Please do the bottom questions, I provided the rest.

Mathematics

2 answers:

Tresset [83]3 years ago

7 0

jndendudendndjdjndjenjdejdnjnjendjendndndjejdnednedje.Step-by-step explanation:

Aneli [31]3 years ago

4 0

Answer:

6x + 10 ≤ 100

Step-by-step explanation:

For 3.

6x + 10 ≤ 100

6x + 10 - 10 ≤ 100 - 10

6x ≤ 90

(6x)/6 ≤ 90/6

x ≤ 15

For 4.

On the number line, you draw a closed/filled dot on 15. Then you draw a line from 15 all the way to 0. You can't pass 0 because you can't buy a negative amount of food items.

For 5.

The solution, x ≤ 15, means that Aiden can by at least 15 food items and a best gas grill and not go over his budget of $100.

Hope this helps!

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There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What

antiseptic1488 [7]

Answer:

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

$63x + 7 = 23y\\63x-23y = -7$

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist $\alpha,\beta$ such that

$-23\alpha+63\beta=1$

By applying extended Euclidean Algorithm, we have,

$1 = (1\times 6)+(-1\times 5)\\1 = (1\times 17)+(3\times 6)\\1 = (3\times 23)+(-4\times 17)\\1 = (-4\times 40)+(7\times 23)\\1 = (7\times 63)+(-11\times 40)\\1 = (-11\times -23)+(-4\times 63)$