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3 years ago

- On Tuesday, Elena completed 20 items of her math homework in 36 minutes. At that same rate, how long (

Mathematics

1 answer:

Tema [17]3 years ago

4 0

Answer:

Step-by-step explanation

20=36

1=x

Then cross multiply

20x=36

x=1.8

If it takes her 1.8 minutes to complete 1 item then:

1=1.8

35=x

x=63

It takes her 63 minutes

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How is this possible? Explain and list the two different endpoints.

balandron [24]

Roarrrrtrrtrrrtrt roarrrrtrtt

4 0

3 years ago

What is 6 1/4 divided by 2

andriy [413]

Answer:

3 1/8

Step-by-step explanation:

6 1/4 ÷ 2

~Turn each number into an improper fraction

25/4 ÷ 2/1

~Copy Dot Flip

25/4 * 1/2

~Multiply

25/8 or 3 1/8

Best of Luck!

3 0

3 years ago

Read 2 more answers

"what is the value of a in the equation 81^b=a^4b"

stira [4]

Solving for B = 0
Then We have A which is = 81 ^b

6 0

3 years ago

The denominator of a fraction is 10 more than its numerator.

Dennis_Churaev [7]

The right answer is Option C : 5

Step-by-step explanation:

Let,

The numerator of fraction = x

The denominator of a fraction is 10 more than its numerator.

$\frac{x}{x+10}$

When 1/3 is added to this fraction,

$\frac{x}{x+10}+\frac{1}{3}$

the resulting fraction’s denominator is three times the denominator of the original fraction its numerator is 15 less than its denominator

$\frac{3(x+10)-15}{3(x+10)}$

Therefore, it becomes

$\frac{x}{x+10}+\frac{1}{3} = \frac{3(x+10)-15}{3(x+10)}$

Taking LCM on left side

$\frac{3x+(x+10)}{3(x+10)}=\frac{(3x+30)-15}{3(x+10)}\\\\\frac{3x+x+10}{3(x+10)}=\frac{3x+30-15}{x(x+10)}\\\\\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}$

Multiplying both sides by 3(x+10)

$3(x+10)*\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}*3(x+10)\\4x+10=3x+15\\4x-3x=15-10\\x=5$

The numerator of original fraction is 5.

The right answer is Option C : 5

Keywords: fraction, addition

Learn more about fractions at:

#LearnwithBrainly

8 0

3 years ago

Determine the greatest common divisor of the elements of the set \[ s = \{ n^{13} - n \mid n \in \mathbb{z} \}. \]

Kay [80]

Answer:

2730

Step-by-step explanation:

We want to determine the greatest common divisor of the elements of the set $S = \{ n^{13} - n \mid n \in \mathbb{Z} \}.$

We apply the Fermat's little theorem which states that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p.

Now, $n^{13} \equiv n \mod p$ if p-1 divides 12.

Since the of 12 are 1,2,3,4, 6, 12, the corresponding primes are 2, 3, 5, 7, 13.

Therefore, the gcd of the elements in $2^{13}-2$ and $3^{13}-3$ is 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13.$

2*3*5*7*13=2730

Therefore, the gcd of the elements in set S is 2730.

5 0

3 years ago