All categories

3 years ago

How to do conditional statements

1 answer:

4 0

If I help you get an A in math, then you will give me ten thousand dollars. I like this statement. Do you? You might be laughing and saying to yourself 'yeah right,' but in the mathematical world of logic, this statement holds true just because of the way it is written. A statement like this is called a conditional statement because it has an if-then structure. All conditional statements say something like, 'If this happens, then that will occur.' Do you see how the statement I made to you earlier fits the if-then structure?

You can make conditional statements from anything you can think of as long as you have the if-then structure. Let's look at these examples.

If Carlos gets a car, then Lily's dog will be trained.

If Sam eats chocolate ice cream, then Judy eats double chocolate ice cream.

If a square is a rectangle, then a rectangle is a quadrilateral.

Notice how all of these are structured the same. All of them start with an 'if' part followed by a 'then' part.

You might be interested in

Do you have textbooks

Fittoniya [83]

There are holt textbooks online if you have an Eclass course page.

7 0

3 years ago

A farmer has 240 acres to plant. He needs to decide how many acres of corn to plant and how many of oats. He can make $40 per ac

Gala2k [10]

Answer:

The acres of each the farmer must plant to obtain the maximum profit is:

160 acres of oat.
80 acres of corn.

Step-by-step explanation:

First, we're gonna take the data of the exercise:

Area: 240 acres.
Profit of the corn: $40/acre
Profit of the oat: $30/acre
Time spent by corn: 2 hour per acre.
Time spent by oat: 1 hour per acre.
Total working time available: 320 hours.

Now, we're gonna suppose that all the area could be planted with corn (the most profitable), in this form, we obtain the highest profit to take this how reference:

Total profit with corn = area * profit of the corn
Total profit with corn = 240 acres * $40/acre
Total profit with corn = $9600

How you can see, $9600 is the highest profit that the farmer can obtain, but, as each acre of corn needs 2 hours, the farmer would need 480 hours of labor to plant all the area with corn, with the 320 hours availables, the farmer just could plant 160 acres of corn, therefore, the real profit would be:

Total profit with corn = 160 * $40
Total profit with corn = $6400

Now, we're gonna make the same exercise but with the oats, to obtain the total profit with this:

Total profit with oat = area * profit of the oat
Total profit with oat = 240 acres * $30/acre
Total profit with oat = $7200

Taking into account the hours of labor availables, the oat gives $800 more profit than the corn, but in that case we'd lose 80 hours of labor that could be used to make a better profit, but, as the oat per hour of labor is more profitable, we're gonna use 2/3 of the area to plant oat and 1/3 to plant corn:

Area used for oat = 240 acres * 2/3
Area used for oat = 160 acres
Area used for corn = 240 acres * 1/3
Area used for corn = 80 acres

How you can see, with 160 acres of oat, the farmer would need 160 hours of labor and, with 80 acres of corn, the farmer would need 160 hours of labor too, by this, we know all the available time will be used, now, we're gonna calculate the profit in each case:

Real profit with oat = used area * profit of the oat
Real profit with oat = 160 acres * $30/acre
Real profit with oat = $4800
Real profit with corn = 80 acres * $40/acre
Real profit with corn = $3200

The total profit to the farmer with this plan is:

Total profit = Corn profit + Oat profit
Total profit = $3200 + $4800
Total profit = $8000

The profit with the given plan is $8000, that is better than the profit only with oat or corn separately and, this is the maximum profit the farmer can make.

7 0

3 years ago

f of x equals the quantity x minus one times the quantity x plus two times the quantity x plus four all divided by the quantity

Alik [6]

$f(x)=\frac{(x-1)(x+2)(x+4)}{(x+1)(x-2)(x-4)}$

The denominator of a fraction can't be equal to 0.
$(x+1)(x-2)(x-4) \not= 0 \\
x+1 \not=0 \ \land \ x-2 \not= 0 \ \land \ x-4 \not= 0 \\
x \not= -1 \ \land \ x \not = 2 \ \land \ x \not= 4$

The function is undefined at x=-1, x=2, x=4, because for these values the denominator of the function would equal 0, and it's impossible to divide by 0.

Edward is correct.

7 0

4 years ago

The team gets

guapka [62]

3 points for a draw thats the answer

5 0

2 years ago

Find the theoretical probability of randomly choosing a vowel from the letters in experment.

Vinil7 [7]

There are 26 letter and 5 vowels. That means that the probability is 5/26.
Hope this helps!

4 0

3 years ago