Hexagon ABCDEF has has vertices A(-2,4), B(0,4), C(2,1), D(5,1), E(5,-2), F(-2,-2). Sketch the figure on the coordinate plane. What is the area of the hexagon?

A unit price of an object is simply the ratio of the total price of the object over the total mass, hence:

unit price = total price / total mass

unit price = $3.81 / 1.5 lb

unit price = $2.54 per pound

Answer:

$2.54

Final answer:

The unit price of the seedless grapes is calculated by dividing the total cost ($3.81) by the weight (1.5 lb), resulting in a unit price of $2.54 per pound.

Explanation:

To find the unit price of seedless grapes, you divide the total cost of the package by the weight of the package. If 1.5 lb of grapes costs $3.81, you would calculate the unit price by doing the following:

Divide $3.81 (total cost) by 1.5 lb (total weight).

The unit price is $2.54 per pound ($3.81 ÷ 1.5 lb = $2.54).

The unit price is helpful for comparing costs of similar products and making informed shopping decisions. Unit prices are displayed in stores to assist consumers with these comparisons.

Answer:

Sample Response: Divide the number of hits, 102, by the times at bat, 300. Then move the decimal 2 places to the right and add the percent sign to get 34%.

Step-by-step explanation:

Sample Response: Divide the number of hits, 102, by the times at bat, 300. Then move the decimal 2 places to the right and add the percent sign to get 34%.

The percent of times the baseball player got a hit out of the number of times at bat will be 34%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

A baseball player got 102 hits in the last 300 times at bat.

Then the percent of times the baseball player got a hit out of the number of times at bat will be

P = (102 / 300) x 100

P = 0.34 x 100

P = 34%

The percent of times the baseball player got a hit out of the number of times at bat will be 34%.

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Answer:

c 35+0.05m=50+0.01

Step-by-step explanation:

because the person who commented said

The prime factors of the given number 220 in index form are [tex]2^2 \times 5 \times 11[/tex]

The prime factors of a number are the factors that have only two factors, 1 and the number itself.

Index form is defined as that number represented as an exponential expression or as a single number raised to another number.

An algebraic expression or a number that divides another number without leaving any remainder and the quotient is a whole number is called a factor.

The prime factors of 220 in ascending order are,

[tex]220 = 2 \times 2 \times \ 5 \times 11[/tex]

The prime factors of 220 in index form can be written as:

[tex]220 = 2^2 \times 5 \times 11[/tex]

Thus, the prime factor of 220 in the index form is [tex]2^2 \times 5 \times 11[/tex].

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The solution of the expression 7x2y is 112.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 7x2y and the values x = 4 and y = 2.

The expression will be solved as:-

E = 7x2y

E = ( 7 x 4 x 2 x 2)

E = 28 x 4

E = 112

Therefore, the solution will be 112.

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Answer:

Option (B) is correct.

The mass of the reactants equals the mass of the products.

Step-by-step explanation:

According to law of conservation of mass :

In a balanced chemical equation, the mass of reactants is always equal to the mass of products.

Here, Water [tex]2H_{2}O[/tex] is the reactant which has 4 units of Hydrogen and 2 units of oxygen.

and [tex]2H_2+O_2[/tex] are products which also has 4 units 4 units of Hydrogen and 2 units of oxygen.

Thus, The mass of the reactants equals the mass of the products.

Thus, option (B) is correct.

Answer:

The answer is all real numbers between 19 and 54 inclusive

Good Luck!

Answer:

[tex]F'(15,\ 30),\ U'(25,\ 10),\ T'(10,\ -15),\ B'(-15,\ -10),\ O'(-25,\ 5),\ L'(-10,\ 25)[/tex]

Step-by-step explanation:

We known that ,

When a figure (with coordinate (x,y)) gets dilated by a scale factor k from origin (0,0) , then the coordinate of the new image will become :-

[tex](x,y)\to(kx,ky)[/tex]

Given : Hexagon FUTBOL has coordinates F(3,6), U(5,2), T(2,-3), B(-3,-2), O(-5,1) and L(-2,5), and it is dilated by scale factor of 5 centered at origin.

Then, the coordinates of F'U'T'B'O'L' will be :-

[tex]F(3,6)\toF'(5(3),\ 5(6))=F'(15,\ 30)[/tex]

[tex]U(5,2)\toU'(5(5),\ 5(2))=U'(25,\ 10)[/tex]

[tex]T(2,-3)\toT'(5(2),\ 5(-3))=T'(10,\ -15)[/tex]

[tex]B(-3,-2)\toB'(5(-3),\ 5(-2))=B'(-15,\ -10)[/tex]

[tex]O(-5,1) \toO'(5(-5),\ 5(1))=O'(-25,\ 5)[/tex]

[tex]L(-2,5) \toL'(5(-2),\ 5(5))=L'(-10,\ 25)[/tex]

Hence, the coordinates of F'U'T'B'O'L' will be :-

[tex]F'(15,\ 30),\ U'(25,\ 10),\ T'(10,\ -15),\ B'(-15,\ -10),\ O'(-25,\ 5),\ L'(-10,\ 25)[/tex]

To calculate the total amount Zuma spent on a snowboard, first determine the sale price by subtracting the discount from the original price, then add the sales tax to the sale price. Zuma spent a total of $238.95 on the snowboard after a 25% discount and an additional 8% sales tax.

To find out how much Zuma spent to buy the snowboard, we have to first calculate the discounted price of the snowboard and then add the sales tax to it.

Step 1: Calculate the discount amount by multiplying the original price by the discount rate in decimal form.

Discount = Original Price × Discount Rate

Discount = $295 × 0.25 = $73.75

Step 2: To find the sale price, subtract the discount amount from the original price.

Sale Price = Original Price - Discount

Sale Price = $295 - $73.75 = $221.25

Step 3: Calculate the sales tax by multiplying the sale price by the tax rate in decimal form.

Sales Tax = Sale Price × Tax Rate

Sales Tax = $221.25 × 0.08 = $17.70

Step 4: To find the total amount spent, add the sales tax to the sale price.

Total Spent = Sale Price + Sales Tax

Total Spent = $221.25 + $17.70 = $238.95

Zuma spent $238.95 to buy the snowboard.

it is 19. i just took the test.

six puzzles for $11.99 each and a board game for $15.89

Barbara will be able to make any purchase that costs less than or equal to $90.00 without using her credit card.

Barbara has $70.00 in her pocket and a $20 gift card, so she has a total of $70.00 + $20.00 = $90.00 to spend.

Which purchase will she be able to make without having to use her credit card depends on the prices of the items she is considering buying. If the price of an item is less than or equal to $90.00, then Barbara will be able to purchase it without using her credit card.

Here are some examples of purchases that Barbara will be able to make without using her credit card:

A $60.00 shirt and a $30.00 pair of pants

A $75.00 meal at a restaurant

A $90.00 pair of shoes

Here are some examples of purchases that Barbara will not be able to make without using her credit card:

A $100.00 TV

A $200.00 laptop

A $300.00 phone

In general, Barbara will be able to make any purchase that costs less than or equal to $90.00 without using her credit card.

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Final answer:

Mr. Young has 60 pencils, and the whole school has 400 pencils, calculated by multiplying Jack's 2 pencils by 30 and 200 respectively.

Explanation:

Mr. Young has 30 times as many pencils as Jack. If Jack has 2 pencils, then to find out how many pencils Mr. Young has, we simply multiply Jack's number of pencils by 30:

Mr. Young's pencils = Jack's pencils × 30

Mr. Young's pencils = 2 × 30 = 60 pencils.

Similarly, the whole school has 200 times as many pencils as Jack. To find out how many pencils the whole school has, we multiply Jack's number of pencils by 200:

The whole school's pencils = Jack's pencils × 200

The whole school's pencils = 2 × 200 = 400 pencils.

Answer:

45 feet of lace is not enough, because the tablecloth would need 50.24 feet of lace to go around the outside.

Step-by-step explanation:

Solve

You know that  

C

d

 = π for all circles.

C

2 × r

 =  

3.14

1

C

2 × 8

 =  

3.14

1

C

16

 =  

3.14

1

C

16

 =  

3.14 × 16

1 × 16

Since 1 times 16 is 16, multiply 3.14 by 16 to find the value of C.

C

16

 =  

50.24

16

C = 50.24  

The circumference of the expanded tablecloth is 50.24 feet.

45 feet of lace is not enough, because the tablecloth would need 50.24 feet of lace to go around the outside.