a bathtub is filled with 38 1/3 gallons of water. if 2 3/5 gallons splash out, how much water is left in the tub?

Answers

Answer 1

Answer:

3/5^3

3/5^3 = 27

125

= 0.216

Step-by-step explanation:

Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e. for five-hundredths enter 5/100. If you are using mixed numbers be sure to leave a single space between the whole number and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.

Because slash is both signs for fraction line and division, we recommended use colon (:) as operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

Colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.

An asterisk * or × is the symbol for multiplication.

Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.

The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

Calculator follows well-known rules for order of operations. Most common mnemonics for remembering this order of operations are:

PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction

BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.

GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.

Be careful, always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

Answer 2

Answer:

[tex]\frac{536}{15}[/tex] or [tex]35\frac{11}{15}[/tex] (they're the same)

Step-by-step explanation:

[tex]38\frac{1}{3} - 2\frac{3}{5} = \frac{536}{15} = 35.7333 = 35\frac{11}{15}[/tex]

Related Questions

Find the four second partial derivatives. Observe that the second mixed partials are equal z=x^2+8xy+3y^2

Answers

Answer:2,8,8,6

Step-by-step explanation:

[tex]f_x=2x+8y\\f_y=8x+6y\\f_{xx}= 2\\f_{xy}= f_{yx}= 8\\f_{yy}=6[/tex]

According to Clairaut's theorem, for most cases, the mixed partial derivatives are equal. In this case, it is.

Of the 13,955,000 Asians age 25 and over in the U.S.,8,107,000have completed at least a bachelors degree. What percentage is this?

Answers

Answer:

Step-by-step explanation:

You just need to divide the number of people with degrees (about 8 million) by the total number of Asians (about 14 million)  and multiply by 100

8107000

========        * 100 = 0.58094 * 100 = 58.094%

13955000  

Which is a very high %

The length of a person's hand compared with the
length of the same person's foot
O line graph
scatter plot
bar graph
histogram
DONE

Answers

Answer:scatter plot

Step-by-step explanation:

Answer:

B) scatter plot

Step-by-step explanation:

edge 2023

List all number sets that apply to 38

Answers

Answer:

Natural numbers whole numbers integers and Rational numbers

What is the sum of the first four composte numbers?

19

20

27

28​

Answers

Answer:

27

Step-by-step explanation:

The first four composite numbers are - 4, 6, 8, 9.

Add these all together and you get 27. Hope it helps!

Answer:

is 19

Step-by-step explanation:

What is the number of terms in 4x+2x^2(3x-5)

Answers

Answer:

12x^2-16x

Step-by-step explanation:

4x+2x^2=4x(3x-5)

4x+4x(3x-5)

( 4x*3x-5)=12x^2-20x

4x+12x^2-20x

4x-20x= -16x

=12x^2-16x

the measure of one angle of a triangle is three times the measure of a second angle. the measure of the third angle is 12 less than the sum of the other two. what are the measures of the 3 angles

PLEASEEEE HELP<333

Answers

Answer:

24, 72, and 84

Step-by-step explanation:

Let the first, second, and third angles be A, B, and C, respectively.

So, first of all, since the figure is a triangle, the three angles must total 180. Thus:

[tex]A+B+C=180[/tex]

Now, we are told that the measure of one angle (let's use A) is 3 times the measure of a second angle (B). So:

[tex]A=3B[/tex]

And the measure of the third angle (C) is 12 less than the sum of the other two (A&B). Therefore:

[tex]C=(A+B)-12[/tex]

For this equation substitute A for 3B:

[tex]C=(3B+B)-12[/tex]

Combine like terms:

[tex]C=4B-12[/tex]

So we have the following equations thus far:

[tex]A+B+C=180[/tex]

[tex]A=3B[/tex]

[tex]C=4B-12[/tex]

So, substitute A and C in for the first equation:

[tex]A+B+C=180\\(3B)+B+(4B-12)=180[/tex]

Combine like terms:

[tex]8B-12=180[/tex]

Add 12 to both sides:

[tex]8B=192[/tex]

Divide by 8:

[tex]B=24[/tex]

So, the second angle B is 24 degrees.

The first angle A is three times B. Thus, A is 3(24)=72 degrees.

And C is 12 less than the sum of them. Thus:

[tex]C=(72+24)-12\\C=96-12\\C=84[/tex]

So, our angles are:

24, 72, and 84

And we are done :)

Edit: Typo

Fill in the missing entries for the following form.
Date
Interest Deposit
Withdrawal
Balance
08-01
$389.42
$
08-01 $2.12
V
08-08
$
$293.59
08-14
$109.16
$
v
08-16
$
$491.52
08-26
$202.27
$

Answers

Answer:

Step-by-step explanation:

389.49 + 2.12=391.54

391.54-97.95= 293.59

293.59+109.16= 402.75

402.75 +88.75=491.52

491.52-202.27= 289.25

hope this helps!

As per linear equation, the missing values are $391.54, $97.95, $402.75,  88.75, $289.25.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1."

Date: 08/01

Balance = $389.49

Interest = $2.12

Balance = $(389.49 + 2.12) = $391.54

Date: 08/08

Balance = $391.54

Withdraw = $97.95

Balance = $(391.54 - 97.95) = $293.59

Date: 08/14

Balance = $293.59

Deposit = $109.16

Balance = $(293.59 + 109.16)= $402.75

Date: 08/16

Balance = $402.75

Deposit = $88.75

Balance = $(402.75 + 88.75) = $491.52

Date: 08/26

Balance = $491.52

Withdraw = $202.27

Balance = $(491.52 - 202.27) = $289.25

Learn more about a linear equation here: https://brainly.com/question/2203023

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A freezer was sold during a clearance sale sale for $387.50. If the freezer was sold at a discount of 50/3%, what was the list price?

Answers

Answer:

$465

Step-by-step explanation:

100 - 50/3 = 250/3

250/3 ÷ 100 = 5/6

$387.50 ÷ 5/6 = $465

What is the end behavior of the polynomial function? Drag the choices into the boxes to correctly describe the end behavior of the function. f(x)=−3x^4−3x^3−8x+2 f(x)=3x^3−8x^2−x+1

Answers

Answer:

f(x) = -3x⁴ - 3x³ - 8x + 2

As x -> ∞, f(x) -> -∞

As x -> -∞, f(x) -> -∞

f(x) = 3x³ - 8x² - x + 1

As x -> ∞, f(x) -> ∞

As x -> -∞, f(x) -> -∞

Step-by-step explanation:

Graph both functions.

End behavior is what happens to the y-values when x-values approach either +∞ or -∞.

Another florist has 16 yellow mums and 40 white carnations. Which question can be answered by finding the GCF of 16 and 40? How many different combinations of yellow mums and white carnations can the florist make? What is the greatest number of identical groups that can be made with a number of mums and carnations in each group? How many total number of flowers will be in each group of mums and carnations? What is the greatest number of white carnations that can be in each group?

Answers

Answer:

B

Step-by-step explanation: I got correct on ed2020!

Hope this helps!~ :>

Answer:

B

Step-by-step explanation:

it's correct

= neage Check Find the distance between the polnts (6,-5) and (-3,-5). ​

Answers

Answer:

The answer is

9 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(6,-5) and (-3,-5)

The distance between them is

[tex]d = \sqrt{ ({6 + 3})^{2} + ( { - 5 + 5})^{2} } \\ = \sqrt{ {9}^{2} + 0 } \\ = \sqrt{81} [/tex]

We have the final answer as

9 units

Hope this helps you

Simplify (5x^2 + 3x + 4) + (2x^2 − 6x + 3).

Answers

Answer:

7x² - 3x + 7

Step-by-step explanation:

Step 1: Write out expression

5x² + 3x + 4 + 2x² - 6x + 3

Step 2: Combine like terms (x²)

7x² + 3x + 4 - 6x + 3

Step 3: Combine like terms (x)

7x² - 3x + 4 + 3

Step 4: Combine like terms (constants)

7x² - 3x + 7

Answer:

[tex]\Large \boxed{7x^2-3x+ 7}[/tex]

Step-by-step explanation:

[tex](5x^2 + 3x + 4) + (2x^2 -6x + 3)[/tex]

Removing brackets.

[tex]5x^2 + 3x + 4 + 2x^2 -6x + 3[/tex]

Grouping like terms.

[tex](5x^2 + 2x^2) + (3x -6x)+ (4 + 3)[/tex]

Combining like terms.

[tex](7x^2) + (-3x)+ (7)[/tex]

A line passes through the point (6, 7) and has a slope of
دیا یہ
3
2
Write an equation in slope-intercept form for this line.

Answers

Answer:

hi

Step-by-step explanation:

hi

Hope you found your answer

On a recent road trip, Johnny was able to drive 360 miles on 12 gallons of gas. a. What is the average gas mileage for Johnny’s car?

Answers

Answer:

1/30 gallon per mile

12/360=1/30

Answer:

Step-by-step explanation:

The answer is 1/30 of a gallon

12/360=1/30

Freida’s credit card has an APR of 13.73%, and it calculates her finance charge by using the daily balance method and a 30-day billing cycle. On September 1st, Freida had a balance of $449.22. During the month of September, she made a payment of $85.33 and a purchase of $60.99. How much greater will her September finance charge be if the purchase occurred on September 7th and the payment occurred on September 20th than it would be if the payment occurred on September 7th and the purchase occurred on September 20th? a. $0.13 b. $0.41 c. $0.72 d. $0.28

Answers

Answer:

$0.72 C

Step-by-step explanation:

ON E2020 THE ANSWER IS CCC

Freida's ffinance charge on credit card if the purchase of $60.99 and payment of $85.33 occured between September 7th and 20th is $0.72 C which is option C.

What is APR 13.73% mean?

The interest on the credit amount for one year on the credit card.

Freida’s credit card has an APR is 13.73%

One month iinterest  0.1373÷12

                                    ⇒0.0115

APR for credit cards is charged on  purchased amount =$60.99

⇒Interest on $60.99 for 00ne month is= $60.99×0.0115  

                                                                   =$0.72

According to the given option:-

a. $0.13

b. $0.41

c. $0.72

d. $0.28

the answer will be option C $0.72.

Learn more about APR here: brainly.com/question/2772156

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Lizbeth runs from 14:40 until 15:30 pm at an
average speed of 7 km/h. How far did she go?

Answers

Answer:

5.83333333333 km

Step-by-step explanation:

14.40 until 15.30 is a total of 20 Minutes to 15:00 and andother 30 Minutes to 15:30 hr, so, she has been running for 50 Minutes.

Now solve for distance when 1 hr (60 min) = 7 km

So, simply (7/60)*50 = 5.83333333333 km

HEEELP ME WITH THIS PROBLEM PLEASEEW
(The problem is in a picture)

Answers

Answer:

x < 6

Step-by-step explanation:

2 x -9 < 3

     +9 .     +9

2x < 3 + 9

2x < 12

__ .   __

2 .     2

x <  6

Determine the Next three terms in the following sequence -1 1/2 -1/4 1/8

Answers

Answer:

-1/16 1/32 -1/64

Step-by-step explanation:

They are dividing by -2 each time; therefore, they multiply (1/4) x (-1/2), (-1/16) x (-1/2), (1/32) x (-1/2) because of the keep change flip rule.

Answer:

-

[tex] - \frac{1}{16} \\ \frac{1}{32} \\ \frac{ - 1}{64} [/tex]

Step-by-step explanation:

It's a geometric sequence with the common ratio r = -1/2

1st: -1

2nd: (-1)x(-1/2) = 1/2

3rd: (1/2) x (-1/2) = -1/4

4th: (-1/4) x (-1/2) = 1/8

so:

5th: (1/8) x (-1/2) = -1/16

6th: (-1/16) x (-1/2) = 1/32

7th: (1/32) x (-1/2) = -1/64

11. The second of two numbers is 5 more than twice the first. The sum of the numbers is 44. Find the numbers by writing and
solving a system of equations.
O A. (11, 33)
O B. (22, 22)
O C. (20, 24)
O D. (17, 22)
O E. (13,31)
O F. (17, 27)
explain too please

Answers

Answer:

E

Step-by-step explanation:

So the equation is y= 5+2x

and x+y=44

So we use the substitution method and says that y=44-x

So 44-x=5+2x

simplify

44-5=3x

x=13

there's only one option with x=13

Answer: E. (13, 31)

Step-by-step explanation:

Let x= first number

Let y= Second number

----------------------------------

y-5=2x

x+y=44

--------------------------------

y=2x+5

x+y=44

----------------------------

x+(2x+5)=44 ⇔ substitute y value in terms of x

x+2x+5=44

3x+5=44

3x=39

x=13

44-13=31

Hope this helps!! :)

Please let me know if you have any question or need further explanation

endent Practice
1. National Geographic is reporting on the migration patterns of Canadian Geese. One of
the birds they are tracking traveled from Ottawa, Canada to Jackson, Mississippi
Part A: What units would be best to describe this situation
Part B: While writing the article for the next edition of National Geographic, the reporter
estimates that this goose flew 2,552,000 yards. How many significant digits does
the reporter's estimate have?
Part C: The Editor in Chief decided that the reporter chose the incorrect units. The editor
wants the reporter to convert the distance to miles. Complete this conversion.
Part D: Your younger brother determined that the distance from Jackson to Tucson
Arizona is 7,159,680 feet. He claims that this is further than the distance to
Ottawa. Is he correctJustify your answer using mathematical evidence.

Answers

Answer:

Part A: The unit that would be best to describes the situations is to the mile

Part B: 4 significant figures

Part C: 1,450 miles

Part D: He is not correct

Step-by-step explanation:

Part A: By unit conversion, we have;

1 mile = 1,760 yards

Given that the distance from Ottawa, Canada to Jackson Mississippi is 2,552,000 yards it would best simplified into miles

Part B: The number of significant digits in the reporters estimate are the non-zero digits before the zeros in the number figure which are 2, 5, 5, and 2 or 4 significant figures

Part C: 2,552,000 yards = 2,552,000 yards/(1,760 yards/mile) = 1,450 miles

Part D: Given that the distance from Jackson to Tucson = 7,159,680 feet, we have;

1 mile = 5,280 feet

Therefore;

7,159,680 feet = 7,159,680 feet/(5,280 feet/mile) = 1,356 miles

Therefore, the claim that the distance from Jackson to Tucson which is 1,356 miles is further than the distance from Ottawa, Canada to Jackson Mississippi which is 1,450 miles is not correct because;

The distance from Jackson to Tucson 1,356 miles [tex]\ngtr[/tex] 1,450 miles which is the distance from Jackson to Ottawa

Is "What is the area of the floor in this classroom?" a statistical question?

Answers

The answer is No

Explanation:

All statistical questions involve collecting numerical data (usually from a group of people) and then analyzing it to draw conclusions about the opinions of people of a certain phenomenon as the data varies depending on the response of each person. This process is not required to determine the area of the floor because this has a unique answer and can simply be found by measuring the height and width of the classroom and then multiplying both numbers. Also, this does not imply gathering a lot of data and the data does not vary.


Gasoline was $2.629 per gallon one week and $2.849 per gallon the next. By how much did the price change?
The price of the gasoline changed by $1.

Answers

$2.849-$2.629 =$ 0.22

if a right cylinder have the same radius and height as the oblique cylinder shown here, what is the volume of the right cylinder? Use 3.14 for pi. Round to the nearest whole number.​

Answers

Answer:

[tex]\displaystyle V_\text{right} \approx 1696\text{ units}^3[/tex]

Step-by-step explanation:

Recall that the volume for an oblique cylinder is the same for the volume of a right cylinder. That is:

[tex]\displaystyle V_\text{right} = V_\text{oblique} = \pi r^2h[/tex]

Hence, find the volume of the oblique cylinder:

[tex]\displaystyle \begin{aligned} V_\text{oblique} & = (3.14)(6)^2(15) \\ \\ & = 1695.6 \text{ units}^3 \\ \\ &\approx 1696\text{ units}^3\end{aligned}[/tex]

Therefore:

[tex]\displaystyle V_\text{right} \approx 1696\text{ units}^3[/tex]

In conclusion, the volume of the right cylinder is about 1696 units³.

The distance that a jogger travels at a constant speed of 6.5 miles per hour can be modeled by the linear function f(x)=6.5x, where x is the time in hours the jogger runs. What is the domain of this function? How would a graph of this function show it?

Answers

domain : [ -infinite , infinite [
graph should be going up diagonally .

The domain of the function f(x) = 6.5x will be a positive real number.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The distance that a jogger travels at a constant speed of 6.5 miles per hour can be modeled by the linear function f(x) = 6.5x, where x is the time in hours the jogger runs.

We know that time is a scalar quantity. Then the value of the time is always greater than equal to zero.

x ≥ 0

The domain of the function f(x) = 6.5x will be a positive real number.

More about the domain and range link is given below.

https://brainly.com/question/12208715

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please help me!!
find the variables!


1) 8x -44= -3x


2) 1w- 9= 4w


3) 5n- 16=1n


4) 8h+ 36=2

Answers

Answer:

Step-by-step explanation:

1. 11x  = 44

   x = 4

2. 3w = -9

   w = -3

3. -4n = -16

    n = 4

4. 6h = 36

    h= 6

Refer to the following distribution:Cost of Textbooks Frequency $25 up to $35 2 S35 up to $45 5$45 up to $55 7$55 up to $65 20 S65 up to $75 16What is the relative class frequency for the $25 up to $35 class? A) 0.10 B) 0.05 C) 0.02 D) 0.04

Answers

Answer:

[tex]Relative\ Frequency = 0.04[/tex]

Step-by-step explanation:

Given

Cost of Textbooks ---- Frequency

$25 up to $35  -----      2

$35 up to $45 -------     5

$45 up to $55  -------    7

$55 up to $65   ------    20

$65 up to $75   ----   -- 16

Required

Determine the relative class frequency for the $25 up to $35 class

First, we need to get the total frequency

[tex]Total = 2 + 5 + 7 + 20 + 16[/tex]

[tex]Total = 50[/tex]

Next, is to write out the frequency of $25 up to $35 class

[tex]Frequency = 2[/tex]

Divide this frequency by the total frequency; This gives the relative frequency

[tex]Relative\ Frequency = \frac{Frequency}{Total}[/tex]

[tex]Relative\ Frequency = \frac{2}{50}[/tex]

[tex]Relative\ Frequency = 0.04[/tex]

Hence;

Option D answers the question

What is [−7,−5)∩[−5,0]?

Answers

Answer:

[−7,−5)∩[−5,0] = [-5]

Step-by-step explanation:

A = A1 ∩ A2 means that A contains the intersected elements (shared elements) of A1 and A2

A student rides his bike to school with an average velocity of 10 miles per hour. It takes him 12 minutes to get to school. Write a function that models the student's distance from home. Use t for time in hours and d for distance. Then identify the domain and range of this situation using interval notation--label each one!

Answers

Answer:

The function is [tex]d=10t[/tex]

domain is 0 to 0.2 hour.

range is 0 to 2 miles.

Step-by-step explanation:

Given that,

Average velocity = 10 miles/hour

Time = 12 min = 0.2 hour

We need to write a function that models the student's distance from home

Using formula of distance

[tex]d=v\times t[/tex]

Where, v = velocity

t = time

d = distance

Put the value into the formula

[tex]d=10t[/tex]

This is a function.

We know that,

Domain :

Domain shows the time.

So, domain = 0 to 0.2 hour

Range :

Range shows the distance.

The range at t =0,

Put the value of t in the function

[tex]d = 10\times0=0[/tex]

The range at t =0.2 hour

[tex]d = 10\times0=0[/tex]

[tex]d=2\ miles[/tex]

So. range = 0 to 2 miles

Hence, The function is [tex]d=10t[/tex]

domain is 0 to 0.2 hour

range is 0 to 2 miles

Trig: Solve Quadratic Equations by Factoring help with 3c and 3d

Answers

Answer:

3c) x = 1/4, x = 6

3d) t = 0, t = 4

Step-by-step explanation:

3c).....................................

6x² - 15x + 2 = 2x² + 10x - 44x² -25x + 6 = 04x² - 24x - (x - 6) = 04x(x -6) - (x - 6) = 0(4x - 1)(x - 6) =04x - 1 = 0 ⇒ 4x = 1 ⇒ x = 1/4x - 6 = 0 ⇒ x = 6

==============================

3d).....................................

- 16t² + 76t + 5 = 12t + 5-16t² + 64t = 0t² - 4t = 0t(t - 4) = 0t = 0t - 4 = 0 ⇒ t = 4
Other Questions
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