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Answer: The average rate at which the water level changed every week = [tex]-\dfrac35[/tex] inches per week.

Step-by-step explanation:

Given: Change in water level in [tex]1 \dfrac23[/tex]  week = [tex]-1\dfrac12[/tex] inches = [tex]-\dfrac32[/tex] icnhes

To find : The average rate at which the water level changed every week.

i.e. Change in water level per week.

As [tex]1\dfrac23 = \dfrac52[/tex]

Change in water level in 1 week = [tex]-\dfrac{3}{2}\div\dfrac52 = -\dfrac32\times \dfrac25= -\dfrac35[/tex]

Hence, the average rate at which the water level changed every week = [tex]-\dfrac35[/tex] inches per week.

We want to find the average rate of change at which the water level changed in a given time period.

We will find that the average rate of change is:

[tex]r = - 0.9 in/week[/tex]

We define the average rate of change as the quotient between the total change and the time it takes.

Here we have:

total change = -(1 + 1/2) in

Time = (1 + 2/3) weeks

Then the average rate of change is:

[tex]r = \frac{-(1 + 1/2) in}{(1 + 2/3) weeks} = - 0.9 in/week[/tex]

This means that the water level decreases, in average, 0.9 inches per week.

If you want to learn more, you can read:

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Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/4-(28/1)=0

Step by step solution :

STEP

1

:

28

Simplify ——

1

Equation at the end of step

1

:

x

— - 28 = 0

4

STEP

2

:

x

Simplify —

4

Equation at the end of step

2

:

x

— - 28 = 0

4

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

28 28 • 4

28 = —— = ——————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (28 • 4) x - 112

———————————— = ———————

4 4

Equation at the end of step

3

:

x - 112

——————— = 0

4

STEP

4

:

When a fraction equals zero

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-112

————— • 4 = 0 • 4

4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-112 = 0

Solving a Single Variable Equation:

4.2 Solve : x-112 = 0

Add 112 to both sides of the equation :

x = 112

One solution was found :

x = 112

Step-by-step explanation:

make me as brain liest

Answer:

6

Step-by-step explanation:

im pretty sure im right

Answer:

x = 16

Step-by-step explanation:

3(x-4)=36

First we will distribute:

3x - 12 = 36

Add 12 to both sides:

3x = 48

Divide both sides by the coefficient:

x = 16

Check your work:

3 (x - 4) = 36

3 (16 - 4) = 36

3 (12) = 36

36 = 36

Final answer:

x = 16

Answer:

a torus is a surface revolution generated by a circle in three dimentional space about an axis that is coplanar with the circle

Step-by-step explanation:

i searched it

Answer:

x = - 2√2

x = -2

Step-by-step explanation:

A . 5 + x² = 2 x² +13

    5 + x² - 2 x² - 13 = 0

      - x² -8 = 0

      - x² = 8

         x² = -8

         x = - √8

          x = - 2√2

B . 5 + x³ = 2 x³ + 13

    5 + x³- 2 x³ - 13 = 0

       - x³ -8 = 0

        -x³ = 8

         x³ = -8

      x = - ∛8

         x = -2

Answer:

x = 3 and x = -2/7

Step-by-step explanation:

you can multiple -6 by 7 = -42

and then find what adds into -19 but can multiply together to get -42.

In this case (x-21)(x+2) would work

then you have to divide out your 7 from both numbers,

(x-21/7)(x+2/7)

then you have to make them equal to zero

x-21/7 = 0                =   x = 21/7 = 3

x+2/7 = 0                 =   x = -2/7

so your final answer is x = 3 and x = -2/7

Answer:

x=7

Step-by-step explanation:

subtract 5 from both sides

5-12= 7

so x=7

Answer:

7 mpg/year, 1

Step-by-step explanation:

Answer:

4 callers

Step-by-step explanation:

Because 10 is a factor of 30, we don't have to worry about it. Every 30th caller will get both rewards. 120/30=4 so the answer is 4.

Answer:

14/25

Step-by-step explanation:

7/10 x 4/5

28/50

14/25

Answer:

w=12

Step-by-step explanation:

put it like this

x=x

x=2y

x=4z

x=8w                         Now, x=8w, y=4w because there are 2 y's and 8/2 is 4, same thing goes with z so z=2w and w=w.

8+4+2+1=15             180/15=12

Answer:

12 * 27 =  

✔ -324

8 +  

5

3

 * 0.4 −  (  

2

3

 − 3.2 )  =  

✔ 11.2

Step-by-step explanation:

Evaluating expressions involve solving and simplifying the expression

The expressions are given as:

[tex]\mathbf{(a)\ -12 - 27}[/tex]

[tex]\mathbf{(b)\ 8 + 53 * 0.4 - ( 23-3.2)}[/tex]

[tex]\mathbf{(a)\ -12 - 27}[/tex]

Subtract 27 from -12

[tex]\mathbf{-12 - 27 = -39}[/tex]

Hence, the result of [tex]\mathbf{-12 - 27}[/tex] is -39

[tex]\mathbf{(b)\ 8 + 53 * 0.4 - ( 23-3.2)}[/tex]

Start by evaluating the expression in brackets

[tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 8 + 53 * 0.4 - 19.8}[/tex]

Evaluate the products

[tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 8 + 21.2 - 19.8}[/tex]

Add and subtract

[tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 9.4}[/tex]

Hence, the result of [tex]\mathbf{8 + 53 * 0.4 - ( 23-3.2)}[/tex] is 9.4

Read more about evaluating expressions at:

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Answer:

m = -6

Step-by-step explanation:

-13=m-7

+7      +7

-6=m

Answer:

m=-6

Step-by-step explanation:

What you do is add 7 to both sides of the equation canceling the 7 out leaving you with -13+7 which is equal to -6 so, M=-6

Answer:

The answer is -19.

Step-by-step explanation:

You have to substitute the x = 5 into the function :

[tex]g(x) = - 3x - 4[/tex]

[tex]g(5) = - 3(5) - 4[/tex]

[tex]g(5) = - 15 - 4[/tex]

[tex]g(5) = - 19[/tex]

Answer:

m<7 = 95 degrees

Step-by-step explanation:

Angle 1 = 3x + 10

Angle 4 = 4x-15

Because of the verticle angles theorum, Angle 1 and 4 are congruent.

So:

3x+10 = 4x-15

    +15       +15

3x+25 = 4x

-3x         -3x

25 = x

Angle 1 = 3x + 10

But now we know what x is so now its (3 times 25) + 10 which is 85

Angle 1 and 3 are a linear pair so they are supplementary (add up to 180)

180-85=95

So, Angle 3 is 95 degrees

Because of the corresponding Angles postulate, 7 and 3 are congruent

So m<7 = 95 degrees

Answer:

y= -11x/8  - 45/8

Step-by-step explanation:

Write this equation in slope intercept form:

y= mx + b

11x + 8y = -45

8y= -11-45

y= -11x/8  - 45/8

Hope this helps :)

Answer:

30 miles

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

How to name a ray:

A ray is part of a line. It has an endpoint and contains all points of the line to one side of the endpoint. To name a ray, use two points on the ray. The first one must always be the endpoint. The second point is any other point on the ray. The arrowhead above the two letters always points to the right.

Option B is correct.

Answer:

your answer is 1500 because if you divide $15000 by 100 then you get 1500

Step-by-step explanation:

$15000/100 = 1500

Answer:

65

Step-by-step explanation:

FCJCFHCYJHCJ=09

HYVFYTRYTRYTRYTRYTRHUVF08=887U#]]]]]]]]]]]]]]]]]

X=9

Answer:

7z

Step-by-step explanation:

Answer:

so mean

Step-by-step explanation:

you put you numbers in a line from greatest to least and the one in the middle is your mean or average

The answer is -2.3328

Answer:

(g ￮ f )(x)

Step-by-step explanation:

(g ￮ f )(x) means substitute f(x) into g(x) , that is

g( [tex]\frac{1}{x-2}[/tex] )

= [tex]\frac{1}{x-2}[/tex] + 5

Answer:

(g ￮ f )(x)

Step-by-step explanation:

Answer:

The tomato goes to the last box

The carrot goes to the middle box

The broccoli goes to the first box

Step-by-step explanation: