At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling.

Answers

Answer 1

The expression for S, expressed in terms of t, which represents the amount of snow on Audrey's lawn, is as follows:

S = 0 - 2t

When the storm first began, there were 10 inches of snow in Audrey's yard. This can be shown as a constant value.

2 inches of snow melt each hour when it first starts to melt. We deduct 2t from the initial depth of snow since it gets shallower with time. Here, t denotes the number of hours that have passed since the snow ceased falling.

Determine the depth of the snow on Audrey's lawn at various times by changing the value of t in the equation.

For example, if we substitute t = 1 into the equation,

S = 10 - 2(1) = 10 - 2 = 8

This indicates that 8 inches of snow would be present in Audrey's yard once the snow stopped falling in one hour. To get the depth at various times, you may similarly insert different values for t.

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Related Questions

Fred has one third of a cake. He shares it among 3 of his friends. How much cake does each friend get?

a one third cake
b one sixth cake
c one ninth cake
d one twelfth cake

Answers

Answer:

1/9 Is the answer

Step-by-step explanation:

Answer: C is the anwer ヾ(≧▽≦*)o

Add the two expressions.
-6.56 + 11 and 3.36 - 2

Answers

Answer: 4.1

Step-by-step explanation:

Hope it helped! Brainliest??

If RT¯¯¯¯¯¯ is extended to contain a point W so the UW has a length of 8, what is the length of SW?

Answers

Answer:

8

Step-by-step explanation:

SW and UW are equal because they are at the midpoint . A midpoint is a point on a line segment that divides it into two congruent segments.

Use the identity (x+y)(x^2−xy+y^2)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the squares is 65, and the sum of the cubes of the numbers is 407.

Answers

Step-by-step explanation:

We have xy = 28, x² + y² = 65 and x³ + y³ = 407.

Since (x + y)(x² - xy + y²) = x³ + y³,

x + y = (x³ + y³)/(x² + y² - xy)

= (407) / [(65) - (28)]

= 407 / 37

= 11.

Hence the sum of the numbers is 11.

Answer:

The sum is 11

Step-by-step explanation:

Hope this helped have an amazing day!

Select the correct answer. Which expression is equivalent to the given expression? ​

Answers

Answer:

B

Step-by-step explanation:

2x times x = 2x²

2x times -6 = -12x

1 times x = x

1 times -6 = -6

= 2x² - 12x + x - 6

= 2x² - 11x -6

a graph artist created the design for a rectangular poster. the design is 12 inches by 9 inches. The poster is 48 inches by 36 inches. What scale factor did the graph artist use to create the design

Answers

Answer:

The ratio of the areas of the design and the poster is

(12*9):(48*36) = 1:16

plzzz help me with this ​

Answers

Ok, to prove the two triangles, we need reasoning:

1) the side AC is common (as you can see, both triangles share the side AC)

2) angle DCA is equal to angle BAC (this is due to alternate angles)

3) angle BCA is equal to angle DA (again, this is due to alternate angles)

plz i have 24 hrs to answer this... Pool X currently has 1,200 gallons of water and is being drained at a rate of 15 gallons per minute. Pool Y is currently empty and is being filled at a constant rate of 25 gallons per minute. Which inequality represents the situation when the amount of water in Pool Y is greater than the amount of water in Pool X? 1,200 - 15x > 25x

1,200 + 15x > 1,200 + 25x

1,200 - 15x < 25x

1,200 + 15x < 25x

Answers

Answer: Choice C.    1200 - 15x < 25x

=======================================================

Explanation:

Pool X has 1200 gallons of water in it. It is being drained at a rate of 15 gallons per minute. If lowercase x is the number of minutes, then it has 1200-15x gallons left in the pool.

Consider after 1 minute we have x = 1, so,

1200-15x = 1200-15*1 = 1200-15 = 11185

Then after 2 minutes we have x = 2, which means,

1200-15x = 1200-15*2 = 1200-30 = 11170

is the amount left over in gallons.

----------------

In contrast, Pool Y is empty and we add 25 gallons per minute. So we start with 0 and add on 25x getting 0+25x = 25x as the expression representing the amount of gallons of water in Pool Y

-----------------

So we found these two expressions

1200-15x25x

to represent the amount of water (in gallons) for Pool X and Pool Y respectively.

We want to know when Pool Y will have more water. So we get to this final answer

1200 - 15x < 25x

It is in the form A < B, where A  is the amount of water in Pool X and B is the amount of water in Pool Y.

Answer:

C

Step-by-step explanation:

cause i got it right

Steve drove at a constant rate to the beach for a vacation. In the equation below, t is the time in hours it took Steve to drive to the beach.

64t = 384

What is the unit rate in the equation above?
A.
64 miles per hour
B.
320 miles per hour
C.
384 miles per hour
D.
6 miles per hour

Answers

9514 1404 393

Answer:

  A.  64 miles per hour

Step-by-step explanation:

In a linear equation, the "unit rate" is generally the coefficient of the variable. The units of the unit rate depend on the definition of the relationship.

Here, the time t is in hours, so the "unit rate" will be <something> per hour. The answer choices suggest that the <something> is "miles". That is, the units of the equation are ...

  (miles/hour) × (hours) = miles

With numbers/variables, that is ...

  (64 miles/hour) × (t hours) = 384 miles

The unit rate is 64 miles per hour.

Need help with these ASAP please

Answers

Answer:

5. x= -8/3 y + 3

Step-by-step explanation:


A town's population is 38,200. About 100 people move out of the town each month. Each month, 150
people on average move into town. A nearby town has a population of 40,400. It has no one moving in
and an average of 150 people moving away every month. In about how many months will the
populations of the towns be equal? Write an equation to model the situation. Then solve the equation
and answer the question.

Answers

Answer:

in 11 months

Step-by-step explanation:

y=50x+38,200

y=-150x + 40,400

11 months. please mark me brainliest

Look at the corresponding pairs of numbers on the top and bottom number lines. Write a multiplication sentence to show how 10 gallons and 300 miles are related. How are 5 gallons and 150 related? How are 1 gallon and 30 miles related?

Answers

1 gallon = 30 milles

×5

=5 gallon = 150 milles

×10

=10 gallon =300 milles

Answer:

1 gallon = 30 milles

×5

=5 gallon = 150 milles

×10

=10 gallon =300 milles

Step-by-step explanation:

1 gallon = 30 milles

×5

=5 gallon = 150 milles

×10

=10 gallon =300 milles

which system of inequalities is shown?

Answers

Answer:

d is the right answer.

y is greater than x

y is equal to 4

Step-by-step explanation:

Allen has a 75 yard spool of yarn. He needs to cut the spool of yarn into 6 1/4
yard pieces of yarn.
How many 6 1/4
yard pieces of yarn can Allen create from the 75 yard spool of yarn?

A. 6 pieces

B. 12 pieces

C. 20 pieces

D. 36 pieces

Answers

Answer:

B. 12 pieces

Step-by-step explanation:

75 / 6 1/4 or 75 / 6.25 = 12

Answer:

b (12)

Step-by-step explanation:

I need some help with this.

Answers

Answer:

b is 16 d is 13

Step-by-step explanation:

ok is a baby girl that can I be happy

The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that way nine days late. Her sister Sydneys had a fever of $1.92 for a Late book how many days late was a book

Answers

Answer:

16 days

Step-by-step explanation:

108/9 is 12. The late fee is 12¢ per day. 16x12 is 192.

MULTIPLY.....WILL MARK BRAINLIEST
x^2(-10x^2+1)​

Answers

Answer:

Step-by-step explanation:

Distributive property:  a(b + c) = a*b +a*c

[tex]a^{m}*a^{n}=a^{m+n}\\\\\\x^{2}(-10x^{2}+1)= x^{2}*(-10x^{2}) +x^{2}*1\\\\=-10x^{(2+2)}+ x^{2}\\\\= -10x^{4} + x^{2}[/tex]

Check For Understanding
CELL PHONES A Cell phone company is going to build three new towers in a nearby city. The city council has
released s map that shows where the towers will be built. On the map, the distance between towers A and B is 2
centimeters, the distance between towers B and C 3 centimeters, and the distance between towers A and C is 4
centimeters. A technician needs to visit the stes of the three towers, and he has outlined his travel route between
them on a map. The polygon formed by his travel route on the map will be similar to the polygon formed by the
technicians he drives to the three towers. If the actual distance between tower Band tower C is 600 meters, how
for was the technican have to travel to visit all three cell phone towers?

Answers

Answer:

Distance between A ----> B : 2 cm

B ---> C: 3 cm : 600 meters

A----> C: 4 cm

3:600 meters scaled

So its 200 meters per every 1 cm!

From A to B : 400 meters

From B to C : 600 meters

Frok C to A: 800 meters

Therefore we sum 400+600+800= 1800 meters

What is the solution to the system of equations below?
Y= -1/3x +6 and x=-6

O (-6, 8).
O (-6, 4).
O (8, -6).
O (4, -6)

Answers

Answer:

O (8, -6)

Step-by-step explanation:

brainiest plz

Answer:

(-6,8)

Step-by-step explanation:

Have a good day

Sally and her friends went to the county fair. They paid a total of $20 for their tickets. While at the fair, they bought 3 bags of cotton candy at x dollars each, 4 hamburgers at y dollars each, and 5 drinks at z dollars each. Which expression represents this situation?

Answers

Answer:

20 + 3x + 4y + 5z

Step-by-step explanation:

20 + 3*x + 4*y + 5*z

Answer:

20+3x+4y+5z

Step-by-step explanation:

Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?

Answers

Answer: (h)q^3

Step-by-step explanation:

Craig likes to collect records. Last year he had 4 records in his collection. Now he has 7 records. What is the percent increase of his collection?​

Answers

Answer:

75% I believe

Step-by-step explanation:

A 100% increase would be 8 so adding one would be a 25% increase. since 3 were added it would be 75

6th grade math i mark as brainliest​

Answers

Answer:

138.8 is the answer

Step-by-step explanation:

i hoped it helped

Answer:

138.8

Step-by-step explanation:

214.8-76=138.8

hope u get it right

have a great day

The chart shows how many people have signed up to go on a field trip each day. 62 students are allowed to go on the field trip. On
which day would you expect that number to be reached?
A)
8
B)
9
o
10
D
11

Answers

Answer:

c 10

Step-by-step explanation:

the number is increasing by 4. keep adding 4 until you reach 62, day 10

The length of the deck is 3 times it’s width. If the decks perimeter is 16 ft what is the decks area

Answers

Answer:

12 ft²

Step-by-step explanation:

Givenl = 3wP = 16A = ?Solution

Use perimeter formula

P= 2(l + w) = 2(w + 3w) = 8w

Find width:

8w = 16 ⇒ w = 2 ft

Find length:

l = 3*2= 6 ft

Find area:

A = lw = 6*2 = 12 ft²

I need this ASAP!!! Please

Answers

the answer is 5/8 or 0.625

Linda put $130 to start a bank account. At the end of each week, Linda goes to the bank and either makes a withdrawal (takes money out) or a deposit (puts money in). The first four weeks of Linda's bank activity are listed. Week 1: withdraws $125 Week 2: deposits $400 • Week 3: withdraws $240 • Week 4: deposits $183 She wants to use the money she has her account to buy a music system worth $575. How much more money does she need? A $218 B. $227 C. $348 $357​

Answers

Answer:

?

Step-by-step explanation:

Answer:

227

Step-by-step You subtract 130 with 125 which will give you 5 Then you add 400 which is 405 then you subtract 405 by 240 which is 165 and finnaly you add 165 with 183 and get 348. You then take that 348 and subtract it by 575

( 575 - 348 ) and get 227.

AHH HELP-

solve for y.
-2x + y = 5

what does y equal and how did you solve it?

Answers

Answer:

x = - 5 +  Y        _     _        2     2

Step-by-step explanation:

I just moved all terms that don't contain x to the

right side and solved!

Hope this Helps!

Can the equation below be used to solve the following? If not, explain why.
0.75x + 3 = 0.25x + 5.25

At an ice cream shop, customers pay $3.00 for medium ice cream plus $0.75 per topping. At a second ice cream shop, customers pay $5.25 for a medium ice cream plus $0.25 per topping. How many toppings would a customer have to order for the ice cream to cost the same at either shop?

Answers

Answer:

Yes; the equation and the problem do match.

Step-by-step explanation:

In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house

Answers

Answer:

$12,500

Step-by-step explanation:

Given that, Linda purchased a house for $120,000 in 2007 and the value of the house was $245,000 in 2017.

Total change in the value of house= $245,000- $120,000=$125,000.

Total time (in years) between 2007 and 2017 = 2017-2007=10 years.

The value of the house changes by $125,000 in the time interval of 10 years.

So, the average annual rate of change in the value of the house = $125,000/10=$12500 per year.

Hence, the average annual rate of change in the value of the house is $12,500.

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