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bearhunter [10]
3 years ago
5

A resturant reserved 85 halves of cantaloupe during a busy weekend. How many whole cantaloupes is this?

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

42 1/2 (D)

85/2=42 1/2

you divide 85 by 2 because there are two halves in one whole

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Four friends buy a cinema tickets using this filter.
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Six distinct integers are picked from the set {1, 2, 3,…, 10}. How many selections are there, in which the second smallest integ
Ksivusya [100]

Answer:

1680 ways

Step-by-step explanation:

Total number of integers = 10

Number of integers to be selected = 6

Second smallest integer must be 3. This means the smallest integer can be either 1 or 2. So, there are 2 ways to select the smallest integer and only 1 way to select the second smallest integer.

<u>2 ways</u>   <u>1 way</u>  <u>       </u>  <u>        </u>  <u>        </u>  <u>        </u>

Each of the line represent the digit in the integer.

After selecting the two digits, we have 4 places which can be filled by 7 integers. Number of ways to select 4 digits from 7 will be 7P4 = 840

Therefore, the total number of ways to form 6 distinct integers according to the given criteria will be = 1 x 2 x 840 = 1680 ways

Therefore, there are 1680 ways to pick six distinct integers.

6 0
3 years ago
If 1/5 of the remaining blueberries is used to make muffins how many pounds of blueberries are left in the container
nlexa [21]

Answer:

4/5.

Step-by-step explanation:

would you mind looking at my question :)

3 0
3 years ago
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x-y=
Bond [772]

Answer:

The system of linear equations has infinitely many solutions

Step-by-step explanation:

Let's modified the equations and find the answer.

Using the first equation:

2x-y=5 we can multiply by 2 in both sides, obtaining:

2*(2x-y)=2*5 which can by simplified as:

4x-2y=10 which is equal to:

4x=2y+10

Considering the second equation:

=4x+ky=2

Taking into account that from the first equation we know that: 4x=2y+10, we can express the second equation as:

2y+10+ky=2, which can be simplified as:

(2+k)y=2-10

(2+k)y=-8

y=-8/(2+k)

Because (-8) is being divided by (2+k), then (2+k) can't be equal to 0, so:

2+k=0 if k=-2

This means that k can be any number different than -2, and for each of these solutions, there is a different solution for y, allowing also, different solutions for x.

For example, if k=0 then

y=-8/(2+0) which give us y=-4, and, because:

4x=2y+10 if y=-4 then x=(-8+10)/4=0.5

Now let's try with k=-1, then:

y=-8/(2-1) which give us y=-8, and, because:

4x=2y+10 if y=-8 then x=(-16+10)/4=-1.5.

Then, the system of linear equations has infinitely many solutions

8 0
3 years ago
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