At the end of a snow storm, Amelia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. After the storm, the snow started melting at a rate of 1.5 inches per hour and it is known that 4 hours after the storm ended, the depth of snow was down to 12 inches. Write an equation for S,S, in terms of t,t, representing the depth of snow on Amelia's lawn, in inches, tt hours after the snow stopped falling.

Answers

Answer 1

Answer:

s= -1.5t + 18

Step-by-step explanation:

Answer 2

The Equation to represent the depth of snow is s= -1.5t + 18.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We learn from the question that the snow's depth is s and that it takes hours to melt the snow.

The amount of snow is 12 inches deep after 4 hours of melting.

Now, keep in mind that the melting rate is 1.5 inches per hour.

and, 1.5 x 4 = 6 inches of snow will have melted in the four hours.

Thus, the initial snow depth will be 6 + 12 = 18 inches.

Hence, the Equation to represent the depth of snow is s= -1.5t + 18.

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Related Questions


Tell whether the set of fractions are equivalent.
Explain why or why 5/7 15/21

Answers

Answer:

YES

Step-by-step explanation:

[tex]\dfrac{5}{7}=\dfrac{5\cdot3}{7\cdot3}=\dfrac{15}{21}[/tex]

Yes, because you can multiply the numerator and denominator by the same number except 0. The fraction value does not change.

Yes 5/7 is equivalent

Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.

Answers

Answer:

whats the question

Step-by-step explanation:

whats the question

Answer:The rest of the question is: Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Step-by-step explanation:

Took the test

can someone please help me with this question​

Answers

Answer:

The area of the circle is 18.84.

Step-by-step explanation:

You multiply pi (3.14) by the radius of the circle, which is 6, to get the area of any circle.

The following numbers are arranged in ascending order. Their median and mean are same .Find the value of x: 4, 7 ,x + 1, x+ 3 ,x + 4, 14, 16​

Answers

Answer:

x=7

Step-by-step explanation:

(4+7+x+1+x+3+x+4+14+16)/7​=x+3

(11+x+1+x+3+x+4+14+16)/7​=x+3

(49+3x)/7​=x+3

49+3x/7​=x+3

49+3x​=7x+21

49=4x+21

28=4x

x=7

4. Which of these is a linear pair?

Answers

2x+x=180

3x=180

x=180/3

x=60

Jamaal is using a photo-editing computer program. He sets up the "F1" key to perform a 20% enlargement in both dimensions. He sets up the "F2" key to increase the picture size by 2cm in both dimensions. Then Jamaal sets up "F3" to do "F1" followed by "F2".


What is the equivalent function for a picture xcm by xcm?

A f3(x)=f2(f1(x))=1.2x+2
B f2 (x)+(fx+f1) (x)=2.2x=2
C f3 (x)=f1(f2(x))=1.2x+2.4
D f3 (x) = (f2 *f1)(x)=1.2x^2+2.4x

Answers

Answer:

A f3(x)=f2(f1(x))=1.2x+2

Step-by-step explanation:

The "F1" key is to perform a 20% enlargement in both dimensions. So, first the function F1 increases the dimension x by 20%. That is, our new dimension x' is now the initial dimension plus the increase. The initial dimension is x and the increase is 20% of x = 0.2x. So, x' = x + 0.2x = 1.2x. So, F1(x) = x' = 1.2x

Then, the "F2" key is to increase the picture size by 2cm in both dimensions. So, the function F2 works on x' and add 2 cm to it. So, our new dimension is thus x" = x' + 2.

So F2(x') = x" = x' + 2 = F1(x) + 2

F2(F1(x)) = x' + 2 = 1.2x + 2

F3(x) = F2(F1(x)) = 1.2x + 2

F3(x) = 1.2x + 2.

So, the equivalent function for a picture x cm by x cm is F3(x) = F2(F1(x)) =  1.2x + 2.

Round 7,954 to the place named.

Answers

Answer:

8.0

Step-by-step explanation:

Answer:

8.0, 7.95, 8.0

Step-by-step explanation:

I don't know how I'm supposed to explain this but um. Yeah those are the answers

solving equations with variables on both side! due today​

Answers

Answer:

x=5

Step-by-step explanation:

2-3x = -x-8

Add 3x to each side

2-3x+3x= -x+3x-8

2 = 2x-8

Add 8 to each side

2+8 = 2x-8+8

10 =2x

Divide by 2

10/2 =2x/2

5 =x

david is running a concession stand at a soccer game. he sells nachos and sodas. nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, DAvid made a total of $78.50 and sold a total of 87 nachos and sodas combined

Answers

Answer:

so what are you asking

Step-by-step explanation:

Please help me this question is hard

Answers

Answer:

I cant see

Step-by-step explanation:

Answer:

dont have an answer yet...question too small to see...

Step-by-step explanation:

The function y = 0.752 +4.75 represents the cost y (in dollars) of a bowl of soup with a bread sticks. You can buy 0, 1, 2, or 3 bread sticks.
Identify the independent and dependent variables, the domain, and the range.

Answers

Answer:

Answer in explanation

Step-by-step explanation:

y = 0.752x + 4.75

The independent variable will refer to what we have on the horizontal axis which is x. It is from these x we will get the values of the y

The dependent variable is the other variable asides the independent, in this case, the dependent variable is y

When we talk of the domain, we talk of the range of values from the independent variable axis

Here, these values are 0,1,2 or 3

Lastly, the domain refers to the range of values on the y-axis

To get this, we need to input the x-values digit into the equation one after the other

At x = 0

y = 4.75

At x = 1

y = 0.752 + 4.75 = 5.502

At x = 2

y = (0.752)2 + 4.75 = 6.254

At x = 3

y = 0.752(3) + 4.75

= 7.006

The range of values is between 4.75 and 7.006

Which one of the relationships described is not proportional?

a.
Cedrick earns $9.75 for each day he pet-sits; is the relationship between the money he earns and the days he works proportional?

b.
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?

c.
The length of the side of a square and its perimeter; is the relationship between the measurements proportional?

d.
A car travels at a constant speed of 35 miles per hour is the relationship between the distance and the time proportional?


Answers

Answer:

Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?

Step-by-step explanation:

i just did it

The Baltic Sea is almost completely surrounded by countries in Europe. The average depth of the Baltic Sea is 52 meters below the surface. The deepest point in the Baltic Sea is 407 meters lower than this. What is the deepest point in the Baltic Sea relative to the surface?

Answers

Answer:

The deepest point in the Baltic Sea relative to the surface is 459 meters.

Step-by-step explanation:

The average depth of the Baltic Sea is:

[tex] d_{1} = 52 m [/tex]

The deepest point in the Baltic Sea is (lower than this):

[tex] d_{2} = 407 m [/tex]

Hence, the deepest point in the Baltic Sea relative to the surface is given by:

[tex] d_{T} = d_{1} + d_{2} = 52 m + 407 m = 459 m [/tex]

Therefore, the deepest point in the Baltic Sea relative to the surface is 459 meters.

I hope it helps you!          

How would I do this?

Answers

Go to desmos graphing calculator

I cannot figure out how to solve this, we did not cover it in class today and it is on tonights homework.

Answers

Answer:

x = 32.5

y = 65

Step-by-step explanation:

y = 65 degrees

65 and y are the base angles in an isosceles triangle ( single lines)  so they are equal

y+z = 180 since they form a straight line

65+z = 180

z = 180-65

z = 115

The second triangle is also an isosceles triangle so the base angles are the same as shown by x

180 = x+x+z

180 =2x+ 115

65 = 2x

Divide by 2

x = 32.5

2(x + 3) = 18

please i need a valid answer I'm in 6th-grade pre-ap so this is seventh-grade math.

Answers

Answer:

6

Step-by-step explanation:

2(x+3)=18

2x+6=18

2x=12

x=6

Answer:

x = 6

Step-by-step explanation:

2(x + 3) = 18

 2x + 6 = 18

       2x = 12

         x = 6

I don’t get it !!! Do I multiply by 4 to get the answer? Please show your work!

Answers

Answer:

Im not sure. but isnt the answer 15

Step-by-step explanation:

Because to find the shaded amount you would do 3x5 and get 15.

Answer:

I'm not sure tbh but I'm pretty sure the answer is 15

Step-by-step explanation:

Which lines are parallel is m∠1 + m∠2 = 180? Justify your answer.

Answers

Step-by-step explanation:

i think the correct answer is j // k by the converse of the same side interior angles theorem

A ramp is 50 feet long and has a 6° incline. A second ramp is 30 feet long and runs parallel to the first ramp. To determine the vector representing the shorter ramp, what scalar must be multiplied to the vector representing the first ramp? a scalar less than –1 a scalar between –1 and 0 a scalar between 0 and 1 a scalar greater than 1

Answers

Answer:

a scalar between 0 and 1

Step-by-step explanation:

i just took the test on EdG. :)

To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.

To answer the question, we need to know what scalars and vectors are

What are scalars?

These are variables that have only magnitude.

What are vectors?

These are variables that have both magnitude and direction.

Now since the first ramp is 50 feet long and has a 6° incline and the second ramp is 30 feet long and runs parallel to the first ramp. We see that the magnitude of the first ramp is greater than that of the second ramp.

So, to obtain a vector representing the second ramp from that of the first ramp, we multiply by a scalar which will be between 0 and 1, since, the magnitude of the first ramp vector is greater than the magnitude second ramp vector.

So, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.

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A telephone number has the form NXX-ABC-XXXX. Today N is 2-9, and X is 0-9. However, there are exceptions as 37X and 96X are reserved for future use. Additionally N9X is reserved for expanding the total numbers at a later date. Finally, N11 is reserved for service numbers. How many total area codes are currently available given this information?

Answers

Answer:

The total area codes that are currently available is 692.

Step-by-step explanation:

The area code is of the form: NXX.

The variable N can take values,

N = {2, 3, 4, 5, 7, 8 and 9}

The variable X can take values,

X = {0, 1, 2, 3, 4, 5, 7, 8 and 9}

Considering that repetitions are allowed.

The total possible number of area codes is:

T = 8 × 10 × 10 = 800

So, there are 800 possible area codes.

The exception codes are:

{37X, 96X, N9X and N11}

There are 10 possible combinations for 37X.There are 10 possible combinations for 96X.There are 80 possible combinations for N9X.There are 8 possible combinations for N11.

So, the number of reserved area codes is, 10 + 10 + 80 + 8 = 108.

Then the area codes that are currently available is, 800 - 108 = 692

Thus, the total area codes that are currently available is 692.

A computer store is having a clearance sale. All items are discounted by 35%. What is the sale price of a disc drive that regularly costs $40?

Answers

The Answer is probably $3

Answer:

$14

Step-by-step explanation:

simba travel agency arranged trips for climbing mount kilimanjaro. for each trip, they charge an initial fee of 100$ in addition to a constant fee for each veriticle meter climbed. for instance, the total fee for climbing to the shira volcanic cone, which is 3000 meters above the base of the mountain is 400$. let y represent the total fee in dollars of a trip where they climbed x vertical meters.

Answers

Yesterday was a great

If a + b = -3 and ab = -5/2

then find the quadratic equation whose roots
are a and b.

Answers

Given :

• Sum of zeroes ( a + b ) = -3

• Product of Zeroes ( ab) = -5/2

To find  :

• The quadratic equation .

Solution :

As we know that :

• Quadratic equation

=> x² - ( sum of Zeroes )x + product of zeroes =0

Put the given values :

=> x² - (-3)x + ( -5/2) = 0

=> x² + 3x -5/2 = 0

=> (2x² + 6x -5) / 2 = 0

=> 2x² + 6x -5 = 0

Hence , the quadratic equation is 2x² + 6x -5 .

I hope it will help you.

Regards.

PLZ HELP ME WITH THIS IT IS SO CONFUSING ON 10 MINUTES LET PLZZZ ILL GVE BRAINLIEST

Answers

Answer:

f =  3x^2+ 1  / x

Step-by-step explanation:

Let's solve for f.

fx=3x2+1

Step 1: Divide both sides by x.

fx  / x  =  3x^2+1  / x

f=  3x2+1  / x

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = 3x² + 1

To obtain f(- 1) substitute x = - 1 into f(x) , that is

(8)

f(- 1) = 3(- 1)² + 1 = 3(1) + 1 = 3 + 1 = 4

(9)

Similarly

f(0) = 3(0)² + 1 = 3(0) + 1 = 0 + 1 = 1

(10)

Given

f(x) = 3x² + 1 and f(x) = 49, then equate right sides

3x² + 1 = 49 ( subtract 1 from both sides )

3x² = 48 ( divide both sides by 3 )

x² = 16 ( take the square root of both sides )

x = ± [tex]\sqrt{16}[/tex] = ± 4

That is x = - 4 or x = 4

PLEASE HELP ME I REALLY NEED HELP ON THIS QUESTION!!!!\

Keyleanis and her friend both started a part-time job at McDonnald earning $14 per hour. Claudia worked 38 ½ hours her first week. Keyleanis agreed to pay her friend 1/5 of her salary for reimbursement off gas and food. How much money did Keyleanis pay her friend for gas?

Answers

Answer:

[tex]total \: earning \: in \: a \: week \: \\ = 14 \times \frac{77}{2} \\ = 7 \times 77 \\ = 539 \\ now \: pay \: for \: her \: friend \\ 539 \times \frac{1}{5} = 107.8[/tex]

A dealer bought an article for Rs1500 and sold it at 20 percent profit . what was rhe sale price of the article?

pls solve this question i will mark as a brainlist.​

Answers

[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]

Given that , a dealer bought an article for Rs 1500 and sold it at a profit of 20% .

So , here ,

Cost price of the article = Rs 1500.Profit on the article = 20% .

Since the article is sold at profit , the Selling price of the article will equal to Cost price + 20% of cost price .

Firstly let's Calculate 20% of 1500 .

= 20% of Rs 1500 .

= 20/100 × Rs 1500 .

= Rs 300 .

Hence we can find now Selling price as ,

[tex]\boxed{\green{\bf Selling\: Price=Cost\:Price+Profit}}[/tex]

⇒ SP = CP + Profit .

⇒ SP = Rs ( 1500 + 300 ).

⇒ SP = Rs 1800 .

Hence the required answer is Rs 1800.

Explain how to find the constant of proportionality from a table, graph, or written description. Ready? Enter your answer here.​

Answers

The constant of proportionality is the slope.

The slope is the change in Y over the change in x. (Y2 -y1) / (x2 -x1)

From a table use two set of values (x,y) subtract two y values from each other and then subtract the two corresponding x values from each other. Depending on the size of the table it’s a Leah a good idea to use the first and last set of values from the table.

From a graph locate two points on the line that you can get an accurate x and y value and subtract the two y values and the two x values: (y2 -y1) / (x2-x1).

From a written description there should be a reference two two different points, using the two referenced point subtract them like in the directions given above.

what is the slope of the line whose equation is y-4=5/2(x-2)

-5/2

-2/5

2/5

5/2​

Answers

Last one 5/2 is the answer

Answer:

The slope of the line would be 5/2

Step-by-step explanation:

Because if you put in the y-4=5/2(x-2) on the desmos calculator the line segment shows up and you will find the rise/run which is the equation to find a slope. So the rise I counted was 5 and the run was 2. Therefore the fraction would look like this: 5/2

Fun fact : bannanas are curved because they are growed toward the sun

Answers

Answer:

That is Cool

Step-by-step explanation:

Because it just is.

Is this the correct answer? Please someone help!!!

Answers

Answer:

yes

Step-by-step explanation:

same slope

Answer:

yes same slope

Step-by-step explanation:

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