The water level of a lake fell by 1 1/2 inches during a 1 2/3-week-long dry spell. Find the average rate at which the water level changed every week.

Answers

Answer 1

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.

Answer 2

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.

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Related Questions



If x = 35°, which two lines can be proven parallel?
A) n and d
B) I and m
C) m and o
D n and o

Answers

Answer:

n and o

Step-by-step explanation:

Because those 35 and x are corresponding angles and they are lying on line n and o.

Hope this helped!

N and o hope this helps

Rewrite as a simplified fraction.
2.37 = ?

Answers

Answer:

[tex]\frac{237}{100}[/tex]

Step-by-step explanation:

Hi there !

2.37 = 237/100

Good luck !

Well 2.37 as a fraction is just 237/100 the only simplified version over that would probably be 2 37/100 since I can’t really write that out I’ll just say the 2 goes next to 37/100.

The figure above shows a cement block of
36 cm x 20 cm x 9 cm with two 10 cm x 8 cm
openings. What is the weight of the cement block
to the nearest gram? (The density of cement is
1.7 gram/cm
cm)
A) 5,040
B) 6,048
C) 7,560
D) 8,568

Answers

Answer:

D)  8,568

Step-by-step explanation:

weight = (volume of block - volume of slots) x density of block

           = (30 * 20 * 9) - (2 x (10 * 8 * 9)) x 1.7

            = (5400 - 1440) x 1.7

           = 8,568

Volume is a three-dimensional scalar quantity. The correct option is D, 8568 grams.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the complete block is,

Volume = 36 cm x 20 cm x 9 cm = 6480 cm³

The volume of the opening is,

Volume of the opening = 2 × 10 cm x 8 cm × 9cm = 1440 cm³

Therefore, the weight of the cement block to the nearest gram is,

Weight = (6480 -1440)cm³ × 1.7 gram/cm³

            = 8568 grams

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please help , I'm very confused on this topic
and its 40 points just help and they are yours

Answers

Answer:

RHS

Step-by-step explanation:

It is given that XY is the perpendicular bisector of WZ. This means that it forms 90-degree angles at Y. (angle XYZ and angle XYW are 90 degrees). (R)

Since there is a right angle at Y, XZ and XW are the hypotenuses. (H)

There is a common line between triangle XYZ and XYW and that is XY. (S)

Therefore you can prove ΔXYZ ≅ΔXYW because of RHS

if a translation take triangle CAT to C’A’T’, what is A’T’?

Answers

Answer:

Option (1)

Step-by-step explanation:

If a translation takes the triangle CAT to triangle C'A'T', transformation will be the rigid transformation or Isometry.

By the definition of rigid transformation, shape and size of the image and preimage remains the same.

Therefore, length of the sides of ΔC'A'T' will remain same as ΔCAT after the translation.

Option (1) √10 will be the answer.

Answer:

√10 (option 1) is the answer.   (FLVS)

Step-by-step explanation:

Hope this helps

a) Find the value of 8^1/3
b) Find the value of 8^2/3
c) Find the value of 16^3/4​

Answers

The 3 answers are 2,4,8

a. 8 can be written as 2^3== (2^3)^1/3,

would be cancelled and answer is 2

b. (2^3)^(2/3), 3 is cancelled.

2^2= 4

c. 16 can be written as 2^4

(2^4^(3/4), 4 is cancelled,

2^3 = 8

How many nickels have the same value as a quarter?
nickels
A half dollar?
Nickels

Answers

Answer:

5 Nickels = 25 Cent Quarter  

10 Nickels = Half a dollar

PLEASE HELP ME! I WILL MARK YOU BRAINLIEST 36 POINTS AWARDED TO THE PERSON THAT ANSWERS​

Answers

Answer:

Step-by-step explanation:

I got 900000

Answer:

900000

Step-by-step explanation:

10^5 is 100000

100000*5 is 900000

A number n square plus 12 is the same as the
quotient of p and 4.

Answers

Answer:

n² + 12 = p/4

or

n² + 12 = p ÷ 4

Step-by-step explanation:

The number n is squared, and you have to add 12 to complete the equality. So n squared plus 12 will equal p divided by 4.

whats the answer to 5(x−2)+3x−4= 38

Answers

Answer:

x = 6.5

Step-by-step explanation:

5(x−2)+3x−4= 38

5 times x, 5 times -2 =

5x - 10 + 3x - 4 = 38

Combine like terms

5x + 3x = 8x

8x - 10 - 4 = 38

Add 10

8x -10 +10 -4 = 38 +10 =

8x -4 = 48

Add 4

8x -4 +4 = 48 +4

8x = 52

Divide by 8

8x/8 = 52/8 =

x = 6.5

What is an equation of the line that passes through the point (2,-2) and is parallel
to the line 5x – 2y = 4?

Answers

Answer:

y=2.5x-7

Step-by-step explanation:

First, 5x - 2y = 4

   =>      - 2y = 4 - 5x

                 y = 2.5x -2

Since the line we want to know is parallel to the given one,

its slopw would be 2.5 as well

so let the line passes through the point (2,-2) be y=2.5x+a

then 2.5* 2 +a = -2 => a = -7

Final answer: y=2.5x-7  

y=5/2x-7  is equation of the line that passes through the point (2,-2) and is parallel to the line 5x – 2y = 4.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that, a line is passing through (2,-2) and is parallel to  line 5x – 2y = 4.

We need to find the equation of other line.

We need to write the equation of line in slope intercept form.

5x – 2y = 4

-2y=4-5x

2y=5x-4

y=5/2x-2

The slope of line is 5/2

Since the line we want to know is parallel to the given one,

If two lines are parallel then slope of two lines will be parallel.

So the slope of line passing through (2, -2) should be 5/2.

let the line passes through the point (2,-2) be y=5/2x+c

then 5/2(2) +c = -2

c=-2-5

c=-7

Equation of line parallel to 5x-2y=4 is y=5/2x-7  

Hence y=5/2x-7  is equation of the line that passes through the point (2,-2) and is parallel to the line 5x – 2y = 4.

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The United States Air Force has 21 women for every 100 men enlisted. If a
squadron has 700 members, approximately how many of them are women?

Answers

Answer:

147

Step-by-step explanation:

braniest pls

Claire bought 10 chicken wings for $17.00. If Claire spent $5.10, how many chicken wings did she buy?

Answers

3 chicken wings

17 divided by 10 equals 1.7

1.7 multiplied by 3 equals 5.1

132 days to 110.4 days

Answers

382.4 days from 132 days t 110.4 days

4. Classify the number 15.
A. Whole, integer, rational, real
B. Natural, whole, integer, rational, real
C.Integer, rational, real
D. rational, real

Answers

A might be it but don’t quote me

If f(x) = 2x - 3, find f(-2).

Answers

Answer:

f(-2) = -7

Step-by-step explanation:

f(-2) = 2(-2) - 3

f(-2) = -4 -3

f(-2) = -7

Helps me solve this problem please

Answers

i forgot what i put but you can look it up on quizzizz or something

WHATS THE PERIMITER PLS HELP ME

Answers

I believe the answer is c

hurry !!! i’m so confused!

find f(4)

Answers

Answer:

2 multiplyed  + 3.

The graph shows the reciprocal parent function

Answers

I think it would have to be C

The function has no intercepts.

Option C is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The x-intercept is the point on the x-axis when y= 0.

The y-intercept is the point on the y-axis when x= 0.

We see that,

There is no point on the x-axis or y-axis that the graph is touching.

So,

We can say that,

There are no x-intercepts and y-intercepts.

Thus,

The function has no intercepts.

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Tom has at most $100 to go to the movies, if he pays $10 fee plus $5 per visit every time he goes to the movies. Write an inequality to spend this scenario

Answers

$10+$5m ≤ $100
M= amount of time went to the movies

What is the vertical distance between 580ft above sea level and 200ft below sea level. Help

Answers

Answer:

780ft Hope i helped <3

Step-by-step explanation:

Answer:

780 ft

Step-by-step explanation:

you have to think of it as adding the two and not subtracting because they are asking the total distance. The first one is above sea level so it's 580 above sea level. the second one is under sea level so 200 ft under sea level. that means that the total distance if we start from under the sea 200 ft up to the sea level and then another 580 ft to above sea level!

PLEASE HELP MEH WILL ARK BRAINLIST

Answers

Answer:

B, C, D, E, A

Step-by-step explanation:

In order to know you have to get them all to the same form. This means converting all of them to a fraction or decimal. You can convert to whichever you prefer. I will be doing decimals since I find that easiest to understand.

A = 13.5

B = -13.5

C = -3

D = 0

E = 0.135

You can see then that the order is B, C, D, E, A.

can someone pls help i have been stuck on this one for a little while ):

Answers

Answer:

This is not correct

Step-by-step explanation:

on the right side is 3.2 (x-5) this means that it represents 3.2 * (x-5). You have to multiply (according to the distributive property) 3.2 by x and 3.2 by (-5), so you get 3.2x + (3.2*-5) = 3.2x -16

The left side says 3.2x-5, that is clearly not equal to 3.2x-16.

It is impossible to say that there are infinitely many solutions as there are actually no possible solutions. Set the functions equal so it is:

3.2x-5 = 3.2x-16

solve for x by subtracting the 3.2x from the right side and the left side, then add 5 to both sides to isolate the variable with the other terms.

You get 0=11

That is not true.

The slope of the graph is -1. Which statement describes how the slope is related to the burning of a candle?

Answers

Answer: candle burns down 1 cm per hour

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

Emma is saving to buy a video game console that costs $249. She already saved $60 and plans to save $22 per week. After how many weeks will she have saved enough money for the video game console?

Answers

Answer: about 8.6 weeks

Step-by-step explanation:

9+10 answer me fast ​

Answers

Answer:

19

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same?

2
3
4
5

Answers

Answer:

5 months

Step-by-step explanation:

Make the question into an equation where the cost of one gym equal to the cost for the other.

60x = 100 + 40x

x represents how many months

20x = 100

x = 5

It would take 5 months of membership for the costs to be the same.

The answer is 5 months.

How to make a linear equation?

The linear equation is made using the constraints given in the question, examining whether the data is added, subtracted, divided, or multiplied.

How to solve a linear equation?

To solve the linear equation we group the variable on the LHS and then equate it with the constant and this is done by transposing, or using an arithmetic operator on both sides.

The solution to the given problem

Let the number of months taken be 'x'

SO the community fitness takes 60x money for x months

The fitness center where she works takes an amount of 100+40x for x months as registration fees are only charged once.

so equating the equation to find the value of x.

100+40x = 60x

Transposing 40x from LHS to RHS

100=60x-40x

20x = 100

Dividing the equation by 20 on both sides

x = 5

The membership costs will equal in 5 months.

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The football team has a total of 20 jerseys. There are 12 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:

60 percent

Step-by-step explanation:

every 4 jerseys is 20%

I really need help pls!

Answers

Answer:

I think 2 if it is right then follow me

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