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?

Step-by-step explanation:

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

I hope it makes sense

:)

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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Answer:

I'm about to use the lmgtfy card

Answer:

48 us cups = 3 us cups

Plz mrk me brainliest

Answer:

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

Step-by-step explanation:

gd afternoon

have a lovely day

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

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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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

[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]

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

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]

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

Step-by-step explanation:

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.

Answer:

I think -3.5 is the right answer

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

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]

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.

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

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.

Answer:

95

Step-by-step explanation:

add 50,45

Answer:

The best deal

Step-by-step explanation:

First of all what company is that?

And what type deal..?

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=

Answer:

n•√n

here is an accurate representation

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]

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

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}

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.

Answer:

12:43

Step-by-step explanation:

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

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]

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

Hi :)

f(r) = 3.14r2

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

f(7) = 43.96