At the end of a snowstorm, Katherine had 18 inches of snow on her lawn. The temperature then increased and the snow began to melt at a constant rate of 2.5 inches per hour. Assuming no more snow was falling, how much snow would Katherine have on her lawn 4 hours after the snow began to melt? How much snow would Katherine have on her lawn after t hours of snow melting?

Answers

Answer 1

After 4 hours of snow melting, there would be 8 inches of snow with the rate of 2.5 inches per hour Katherine would have on her lawn and after t hours the snow would be = 18 - 2.5*t inches.

In this question, the amount of snow melted is required to calculate to know the amount of snow on the lawn, can be calculated by:

the melted amount = rate of melting × time

Given:

The total amount of snow = 18 inches

Rate of melting = 2.5 inches

Time = 4 hours

Solution:

The amount melted needs to be calculated first in order to find left snow, therefore, putting values in the formula mention above,

the melted amount = rate of melting × time

the melted amount = 2.5 × 4 inches

the melted amount = 10 inches

Then the final amount would have on the lawn =  starting amount−melted snow

=  18−10 inches

= 8 inches

Part b) Snow after t hours:

Starting amount=  18 inches

Melted snow=  inches per hour×t

= 2.5×t

= 2.5t

Final amount = starting amount−melted snow

= 18 -2.5t

Thus, the correct answer is - 8 inches and 18 -2.5t

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Related Questions

14.) Is 136 divisible by 5? yes O​

Answers

Answer:

The answer is no

Step-by-step explanation:

Is because if we divide 136 by 5 is gonna give us 27.2 and we don’t want the decimal. So we can’t divide 136 by 5. Another method is you can you at the last digit in this case is 6, six is not in the table of 5 so always the answer is going to be in decimal. 136[tex]:[/tex]5= 27.2

if your shoe size is out of stock should you size up or down i’m a girl

Answers

Go a half size up and also see if the shoe runs big or small.

WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area of the garden ) step by step​

Answers

Step-by-step explanation:

breadth=x

length is 5m long then breadth

length=x+5

Perimeter=2(length+breadth)

subtitute values in formula:

150=2(x+5+x)

2x+5=150/2

2x+5=75

2x=75-5

2x=70

x=70/2

x=35

breadth=35m

length= x+5

length=35+5

length=40m

S O L U T I O N :

[tex] \text{Let us assume the breadth be } \purple{\frak{a}}[/tex]

The length is 5m more than its breadth

[tex] \text{The length be} \: \green{\frak{a + 5}}[/tex]

Here we need to get both breadth and length by finding out a

[tex] \hookrightarrow \frak{{ \sf P}erimeter_{(Rectangle)} =2 (Length + Breadth)} \\ \\ \hookrightarrow \frak{150 =2 (a + 5 + a)} \\ \\ \hookrightarrow \frak{150=2 (2a + 5)} \\ \\ \hookrightarrow \frak{150=4a + 10} \\ \\ \hookrightarrow \frak{4a = 150 - 10} \\ \\ \hookrightarrow \frak{4a = 140} \\ \\ \hookrightarrow \frak{a = \cancel \frac{140}{4} } \\ \\ \star \quad \underline{\boxed{\frak{ \blue{a = 35}}}}[/tex]

[tex] \bigstar \underline{ \frak{Finding \: them}} : [/tex]

[tex] \qquad\odot \: \: \frak{Length = a + 5 = 35 + 5 = \pink{40m}} \\ \\

\qquad\odot \: \: \frak{Breadth = a= \pink{35m}}[/tex]

Write the slope-intercept form of the equation of the line through the given point with the given slope.
through: (1, 1), slope = 6)
through: (-4, -4), slope = 1/4)
through: (4, 5), slope = 7/4)
through: (-4, -5), slope = 0)
through: (5, 1), slope = -2/5

Answers

Answer:

through: (-4, -5), slope = 0)

Step-by-step explanation:

gd afternoon

have a lovely day

Which company offers the best deals? Explain the answer.

Answers

Answer:

The best deal

Step-by-step explanation:

First of all what company is that?

And what type deal..?

is the expressions (5•2) x equals to the expresion 10x? Explain your answer
Please help mee !

Answers

Answer:

No

Step-by-step explanation:

It would be x(5*2)

Basically what you put just written correctly

Answer:

yes it is 10x

Step-by-step explanation:

you just simply multiply 5 and 2 to get 10 and keep the x and put it next to the 10. Therefore, (5•2) x = 10x

if f (x) = 2x ^2 +5/ (x-2) complete the following statement f(6) =

Answers

f(x)=2x^2+5/x-2

[tex]\\ \rm\longmapsto f(6)=\dfrac{2(6)^2+5}{6-2}[/tex]

[tex]\\ \rm\longmapsto \dfrac{2(36)+5}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{72+5}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{77}{4}[/tex]

when a sum of rupees hundred is divided in the ratio of 2 is to 3 find the share of each part ​

Answers

Answer:

40 and 60

Step-by-step explanation:

Sum of ratio=2+3

sum of ratio=5

Share of part 2=2/5*100

share of part 2=40

Share of part 3=3/5*100

share of part 3=60

Note:if you need to know any question please let me know.

How is the fear of power reflected
in the Articles of Confederation?
(Posted in math bc nobody answers me in history)

Answers

Answer: It mentions how they  fear the authority government, also I believe u meant "Power of fear"

Step-by-step explanation:

48 tablespoons to cups

Answers

Answer:

I'm about to use the lmgtfy card

Answer:

48 us cups = 3 us cups

Plz mrk me brainliest

Use suitable identities to find the following products

(x-5) (x-5)​

Answers

Step-by-step explanation:

[tex](x - 5)(x - 5) \\ {x}^{2} - 5x - 5x + 25 \\ {x}^{2} - 10x + 25[/tex]

I hope it makes sense

:)

Which of the following numbers is a rational
number but not an integer?
A. -4
B. -3.5
c. -2
24
8
D. 25

Answers

Answer:

I think -3.5 is the right answer

f(r)=3.14r2 what is f(7)?

Answers

Hi :)

f(r) = 3.14r2

f(7) = 3.14(7)(2)

f(7) = 43.96

solve: y=3x and x+y=20​

Answers

Answer:

x = 5, y = 15

Step-by-step explanation:

Use substitution to solve the system of equations.

We'll replace y in x + y = 20 with 3x, since y = 3x.

x + 3x = 20

Combine like terms

4x = 20

Divide by 4 on both sides

x = 5

Now to solve for y (don't forget!)

We'll plug x = 5 back into one of the original equations

y = 3(5) = 15

Check first equation:

15 = 3(5)

15 = 15

Check second equation:

5 + 15 = 20

20 = 20

Please help me I’ll give a brainliest! Even if you are only able to do one of them it help because I don’t understand how to do it!!!

Answers

Answer:

The x which is not in the domain of the function is the root of the denominator

6) x+3=0, x=-3 is the x which is not in the domain of the function

7) |2x+5|=0, x=-5/2 is the x which is not in the domain of the function

8) x^2-16=0, x=±4 are the x which are not in the domain of the function

What is the distance between 10 and -4

Answers

Answer:

the answer is 14

Step-by-step explanation:

10 pluss the 4 makes 14

Answer:

The distance between 10 and -4 is 14

Step-by-step explanation:

Because 10 plus 4 is 14 so the answer is 14,Hope it help you.

What is at least 2 metaphors in this passage?

Until this day, how well the house had kept its peace. How carefully it had inquired, "Who goes there? What's the password?" and, getting no answer from lonely foxes and whining cats, it had shud up its windows and drawn shades in an old maidenly preoccupation with self-protection which bordered on a mechanical paranoia. It quivered at each sound, the house did. If a sparrow brushed a window, the shade snapped up. The bird, startled, flew off! No, not even a bird must touch the house! The house was an altar with ten thousand attendants, big, small, servicing, attending, in choirs. But the gods had gone away, and the ritual of the religion continued senselessly, uselessly.

Answers

Answer:

Step-by-step explanation:

it had shud up its windows and drawn shades in an old maidenly preoccupation with self-protection which bordered on a mechanical paranoia.

Put a like before an old maidenly aunt or woman. That makes it a simile. Take the like out and you have a metaphor.

Do the same thing with like in front of an alter. Take out the like and you have a metaphor.

What a grim and yet wonderful passage.

write each expression as a single power of 10​

Answers

Answer:

It is

[tex] {10}^{5} [/tex]

Step-by-step explanation:

[tex] \frac{ {10}^{4}. {10}^{5} . {10}^{6} }{ {10}^{3} . {10}^{7} } = \frac{ {10}^{(4 + 5 + 6)} }{ {10}^{(3 + 7)} } \\ \\ = \frac{ {10}^{15} }{ {10}^{10} } \\ \\ = {10}^{(15 - 10)} \\ = {10}^{5} [/tex]

The greatest of four consecutive whole numbers, the smallest of which is b

Answers

Answer:

38

Step-by-step explanation:

Three consecutive even integers can be represented by x, x+2, x+4.  The sum is 3x+6, which is equal to 108.  Thus, 3x+6=108.  Solving for x yields x=34.  However, the question asks for the largest number, which is x+4 or 38.  Please make sure to answer what the question asks for!

You could have also plugged in the answer choices.  If you plugged in 38 as the largest number, then the previous even integer would be 36 and the next previous even integer 34.  The sum of 34, 36, and 38 yields 108.

PLEASE HELPP!!
Russell decides to make a tile pattern after the first day his pattern has 8 tiles after the fourth day it has 35 tiles how many tiles was pattern have after the fifth day?

Answers

Answer:

44

Step-by-step explanation:

n = pattern number

9n - 1 = number of tiles

Number 5 = 9n - 1

= 5 x 9 - 1

= 45 - 1

= 44

The pattern will have 54 tiles after the fifth day

How to determine how many tiles was pattern have after the fifth day

To determine the pattern, let's find the difference between the number of tiles on consecutive days:

Difference between Day 2 and Day 1: 8 tiles - 0 tiles = 8 tiles

Difference between Day 3 and Day 2: 20 tiles - 8 tiles = 12 tiles

Difference between Day 4 and Day 3: 35 tiles - 20 tiles = 15 tiles

Notice that the difference between the number of tiles on consecutive days is increasing by 4 each time (8, 12, 15).

Now, let's use this difference to find the number of tiles after the fifth day:

Difference between Day 5 and Day 4: 15 tiles + 4 tiles = 19 tiles

Number of tiles after the fourth day: 35 tiles

Number of tiles after the fifth day: 35 tiles + 19 tiles = 54 tiles

So, the pattern will have 54 tiles after the fifth day.

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A quantity with an initial value of 850 grows continuously at a rate of 90% per
decade. What is the value of the quantity after 59 years, to the nearest hundredth?

Answers

Answer:

5400

Step-by-step explanation:

so 90% of 850 is 765 (0.90x850)

765 is 10 years

so 1 year is 765/10 = 76.5 per year. So 76.5x59 = 4,513.5 add the initial ammount and you got 5,363.5 in the nearest hundredth you get 5400

Answer:

171997.69

Step-by-step explanation:

See photo for explanation

A tree casts a shadow of 45 feet. If the angle of elevation to the top of the tree is 50º,
how tall is the tree?

Answers

Answer:

95

Step-by-step explanation:

add 50,45

Including 8% sales tax, an inn charges $162 per night. Find
the inn's nightly cost before the tax is added.

Answers

Answer:

$150

Step-by-step explanation:

x + 0.08x = 162

1.08 x = 162

x = 150

The inn's nightly cost before the tax is added is $150.

Let's denote the inn's nightly cost before tax as "x." We are given that the inn charges $162 per night, including an 8% sales tax. This can be represented as an equation:

Total cost = Nightly cost before tax + Sales tax

$162 = x + 0.08x

Now, we can solve for "x":

$162 = 1.08x

x = $162 / 1.08

x = $150

So, the inn's nightly cost before the tax is added is $150.

We're asked to find the inn's nightly cost before the tax is added. Let's denote this cost as "x."

We are given that the total cost, including the 8% sales tax, is $162 per night. We can set up an equation using this information:

Total cost = Nightly cost before tax + Sales tax

Mathematically, this can be expressed as:

$162 = x + 0.08x

The 0.08x represents the 8% sales tax, which is 8% of the nightly cost before tax.

Now, we can combine the x terms on the right side of the equation:

$162 = 1.08x

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 1.08:

x = $162 / 1.08

x = $150

So, the inn's nightly cost before the tax is added is $150. This means that if there were no sales tax, the inn would charge $150 per night. The 8% sales tax is then added to this base cost to reach the total of $162.

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im bad at math and i need help​

Answers

I think it would just be n rad n

Answer:

n•√n

here is an accurate representation

To shape service similar create and solve a proportion to find the value of X then find the measure of the unknown side

Answers

Answer:

x = 10

6x - 6 = 54

Step-by-step explanation:

The hypotenuse of both triangles are 63 and 6x - 6; the second longest sides are 49 (greater than 35) and 42 (greater than 30).

So our proportion:

63/(6x-6) = 49/42

Cross multiply

63*42 = 49*(6x-6)

2646 = 294x-294

2940 = 294x

x = 10

Double-check:

63/(6*10 - 6) = 49/42

63/(60 - 6) = 49/42

63/54 = 49/42

7/6 = 7/6

6x - 6 = 6(10) - 6 = 60 - 6 = 54

find the measures of the labeled angles

Answers

Answer:

4x° = (80 - x)°

Step-by-step explanation:

These angles are known as vertical angles. Vertical angles are equal to one another.

Answer:

64

Step-by-step explanation:

4x=80-x

16×4=64

80-16=

Si 22 patos tienen comida para 10 dias, si tenemos 5 patos ¿cuantos días tendrían comida?

Answers

Answer:

[tex]44[/tex]

Step-by-step explanation:

Formulate equation/expression:

[tex]22 \times 10 \div 5[/tex]

Calculate:

[tex] \frac{22 \times10 }{5} [/tex]

Reduce the fraction:

[tex]22 \times 2[/tex]

Calculate the product or quotient:

[tex]44[/tex]

What time does the clock show?

Answers

Answer:

12:43

Step-by-step explanation:

I need help with this please

Answers

Answer:

1.

[tex]( - 2) - 8 \\ = - 10[/tex]

2.

[tex]2 - ( - 6) \\ = 2 + 6 \\ = 8[/tex]

3.

[tex]( - 7) + 1 \\ = - 6[/tex]

4.

[tex]( - 1) - 2 \\ = - 3[/tex]

5.

[tex]( - 4) + 4 \\ = 0[/tex]

6.

[tex]8 + ( - 7) \\ = 1[/tex]

7.

[tex]( - 1) + 6 \\ = 5[/tex]

8.

[tex]( - 2) + ( - 6) \\ = - 2 - 6 \\ = - 8[/tex]

Find x if 2 {x}^2- 3 {x} + 1 >0, where {.} denotes the fractional part in [- 1, 1]

Answers

Step-by-step explanation:

−1,

2

−1

]∪[0,

2

1

]∪{1}

For f to be defined 2{x}

2

−3{x}+1≥0

({x}−1)(2{x}−1)≥0

⇒{x}∈(−∞,

2

1

)∪[1,∞)

But we know, {x}∈[0,1)

Thus {x}∈[0,

2

1

)→(1)

Also given that x∈[−1,1]

Hence required domain is [−1,−

2

1

]∪[0,

2

1

],∪{1}

Note {−x}=1−{x}

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