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hram777 [196]
3 years ago
15

Anne, Mary, and Lynn team up to pick apples. Anne can pick 4 baskets of apples per hour, and Mary can pick 5 baskets per hour. A

nne, Mary, and Lynn work together and pick 6 baskets of in half an hour. How many baskets of apples caqn Lynn pick by herself in 3 hours?
Mathematics
2 answers:
Marat540 [252]3 years ago
6 0

Answer:

15 baskets of apple

Step-by-step explanation:

because she can arrive 5 basket per hour

and it multiplies by 3

krek1111 [17]3 years ago
4 0

Answer:

Lynn can pick nine baskets in three hours

Step-by-step explanation:

Anne and Mary pick 9 Baskets an hour

so in a half an hour they pick 4 and a half.

But it says they pick 6 together so lynn picked one and a half baskets in a half an hour

so over an hour she picks three

and over three hours she picks nine.

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DIscrete Math
Daniel [21]

Answer:

Step-by-step explanation:

As the statement is ‘‘if and only if’’ we need to prove two implications

  1. f : X \rightarrow Y is surjective implies there exists a function h : Y \rightarrow X such that  f\circ h = 1_Y.
  2. If there exists a function h : Y \rightarrow X such that  f\circ h = 1_Y, then f : X \rightarrow Y is surjective

Let us start by the first implication.

Our hypothesis is that the function f : X \rightarrow Y is surjective. From this we know that for every y\in Y there exist, at least, one x\in X such that y=f(x).

Now, define the sets X_y = \{x\in X: y=f(x)\}. Notice that the set X_y is the pre-image of the element y. Also, from the fact that f is a function we deduce that X_{y_1}\cap X_{y_2}=\emptyset, and because  f the sets X_y are no empty.

From each set X_y  choose only one element x_y, and notice that f(x_y)=y.

So, we can define the function h:Y\rightarrow X as h(y)=x_y. It is no difficult to conclude that f\circ h(y) = f(x_y)=y. With this we have that f\circ h=1_Y, and the prove is complete.

Now, let us prove the second implication.

We have that there exists a function  h:Y\rightarrow X  such that f\circ h=1_Y.

Take an element y\in Y, then f\circ h(y)=y. Now, write x=h(y) and notice that x\in X. Also, with this we have that f(x)=y.

So, for every element y\in Y we have found that an element x\in X (recall that x=h(y)) such that y=f(x), which is equivalent to the fact that f is surjective. Therefore, the prove is complete.

3 0
3 years ago
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Answer:

820 ounces

Step-by-step explanation:

$2,460 divided by 3 = 820 ounces

820 x 3 = $2,460

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Step-by-step explanation:

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