Snow Dome Ski Resort has 65 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 74 inches of snow. Currently it is snowing there at a rate of ½ inch per hour.

a) Write equations that show the amount of snow at each resort as a function of the number of hours of snow.

b) If the snow continues at this rate, when will Snow Dome have more snow than Mt. Winterpark? Show your solution process clearly.

Answers

Answer 1

Answer:

(a)

Snow Dome Ski: y = 65 + t

Mt. Winterpark: y = 74 + ½t

(b) Hours greater than 18

Step-by-step explanation:

Given

Snow Dome Ski

Base Snow = 65in

Rate = 1 in per hour

Mt. Winterpark

Base Snow = 74 in

Rate = ½ in per hour

Solving (a): Equation for both

To determine the amount of snow (y) at time (t) for any of the two, we make use of:

y = Base Snow + Rate * t

For Snow Dome Ski:

y = 65 + 1 * t

y = 65 + t

For Mt. Winterpark

y = 74 + ½ * t

y = 74 + ½t

Solving (b): When snow dome will have more snow.

To solve this, we set the following inequality

Snow Dome Ski > Mt. Winterpark

This gives:

65 + t > 74 + ½t

Collect Like Terms

t - ½t > 74 - 65

½t > 9

Multiply both sides by 2

t > 18

This implies that the snow at Snow Dome Ski will be more than the snow at Mt. Winterpark after 18 hours.

After 18 hours means, hours greater than 18 which could be 19, 20, 21.....


Related Questions

find the missing value for each of the following 3 questions


1. 5% of 60 is _____


2. 40% of 500 is _____


3. 75% of 60 is ______

Answers

Answer:

1. 3

2. 200

3. 45

Step-by-step explanation:

Which algebraic expression is equivalent to the expression below?

(16x + 1) - 5x
A.
21x + 1
B.
16x + 4
C.
11x - 1
D.
11x + 1

Answers

The answer is D hope this helps

Answer:

D

Step-by-step explanation:

(16x +1) -5x

you basically subtract the -5x from 16x

11x +1

ANSWER PLEASE !!!!! I NEED IT NOW!!

Answers

it would look like this :) it’s rise over tun meaning you go up 2 and you move to the right 5 :)

Complete the following statement:
12 orders in 2 days =
orders per day.???

Answers

Answer:

6 orders per day.

Step-by-step explanation:

12 divided by 2 is 6.

This means that in one day they can pack 6 orders.

Answer:

12 orders in 2 days = 6 orders per day

Step-by-step explanation:

In two days, 12 orders were completed. To find the amount of orders per day, we divide the number of orders by the number of days.

12÷2=6

Therefore, 6 orders per day.

The Los Angeles area experiences many earthquakes. In 1994, the Northridge earthquake measured 6.7 on the Richter scale. In 2014, Los Angeles experienced an earthquake that measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.

Answers

Answer:

[tex]I_1=40I_2[/tex]

Step-by-step explanation:

[tex]M_1[/tex] = Magnitude of 1994 earthquake = 6.7

[tex]M_2[/tex] = Magnitude of 2014 earthquake = 5.1

[tex]I_1[/tex] = Intensity of 1994 earthquake

[tex]I_2[/tex] = Intensity of 2014 earthquake

[tex]I_0[/tex] = Zero-level earthquake the same distance from the epicenter = 0.001 mm

Magnitude is given by

[tex]M_1=\log(\dfrac{I_1}{I_0})\\\Rightarrow I_010^{M_1}=I_1\\\Rightarrow I_1=I_010^{6.7}[/tex]

[tex]M_2=\log(\dfrac{I_2}{I_0})\\\Rightarrow I_010^{M_2}=I_2\\\Rightarrow I_2=I_010^{5.1}[/tex]

Dividing the above intensities with each other we get

[tex]\dfrac{I_1}{I_2}=\dfrac{I_010^{6.7}}{I_010^{5.1}}\\\Rightarrow \dfrac{I_1}{I_2}=39.81\approx 40\\\Rightarrow I_1=40I_2[/tex]

The intensity of the earthquake in 1994 was 40 times stronger than the earthquake in 2014.

Candace bought 14 sacks of dog food to share equally among three dog shelters. How much dog food does each shelter get?

Answers

Answer:

4 sacks

Step-by-step explanation:

Question 3 of 10
Which of the following are trinomials?
A. 8x
B. 3y +5y2 + y
C. 6x2
D. x4 + x2 +1
E. x2 +3
F. x11

Answers

Answer:

So, only B and D are trinomials.

Step-by-step explanation:

A trinomial is an algebraic expression having three terms in it.

A. 8x  

Not a trinomial because, it contains only one term.

B. 3y +5y2 + y

A trinomial because, it contains three terms.

C. 6x2

Not a trinomial because, it contains only one term.

D. x4 + x2 +1

A trinomial because, it contains three terms.

E. x2 +3

Not a trinomial because, it contains two terms only.

F. x11

Not a trinomial because, it contains only one term.

So, only B and D are trinomials.

A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 calories, how many calories are in the Wendy’s small order of fries?

Answers

Answer:

320 calories

Step-by-step explanation:

Small order of fries at Wendy’s = x calories

Small order of fries at McDonald’s = y calories

x = y + 90x + y = 550

Substitute x in the second equation

y + 90 + y = 5502y = 550 - 902y = 460y = 230

Then, x is:

x = 230 + 90 = 320 calories

PLEASE HURRY, ILL GIVE BRAINLIEST

A football player kicks a ball with a force of 50 N. Find the impulse on the ball if his foot stays in contact with the football for 0.01 second.

Answers

Answer:

I= f.t = (50) (0.01) = (0.5) kg.m15

Step-by-step explanation:

jesus loves you and cares for you

The length of a rectangle is four times its width. Twice the perimeter of that rectangle is 160 cm. Find
the length and width of that rectangle. pls answer fast​

Answers

Answer:

Step-by-step explanation:

Given twice the perimeter of rectangle =160

Let width of the rectangle=X

So length of the rectangle =4x

2(perimeter of rectangle)=160

2[2(length+width)]=160

4(4x+x)=160

5x=160/4

5x=40

X=40/8

X=5cm

So length of the rectangle =4x

=20cm

Width of the rectangle =X

=5cm.

Length = 4*5 = 20 cm

Width. = 4 cm.

What is 65658 divided by 706? SHOW YOUR WORK!!

Answers

Answer:

the answer is 93

Step-by-step explanation:

i dont know how to explain it but just use a calculator.

The sum of the two numbers is 37. The smaller number is 21 less than the larger number. What are the numbers?

Answers

8 and 29 is the answer.

2 What is the sum of 5x2 + 3x - 7 and 12x + 12? A. 5x2 + 15x + 5 B. 5x2 + 15x + 19 C. 17x2 + 3x + 5 D, 17x2 + 15x + 12 4 E. 20x" + 5​

Answers

Answer:15x + 15Hope this helps!!

HELPPPPPP !!! I seriously don't know what to write.
Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor. Also include ways in which the business might operate differently with those tools than without them.

Answers

Answer:

This question was previously answered on Brainly...

Be sure to put this into your own words.

Answer: check explanation for the solution

Step-by-step explanation:

A business that offers services to people by providing many amusement and fun with gate fees

The algebraic equations to be used is the general linear equation

Y = MX + C

Where

Y = total income or money realised

M = rate or price rate

X = number of goods or services

C = flat rate or gate fees

The business can also operate differently by using exponential equation

A = P(1 + R%)^t

Where

A = profit

P = capital

R = rate

t = time

What division problem can be represented using the number line?

A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.

Answers

Answer:its b

Step-by-step explanation:

edge 2020

Answer:its b

Step-by-step explanation:

Calculate 21+23+25...+81

Answers

Answer:

150

Step-by-step explanation:

Have a great night. ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎

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︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎

56) A tire retailer plans to sell
$100,000 worth of tires in
January. Planned reductions are
$15,000; planned inventory for
January Ist is $300,000 and for
January 31st is $350,000. As of
January 8th, the retailer has
ordered $15,000 for January
delivery. What is the open-to-
buy for the rest of the month?

Answers

Answer:

/

Step-by-step explanation:

What’s the answer for r

Answers

Answer:

can you show a picture :)

Where is the picture

HELPPPP PLEASEEE ASAPPPPP

Answers

Answer:

Step-by-step explanation:

PQRS

PQ + QR + RS + PS = 186

RS = SP - 7

PQ = RS = x - 7

QR =  PS = x

2x + 2(x - 7) = 186

4x = 200

x = 50

PQ and RS = 43

QR and SP are 50

the answer is 43 & 50 ^^

Please i need help
A point on a wheel has a constant angular velocity of 3 rad/s. The angle turned through in 15 seconds is:

45 rad


10π


5 rad


90π rad

Answers

Answer
I think 10
Hope this help

Find the product. Enter your final answer as a simplified fraction.
1/4•4/5•5/6=

Answers

Answer:

I am sorry if I'm wrong, but I got 600 or 36000/60

Step-by-step explanation:

First I looked for the least common denominator,(LCM) it was 60. Then I multiplied the numerator by the number that was multiplied by the denominator to find the new numerator for each fraction.(Example: The denominator was 60, so I looked for what 60 divided by four was, because that was the denominator. It ended up being 15. now I multiplied the numerator, which was 1 by 15 to create the new numerator. Then I did that with the other two fractions.) After all the fractions have the same denominator, you can multiply them. To multiply fractions you multiply all the numerators together and leave the denominator the same. Then I just simplified it. From 36000/60 to 600. Hope this helped :)

Find an equation of the line containing the given pair of points.
​(−5​,−5​) and ​(4​,4​)

Answers

Answer:

y = x - 9

Step-by-step explanation:

[tex]Slope=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{4-(-5)}{4-(-5)}=\frac{9}{9}=1[/tex]

[tex]y-intercept:y-y_{1}=m(x-x_{1} ) \\y-(-5)=1(x-4)\\y+5=x-4\\[/tex]

Subtract 5 from both sides;

y = x - 9

f(x)=2^x+1 and g(x)= f (x-3)
Enter the rule of function for g in the box
g (x) =

Answers

G(x)= f(-3)=2^-3+1=1.125

The library charged Monica $50 for a book that was 10 days overdue

Answers

erm what’s your question?

Which is not a true statement about 4x^2 + 5x - 1 ?

Answers

Answer:

ndidnfnfjkfnfb

Step-by-step explanation:

nxbcudnbdbdhdikd

Answer:

where is the statement

Find the simple interest earned after 5 years on $800 at an interest rate of 9

Answers

Answer: It would be $1160

Name the values of the 5s in 5,500

Answers

Answer:

5 thousand and 5 hundred.  

Step-by-step explanation:

Answer:

uno dos tres

Step-by-step explanation:

i will give the BRAINIEST

given g (x)= f (x)+k. Identify a value of k that transforms f into g. Round your answer to the nearest integer.​

Answers

K= 5

Step-by-step explanation:

You must count the distance between so if you look at where it lines up perfect -3,0 up to 2 the distance is 5

Answer:

k = - 5

Step-by-step explanation:

The slopes are same and y-intercepts are:

2 for f and -3 for g

Since we have:

g(x) = f(x) + k

We can find the value of k:

-3 = 2 + kk = -3 - 2k = -5

Answer is k = - 5

The slope is the same as the unit rate and constant of a proportionality in a _______.
A. Prortional relationship
B. Slope
C. Rise
D. x2- x1
E. Run
F.y2 - y1

Answers

Answer:

I think the answer is B: Slope

Step-by-step explanation:

On a graph, proportional relationships are straight lines that extend through the origin. The relative steepness of the line is called slope; the slope of a graph is the same as the constant of proportionality of the equation.

Hope this helped, Have a Wonderful Day!!

The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5

What are 25 times by the same number then divide it by sixty

Answers

25(25) = 625

625/60 ≈ 10.4166

Or when rounded to the nearest hundredth, 10.42
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