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3 years ago

Put these fractions in order from greatest to least. 8/9 8/11 8/10 8/12

Mathematics

1 answer:

kolbaska11 [484]3 years ago

5 0

Answer:

8/9, 8/10, 8/11, 8/12

Step-by-step explanation:

If you convert the fractions to percents, 8/9 would be 88%, 8/10 would be 80%, 8/11 would be 72%, and 8/12 would be 66%. Since its greatest to least, you would use the original fractions, but these percents would help you get the correct answer.

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A golfer hits a ball from a starting elevation of 2 feet with a velocity of 70 feet per second down to a green with an elevation

ikadub [295]

Answer:

4.50 s

Step-by-step explanation:

The motion of the ball is represented by the following equation:

$h(t) = 2+70t-16t^2$ (1)

where

h(t) is the elevation at time t

2 ft is the initial elevation at t = 0

+70 ft/s is the initial vertical velocity

$-32 ft/s^2$ is the acceleration due to gravity

The green is located at an elevation of -7 feet, so the ball lands on the green when

h(t) = -7

Substituting into (1)

$-7=2+70t-16t^2$

And re-arranging we get

$16t^2-70t-9=0$

This is a second-order equation in the form

$at^2+bt+c=0$

which has solutions

$t_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ (2)

Here we have:

a = 16

b = -70

c = -9

Substituting into (2) we find the solutions:

$t_{1,2}=\frac{70\pm \sqrt{(-70)^2-4(16)(-9)}}{2(16)}$

The two solutions are:

t = 4.50 s

t = -0.125 s

The second solution is negative, and since negative time has no physical meaning, the only correct solution is

t = 4.50 s

5 0

3 years ago

25 The library has an empty bookcase with 4 shelves. Each shelf can hold 23 chapter þooks. If the library has 117 new chapter bo

bixtya [17]

Answer:

25 chapter books

Step-by-step explanation:

117 - (23×4)

[23×4=92]

.°. 117 - 92 = 25

7 0

3 years ago

Read 2 more answers

X - 6 = 8 what is x?

kondor19780726 [428]

Answer:

$x = 14$

Step-by-step explanation:

$x - 6 = 8$
Group like terms.
$x = 8 + 6$
$x = 14$

5 0

3 years ago

Read 2 more answers

Are the dotted lines in the shape parallel, perpendicular or intersecting?

slava [35]

Answer:

Parallel

Step-by-step explanation:

The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.

Have a great day <3

8 0

3 years ago

Select all the correct answers. Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If th

mojhsa [17]

Answer: T = 4c + 4t + 3s

Step-by-step explanation:

Stocks contains:

4-legged chairs

4-legged tables

3-legged stools

So, 1 chair has legs = 4

So, c chairs has legs = 4c

1 table has legs = 4

So, t tables has legs = 4t

1 stool has legs = 3

So, s stools has legs = 3s

Let T denotes the total no. of legs

So, the total number of furniture legs in aisle 2 :

T = 4c + 4t + 3s

6 0

3 years ago