Water flowed out of a tank at a steady rate. A total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. Which expression determines the quantity of water leaving the tank per hour?

Answer:

3⁷

Step-by-step explanation:

When you multiplying or dividing numbers with exponents, you keep the base the same and specifically with dividing, you subtract the exponents themselves. So, you would be doing 3-(-4), which is 7.

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Actually Welcome to the Concept of the Exponents and power,

Since we know the concept that, any power in denominator of a fraction is shows as negative power when it comes to the Numerator of the fraction,like eg:-

[tex]1 \div ( {5}^{8} ) = {5}^{ - 8} [/tex]

so we apply here same,

also

[tex]1 \div ({5}^{ - 8} ) = {5}^{8} [/tex]

so we get as,

[tex] {3}^{3} \div {3}^{ - 4} = {3}^{3} \times {3}^{4} [/tex]

this is the answer.

Answer:

The garden is 14ft by 8ft.

The width of the walkway needs to be the same around each side of the garden, let's suppose that the width is X.

Then the area of the garden plus the walkway will be:

(14ft + X) by (8ft + X).

And we want that the total area of the garden and the walkway must be equal to 315 ft^2. Then we must solve the equation:

(14ft + X)*(8ft + X) = 315ft^2

Let's solve this for X.

112ft^2 + 14ft*X + 8ft*X + X^2 = 315ft^2

Let's move al the terms to the same side:

X^2 + (14ft + 8ft)*X + 112ft^2 - 315ft^2 = 0

X^2 + 22ft*X - 203ft^2 = 0.

Now to solve this we can use Bhaskara's equation:

[tex]X = \frac{-22ft +- \sqrt{(22ft)^2 - 4*1*(203ft^)} }{2} = \frac{-22ft +-36ft}{2}[/tex]

Then we have two solutions:

X = (-22ft - 36ft)/2 = -29ft

This solution is negative, and X represents a width, so must be positive, then we can discard this solution.

X = (-22ft + 36ft)/2 = 7ft

Then we can conclude that the width of the walkway must be 7ft.

Answer:

the fraction and its decimal equivalent for the mark on the ruler

= 59/64 = 0.921875

Step-by-step explanation:

Given that;

A CARPENTER 's ruler is marked in thirty  seconds

mark on the ruler between 29/32 and 30/32​ is the average of the values

we know that average is the summation of all terms divided by the number of appearance of terms

so

= (29/32 + 30/32​) / 2

= ((29 + 30) / 32) / 2

= (59 / 32) / 2

= 59 / 64

= 0.921875

therefore the fraction and its decimal equivalent for the mark on the ruler = 59/64 = 0.921875

Answer: −2x+y=−11

(4,-3) = −2x+y=−11.

Answer: −2x+y=−11.

Answer:

x intercept is (1/2, 0).

y intercept = (0, -1/3)

Step-by-step explanation:

2/3x - 1/3 = 0

2/3x = 1/3

x = 1/3 * 3/2

x = 1/2.

y =  2/3(0) - 1/3 = -1/3.

Answer:

Decision rule  is  

Fail to reject the null hypothesis

 The conclusion is  

There is sufficient evidence that indicate that there is a significant difference between the two treatments

Step-by-step explanation:

From the question we are told that  

    The sample size is  n =  12

    The first  mean is  [tex]M_1  =  55[/tex]

    The variance is  [tex]s^2_1 =  8[/tex]

    The second mean is  [tex]M_2  =  52[/tex]

     The second variance is [tex]s^2_2 =  4[/tex]

Let the level of significance be  [tex]\alpha  =  0.05[/tex]

The null hypothesis is  [tex]H_o  :  M_1 = M_2[/tex]

The alternative hypothesis is [tex]H_a  :  M_1 \ne M_2[/tex]

  Generally the test statistics is mathematically

     [tex]t = \frac{M_1 - M_2 }{ \sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}} }[/tex]

=>   [tex]t = \frac{55 - 52 }{ \sqrt{\frac{8}{12} +\frac{4}{12 }} }[/tex]

=>   [tex]t = 1.1619 [/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = 12 -1[/tex]

=>    [tex]df = 11 [/tex]

Generally  from the t- distriibution table the critical  value  of  [tex]\alpha[/tex] at a degree of freedom of [tex]df = 11 [/tex]  is

    [tex]t_{0.05 , 11} =  2.20098516[/tex]

Here given that the critical value is greater than the t statistics value the

Decision rule  is  

Fail to reject the null hypothesis

 The conclusion is  

There is sufficient evidence that indicate that there is a significant difference between the two treatments

Answer:

11,772

Step-by-step explanation:

Just trying to earn points don't know if nessesarily right! just beggined few days ago

Answer:

I will study and make sure that I'm not missing any assignments. I will try and do my best even when I dont understand. I will ask you for help if I need it. I will do my best. I will be the best student I can be. I will go to tutoring.

Step-by-step explanation:

Make sure that it sounds like you talking so she does not get suspicious

Answer: Pay more attention

Step-by-step explanation: Focus more and study more than the average human which is 1-2 hours per day, i would recommend either 3-5 every day INCLUDING WEEKENDS.

Answer:

130 offices are in the building

Step-by-step explanation:

first 39/x = 30/100

secondly, you cross multiply 39 x 100 and 30 x x

100 x 39= 3900

3900/30 = 130

Answer:

ANS. = 130

30% or 30/100=39offices

use cross multiplication

100/30 x 39/1 (note 30/100 is inversed to 100/30) math. law

10/3 x 39/1 (using divisor 10)

10/1 x 13/1 (using divisor 3)

10 x 13 = 130

Ans = 130 offices

Ans.Checked

30% of 130 offices

30/100 x 130/1

3/10 x 130/1 (10 as divisor)

3/1 x 13/1 (10 as divisor)

3 x 13 = 39

39 offices

Q.E.D

Answer:

b = 13

Step-by-step explanation:

Divide 143 by 11

Answer: The product of two consecutive even numbers is 12 more than the square of the smaller number. The product of the numbers is 6 and 8 is 48. Square of the smaller number (here 6) is 36. so, 12 + 36 = 48.

hope this helps:)

Step-by-step explanation:

Answer:

250 < x < 370

Step-by-step explanation:

From the given bicycle prices, we first calculate the mean.

Mean = ⅛($350 + $450 + $180 + $200 + $290 + $325 + $240 + $445)

Mean = ⅛(2480)

Mean = $310

Next, is to determine the amount willing to pay using.

Amount = Mean ± Absolute Deviation

Amount = $310 ± $60

This can split as follows

Amount = $310 + $60 or Amount = $310 - $60

Amount = $370 or $250

Represent as an inequality, we have:

250 < x < 370

Answer:

28 in grams=793.787 and 28 in kilo =0.793787

Step-by-step explanation:

Answer:

10% of the answer should be 6

Step-by-step explanation:

Answer:

c = 4

Step-by-step explanation:

Solve for"c" in the following equation:

- 8 c + 7 = - 25

Subtract 7 from both sides:

- 8 c = - 25 - 7

combine like terms

- 8 c = -32

divide both sides by "-8" to isolate c on the left

c = - 32 / (-8)

c = 4

Answer:

answer is 24 hope this helps! :)

Answer:

904

Step-by-step explanation:

8 x 113 = 904

Answer:

x=-7

Step-by-step explanation:

4(1-x)+2x=-3(x+1)

4-4x+2x=-3x-3

4-2x=-3x-3

-2x=-3x-7

x=-7

Answer:

which one equals 12? option C

Step-by-step explanation:

Answer:

8.80 dollars

Step-by-step explanation:

Answer: The answer is 388$

Step-by-step explanation:

First we need to know our domain and range. our domain is POUNDS and range is TOTAL COST of the delivery AND briskit. Next, we need to find how much the briskit cost by itself. The brisket is 38 pounds.  So to do this, we use need to subtract; y - x = briskit cost. It would look like this if you plug in the units:

304 - 38=266

Now we are going to find how much EACH POUND COSTS. To do this, all we have to do is divide the briskit cost and how much the briskit weighs:

266/38=7

Now that we know how much the briskit cost and how much each briskit weighs, we are going to use the formula y=mx+b so that we can plug in 50 pounds for our x. It would look like this if you plug in the units:

y= 7x+ 38

y= 7(50) + 38= 388$

*Don't forget the dollar sign :) *

Answer:

1

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

a - b + c

a = 4

b = 2

c = -1

Step 2: Solve

Answer:

24 meters

Step-by-step explanation:

The equation for the area of a triangle is A=1/2BxH where B is the base and H is the height. You are given the area and the height so you need to plug those values into the equation and solve.

120=1/2Bx10

240=Bx10

24=B

Given that,

A supply of foods last for a week for 20 families.

It is required to find the time that  would the supply last for 3 more families.

20 families = 1 week = 7 days

If 3 more families joined, total no of families are now 23.

It means that,

1 family= (20/7) days

Now,

23 family =

[tex]\dfrac{20}{7}\times 23=65.71\ \text{days}\\\\\approx 66\ \text{days}[/tex]

So, the supply will last for 66 days.

Answer:

b

Step-by-step explanation: