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3 years ago

Simplify the expression - 1/2(5/6+1/3)

Mathematics

1 answer:

mel-nik [20]3 years ago

8 0

Answer:

- 7/12

Step-by-step explanation:

- 1/2 ( 5/6 + 1/3 )

- 1/2 ( 5/6 + 2/6)

- 1/2 ( 7/6 )

- 7/12 or - 0.58

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A woman 5 ft tall walks at the rate of 7.5 ft/sec away from a streetlight that is 10 ft above the ground. At what rate is the ti

lesya [120]

Height of the woman = 5 ft
Rate at which the woman is walking = 7.5 ft/sec
Let us assume the length of the shadow = s
Le us assume the <span>distance of the woman's feet from the base of the streetlight = x
</span>Then
s/5 = (s + x)/12
12s = 5s + 5x
7s = 5x
s = (5/7)x
Now let us differentiate with respect to t
ds/dt = (5/7)(dx/dt)
We already know that dx/dt = 7/2 ft/sec
Then
ds/dt = (5/7) * (7/2)
= (5/2)
= 2.5 ft/sec
From the above deduction, it can be easily concluded that the rate at which the tip of her shadow is moving is 2.5 ft/sec.

8 0

3 years ago

The data shown are hourly wages of some employees of a small company. $5, $7, $8, $10, $24, $40 Which values, if any, are outlie

igor_vitrenko [27]

correct answer is "NONE" NOT $40. hOPE THIS HELPS!

3 0

3 years ago

Rita gets paid $16 per hour for the first 8 hours she works each day. She earns 1 1 2 times her hourly pay rate for time she wor

omeli [17]

<h3>The total money earned by Rita on Monday = $158</h3>

Step-by-step explanation:

The rate by which Rita is paid first 8 hours = $16

The next per hour rate after 8 hours = $1\frac{1}{2} = 1.5$ times the usual rate.

Now, 1.5 times $16 = 1.5 x 1 6 = $24

So, for each hour worked after 8th hour, Rita is paid $24 per hour.

Now, the intervals she has worked are:

(a) from 8:15 to 12: 45 pm

So, the number of hours worked = 45 minutes + 45 minutes + 3 hours

= 4 hours 30 minutes .... (1) (as 60 minutes = 1 hour)

(b) break of 45 minutes after 12: 45 = 12: 45 + 45 minutes

= 12 hour 90 minutes = 1 : 30 P M

So, she started working at 1: 30 and worked till 6: 15

So, the number of hours worked = 30 minutes + 15 minutes +4 hours

= 4 hours 45 minutes .... (2)

So, by adding (1) and (2) the total hours worked by Rita

= 4 hours 30 minutes + 4 hours 45 minutes

= 8 hours 75 minutes = 9 hours 15 minutes

9 hours 15 minutes = ( 8 + 1 .25 ) ( 15 minutes = 0.25 of an hour)

So, the payment is ( 8 x (16) + 1.25 (24) )

= 128 + 30 = 158

Hence, the total money earned by Rita = $158

6 0

3 years ago

Awnser and show your work <3

marishachu [46]

Answer:

Team A: 25 players

Team B: 24 players

Step-by-step explanation:

Team A:

to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:

$\frac{5}{x} = \frac{1}{5}$

then we cross multiply to get

x*1 = 5*5

x=25 players

Team B

similarly to Team A

$\frac{3}{x} = \frac{1}{8}$

cross multiply to get

x*1=3*8

x= 24 players

6 0

2 years ago

Check my answer please

Aleksandr [31]

So it is an isosceles triangle that means that the bottom two angles are equal...
so
40 = 5x
divide both sides by 5 and you get 8

now the triangle angles add up to 180
we make an equation out of it...
(2y + 20 ) + ( 5(8)) + 40 = 180
2y + 20 + 40 + 40 = 180
combine like terms
2y + 100 = 180
so subtract 100 from both sides
2y = 80
divide by 2 to isolate the variable
y = 40

You are correct!!! :)

5 0

3 years ago