A water tank already contains 55 gallons of water when Baxter begins to fill it. There is a crack in the tank and water begins to leak at a rate of 8 gallons per minute. Find the amount of water in the tank 6 minutes after Baxter begins filling the tank.

Answer:

a)

Step-by-step explanation:

[tex]\sqrt{315}[/tex]  is approximately 17.8

17² = 289

18² = 324

315 is between 289 and 324

The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.

The number system is a way to represent or express numbers.

A decimal number is a widespread number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given square roots,√315

The value of √91 is 17.74823935

The whole number less than  17.74823935 is 17 and greater than  17.74823935 is 18.

Thus, 17 <  17.74823935< 18

Hence "The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.".

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3.5" 12-11 9-10'8" Dt I Dt 7 LENGTH OF PIPE Det MATERIAL PI 8''PIPE STEEL SCH.40 FI 8''L.R.950 ELL B.W. F2 8 S.R.L - 13 A5 TEE А. В B С C D il 8 E RUN: 123/4" F G G Det a

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Answer:

[tex]8x + 32 + 116 = 180 \\ 8x + 148 = 180 \\ 8x = 180 - 148 \\ 8x =32 \\ \boxed{x = 4}[/tex]

[tex](7x + 5) + 52 + 67 = 180 \\ 7x + 124 = 180 \\ 7x = 56 \\ \boxed{x = 8}[/tex]

Answer & Step-by-step explanation:

5). x = 4

6). x = 8

You can write in the comments if you want an explanation.

Hope this help ;)

Answer:

The value of 4 is 400

Step-by-step explanation:

Answer:

hundred

Step-by-step explanation:

Answer:

[tex]42x^{2}[/tex]

Answer:

6

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1/2 multiplied by 1/6 equals 1/12

Answer: 12 ounces for $3.75 is the better value

Step-by-step explanation:

The 12-ounce drink for $3.75 is the best deal as it has a lower cost per ounce compared to the 14-ounce drink for $4.50.

To find the best deal, we need to compare the cost per ounce for each drink.

For the 14-ounce drink:

Cost per ounce = $4.50 / 14 = $0.3214 (rounded to four decimal places)

For the 12-ounce drink:

Cost per ounce = $3.75 / 12 = $0.3125 (rounded to four decimal places)

Comparing the cost per ounce, the 12-ounce drink has a lower cost per ounce, making it the better deal.

So, the 12-ounce drink for $3.75 is the best deal.

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Answer:

36

Step-by-step explanation:

Let the original quantity of marbles of the bag be y.

[tex]\frac{2}{3} (\frac{1}{2} )y=12[/tex]

y=36

Answer:

The answer is 42

Step-by-step explanation:

6²= 36

3(3)=9

36+9×2/3 = 42

Because he likes chicken and candy 5x7=35     ,,,,

Answer:

1.1r,-1r

2.-2x,5x

Step-by-step explanation:

i tgink tgis is what the answer os unless i am a doing the math wrong. so i hope im right and tgis helps

Answer:

x = -2, y = 21

Step-by-step explanation:

Let 4x + y = 13 to be equation1 {eqn1}

and let 5x - y = 5 to be equation2 {eqn2}

Using elimination method, you would try to make sure a particular unknown has the same value in both equation 1 and 2. This would make it easy for you to subtract one equation from the other.

Notice how the value of y is the same in both equations. That's a good sign.

But the signs aren't the same. Meaning y in eqn1 has a value of +1, and y in eqn2 has a value of -1. We need to make them similar.

So, we multiply the value of y in eqn1 by all the terms in eqn2. And, do pretty much the same thing by multiplying the value of y in eqn2 by all the terms in eqn1.

You would have:

-1 * (4x + y = 13)

+1 * (5x - y = 5)

This would result in;

-4x -  y = -13 (eqn3)

5x - y = 5 (eqn4)

So, just subtract eqn3 from 4

You would have;

(5x - -4x) + (-y -- y) = (-13 - 5)

9x + 0 = -18

x = -18/9 = -2

and to find y;

just substitute the value of x into any of the 4 equations. let's try equation 1

Therefore;

4(-2) + y = 13

-8 + y = 13

y = 13 + 8 = 21

Answer:

with what

Step-by-step explanation:

dont see nothinfg

Answer:BD equals CE? Are lines parallel

Step-by-step explanation:

Answer: miata

Step-by-step explanation:

Answer:20

Step-by-step explanation:

Answer:

[tex]KH = 55[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find KH

From the attachment:

[tex]GD = 13[/tex]   [tex]DE = 7[/tex]

[tex]HI = 29.4[/tex]

To find KH, we make use of the following equivalent ratio:

[tex]GD : DE = KH : HI[/tex]

Substitute values for GD, DE and HI

[tex]13 : 7 = KH : 29.4[/tex]

Convert to fractions

[tex]\frac{13}{7} = \frac{KH}{29.4}[/tex]

Make KH the subject

[tex]KH = \frac{13}{7} * 29.4[/tex]

[tex]KH = \frac{13* 29.4}{7}[/tex]

[tex]KH = \frac{382.2}{7}[/tex]

[tex]KH = 54.6[/tex]

[tex]KH = 55[/tex] --- approximated

Answer:

M₁=Fr²/GM₂

Step-by-step explanation:

The original formula is

F = GM₁M₂/r²

Rearrange it so M₁ is isolated:

Fr²=GM₁M₂

M₁=Fr²/GM₂

Answer:

C

Step-by-step explanation:

c) 238 +C=375

or, C=375-238

or, C=137 answer

Answer:

The answer is C

Step-by-step explanation:

I got it right

Answer:

See solutions below

Step-by-step explanation:

The product of 46 and 23 2/3 is expressed as;

= 46×23 2/3

= 46 × 71/3

= (46×71)/3

= 3266/3

= 1088.67

Given a•b

If a = 5

b = 8

a•b =5•8

a•b = 40

Answer:

It's 13

Step-by-step explanation:

the fifth term is n. do 3*5=15 and then subtract 2 to get 13!

Answer: $187,500

Step-by-step explanation:

Let x = Purchasing price of house.

Given: Down payment = 20% of x

= 0.20x  [20% = 0.20]

The amount financed = Purchasing price - Down payment

= x-0.20x

=(1-0.20)x

= 0.80x

As per given,

[tex]0.80x=150000\\\\\Rightarrow x=\dfrac{150000}{0.8}\\\\\Rightarrow\ x=\dfrac{1500000}{8}\\\\\Rightarrow\ x=187500[/tex]

Hence, the purchase price of the house =$187,500

Subtract the width from the length.

8.5 - 5.95 = 2.55 yards

Answer:

a) Area = 2x^2 + 3x - 2

b) Perimeter = 64x + 28

c) Length = 60 feet and Width = 50 feet

Step-by-step explanation:

The computation is shown below:

Given that

length = 12x + 24 feet

And, the width be 20x - 10 feet

Now as we know that

Area of the rectangle = length × width

= (12x + 24) × (20x - 10)

= 12x (20x -10) + 24(20x - 10)

= 240x^2 - 120x + 480x - 240

= 240x^2 + 360x - 240

= 2x^2 + 3x - 2

Now for perimeter

As we know that

Perimeter of the rectangle = 2(Length + width)

= 2(12x + 24 + 20x - 10)

= 2(32x + 14)

= 64x + 28

In the case when the perimeter is 220

So,

220 = 64x + 28

64x = 220 - 28

64x = 192

x = 3

Now length is 12(3) + 24

= 36 + 24

= 60 feet

And, the width is

= 20(3) - 10

= 60 - 10

= 50 feet

Answer:

64

Step-by-step explanation:

Answer:

Angle GHI measures 56º, and angle JKL measures 34º.

Step-by-step explanation:

Complementary Angles:

If two angles are complementary, the sum of their measures is 90º.

∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.

Since they are complementary:

[tex]5x + 6 + 3x + 4 = 90[/tex]

[tex]8x + 10 = 90[/tex]

[tex]8x = 90 - 10[/tex]

[tex]8x = 80[/tex]

[tex]x = \frac{80}{8}[/tex]

[tex]x = 10[/tex]

Measures:

GHI: 5*10 + 6 = 50 + 6 = 56º

JKL: 3*10 + 4 = 30 + 4 = 34º.

Angle GHI measures 56º, and angle JKL measures 34º.

The measures of the two angles are 56 and 34 degrees

The sum of complementary angles is 90degrees

Given the measurement:

Taking the sum and equating to 90 degrees

5x + 6 + 3x + 4 = 90

8x + 10 = 90

8x = 90 - 10

8x = 80

x = 10

∠GHI = 5(10) + 6

∠GHI = 56 degrees

∠JKL = 90 - 56

∠JKL = 34degrees

Hence the measures of the two angles are 56 and 34 degrees

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