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love history
22 hours ago
9

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 ls will be in each package?
Mathematics
2 answers:
Svet_ta [4.3K]22 hours ago
6 0
To find the maximum number of identical packs we see we have 72 pencils and 24 calculators.

This involves discovering the largest number that divides both 72 and 24 evenly,
which is known as the GCM or greatest common multiplier.

To determine the GCM, factor 72 into primes and group them:
72=2 times 2 times 2 times 3 times 3
24=2 times 2 times 2 times 3
Thus, the common grouping is 2 times 2 times 2 times 3, equating to 24.
Therefore, the maximum number of packs is 24.

For pencils:
72 divided by 24=3
Resulting in 3 pencils per pack.

For calculators:
24 divided by 24=1
So, 1 calculator per pack.

The outcome is 3 pencils and 1 calculator in each pack.
Inessa [3.9K]22 hours ago
3 0

3 pencils per box.

The GCF of 72 and 24 is 24. 72 divided by 24 equals 3, and 24 divided by 24 gives 1.

Consequently, there are 3 pencils and 1 calculator per box. In summary, there are 3 pencils for each box.

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What is the inverse of the function f(x) = 2x – 10?
Zina [3914]

Hello

1). Start by replacing f(x) with y.

2). Next, switch the variables x and y.

3). Solve for y.

The function is f(x)= 2x-10

So, we have y= 2x-10

This translates to x= 2y-10

Then, rewriting gives us x+10 = 2y

Ultimately, we find y = x/2 + 5

I hope this information was helpful!

Disclaimer:

Always verify your answers against a credible source, as errors are possible.

5 0
2 days ago
Read 2 more answers
A newspaper vendor sells three papers to 135 customers, the papers are the daily times, the observer and the new Nigeria. 70 cus
AnnZ [3877]

Answer:

Three customers purchased all three newspapers.

Step-by-step explanation:

Let D, O, and N stand for the three newspapers.

D = The Daily Times

O = The Observer

N = The New Nigeria.

According to the provided information,

n(D\cup O\cup N)=135, n(D)=70,n(O)=60,n(N)=50

n(D\cap O)=17, n(O\cap N)=15, n(D\cap N)=16

We can deduce that:

n(A\cup B\cup C) = n(A) + n(B) + n(C)-n(A\cap B)-n(B\cap C)-n(C\cap A) + n(A\cap B\cap C)

Applying this formula, we discover

n(D\cup O\cup N) = n(D)+n(O) + n(N)-n(D\cap O)-n(O\cap N)-n(N\cap D) + n(D\cap O\cap N)

135 =70+60+50-17-15-16 +n(D\cap O\cap N)

135 =132+n(D\cap O\cap N)

135 -132=n(D\cap O\cap N)

3=n(D\cap O\cap N)

Hence, three customers bought all three papers.

5 0
8 hours ago
L'età media di Aldo, Bruno, Carlo e Davide è 16 anni. Se non si tiene conto di Davide, l'età media dei tre rimanenti sale a 18.
AnnZ [3877]

Answer:

Davide is 10 years old.

L'età di Davide è 10.

Step-by-step explanation:

The average ages of Aldo, Bruno, Carlo, and Davide amount to 16 years.

Let’s denote:

x for Aldo's age.

y for Bruno's age.

z for Carlo's age.

w for Davide's age.

The average for all four is 16 years.

This gives us:

16 = \frac{x + y + z + w}{4}

x + y + z + w = 64

Excluding Davide, the average age of the other three is 18. Therefore:

18 = \frac{x + y + z}{3}

x + y + z = 54

Substituting into the original equation:

x + y + z + w = 64

54 + w = 64

w = 10

Hence, Davide’s age is indeed 10.

L'età di Davide è 10.

4 0
4 days ago
Sarah and her children went into a movie theater and she bought $35.50 worth of drinks and candies. Each drink costs $5 and each
AnnZ [3877]

Answer:

Sarah purchased 2 drinks and 6 candies.

Step-by-step explanation:

Let

x ----> the quantity of drinks Sarah bought.

y ----> the number of candies acquired by Sarah.

We know that

the total spent on drinks and candies was $35.50

therefore,

5x+4.25y=35.50 -----> equation A

She bought 3 times more candies compared to drinks.

thus,

y=3x -----> equation B

To resolve the equations graphically

The solution lies at the intersection of the two graphs

utilizing a graphing tool

The result is the coordinate (2,6)

therefore,

Sarah bought 2 drinks and 6 candies.

4 0
5 days ago
According to the U.S. Census Bureau (2016), a substantial pay gap still exists. The average American man, with an advanced colle
Leona [4166]

Answer:

The earnings gap, over a career spanning 30 years, between men and women totals $1,200,150

Step-by-step explanation:

Calculated annually.

The typical male earns $90,761 each year.

The typical female earns $50,756 per annum.

Therefore, the annual difference is:

90,761 - 50,756 = 40,005

Across 30 years:

30*40,005 = 1,200,150

The earnings gap over a 30-year career, when comparing men and women, is $1,200,150

0 0
16 days ago
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