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DENIUS [597]
3 years ago
11

Lamp is reduced from $80. to $50. what is the percent of decrease

Mathematics
1 answer:
WITCHER [35]3 years ago
8 0

Answer:

30/80 is the fraction of decrease. Converting this to a fraction with a denominator of 100, we get the fraction; 

37.5/100

Now we just take the numerator of the number to get the percent, which is the solution. 


37.5%



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A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector
babunello [35]

Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

Perimeter of Sector, P = arc length, s + 2r

Perimeter = rθ + 2r

r = Radius

18cm = r(2.5) + 2r

18cm = 2.5r + 2r

18cm = 4.5r

r = 18 /4.5

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8 0
2 years ago
Jeremiah is driving from Pensacola to Jacksonville. The graph shows his distance from Jacksonville. 36 E 320 28 240 20 160 120 4
3241004551 [841]
The speed is the change in position divided by the time.

There are four intervals where the speed is uniform:

1) from 0 to 0,5 hours
2) from 0,5 hours to 3 hours
3) from 3 to 4 hours
4) from 4 to 7 hours

We are asked to say the average speed during the interval in which J. is traveling the fastest.

That is where the is more inclined, and that happen in the last interval. There the speed is tha change in position / the time =
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If you are not sure that this is the fastest speed, you can calculate the speed in the other intervals in the same way and compare.
8 0
3 years ago
Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different
N76 [4]

Answer:

(a)  As time increases, the amount of water in the pool increases.

     11 gallons per minute

(b)  65 gallons

Step-by-step explanation:

From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.

We are told that Ann adds water at a constant rate.  Therefore, this can be modeled as a linear function.  

The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).

Choose 2 ordered pairs from the table:

\textsf{let}\:(x_1,y_1)=(8, 153)

\textsf{let}\:(x_2,y_2)=(12,197)

Input these into the slope formula:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11

Therefore, the rate at which the water in the pool is increasing is:

<u>11 gallons per minute</u>

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

y-y_1=m(x-x_1)

\implies y-153=11(x-8)

\implies y-153=11x-88

\implies y=11x-88+153

\implies y=11x+65

When Ann had added no water, x = 0.  Therefore,

y=11(0)+65

y=65

So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.

3 0
2 years ago
Read 2 more answers
A softball fits snuggly inside a cubical box that is 4 inches on each side. What is the volume of the softball that fits snuggly
Natali5045456 [20]

Answer:

33.5 cubic inches.

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The volume of the softball is 33.5 cubic inches.

4 0
2 years ago
At the end of the current year, Accounts Receivable has a balance of $4,375,000; Allowance for Doubtful Accounts has a debit bal
Advocard [28]

Answer:

$226,300

Step-by-step explanation:

Given Allowance for Doubtful Accounts is estimated as $205,000 and Allowance for Doubtful Accounts has a debit balance of $21,300

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Hence,  the amount of the adjusting entry for uncollectible accounts is $226,300

8 0
2 years ago
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