MATHEMATICS HIGH SCHOOL

What is the solution set of {x | x < 2} ∪ {x | x ≥ 2}

Answers

Answer 1
Answer: The union of two sets is defined as all elements that are members of both sets.

The first set evaluuates to (...,...,...-2,-1,0,1) and the second eveluates to (2,3,4,5,...,...).

There are no elements that belong to both sets so the solution is the empty set. {∅}

Another way is to think about it in words: "What number(s) are less that 2 and also equal to to greater than 2?" Clearly there is no number that fits both of those. 

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I NEED HELP ASAP (A new pizza shop opened up and started out$5,344.46 in the hole. Their first month being open they sold 61 pizzas ($3.06 profit each) and 89 sodas ($1.42 profit each). Thier bills for the first month were $1,208.01. How much money do they still need to make to break even?

Answers

Answer:

$894.97 is needed more to break even

Step-by-step explanation:

In this question, we want to know how much money the pizza shop need so that their profits will equal their expenses.

Let’s calculate their profit

This can be calculated from the pizza sales

That would be;

61(3.06) + 89(1.42) = $186.66 + $126.38 = $313.04

Now, given that their bills for the first month is $1,208.01, the amount still needed to break even would be the amount of their bills minus the profit made from selling soda and pizza

That would be 1,208.01 - 313.04 = $894.97

A food pantry distributes 10-ounce bags of flour. A supermarket donates nine 5-pound bags to the pantry. How many 10-ounce bags can workers at the food pantry make with the nine bags?

Answers

Given:
nine 5 pound bags 
distributed into 10-ounce bags

1 pound = 16 ounces

9 x 5 pounds = 45 pounds

45 pounds * 16 ounces/lbs = 45 * 16 oz = 720 ounces

720 ounces / 10 ounce bags = 720/10 = 72 bags.

The workers at the food pantry will be able to make 72 bags.

In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store. He marked down DVD players by 36%, and he marked down stereo tuners by 22%. If DVD players cost $41.60 after the markdown and stereo tuners cost $69.42 after the markdown, which item’s price was reduced by more, and by how many dollars more was it reduced? Round all dollar values to the nearest cent.

Answers

Answer:

a) Which item’s price was reduced by more, and by how many dollars more was it reduced?

The DVD player's price was reduced more by $3.82 than the stereo tuner's price.

b) Round all dollar values to the nearest cent.

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

The DVD player's price was reduced by 382 cents more than the stereo tuner's price

Step-by-step explanation:

Lets day the original price of the DVD player was $100

We are told the price was marked down to 36%

36% of $100 = $36

$100 - $36 = $64

We are told the DVD cost $41.60 after the markdown.

Original cost of DVD =

$41.60/$64 × 100 = $65

Lets the original price of the Stereo player was $100

We are told the price was marked down to 22%

22% of $100 = $22

$100 - $22 = $78

We are told the DVD cost $69.42 after the markdown.

Original cost of Stereo =

$69.42/$78 × 100 = $89

DVD = $65 - $41.60 = $23.40 less 

Stereo = $89 - 69.42 = $19.58 less

Difference between the DVD and the Stereo is

$23.40 - $19.58 = $3.82

Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

Answer:

The answer is A on edg 2020

Step-by-step explanation:

In a discount clothing​ store, all sweaters are sold at one fixed price and all shirts are sold at another fixed price. If one sweater and four shirts cost ​$45​, while four sweaters and five shirts cost ​$92​, find the price of one sweater and the price of one shirt.

Answers

Say SH is the shirt cost and SW is the sweater cost: 
SW + 3SH = 42 
3SW+2SH = 56 

Solve the first for SW: 
SW = 42-3SH 

Plug that into the second: 
3(42-3SH) +2SH = 56 

Simplify: 
126 - 9SH +2SH = 56 
70 = 7SH 
SH = 10 

Plug this back into the SW formula: 
SW = 42 - 3SH = 42 - 3*10 = 12 

Shirts cost $10, sweaters cost $12. 

To form a right triangle, Emil put together three square tiles with side lengths of 12 centimeters, 15 centimeters, and x centimeters. Which statement is true about the area A of the smallest tile?

Answers

Answer: A= 15^2 - 12^2

Step-by-step explanation:

Answer:

yes,because it  passes the vertical line test

Step-by-step explanation:

2/3 as a whole number

Answers

285 x 2 to get 570, then divide by 3, which equals 190
2/3 isn't a whole number because it's equal to:

0.666666666666....

Whole numbers are numbers such as:

0, 1, 2, 3 etc.
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