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Sindrei [870]
3 years ago
15

Keith’s gas tank is 1/3 full. After he buys 2 gallons of gas, it is 1/2 full. How many gallons can Keith’s tank hold?

Mathematics
2 answers:
kkurt [141]3 years ago
8 0
It would be 12.

So first you have to find a common denominator between 1/3 and 1/2 which is 6
So subtract 2/6 from 3/6 which is 1/6.
So 1/6 of the gas tank is equal to 2 gallons so you multiply 2 by 6 which is 12 and that is your answer.
madam [21]3 years ago
6 0
It will be 3 cuz why not lol
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how many different four letter permutations can be formed using four letters out of the first 12 in the alphabet?
Verizon [17]

Answer:

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

Permutations of four letters from a set of 12 letters. So

P_{(12,4)} = \frac{12!}{(12-4)!} = 11800

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

3 0
2 years ago
the time required to assemble computers varies directly as the number of computers assembled and inversely as the number of work
olga2289 [7]

Answer:

16 hours

Step-by-step explanation:

let t be time, n the number of computers and w the number of workers, then

t = \frac{kn}{w} ← k is the constant of variation

To find k use the condition n = 30, w = 6 and t = 10 , then

10 = \frac{30k}{6} ( multiply both sides by 6 )

60 = 30k ( divide both sides by 30 )

2 = k

t = \frac{2n}{w} ← equation of variation

When w = 5 and n = 40 , then

t = \frac{2(40)}{5} = \frac{80}{5} = 16 hours

3 0
2 years ago
The length of a rectangular garden is 5 times its width.
Delvig [45]

Answer:

  • 10 m and 50 m

Step-by-step explanation:

<h3>Given</h3>
  • l = 5w
  • A = 500 m²
<h3>To find</h3>
  • Length and width
<h3>Solution</h3>

Area formula

  • A = lw
  • A= 5w*w= 5w²
  • 5w² = 500
  • w²= 100
  • w = √100
  • w = 10 m

Then

  • l = 5w = 5*10 m = 50 m

3 0
2 years ago
Last month, when Joe took his puppy to the veterinarian, the puppy weighed 5.4 pounds. This month, the puppy weighed 7.56 pounds
tino4ka555 [31]

<u>Answer:</u>

40%

<u>Step-by-step explanation:</u>

We are given that last month, Joe's puppy weight 5.4 pounds while this month, the puppy weighed 7.56 pounds.

We are to find the percentage increase of the weight of the puppy

We know that the formula of percentage increase if given by:

<em>Percentage increase = (new value - initial value)/initial value × 100</em>

So substituting the given values to get:

Percentage increase in puppy's weight = \frac{7.56-5.4}{5.4} \times 100 = 40%

7 0
3 years ago
Ana escribe conjuntos de cinco enteros positivos consecutivos con la siguiente propiedad: La suma de tres de los números es tan
Keith_Richards [23]

Answer:

a) 1.

Step-by-step explanation:

Supongamos que el primer número entero positivo es a tal que a ∈ Z⁺.

Luego, el conjunto de los cinco enteros positivos se puede expresar como

A = {a; a+1; a+2; a+3; a+4}

Dada la condición del problema, se debe cumplir que

a + (a+1) + (a+2) = (a+3) + (a+4)

⇒  3a + 3 = 2a + 7

Resolviendo la ecuación resulta

a = 4

Luego, el conjunto A nos resulta

A = {4; 5; 6; 7; 8}

Puede concluirse que sólo un conjunto cumple con esta condición.

5 0
2 years ago
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