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wlad13 [49]
3 years ago
13

1. Calculate the amount of gallons needed to fill the pool shown below.

Mathematics
1 answer:
Aleks [24]3 years ago
3 0

Answer:

25,070 gal

Step-by-step explanation:

will make it simple and short.

vol =  ( a + b ) * h/2 times the depth

vol = (8 + 3.5) x (35/2) x 20 = 4025 cu. ft.  ---------->>> then convert to gal.

                              6.2288 gal

vol = 4025 cu.ft. x ----------------- =  25,070 gal

                                 1 cu.ft.

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On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove
gogolik [260]

Velocity, distance and time:

This question is solved using the following formula:

v = \frac{d}{t}

In which v is the velocity, d is the distance, and t is the time.

On the first day of travel, a driver was going at a speed of 40 mph.

Time t_1, distance of d_1, v = 40. So

v = \frac{d}{t}

40 = \frac{d_1}{t_1}

The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles

On the second day, the velocity is v = 60.

On the first day, he drove 2 more hours, which means that for the second day, the time is: t_1 - 2

On the first day, he traveled 20 more miles, which means that for the second day, the distance is: d_1 - 20

Thus

v = \frac{d}{t}

60 = \frac{d_1 - 20}{t_1 - 2}

System of equations:

Now, from the two equations, a system of equations can be built. So

40 = \frac{d_1}{t_1}

60 = \frac{d_1 - 20}{t_1 - 2}

Find the total distance traveled in the two days:

We solve the system of equation for d_1, which gets the distance on the first day. The distance on the second day is d_2 = d_1 - 20, and the total distance is:

T = d_1 + d_2 = d_1 + d_1 - 20 = 2d_1 - 20

From the first equation:

d_1 = 40t_1

t_1 = \frac{d_1}{40}

Replacing in the second equation:

60 = \frac{d_1 - 20}{t_1 - 2}

d_1 - 20 = 60t_1 - 120

d_1 - 20 = 60\frac{d_1}{40} - 120

d_1 = \frac{3d_1}{2} - 100

d_1 - \frac{3d_1}{2} = -100

-\frac{d_1}{2} = -100

\frac{d_1}{2} = 100

d_1 = 200

Thus, the total distance is:

T = 2d_1 - 20 = 2(200) - 20 = 400 - 20 = 380

The total distance traveled in two days was of 380 miles.

For the relation between velocity, distance and time, you can take a look here: brainly.com/question/14307500

3 0
3 years ago
Please help me!!
nikitadnepr [17]

its the first one

Step-by-step explanation:

because per pertains to to x

8 0
3 years ago
Positive irrational numbers; addition<br> Someone please help me!!
kap26 [50]

Answer:

Addition is...

1+1 = 2

But addition irrational numbers is...

π + 5 normally when using pi (π) the numbers are 3.14 but the number is infinite, all irrational numbers are infinite

then the sum will be 3.14 + 5 = 8.14

4 0
3 years ago
I need to solve for x and y. Any help is greatly appreciated! Thank you!
Inessa05 [86]

x=-3, y=1

Step-by-step explanation:

Given equations are:

2x-3y=-9     Eqn 1

x+y = - 2      Eqn 2

From eqn 2:

x=-y-2

Putting x=-y-2 in eqn 1

2(-y-2)-3y=-9\\-2y+4-3y=-9\\-5y-4=-9\\Adding\ 4\ on\ both\ sides\\-5y-4+4=-9+4\\-5y=-5\\Dividing\ both\ sides\ by\ -5\frac{-5y}{-5}=\frac{-5}{-5}\\y=1\\Putting\ y=1\ in\ eqn\ 2\\x+1=-2\\Subtracting\ 1\ from\ both\ sides\\x+1-1=-2-1\\x=-3

Hence,

x=-3, y=1

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/4034547
  • brainly.com/question/4054269

#LearnwithBrainly

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=7%20-%204%20%5Cfrac%7B3%7D%7B4%7D%20" id="TexFormula1" title="7 - 4 \frac{3}{4} " alt="7 - 4 \
AlladinOne [14]

7 - 4 3/4

= 28/4 - 19/4 = 9/4

Answer is 2 1/4 or 2.25.

5 0
3 years ago
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