The water level in a lake was monitored and was noted to have changed -2 1/3 inches in one year. The next year it was noted to have changed -1 5/6 inches. What was the total change in the water level over the two years?

Answers

Answer 1

Answer:

The total change in water level over the past 2 years is [tex]\displaystyle -4 \frac{1}{6}[/tex].

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Fractions

Proper and Improper

Numbers

Least Common Multiple (LCM)

Step-by-step explanation:

Step 1: Define

Identify

Year 1 water change:  [tex]\displaystyle -2 \frac{1}{3}[/tex]

Year 2 water change:  [tex]\displaystyle -1 \frac{5}{6}[/tex]

Step 2: Find Total Water Change

[Set up] Add yearly water changes:                                                                [tex]\displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}[/tex][Fractions] Convert to improper:                                                                     [tex]\displaystyle \frac{-7}{3} - \frac{11}{6}[/tex][Fraction] Rewrite [LCM]:                                                                                  [tex]\displaystyle \frac{-14}{6} - \frac{11}{6}[/tex][Order of Operations] Subtract:                                                                       [tex]\displaystyle \frac{-25}{6}[/tex][Fraction] Convert to proper:                                                                           [tex]\displaystyle -4 \frac{1}{6}[/tex]

Related Questions

The largest frog in the world is the goliath, It can grow to be 12 inches long. The smallest frog in the world is about 2.5% as log as the goliath. About how long is the smallest frog in the world

Answers

Answer:

0.3 inches

Step-by-step explanation:

2.5% = 0.025

The smallest frog is 12 * 0.025 inches, which is 0.3 inches.


11. Solve 77 +5 - 92 < 18 + 7. Graph the solution.

Answers

I think it must be 87 .

Step-by-step explanation:

Not sure how to explain.

The question is in the picture.

Answers

Answer:

[tex]x^{3r-18}[/tex]

Answer:

[tex]x^{3r-18}[/tex]

Step-by-step explanation:

[tex]\frac{1}{x^{18-2r} } x^{r} =\frac{x^{r} }{x^{18-2r} }[/tex]

[tex]=x^{r-(18-2r)} =x^{r-18+2r}[/tex]

[tex]=x^{3r-18}[/tex]

Hope this helps

Calculate the difference and enter it below. -9-(-10) Answer here​

Answers

Answer:

-9-(-10)

=-9+10

=1

it’s 1 because you pretend that the two negatives signs between rhe parentheses and the 9 and 10 that they’re the plus sign and then you follow the rules which is when signs are different you subtract and 10-9 = 1

4. Prove by mathematical induction that n² +n < 2" whenever n is an integer greater than 4.

Answers

Step-by-step explanation:

n² + n < 2^n

so, let's see what happens, when I increase n by 1

(n+1)² + n + 1 < 2^(n+1) = 2×2^n

n² + 2n + 1 + n + 1 < 2×2^n

n² + 3n + 2 < 2×2^n = 2^n + 2^n

so, we added on the left and on the right side of the inequality sign compared to the original relation :

2n + 2 vs. 2^n

so, once the original relation becomes true (and we see by trying that for n = 1, 2, 3 and 4 it is not, but for n = 5 it becomes true), the next integer follows the original inequality plus the expressions mentioned above.

n² + n + (2n + 2) < 2^n + (2^n)

this inequality will remain true, if

2n + 2 <= 2^n

n + 1 <= 2^(n-1), which is true for n > 2 (and therefore also n > 4), because the "power of" function 2^n progresses much faster than a simple n+1

and therefore this relation remains true for any larger n.

mark is paid $12.45 and hour at his job.he works a shift of 4 hours and 20minutes. how much does john earn for this shift?​

Answers

Answer:

$53.95

Step-by-step explanation:

[Setting up an equation] 12.45x = y

         () x is time worked and y is money made

[Plugging-in time worked] 12.45(4 [tex]\frac{1}{3}[/tex]) = y

[Multiply] 53.95 = y

[Answer] y = $53.95

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

A coordinate plane with a straight line with a positive slope passing through the points, (0, negative 3) and (3, 4). Choose the answer to complete each statement. The slope of the line is . The y-intercept is at . The graph represents the function

Answers

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{4+3}{3}\implies \cfrac{7}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{7}{3}}(x-\stackrel{x_1}{0})[/tex]

we can always find the y-intercept by simply setting x = 0, or namely

[tex]y-(-3)=\cfrac{7}{3}(0-0)\implies y+3=\cfrac{7}{3}(0)\implies y+3=0\implies y=-3 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{y-intercept at}}{(0~~,~-3)}~\hfill[/tex]

Answer:

first one is 7/3

second one is -3

third one is g(x) = 7/3x-3

Step-by-step explanation:

I got it right

50 Points! Please only answer if you know! Thank you.

Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.

Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.

A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)

Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.

Answers

Answer:

See below

Step-by-step explanation:

A) 3x - 9y > 27

x- intercept at y = 0 is:

3x = 27x = 9

y-intercept at x = 0 is:

- 9y = 27y = -3

Connect the two points (9, 0) and (0, -3) with dotted line (because of <) and shade below line (because y < ).

B)  (y-3) ≤ -4/3 (x+7)

Use one point from the equation:

(-7, 3)

Find the second point using the slope - 4/3, add 3 to x and - 4 to y:

x = -7 + 3 = - 4y = 3 - 4 = - 1

Connect these two points (-7, 3) and (-4, -1) with solid line (because of ≤ ).

Shade the area below the line (because y ≤ ).

Can someone check my work and show me where I went wrong?

Answers

Answer:

the part where it's 25 and 183 should be 5400 if you are rounding to the nearest 10 and then multiplying

Answer:

You made a wrong answer in 183 and 25.

It should be 5,400

Step-by-step explanation:

183 round to the nearest ten = 180

25 round to the nearest ten = 30

180 * 30 = 5,400

find the value of -3/8 x 8/15=

Answers

we have -3/8 x 8/15 = -3/8 x 8/ (3x5) = -1/5

ok done. thank to me :>

Savanna have 40 iris blooms last year this year she had 50% more iris blooms how many more iris blooms did savanna have this year

Answers

Answer:

6

Step-by-step explanation:

50% = 0.50
40 x 0.50 = 20
40 + 20 = 60
Savanna has 69 blooms this year.

Happy Thanksgiving!!!!

Have a wonderful day​

Answers

Same to you enjoy your day:)

Find the error(s) and solve the problem correctly. Be sure to explain and show your work. Where did the "wrong answer" come from? sin 52° Answer: sin 52 = .9866

Answers

The error of the evaluation comes from the fact that Sin 52° = 0.7880.

According to the question;

we are required to determine what's wrong with the evaluation..

By evaluation;

Sin 52° when evaluated by means of a scientific calculator or tables gives; 0.7880.

The error can be determined by evaluating; the inverse sine of 0.9866.

Sin-¹ .9866 = 80.6.

Read more;

https://brainly.in/question/14817452

a Rose Garden is formed by joining a rectangle and a semicircle the rectangle is 33 ft long and 26 ft wide. If the gardener wants to build a fence around the garden how many feet of fence are required?​

Answers

First, let's find the area of the rectangle.
We know that the area of a rectangle is the length times width, or
20

32
in this example:
20

32
=
640

So the area of the rectangle is
640
f
t
2
.
You may not know the area of a semicircle, but that's fine

we know the area of a circle, or
π
r
2
.
Since the area of a semicircle is half the area of a circle, we just do the area of the circle divided by
2
:
So the area of a semicircle is
π
r
2
2
.
The question asks for
π
to just be
3.14
, so instead the equation is
A
=
3.14
r
2
2

The picture gives the diameter of the circle.
To find the radius, or
r
, we divide the diameter by
2
:
20
2
=
10

Now we can solve for the area of the semicircle:
3.14
(
10
)
2
2

3.14
(
100
)
2

314
2

157
f
t
2

Now that we now the areas of the rectangle and semicircle, we can add them up to find the area of the rose garden:
640
+
157
=
797
f
t
2

I NEED HELP !!!! PLZ HELP ME UNDERSTAND THIS

Answers

Answer:

Step-by-step explanation:

What is the algebraic expression for the following word phrase: the product of 7 and the difference of x and y?

Answers

Answer:

7(x-y)

Step-by-step explanation:

difference of x and y=x-y

product of 7=7 times the expression

so,

Answer is 7(x-y)

What is the distance between the two points (4,7) and (4, -2)?
a. 5
12.04
b. 9
d. 12.53
C.

Answers

The answer is nine which i think is supposed to be c

Answer:

9 units

Step-by-step explanation:

Given two points:

(4, 7) and (4, - 2)

The distance between them is the difference of y- coordinates since x- coordinates are same:

7 - (- 2) = 7 + 2 = 9

Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.


I’ll choose brainliest

Answers

4. EA ≅ MA

In ΔTAE and ΔTAM,

TE = TM (Given)

∠ETA = ∠MTA (Given)

TA = TA (Common)

∴ ΔTAE ≅ ΔTAM

∴ EA = MA (CPCT)

5. In ΔJUN and ΔJEN,

JU = JE (Given)

NE = NU (Given)

JN = JN (Common)

∴ ΔJUN ≅ ΔJEN (By SSS Criteria)

∴ ∠U = ∠E (CPCT)

Hope it helps you....

Please mark as brainlliest

Simplify 10 over 13

Answers

Answer:

10/13

Step-by-step explanation:

It's already simplified luv

help me plz im desperate

Answers

Answer:

B) y = 2x - 3

Step-by-step explanation:

We can determine which equation the line follows by checking the y-intercepts of each equation. The line passes through the point (0, -3) - this is the y-intercept of the line. The y-intercept in an equation is the single value after the slope. So, for example, in a line y = mx + b, b is the y-intercept.

For A, our y-intercept is (0, 2). For B, our y-intercept is (0, -3). For C, our y-intercept is (0, 3). For D, our y-intercept is (0, -2). So which one matches our line? It would be B, since both have a y-intercept of (0, -3).

So, that's our answer. If you need more help, let me know! :)

Answer: B

Step-by-step explanation:

The slope is 2 as it shown rise (2) over run (1)

Y-intercept is -3

4. SCHOOL LUNCH In 2015, Ed spent $800 buying lunches. In 2017, he spent $300 buying lunches. What was the rate of change from 2015 to 2017?
A. –$250 per year
B. $125 per year
C. –$125 per year
D. $250 per year

Answers

Answer

B

Explanation

Mark Brainliest please

1.79 ÷1.23=

A 1.31
B 1.35
C 1.5
D 1.38​

Answers

Answer:

1.45528455285

Step-by-step explanation:

Round it up to nearest 10. So it's C

The price of an item has risen to $343 today. Yesterday it was $140. Find the percentage increase.

Answers

Answer:

145% increase

Step-by-step explanation:

343 - 140 = 203

203/140 = 1.45

1.45 x 100 = 145

which of the following are perfect cubes 1)3375 2)8000 3)6859​

Answers

Answer:

all are perfect cubes

Step-by-step explanation:

you can just cube root the numbers and bom if it aint decimal its a perfect cube

What is the amplitude and period of the function shown below?

Answers

The features of the sine function in this problem are given as follows:

Amplitude: 2.

Midline: y = -4.

Period: 3 units.

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, we have,

The equation is given as follows:

y = 2sin(2πx/3) - 4.

we have to define the sine function:

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are given as follows:

A: amplitude.

B: the period is 2π/B.

C: phase shift.

D: vertical shift.

The function has a minimum value of -6 and a maximum value of -2, for a difference of 4, hence the amplitude is given as follows:

2A = 4.

A = 2.

Without vertical shift, a function with amplitude of 2 would oscillate between -2 and 2, while this one oscillates between -6 and -2, hence the vertical shift is given as follows:

D = -4.

The shortest distance between repetitions can be given by 2 - (-1) = 3, hence the period is of 3 units and the coefficient B is given as follows:

2π/B = 3

B = 2π/3.

The function is at it's midline at the origin, hence it has no phase shift, and thus the equation is given as follows:

y = 2sin(2πx/3) - 4.

More can be learned about trigonometric functions at brainly.com/question/21558626

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A credit union pays interest of 2% per annum on a certain
savings plan. If $1000 is deposited in such a plan and the
interest is left to accumulate, how much is in the account after 1
year?

Answers

Answer:

$1020

Step-by-step explanation:

1000 ÷ 100 = 10

10 × 2 = 20

$20 is gained per annum.

On a map, the scale is 1 inch = 40 miles. What is the actual distance for 3.25 inches shown on the map?

Answers

Answer:

130 Miles

Step-by-step explanation:

r^2- 3s^2; r= -2, s=3

2 – 3s^² =

Answers

Answer:

-23

-25

Step-by-step explanation:

r² - 3s² → (-2)² - 3(3)²  → 4 - 27  → -23

2 - 3s²  → 2 - 3(3)²  →  2 - 27  → -25

how many prime numbers are multiples of 5 please​

Answers

Answer:

the only number would be 5

Step-by-step explanation:

5 is the first and only prime multiple of 5

There are only ''one'' prime number are multiples of 5.

What is Prime number?

Prime numbers are number that have only two factors, 1 and themselves.

Given that;

The prime numbers multiples of 5.

Now,

The multiples of 5 = 5, 10, 15, 20, 25, ...

But there are only one prime number (that is; 5) which are multiple of 5.

Thus, There are only ''one'' prime number are multiples of 5.

Learn more about the prime number visit:

https://brainly.com/question/145452

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The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 meters per second, what is the distance traveled in 9 seconds?

Answers

Answer:

Step-by-step explanation:

9(4.5) = 40.5 m

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