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Oksana_A [137]
2 years ago
5

Heating oil is to be poured at the constant rate of 4.5 gallons per minute into a 400-gallon tank that already contains 115 gall

ons of heating oil. What fraction of the tank's total capacity will be full in 30 minutes?
Mathematics
1 answer:
kirill [66]2 years ago
3 0

Answer:

5/8

Step-by-step explanation:

The volume after 30 minutes is:

(4.5 gal/min) (30 min) + 115 gal = 250 gal

The fraction of total capacity is:

250 gal / 400 gal = 5/8

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The figure shown is often used to prove the Pythagorean theorem. Part of the proof is
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if you need hlep with any thing we can do a zoom if you now how to set it up.

Step-by-step explanation:

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2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of th
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11.25

Step-by-step explanation:

sketch a triangle and fill in the sides,add the sides and equate to 180, collect the like terms to get the value of x=11.25

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2 years ago
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Isaiah's family took a road trip to Mount Rushmore. Isaiah slept for the last 290 miles of the trip. If the total length of the
Leviafan [203]

Answer:

58%

Step-by-step explanation:

We need to find what percent 290 is of 500.

percent = part/whole × 100%

percent = 290/500 × 100%

percent = 58%

Answer: 58%

6 0
1 year ago
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well
laiz [17]

Answer:

The  value is  P(A) =  0.133617

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu =  7.5

  The standard deviation is  \sigma  =  0.2

  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       P(A) =  1 - P(7.2 \le X  \le 7.8 )

Here  

      P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma }

Generally \frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )

So

 P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z    

 P(7.2 < X  < 7.8 ) = P(-1.5 < Z  

=>  P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5)

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

    P(Z <  1.5) =  0.93319

and  

    P(Z <  -1.5) =  0.066807

So

      P(7.2 < X  < 7.8 ) =0.93319 - 0.066807

       P(7.2 < X  < 7.8 ) =0.0866383

So

   P(A) =  1 - 0.0866383

=>  P(A) =  0.133617

5 0
1 year ago
8.9 – 1.4x + (–6.5x) + 3.4 simplify this expression
Monica [59]

Answer:

12.3 - 7.9x

Step-by-step explanation:

I added the numbers without variables first then I added the numbers with variables:

8.9+3.4 = 12.3

-1.4x + -6.5x = -7.9x

8 0
2 years ago
Read 2 more answers
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