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inysia [295]
3 years ago
5

How many 2/3 ounce packages of peanuts can be made with 8

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer: 12 packages can be made.

Step-by-step explanation:

It takes three packages to make 2 ounces and 3×4=12

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The power, P (watts), of a car engine is proportional to the square of its speed, s(m/s) When s= 30 P= 1500 Work out the speed (
monitta

Answer:

S = 32.1 m/s

Step-by-step explanation:

P = 1,500

S = 30

since P is proportional to S², then we must first determine S² = 900

900 / 1,500 = S² / 1,715

(900 x 1,715) / 1,500 = S²

1,543,500 / 1,500 = S²

S² = 1,029

S = √1,029 = 32.08 m/s ≈ 32.1 m/s

7 0
3 years ago
Find the area of following rhombuses. Round your answers to the nearest tenth if<br> necessary.
polet [3.4K]

Answer:

Area =55.4ft^2

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

\tan(60) = \frac{4\sqrt 3}{x}

Solve for x

x = \frac{4\sqrt 3}{\tan(60)}

\tan(60) = \sqrt 3

So:

x = \frac{4\sqrt 3}{\sqrt 3}

x = 4

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

Base = 4\sqrt 3

Height = 4

So, the area of the rhombus is 4 times the area of 1 triangle

Area = 4 * \frac{1}{2} * Base * Height

Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4

Area =2 * 4\sqrt 3 * 4

Area =55.4ft^2

7 0
3 years ago
A bag contains 5 red marbles and 7 blue marbles. You randomly pick a marble and then pick a second without returning the marbles
elena-s [515]

Probability(both marbles are red) = 5/12 * 4/11 = 20/132


= 5/33 Answer

8 0
3 years ago
Read 2 more answers
Which expression represents the volume of this solid ?
baherus [9]

Answer:

The answer is option 5.

Step-by-step explanation:

The formula is V = 1/3×π×r²×h where r represnt radius and h is height. Given that the diameter of cone is 8 inches so the radius is 4 inches then substitute the value into the formula :

v =  \frac{1}{3}  \times \pi \times  {r}^{2}  \times h

Let r = 4,

Let h = 12,

v =  \frac{1}{3}  \times \pi  \times  {4}^{2}  \times 12

v =  \frac{( {4}^{2}\pi)12 }{3}

5 0
3 years ago
What is the point -slope form of a line with slope -4 that contains the point (-2,3)
Arada [10]

Answer:

y - 3 = -4 (x +2)

Step-by-step explanation:

Point slope form is

y -y1 = m(x-x1)  where m is the slope and ( x1,y1) is a point on the line

y - 3 = -4 (x - -2)

y - 3 = -4 (x +2)

5 0
3 years ago
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