Pump A can fill a tank in 8 hours. Pump B can fill the tank in 6 hours. How long will it

take to fill the tank using both pumps? Round answers to the nearest tenth if

necessary.

Answer:

10.19%

Step-by-step explanation:

1 gallon = 3.785 liters

350 gallons = 350 × 3.785 liters = 1324.75 liters

percent = part/whole × 100%

percent = 135 liters / 1324.75 liters × 100%

percent = 10.19%

Assuming it is a square

12*12=144

144 inches^2

Answer:

10 gallons is still in the tank.

Step-by-step explanation:

We have to calculate 5/8 of 16.

(5/8)*16 = 10.

Answer:

5 1/4 cups

Step-by-step explanation:

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

Answer:

The ratio would be 8:5.99 or 8/5.99

Answer: < or >

Step-by-step explanation:

The domain of the function above is [-2, 3].

The range of the function above is [-2.5, 2].

The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].

The intervals over which the function is decreasing is [1.5, -2.5].

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this rational expression (function)   shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-2, 3] or -2 ≤ x ≤ 3.

Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.

Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].

In conclusion, the given function is not constant over any interval.

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The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

Given that:

Endpoints of diameter, (13, -1) and (15, 9)

The equation of the circle when endpoints of diameter are given is written as,

(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0

The equation of the circle is calculated as,

(x - 13)(x - 15) + (y + 1)(y - 9) = 0

x² - 28x + 195 + y² - 8y - 9 = 0

x² + y² - 28x - 8y + 186 = 0

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

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The second runner ran 6 kilometers.

A kilometer is a unit of length that's equal to 1,000 meters. So we can say that 1 kilometer = 1,000 meters.

A quarter of 1,000 is 250, so 250 meters is equal to a quarter of a kilometer. And 750 meters would be equal to three-quarters of a kilometer.

The first runner ran 16 laps, and since each lap is a quarter of a kilometer, the first runner ran 16 * 1/4 = 4 kilometers.

The second runner ran 8 more laps than the first runner, so the second runner ran 16 + 8 = 24 laps.

Since each lap is a quarter of a kilometer, the second runner ran 24 * 1/4 = 6 kilometers.

Therefore, the second runner ran 6 kilometers.

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The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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Answer:

y = (x + 16)/2

Step-by-step explanation:

y = (x - 6)2 - 4              Switch the x and y variables

x = (y - 6)2 - 4               Solve the (y - 6)2

x = 2y - 12 - 4                Combine like terms

x = 2y - 16                     Isolate the y variable

x + 16 = 2y

y = (x + 16)/2   <----- This is your answer

Hope this helps!

The statement "C = πr²" is FALSE about the circumference of a circle.

The circumference of a circle is the distance around the outside of the circle. It can be calculated using the formula:

C = πd or C = 2πr

where C is the circumference, d is the diameter of the circle, and r is the radius of the circle. The value of π (pi) is approximately 3.14159.

For example, if the diameter of a circle is 10 centimeters, its circumference would be:

C = πd = 3.14159 x 10 = 31.4159 centimeters.

If the radius of the same circle is 5 centimeters, the circumference would be:

C = 2πr = 2 x 3.14159 x 5 = 31.4159 centimeters.

The formula "C = πr²" is actually the formula for the area of a circle.

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Answer: 21x + 3

Step-by-step explanation:

First Distribute 3 with 7x.

3 x 7x = 21x

Then Distribute 3 with 1

3 x 1 = 3

Then add the operation:

21x + 3

Answer:

slope = - \(\frac{1}{3}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 7, 3 ) and (x₂, y₂ ) = (- 4, 2 )

m = \(\frac{2-3}{-4-(-7)}\) = \(\frac{-1}{-4+7}\) = - \(\frac{1}{3}\)

The slope of the line that contains the points (-7, 3) and (-4, 2) is calculated using the formula for slope. The result of the calculation is negative one third.

The slope of a line is calculated by finding the change in y-values divided by the change in x-values between two points on the line. This is often described as 'rise over run'. For the points (-7, 3) and (-4, 2) given in the question, we can use the formula for slope which is (y2 - y1) / (x2 - x1).

Substituting the given coordinates into the formula, we would get the following: (2 - 3) / (-4 - (-7)) = -1 / 3 = negative one third.

Therefore, the slope of the line that contains the points (-7, 3) and (-4, 2) is negative one third.

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Answer:

26 degrees is the difference in temperature

Step-by-step explanation:

if it was -14° in the morning it had to warm up 14 degrees to get to 0°, so that’s a difference of 14.

from 0° to 12° it warmed up 12 degrees so that’s a difference of 12

14+12=26, so 26° difference in temperature from the morning to noon

9514 1404 393

Answer:

  C. 78°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  (7x-6)° +(4x+11)° +43° = 180°

  11x +48 = 180 . . . . . divide by °, simplify

  11x = 132 . . . . . . . subtract 48

  x = 12 . . . . . . . divide by 11

Then the measure of angle T is ...

  ∠T = (7x -6)° = (7(12) -6)°

  ∠T = 78°

Answer:

To compare the two job offers, we need to calculate the total value of each offer after four years. Let's start with the first offer:

- Yearly salary: $57,000

- 401k matching: 6% of salary, so $3,420 per year

- Total yearly income: $57,000 + $3,420 = $60,420

- Total 401k contribution after 4 years: $3,420 x 4 = $13,680

- Total gross income after 4 years: $60,420 x 4 = $241,680

- Total value after 4 years (including 401k contributions): $241,680 + $13,680 = $255,360

Now let's do the same calculation for the second offer:

- Yearly salary: $63,000

- 401k matching: 5% of salary, so $3,150 per year

- Total yearly income: $63,000 + $3,150 = $66,150

- Total 401k contribution after 4 years: $3,150 x 4 = $12,600

- Total gross income after 4 years: $66,150 x 4 = $264,600

- Total value after 4 years (including 401k contributions): $264,600 + $12,600 = $277,200

Therefore, the second job offer has a better overall pay structure by $21,840 ($277,200 - $255,360).

You have to determine wich consecutive numbers can be added to give 15 as a result. (Whole numbers)

a.

Let x be the first number and x+1 be the consecutive number.

If you add them the result should be 15:

The first number is 7 and the consecutive number is x+1=7+1=8

So the first consecutive numbers that add up to 15 are

b. Now you have to find 3 consecutive numbers that add up to 15.

Let "x" be the smaller number, the next number will be "x+1" and the third number will be "x+2"

Add them up:

The first number is x=4, then the next number is x+1=4+1=5, and the third one will be x+2=4+2=6.

The three consecutive numbers that add up to 15 are:

c. Finally you have to find 5 consecutive numbers that add up to 15. Following the same method as before, the first number will be represented by "x", then the following numbers will be "x+1", "x+2", "x+3" and "x+4"

The 5 consecutive numbers that add up to 15 are

Answer:

B

Step-by-step explanation:

Claude owns a store. Every year, he pays corporate tax. Option B is correct.

Claude owns a store. Every year, he pays _____.
Black space to be filled from the following option,
A. sales tax B. corporate tax C. marginal tax D. personal property tax

A corporate tax is a tax levied on the net gain of an enterprise that is taxed at the commodity level in a particular mark. Net gain for corporate tax is commonly the financial statement of net gain with transformations and may be defined in detail in the tax system of each country.

Since the store owner mostly pays the corporate tax besides there, sales tax is paid by the company owners, marginal tax is also paid by the production companies, and personal property tax is paid by any person.

Thus, Claude owns a store. Every year, he pays corporate tax. Option B is correct.

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he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Answer:

Step-by-step explanation:

4 1/3 x 1/2 = 8 5/6.

1/2 of 4 is 2 so, 4 x 2=8

1/3 is an odd number, so we make it a common denominator.

2/6 is our common denominator, so 1/2 x 2/6 is, 5/6.

4 1/3 x 1/2 is 8 5/6.

Answer:

Solution

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f(x)=∣x−2∣+∣x−3∣

x<2 f(x)=2−x+3−x

=5−2x

2≤x<3 f(x)=x−2+3−x

=1

x≥3 f(x)=x−2+x−3

=2x−5

f(x)=

⎩

⎪

⎪

⎨

⎪

⎪

⎧

5−2x

1

2x−5

x<2

2≤x<3

x≥3

The estimated sum of 7 83/84 is 8 to the nearest whole number.

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

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The two integers are equal to 1 and 7 respectively.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let x represent the smaller number. Then the given relationships say ...

1/x + 2/(x+6) = 9/7

Multiplying by 7x(x+6), we have ...

7(x+6) +14x = 9x(x+6)

9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides

9x² +33x = 42 . . . . . . . . ...subtract 21x

3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3

(3x +14)(x -1) = 0 . . . . . . . . factor

Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.

Therefore, the two integers are equal to 1 and 7 respectively.

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Answer:

-2m+2p

Step-by-step explanation:

You gotta combine like terms.

(m+−m)+(−n+−n)+(p+p)

I actually got -2n+2p

But its not on there so -2m+2p is the closest.

Answer:

i believe you are correct

Step-by-step explanation:

lmk if this helps :)