MATHEMATICS MIDDLE SCHOOL

A new energy drink advertises 106 calories for 8oz. How many calories are in 12oz of the drink?

Answers

Answer 1

Answer:

12oz of the drink contains 159oz of calories.

To Calculate How many calories are in 12oz of the drink

A new energy drink advertises 106 calories for 8oz.

Based on the given conditions, formulate: 12*(106/8)

=12*(13.25)=159

Calories are in 12oz of the drink is 159oz

To learn more about How to Calculate calories refer:brainly.com/question/18428918

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Answer 2

Answer: The ratio between 12 and 8 is 12/8 so you multiply 106 by that. 106*12/8=159

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How to draw a model to prove that 3/10 is equal to 9/30

Answers

Well 3 x 3 = 9 and 10 x 3 = 30 and yes they are equivalent and it is valid

You show that both numbers can be multiplied by there and that gives you 9/30

natalie has a bake sale. she has 48 chocolate chip cookies to put in bags. how many bags can she fill if she puts the same number in each bagand uses them all? find atleast 3 possibilities

Answers

We need to find what numbers can multiply into 48
1 and 48, 2, and 24, 3 and 16, 4 and 12, and 6 and 8.
So she can fill 1 bag with 48 each, 48 bags with 1 each, 2 bags with 24 each, 24 bags with 2 each, 3 with 16, 16 with 3, 4 with 12, 12 with 4, 4 with 8, or 8 with 6.
You just need to pick 3 of the possibilities I gave you.
I'd pick 12 with 4 in each, 8 with 6 in each, and 6 with 8 in each

1. 8 bags - each bag would contain 6 cookies
2. 16 bags - each bag would contain 3 cookies
3. 24 bags - each bag would contain 2 cookies

The sector shows the area of a lawn that will be watered by a sprinkler. What is the area, rounded to the nearest tenth? Use 3.14 for

Answers

The area of the sector which representsthe lawn irrigated by the sprinkler is: $\mathbf{ 95.5 $ ft^2}$

Recall:

Area of sector = $(\theta)/(360) * \pi r^2$

Length of arc = $(\theta)/(360) * 2 \pi r$

Given:

$\theta = 30^(\circ)$

length of arc = 10 feet

First, find the radius using the length of arc formula.

$(\theta)/(360) * 2 \pi r$

Substitute

$10 = (30)/(360) * 2 * 3.14 * r\n\n10 = 0.52r\n\nr = (10)/(0.52) \n\nr = 19.2$

radius = 19.2 ft

Find the area of the sector:

Area of sector = $(\theta)/(360) * \pi r^2$

Substitute

$= (30)/(360) * * 3.14 * 19.2^2\n\n\mathbf{= 95.5 $ ft^2}$

The area of the sector which representsthe lawn irrigated by the sprinkler is: $\mathbf{ 95.5 $ ft^2}$

Learn more here:

brainly.com/question/14117642

Answer:

$95.5\ ft^2$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

A circumference of the circle subtends a central angle of 360 degrees

using proportion

$(2\pi r )/(360^o)=(10)/(30^o) \n\nr=(360(10))/(2(3.14)(30))\n\nr= 19.1\ ft$

step 2

Find the area of sector

we know that

The area of the circle subtends a central angle of 360 degrees

so using proportion

Let

x ----> the area of the sector

$(\pi r^(2))/(360^o)=(x)/(30^o)\n\nx=(3.14(19.1^2)(30))/(360)\n\nx=95.5\ ft^2$

Plz help
15 points and best answer to the first answer!

Answers

The probability that Cory picks a red pen is $(6)/(10)=(3)/(5)$
The probability that then Todd picks a red pen is $(5)/(9)$

$(3)/(5)\cdot(5)/(9)=(1)/(3) \Rightarrow A$

I'm not sure how to calculate 12.5% of £168 anyone that can help if so that'd be great!