A fruit vendor sells apples and mangos. Each apple costs the same amount, and each mango costs the same amount.

Mathematics

1 answer:

ziro4ka [17]3 years ago

3 0

Answer:

$0.97

Step-by-step explanation:

Let the cost of a single apple is x and that of single mango is y.

ATQ,

3x+6y=9.15 ....(1)

8x+4y=11.92 ...(2)

Multiply equation (1) by 8 and equation (2) by 3

24x+48y=73.2 ...(3)

24x+12y=35.76 ...(4)

Subtract equation (2) from (1) :

24x+12y-(24x+48y) = 35.76 - 73.2

12y-48y = -37.44

-36y = -37.44

y = $1.04

Put the value of y in equation (1)

3x+6y=9.15

3x+6(1.04) = 9.15

3x = 9.15-6(1.04)

3x = 2.91

x = $0.97

Hence, the cost of single apple is $0.97.

You might be interested in

The odds against rolling a number greater than 2<br> are

Nat2105 [25]

Is that a dice your talking about?

3 0

3 years ago

Problem solving math

tatiyna

Answer: 53.1%

----------------------------

Explanation:

The change from 76.1 to 116.5 is 40.4
This means that 40.4 more million people voted in the second year compared to the first

Divide this difference (40.4 million) over the original amount (76.1 million) to get

40.4/76.1 = 0.53088 which converts to 53.088% and that rounds to 53.1%

6 0

3 years ago

Determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.

Arada [10]

The sequence $a_n=\frac{n^2}{n^3+5n}$ diverges.

For given question,

We have been given a sequence $a_n=\frac{n^2}{n^3+5n}$

We need to determine whether the sequence converges or diverges.

From given sequence we have, $a_{n+1}=\frac{(n+1)^2}{(n+1)^3+5(n+1)}$

We use Ratio Test.

According to Ratio Test, $r=\frac{a_{n+1}}{a_n}$ , where sequence converges if and only if |r| < 1.

Consider,

$\lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |\\\\= \lim_{n \to \infty} |\frac{\frac{(n+1)^2}{(n+1)^3+5(n+1)}}{\frac{n^2}{n^3+5n}} |\\\\\\= \lim_{n \to \infty} |\frac{(n+1)^2(n^3+5n)}{n^2[(n+1)^3+5(n+1)]} |\\\\=\infty$