Ice on a lake gets thicker as long as the temperature is below freezing. On a certain lake it took 8 days for the ice to reach a thickness of 3 inches. At what rate was the ice growing over these 8 days in inches per day?

Answers

Answer 1

The average rate of growth of the ice can be found by dividing the thickness by the number of days of growth

The growth rate of the ice over the 8 days is 0.375 inches/day

Reason:

The known information on the ice are;

The time it took the ice to reach a thickness of 3 inches = 8 days

Required:

The (average) rate that the ice is growing in c=inches per day

Solution:

[tex]Rate \ of \ growth \ of \ ice= \dfrac{Increase \ in \ thickness}{ Time} = \dfrac{\Delta \ Thickness}{\Delta T}[/tex]

Therefore;

[tex]Rate \ of \ growth \ of \ ice= \dfrac{3 \ inches}{ 8 \ days} = 0.375 \ inches/day[/tex]

The (average) rate of growth of the ice over the 8 days is 0.375 inches per day

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Related Questions

Austin bought 5 pairs of jeans and 2 shirts for $166. Travis bought 3 pairs of jeans and 4 shirts for $164 at the same store. How much did 1 pair of jeans and 1 shirt cost

Answers

Answer:

pair of jeans = 21  

shirt = 30.5

Step-by-step explanation:

Let the cost of each pair of jeans be $ x, and the cost of each shirt be $ y.

Since, cost of each pair of jeans is $ x, the cost of 5 pair of jeans will be $ 5x and cost of 2 shirts will be $ 2x.

Likewise, the cost of each pair of jeans is $ x, so the cost of 3 pair of jeans will be $ 3x and cost of 4 shirts will be $ 4y.

5 pair of jeans and 2 shirts for $166. This means:

            Equation 1:    5x + 2y = 166                                            

3 pair of jeans and 4 shirts for $164. This means:

                               2x + 4y = 164

Dividing both sides by 2, we get:

           Equation 2:      x + 2y = 82                                            

Subtracting Equation 2 from Equation 1, we get:

5x + 2y - (x + 2y) = 166 - 82

5x + 2y - x - 2y = 84

4x = 84

y = 30.5

Using the value of x, in Equation 2, we get:

21 + 2y = 82

2y = 61

y = 30.5

Since, x represents the cost of pair of jeans, the cost of each shirt is $ 16.

y represents the cost of sweater, so the cost of each sweater is $ 33.

Calculate the unit rate for each. Don’t forget the units!

a) Andre DeGrasse runs 100m in 9.91 seconds.

b) Paint costs $48 for 3.8L.

c) Ethan earned $120.25 for working a 6.5h shift.

Answers

Answer:

letter c. po sagot diyan po

Answer:

a) Andre DeGrasse runs 100m in 9.91 seconds.

100 m / 9.91 s = 10.09 m per second

b) Paint costs $48 for 3.8L.

$48 / 3.8 L = $12.63 per L

c) Ethan earned $120.25 for working a 6.5h shift.

$120.25 / 6,5 h = $18.5 per hour

Solve for w.

–1.01 = 1.4(w + 2) − 2.41

I SWEAR TO GOD PLEASE SOME ANSWER

Answers

Answer:

w= -1

Step-by-step explanation:

-1.01 = 1.4(w + 2) - 2.41

add 2.41 to both sides

1.4 = 1.4(w + 2)

divide by 1.4 on both sides

1=w+2

subtract 2 on both sides

-1 =w

A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 13+7.9n and ​10+8.2n, where n is the number of smaller​ boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger​ box? The larger box of cereal has as much cereal as nothing smaller boxes.

Answers

Answer: 10.5 small boxes

Step-by-step explanation:

X= - 3/4Y -5. Please put this in slope intercept.

Answers

y = - 4/3 x - 20/3

Step-by-step explanation:

x = - 3/4 y - 5   Move Terms

3/4 y = - 5 - x   Divide both sides

y = - 20/3 - 4/3 x     Reorder the terms

y = - 4/3 x - 20/3

Hint :- The slope intercept form of the line is [tex] y = mx + c [/tex] , where m is the slope of the line and c is y intercept .

Solution:-

Given equation to us ,

[tex]\implies x = \dfrac{-3}{4}y -5 [/tex]

Multiply both sides by 4 ,

[tex]\implies 4x = -3y -20 [/tex]

Add 20 to both sides ,

[tex]\implies 4x +20 = -3y [/tex]

Divide both the sides by -3 ,

[tex]\implies \dfrac{-4}{3}x-\dfrac{20}{3}= y [/tex]

Flip the equation ,

[tex]\implies y = \dfrac{-4}{3}x-\dfrac{20}{3} [/tex]

Hi everybody, does this dot on the plot I have look correct, please let me know.

Answers

Answer:

no because it's between 4.2 and 4.3, when it should be between 4.1 and 4.2

Step-by-step explanation:

A number less 5 divided by 42

Answers

Answer:

It's 0 because if you do 42~4=10.5 and 42~3=14 and 42~2=21 and 42~1=42 and there all more then 5 but on the other hand 0 is less then 5

Step-by-step explanation:

The curved surfaces area of a right circular cylinder is 264 sq. metres and its volume is 924 cu.metres. The diameter and height of the cylinder is​

Answers

You forgot to include the diameter and height so I can’t answer it

I NEED HELP ASAP PLS!!!!!!

Answers

Answer:

the first one is not equivalent, the second one is equivalent.

Step-by-step explanation:

Jim has a bank account balance of −$15.46. As soon as he realizes this, he deposits $25.50 in the account.

What is Jim's bank account balance after the deposit is made?

Enter your answer in the box.

$

Answers

Answer:

$10.04

Step-by-step explanation:

-15.46+25.50

equals

25.50-15.46

For this problem I got 40.96. Please correct me if I am incorrect, Thank you.

Hello someone help me please

Answers

Answer:

b

Step-by-step explanation:

Read the sentences:

There is evidence that suggested Nero, the Roman Emperor, enjoyed frozen treats and demanded that a constant supply of ice from the mountains be available to him. He wanted to be able to eat the delicious dessert whenever he pleased. He added honey to the top of his dessert regularly.

What words in the text show that the word constant means something that occurs all the time?

a. Available, regularly
b. Demanded, wanted
c. Enjoyed, treats
d. Supply, dessert

Answers

A. This is because c and d don’t make sense. B could mean he didn’t have it but wanted it. A is the only logical answer.

Help me with this math question. Please no links.

Answers

I cant read it, the picture is blurry

Solve the following systems of equations. (a) x+y = 5 x-y = -1

Answers

Answer:

[tex]x + y = 5 ...(1)\\ x - y = - 1 ...(2)\\ add \: (1) + (2) \\ 2x = 4 \\ x = 2 \\ sub \: x = 2 \: in \: (1) \\ 2 + y = 5 \\ y = 3[/tex]

What are the domain and range of the function

Answers

Answer:

2nd option

Step-by-step explanation:

domain: x<5  (-∞ , 5)

range: (-∞ , ∞)

I need help ASAP!!!!!!!

Answers

Answer:

left side 7 right side 9

Step-by-step explanation:

it wont just let me tell you the answer

Find the area of the figure. (Sides meet at right angles.) 3 cm 3 cm # cm и cm 9 cm 4 cm 9 cm 10 cm​

Answers

Answer:

114cm²

Step-by-step explanation:

divide the 'room' into equal boxes..

3cm×4cm= 12cm²

3cm×4cm=12cm²

9cm×10cm=90cm²

12cm+12cm+90cm= 114cm²

total area is 114cm²

Effect on supply of pies when price of pies increase

A.
Movement down the curve

B.
Movement up the curve

C.
Curve shifts left

D.
Curve shifts right

Answers

Answer:c

Step-by-step explanation:i did it

24, 12, 6
Find the 10th term for this geometric sequence

Answers

Answer:

0.0234375

Step-by-step explanation:

You just keep dividing by 2

If I'm wrong, sorry

Answer:

0.046875 aka 3/64

Step-by-step explanation:

In a geometric sequence, each term will be related to the previous term by undergoing either multiplication or division.

In this case, each case is exactly 1/2 of the previous term. 12 is half of 24, and 6 is half of 12. By continuing this sequence, we get

1: 24

2: 12 (24 * 1/2)

3: 6 (12 * 1/2)

4: 3 (6 * 1/2)

5: 3/2 (3 * 1/2)

6: 3/4 (3/2 * 1/2)

7. 3/8 (3/4 * 1/2)

8. 3/16 (3/8 * 1/2)

9. 3/32 (3/16 * 1/2)

10. 3/64 (3/32 * 1/2)

what does x equal using distributive property 1/3(x+6)=1/2(x-3)

Answers

Answer

x=21

Step-by-step explanation:

1/3+2=1/2x-1.5

2/6x+2=3/6x-1.5

-2/6+1.5 =-2/6x+1.5

3.5=1/6x

----- = -----

1/6      1/6

21

Answer:

The person in the comments was correct it is x=21

Step-by-step explanation:

hope this helps you if not please let me know

If y varies directly as x and y = 3 when x = 10, find x when y = 8.

Answers

Answer:

x=26.6 when y=8

Step-by-step explanation:

y=Kx, k=y/x, when y is 3 and x is 10,

k=3/10= 0.3

but when y is 8, x will be given by

x=y/k

x=8/0.3

x=26.6 approximately 27

2x=18−2 Value of x???​

Answers

Answer:

x = 8

Step-by-step explanation:

2x = 18 - 2 , that is

2x = 16 ( divide both sides by 2 )

x = 8

Answer:

[tex]\sf\longmapsto \: x = 8[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 2x = 18 - 2[/tex]

[tex]\sf\longmapsto \: 2x = 16[/tex]

[tex]\sf\longmapsto \: x = \frac{16}{2} [/tex]

[tex]\sf\longmapsto \: x = 8[/tex]

Whoever answers I’ll mark brainliest!

Answers

Answer:

hi

Step-by-step explanation:

i think it is equilaterial triangle

hope it helps :)

3. The ratio of milk water in 55 liters of Adultered milk is 7:4. How much water must be added to make the mixture Ratio of 7:6? a)5 liters b)10 liters c)15 liters

Answers

Answer:

The answer is B 10 L

Step-by-step explanation:

let milk and water in the mixture be 7x and 4x equal 55L

[tex]7x + 4x = 55 \\ 11x = 55 \\ x = 5[/tex]

[tex]7(5) = 35l \: milk \\ 4(5) = 20l \: water[/tex]

let x Liters of water he added so that the ratio is 7:6

[tex] \frac{35l \: milk}{20l \: water + x} = \frac{7}{6} [/tex]

cross multiply

[tex]35l \: milk \times 6 = (20l \: water + x)7 \\ 210l \: m= 140l \: w + 7x \\ 210l \: m - 140l \: w = 7x \\ 70l = 7x \\ \frac{70}{7} = \frac{7x}{7 } \\ x = 10 l \: water[/tex]

PLEASE HELP!!!!!
will mark brainliest!!!!!

Answers

Answer:

Table:

1: f(x) = 5

2: f(x)= 6

5: f(x) = 9

Points: (1,5), (2,6), and (5,9)

Step-by-step explanation:

1. The function f(x) = x + 4 means that 4 is added to the input, x, to get the output, y.

[tex]f(x) = 1 + 4 = 5[/tex] [tex]f(x) = 2 + 4 = 6[/tex] [tex]f(x) = 5 + 4 = 9[/tex]  

Therefore, when x = 1 then f(x) = 5, x = 2 then f(x) = 6, and x = 5 then f(x) = 9.

2. Now, to find the points, we must know that x is the x-coordinate and f(x) is the y-coordinate of the point. Because of this, the points are:

[tex](1,5)[/tex] [tex](2,6)[/tex] [tex](5,9)[/tex]

Therefore, the points are (1,5), (2,6), and (5,9).

find the total surface area of this cylinder height=18 diameter=24

Answers

Answer:

2261.94671

Step-by-step explanation:

Answer:

A≈2261.95

Step-by-step explanation:

[tex]A=2\pi \frac{d}{2} h+2\pi( \frac{d}{2}) ^2=2[/tex] ·[tex]\pi[/tex]·[tex]\frac{24}{2}[/tex]·[tex]18+2[/tex]· =[tex]2261.94671[/tex]

What is the product?
(2x - 3)(4x + 5)
A. 8x^2 - 15
B. 6x + 2
C. 8x^2 - 2x - 15
D. 8x^2 - 2x + 15

Answers

Answer:

C

Step-by-step explanation:

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

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

=8x^2+10x-12x-15

=8x^2-2x-15

(2x-3)(4x+5)
2x(4x+5)-3(4x+5)
8x^2 + 10x - 3(4x+5)
8x^2 + 10x - 12x - 15
8x^2 - 2x - 15

Find the perimeter of the triangle whose vertices are (−4,4), (−4,1), and (−8,−4). Write the exact answer. Do not round.

Answers

Answer:

Step-by-step explanation:

The perimeter of the triangle is [tex]3 + \sqrt{41} + 5\sqrt{5}[/tex] units

How to determine the perimeter?

The coordinates are given as:

(−4,4), (−4,1), and (−8,−4).

Calculate the distance between the vertices using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

So, we have:

[tex]AB = \sqrt{(-4 + 4)^2 + (4-1)^2} = 3[/tex]

[tex]BC = \sqrt{(-4 + 8)^2 + (1+4)^2} = \sqrt{41[/tex]

[tex]AC = \sqrt{(-4 + 8)^2 + (4+4)^2} = \sqrt{80[/tex]

The perimeter is the sum of the side lengths.

So, we have:

[tex]P = 3 + \sqrt{41} + \sqrt{80}[/tex]

Expand

[tex]P = 3 + \sqrt{41} + 4\sqrt{5}[/tex]

Hence, the perimeter of the triangle is [tex]3 + \sqrt{41} + 5\sqrt{5}[/tex] units

Read more about perimeter at:

https://brainly.com/question/24571594

#SPJ6

Will mark as brainlist answer fast


A noun that is referred to by a pronoun is called a(n)



Noun
Antecedent
Adjective
Pronoun

Answers

Answer:

Pronoun

A pronoun is a word used to stand for a noun

Answer:

I believe the answer is antecedent

Step-by-step explanation:

hope this helps bro

expression is equivalent to (f + g)(4)

Answers

Answer:

Answer: The Expression (f + g)(4) is equal to f(4) + g(4).

Step-by-step explanation:

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