PLS PLS PLS ANSWER IT QUICKKKK

Convert the following statement using an "if-then" structure.

GaryK [48]

Answer:

D. If John owns a dog, then he owns a cat

Step-by-step explanation:

The implication p → q (if p, then q) has the same truth table as the logical expression ~p∨q. You have the expression ...

~(John owns a dog) ∨ (he owns a cat)

Matching parts of this expression to the components of the expression ~p∨q, we see we can choose ...

p = John owns a dog
q = he owns a cat

and put those into the structure of the implication: if p, then q.

If John owns a dog, then he owns a cat. . . . . matches choice D

6 0

2 years ago

(3 points)

Snezhnost [94]

Answer:

The exponential Function is $20+12h=200$ .

Farmer will have 200 sheep after <u>15 years</u>.

Step-by-step explanation:

Given:

Number of sheep bought = 20

Annual Rate of increase in sheep = 60%

We need to find that after how many years the farmer will have 200 sheep.

Let the number of years be 'h'

First we will find the Number of sheep increase in 1 year.

Number of sheep increase in 1 year is equal to Annual Rate of increase in sheep multiplied by Number of sheep bought and then divide by 100.

framing in equation form we get;

Number of sheep increase in 1 year = $\frac{60}{100}\times20 = 12$

Now we know that the number of years farmer will have 200 sheep can be calculated by Number of sheep bought plus Number of sheep increase in 1 year multiplied by number of years is equal to 200.

Framing in equation form we get;

$20+12h=200$

The exponential Function is $20+12h=200$ .

Subtracting both side by 20 using subtraction property we get;

$20+12h-20=200-20\\\\12h=180$

Now Dividing both side by 12 using Division property we get;

$\frac{12h}{12} = \frac{180}{12}\\\\h =15$

Hence Farmer will have 200 sheep after <u>15 years</u>.

6 0

3 years ago

A movie theater has a seating capacity of 387. The theater charges $5.00 for children, $7.00 for students, and $12.00 of

Rainbow [258]

Answer:

The attendance was 198 children, 90 students and 99 adults.

Step-by-step explanation:

We define:

c: children attendance

s: students attendance

a: adult attendance

The equation that describes the total ticket sales is:

$5c+7s+12a=2808$

We also know that the children attendance doubles the adult attendance:

$c=2a$

The third equation is the seating capacity, which we assume is full:

$c+s+a=387$

We start by replacing variables in two of the equations:

$c=2a\\\\s=387-c-a=387-2a-a=387-3a$

Then, we solve the remaining equation for a:

$5c+7s+12a=2808\\\\5(2a)+7(387-3a)+12a=2808\\\\10a+(2709-21a)+12a=2808\\\\10a+12a-21a=2808-2709\\\\a=99$

Then, we solve for the other two equations:

$c=2a=2*99=198\\\\s=387-3a=387-3*99=387-297=90$

The attendance was 198 children, 90 students and 99 adults.

8 0

3 years ago

Kendle wants to play several games of laser tag. She has $35 to play g games. Each

kotykmax [81]

Answer:

C

Step-by-step explanation:

Kendle has $35 to play g amount of games. Each game cost $5, which means she can play 7 games. This can be found by 35/5.

3 0

2 years ago

Elena has 35 magazine subscriptions to sell. Each magazine subscription costs $8.50. Elena sold 17 magazine subscriptions on Fri

KengaRu [80]

Answer : The answer is $153.00 from selling magazine subscriptions on Saturday.

Explanation : We know that each magazine is equal to $8.50. At first she sold 17 of the 35 magazines. 17 x $8.50 = $144.50 from selling 17 magazines. Now we do 35-17 to get how many magazines are left. So there is 18 magazines left. We need to do the same thing we did before, 18 x $8.50 = $153.00. She got $153.00 from selling 18 magazines on Saturday.

7 0

2 years ago