MATHEMATICS HIGH SCHOOL

Let A = {10, 20, 30, 40, 50, 60} and B = {10, 40, 60}. What is A ∩ B?{10, 40}
{40, 60}
{10, 40, 60}
{10, 20, 30, 40, 50, 60}

Answers

Answer 1

Answer: this means common members {10,40,60}

Answer 2

Answer:

Answer:

The A ∩ B is {10, 40 ,60} .

Step-by-step explanation:

As given in the question

A = {10, 20, 30, 40, 50, 60}

B = {10, 40, 60}

The intersection A ∩ B of two sets A and B is represented the set that contains all elements of A that also belong to B .

Thus the A ∩ B becomes

A ∩ B = {10, 40 ,60}

Therefore the A ∩ B is {10, 40 ,60} .

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Question 1 (10 points)(03.01 MC)

A video game is on sale at Amazon for 30% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $22 each. They each have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game.

Pat takes 30% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay.

Henri finds 70% of the original price and then calculates 110% of the sale price.

Will Pat's strategy calculate the correct total? Explain the calculations.

Will Henri's strategy calculate the correct total? Explain the calculations.

Do they each have enough to purchase the game?

Explain your answers using complete sentences and show your work. (50 points)

Answers

Answer:

hiiii we meet again.......

Kaylee has already prepared 3 kilograms of dough and will continue preparing 8 kilograms of dough every hour. How many hours did Kaylee work if she prepared 35 kilograms of dough?

Answers

Answer:

4 hours

Step-by-step explanation:

In order to solve this problem, you need to write down the equation. The equation is 3 +8x=35. In this equation, x represents the number of hours. The coefficient is 8, and that represents the number of kilograms per hour. You subtract 3 from both sides to get 32. Next, we solve for x. Divide both sides by 8 to get x=4 hours.

WILL MARK AS BRAINIEST!Jill has a hot tub that holds 1,260 gallons of water. She needs to drain the hot tub, so that it can be moved to a new location in her backyard. If draining the hot tub is modeled by the equation y = -793/2 x + 1,260, how long will it take to drain the hot tub?

A) 2 hours 48 minutes
B) 2 hours 59 minutes
C) 3 hours 11 minutes
D) 3 hours 22 minutes

Answers

Answer:

C) 3 hours 11 minutes

Step-by-step explanation:

We are given that Jill has a hot tub that holds 1,260 gallons of water.

Draining the hot tub is modeled by the equation :

$y = (-793)/(2)x + 1,260$

Now we are asked to find how long will it take to drain the hot tub

So, substitute y = 0 in equation :

$0 = (-793)/(2)x + 1,260$

$0 =-396.5x + 1260$

$396.5x = 1260$

$x =(1260)/(396.5)$

$x =3.17780580076$

So, it will take 3.17780580076 hours

Now 1 hour = 60 minutes

So, 0.17780580076 hours = $0.17780580076 * 60$

= $10.6683480456$ minutes

≈ 11 minutes

So, it will take 3 hours and 11 minutes

Hence it will take 3 hours and 11 minutes to drain the hot tub .

B just guess i think it is B

"Twenty-eight is more than four times another number" can be shown by the inequality 28 > 4n. Select the values of n which could possibly make this a true statement.choose all answers that are correct.....

A. n>7
B.4
C.8 1/3
D7

Answers

Answer:the answer will be 4. and 6.33

Step-by-step explanation:

i did the study island and thats what i got!

if this doest help so sorry.

Final answer:

The correct values of n that make the inequality 28 > 4n a true statement are n>7 and n=7.

Explanation:

The inequality 28 > 4n represents the statement that twenty-eight is more than four times another number. To find the values of n that could make this statement true, we need to solve the inequality. Dividing both sides by 4, we get 7 > n. This means that n can take on any value less than 7, excluding 7 itself. Therefore, the correct values of n are A. n>7 and D. 7.