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3 years ago

What is the value of this expression 6 7/8+ 4 1/5+ 8 1/2

Mathematics

1 answer:

S_A_V [24]3 years ago

4 0

Answer:

Fraction:783/40 Decimal:19.575

Mixed:19 23/40

Step-by-step explanation:

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In a game of cornhole, Sasha tossed a bean bag and it landed at the edge of the hole. The hole can be represented by the equatio

Nitella [24]

In the game of cornhole, when Sasha tossed a bean bag to the edge of the hole, in which the equations of the hole and bean bag's path are x² + y² = 5 and y = 0.5x² + 1.5x - 4, respectively, she could have tossed her bean bag to the points (1, -2) or (2, 1).

To find the points in which she could have tossed her bean bag, we need to intersect the two equations of the function as follows.

The equation for the hole

$x^{2} + y^{2} = 5$ (1)

The equation for the path of the bean bag

$y = 0.5x^{2} + 1.5x - 4$ (2)

By entering equation (2) into (1) we have:

$x^{2} + (0.5x^{2} + 1.5x - 4)^{2} = 5$

$x^{2} + 0.25x^{4} + 1.5x^{3} - 4x^{2} + 2.25x^{2} - 12x + 16 = 5$

$0.25x^{4} + 1.5x^{3} - 0.75x^{2} - 12x + 11 = 0$

By solving for x, we have:

x₁ = 1

x₂ = 2

Now, for y we have (eq 2):

x₁ = 1

$y_{1} = 0.5(1)^{2} + 1.5(1) - 4 = -2$

x₂ = 2

$y_{2} = 0.5(2)^{2} + 1.5(2) - 4 = 1$

Therefore, the points are (1, -2) or (2, 1).

To find more about intersections, go here: brainly.com/question/4977725?referrer=searchResults

I hope it helps you!

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3 years ago

Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. Each time that this totaled 20 fee

zloy xaker [14]

i would just answer somewhere near the bottom but since your not allowed to do that your answer is (4)(-5)(3)...leeme know if i helped...also..lemme know if i didnt help...

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3 years ago

Read 2 more answers

After a car is purchased, the value of a new car decreases $4000 each year. After 3 years, the car is worth $18000.

Over [174]

Original - 4000x

so, after 3 years we have: 

Original - 12000 = 18000 

=> Original = $30,000

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3 years ago

How does the volume of an oblique cylinder change if the radius is reduced to 2/9 of its original size and the height is quadrup

vesna_86 [32]

Volume of a cylinder = π r² h

Let us assume the following values:
radius = 9
height = 10

Volume = 3.14 * 9² * 10
= 3.14 * 81 *10
Volume = 2,543.40

Changes:
radius is reduced to 2/9 of its original size = 9 x 2/9 = 2
height is quadrupled = 10 x 4 = 40

Volume = π r² h
= 3.14 * 2² * 40
= 3.14 * 4 * 40
Volume = 502.40

Original volume = 2543.40 V.S. Volume after change = 502.40

The volume of an oblique cylinder decreased when its radius was decreased to 2/9 of its original size and its height is increased 4 times.

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It's the inverse operation of squaring that number. It's an odd definition to explain lol

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