanation:

The absolute maximum of a continuous function f(x) is where f'(x)=0. Therefore, we must differentiate the function and then set x=-5 and f'(x)=0 to determine the value of c:

f(x)=xe^{-x}+ce^{-x}

f'(x)=-xe^{-x}+e^{-x}-ce^{-x}

0=-(-5)e^{-(-5)}+e^{-(-5)}-ce^{-(-5)}

0=5e^{5}+e^{5}-ce^{5}

0=e^5(5+1-c)

0=6-c

c=6

Therefore, when c=6, the absolute maximum of the function is x=-5.

I've attached a graph to help you visually see this.

7 0
2 years ago
Solve for P if E = 2.50 and r = 2.00 given that E = P4πr2
const2013 [10]

Answer:

P = 0.05

Step-by-step explanation:

E = P4πr²

2.50 = P4π(2)²

2.50 = P4π4

2.50 = P(50.265)

P = 0.05

5 0
3 years ago
Can you help me list 5hese from least to greatest
g100num [7]
Ok sweetheart, the easy way to solve these problems is to change them to all the same form for example "decimal" after that you sort them! just don't forget to remember which is which!!! so this is how you solve.

squared 25, 4.26, 3 1/5 2^3,2.58
i converted each so your answer is A.

4 0
2 years ago
Find the area of a sector with a 4 inch radius and arc measure of 90 degrees. use 3.14 for pi.
gulaghasi [49]

Answer:

\frac{90}{360} \pi{r}^{2}  \\ \frac{1}{4}   \times 3.14 \times  { 4}^{2}  \\  = 12.56 {in}^{2}

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em><em>.</em><em>.</em><em>.</em>

6 0
3 years ago
Other questions:
  • How do you solve this?
    8·1 answer
  • Please help! I’ve see a couple a different answers and I’m getting even more confused.&gt;&gt;Consider the equation log(3x-1)=lo
    12·1 answer
  • Is the following always, sometimes, or never true?
    11·2 answers
  • The line given passes through the points (0,-3) and (2,3)
    13·1 answer
  • Reynaldo rode his bike 2 miles north and 3 miles east. Which equation should he use to find the distance, d, that takes him dire
    14·1 answer
  • 5.
    8·1 answer
  • Question is in the photo​
    7·1 answer
  • Expand the expression
    15·2 answers
  • Hello! Any help is appreciated (:
    8·2 answers
  • If you drew a line segment from the point when Kiley’s plane took off to the point when she got off the plane, at which point wo
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!