MATHEMATICS HIGH SCHOOL

A certain brand of coffee comes in two sizes. A 10.15-ounce package costs 2.98. A 27.8 -ounce package costs 8.99. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer 1

Answer:

Size 2 with 3.1 units price

Step-by-step explanation:

Size 1:

A 10.15-ounce package costs 2.98.

Units price of size 1 = 10.15 / 2.98

= 3.4060

Approximately 3.4

Size 2:

A 27.8 -ounce package costs 8.99.

Units price of size 2 = 27.8 / 8.99

= 3.0923

Approximately 3.1

The best size which is better buy based on unit price is size 2 with 3.1 units price

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7.25 times 8 1/2= what?

(08.01, 08.02, 08.03, 08.05, 08.06 MC)Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points)

Part B: Factor x2 + 8x + 16. Show your work. (3 points)

Part C: Factor x2 − 16. Show your work. (3 points)

Answers

Answer: The factorization of all the parts are :

Part A : $x^2y^2+6xy^2+8y^2=y^2(x+2)(x+4).$

Part B : $x^2+8x+16=(x+4)(x+4).$

Part C : $x^2-16=(x+4)(x-4).$

Step-by-step explanation: We are given to factorize the following quadratic polynomials :

Part A : Factor x²y² + 6xy² + 8y².

Part B : Factor x² + 8x + 16.

Part C: Factor x² − 16.

We will be using the following factorization formulas :

$(i)~x^2+ax+bx+ab=(x+a)(x+b),\n\n(ii)~x^2+2xa+a^2=(x+a)^2=(x+a)(x+a),\n\n(iii)~x^2-a^2=(x+a)(x-a).$

The factorization of all the parts area as follows :

Part A :

We have

$x^2y^2+6xy^2+8y^2\n\n=y^2(x^2+6x+8)\n\n=y^2(x^2+4x+2x+8)\n\n=y^2(x(x+4)+2(x+4))\n\n=y^2(x+2)(x+4).$

So, $x^2y^2+6xy^2+8y^2=y^2(x+2)(x+4).$

Part B :

We have

$x^2+8x+16\n\n=x^2+2* x*4+4^2\n\n=(x+4)^2\n\n=(x+4)(x+4).$

So, $x^2+8x+16=(x+4)(x+4).$

Part C :

We have

$x^2-16\n\n=x^2-4^2\n\n=(x+4)(x-4).$

So, $x^2-16=(x+4)(x-4).$

Thus, all the parts are factorized.

is it x times 2 times y times 2? is that what it is asking or is it meaning squared

How to solve 42 = 8m + 13m

Answers

The solution to the equation 42 = 8m + 13m is m = 2.

Here, we have,

To solve the equation 42 = 8m + 13m, you can combine like terms and isolate the variable "m".

Here's how you can do it step by step:

Combine the like terms:

42 = (8 + 13)m

Simplify:

42 = 21m

Divide both sides of the equation by 21 to isolate "m":

42/21 = (21m)/21

Simplify further:

2 = m

Therefore, the solution to the equation 42 = 8m + 13m is m = 2.

To learn more on equation click:

brainly.com/question/14468218

#SPJ6

Step one: Add 8m + 13m
21m.

21m = 42.

Step two: Divide 42 by 21.

m = 2.

adult tickets cost $10 and children's tickets to a show cost $5. if the number of children's tickets was twice the number of adult tickets, how many of each type of tickets was sold if $800 was collcted in tickets sales? ( make sure you write a legend stating what your variable represents)

Answers

x=amount of children tickes sold
y=amount of adult tickets sold

2 times of children as adult
x=2y

total cost is 800
5x+10y=800
divide both sides by 5
x+2y=160
x=2y
2y+2y=160
4y=160
divie by 4
y=40

x=2y
x=2(40)
x=80

80 children tickets
40 adult tickets

Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer: 13x-1

Step-by-step explanation:

Twenty students in class A an 20 students in class B were asked how many hours they took prepare for a exam

Answers

what are you talking about

8.92*10^9 in standard notation

Answers

8,920,000,000

Basically just add 9 0's to that number, using the first few to get rid of the decimal places.

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