Answer:
slope is 1/6
Step-by-step explanation:
Snow Dome Ski Resort has 75 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 68 inches of snow. Currently it is snowing there at a rate of 2 inches per hour.
a) Make a table or a graph showing the amount of snow from 0 to 10 hours at each resort if the snow continues falling at this rate.
b) Indicate on your table or graph where the amount of snow will be the same at both resorts.
Answer:
a. See explanation for table
b. The 7th hour
Step-by-step explanation:
Given
Ski Resort
[tex]Base\ Snow = 75in[/tex]
[tex]Rate = 1in[/tex] hourly
Mt. Winterpark
[tex]Base\ Snow = 68in[/tex]
[tex]Rate = 2in[/tex] hourly
First, we need to illustrate the amount of snow as an equation in both cases.
[tex]Amount = Base\ Snow + Rate * Time[/tex]
Let x be number of hours. and y be the amount of snow
So:
Ski Resort
[tex]y= 75 + 1* x[/tex]
[tex]y= 75 + x[/tex]
Mt. Winterpark
[tex]y= 68 + 2 * x[/tex]
[tex]y= 68 + 2x[/tex]
Next, we make a table to show the data.
When [tex]x = 0[/tex]
Ski Resort: [tex]y = 75 + 0 = 75[/tex]
Mt. Winterpark: [tex]y = 68 + 2(0) = 68[/tex]
When [tex]x = 1[/tex]
Ski Resort: [tex]y = 75 + 1 = 76[/tex]
Mt. Winterpark: [tex]y = 68 + 2(1) = 70[/tex]
When [tex]x = 2[/tex]
Ski Resort: [tex]y = 75 + 2 = 77[/tex]
Mt. Winterpark: [tex]y = 68 + 2(2) = 72[/tex]
When [tex]x = 3[/tex]
Ski Resort: [tex]y = 75 + 3 = 78[/tex]
Mt. Winterpark: [tex]y = 68 + 2(3) = 74[/tex]
When [tex]x = 4[/tex]
Ski Resort: [tex]y = 75 + 4 = 79[/tex]
Mt. Winterpark: [tex]y = 68 + 2(4) = 76[/tex]
When [tex]x = 5[/tex]
Ski Resort: [tex]y = 75 + 5 = 80[/tex]
Mt. Winterpark: [tex]y = 68 + 2(5) = 78[/tex]
When [tex]x = 6[/tex]
Ski Resort: [tex]y = 75 + 6 = 81[/tex]
Mt. Winterpark: [tex]y = 68 + 2(6) = 80[/tex]
When [tex]x = 7[/tex]
Ski Resort: [tex]y = 75 + 7 = 82[/tex]
Mt. Winterpark: [tex]y = 68 + 2(7) = 82[/tex]
When [tex]x = 8[/tex]
Ski Resort: [tex]y = 75 + 8 = 83[/tex]
Mt. Winterpark: [tex]y = 68 + 2(8) = 84[/tex]
When [tex]x = 9[/tex]
Ski Resort: [tex]y = 75 + 9 = 84[/tex]
Mt. Winterpark: [tex]y = 68 + 2(9) = 86[/tex]
When [tex]x = 10[/tex]
Ski Resort: [tex]y = 75 + 10 = 85[/tex]
Mt. Winterpark: [tex]y = 68 + 2(10) = 88[/tex]
Hence, the table is:
x ---- Ski Resort ---- Mt. Winterpark
0 --------75 ----------- 68
1 --------76 ----------- 70
2 --------77 ----------- 72
3 --------78 ----------- 74
4 --------79 ----------- 76
5 --------80 ----------- 78
6 --------81 ----------- 80
7 --------82 ----------- 82
8 --------83 ----------- 84
9 --------84 ----------- 86
10 -------85 ----------- 88
(b)
From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches
Which number is bigger: 1.58 or 1.025
Answer:
1.58 is bigger than 1.025
Step-by-step explanation:
Answer:
1.58 is greater
Step-by-step explanation:
because just compare the digits...in once place both are having same no. but in tenths place they are different since 5 is greater than 0
Solve for x enter the solution from least to greatest x2 - 11x + 18 =0
Answer:
x = 2 , 9
Step-by-step explanation:
[tex] {x}^{2} - 11x + 18 = 0[/tex]
[tex] = > {x}^{2} - 9x - 2x + 18 = 0[/tex]
[tex] = > x(x - 9) - 2(x - 9) = 0[/tex]
[tex] = > (x - 9)(x - 2) = 0[/tex]
Here x will have 2 solutions.
1) [tex]x - 9 = 0[/tex]
[tex] = > x = 9[/tex]
2)[tex]x - 2 = 0[/tex]
[tex] = > x = 2[/tex]
Hence the 2 solutions of x are +2 & +9
If the 3rd term of a geometric series is
-3 and the sum of the 4th term and the 5th term is –6, find the 7th term of the series.
Answer:
-3or-48
Step-by-step explanation:
in this question you will get two equation which will used to find common ratio and first term and finally you will find 7th
Point-slope form of the line that passes through (-8,2) and is perpendicular to a line with a slope of -8
Answer:
y-2=1/8(x+5)
Step-by-step explanation:
1. Perpendicular lines have opposite slopes. To get the new slope, take the slope of the first line and turn it to make it the opposite reciprocal.
Since it's -8, the opposite of it is 1/8.
2. Now, use point slope: y-y1=m(x-x1). Plug in the values of the ordered pair and the slope into the equation.
y-2=1/8(x+8)
And that's your answer
What is 3(2+q)+15 simplified
Answer:
The Answer should be....
3q + 21
Pete, Bryan, and Philip are cousins. Pete's age is one-third of Bryan and Philip is five years elder than Bryan. If the sum of the age of the cousins is 40, find the ages of each.
Answer: Philips age is 20. Bryans age is 15
Step-by-step explanation:
Your friend says that there are 36 feet in 12 yards. Is your friend correct? Explain your reasoning?
Answer:
Your friend is correct.
Step-by-step explanation:
3 feet - 1 yard
36 / 12 = 3
expand 2 + 4 how do i do this
Answer:
6
Step-by-step explanation:
You could expand t to 1+1+1+1+1+1 which would give you 6.
Answer:
2+4=6
Step-by-step explanation:
Divide 64.5 by 0.015, leaving the answer in standard form
Answer:
4.3 *10^3
Step-by-step explanation:
A store sells shirts at a price of 2 for $5.00. At this price, how much do 7 shirts cost?
Answer:
$17.50
Step-by-step explanation:
2 goes into 7 3 times, and 5 times 3 is $15.00, so theres one shirt left. If 2 shirts cost $5, one will cost $2.50. So, 15+2.50= $17.50
What is the domain of the line in inequality form?
+
-7 -6 -5 4 -3 -2 -1 0 1 2 3 4 5 6 7
b
6SX <-3
-3
6
-3
Od
Answer:
vtgggfdfhufjdbbrhenrvrhthrjt
Find the slope between (2, 5) and (7,3).
Answer:
-2/5
Step-by-step explanation:
y2-y1
-------- is -2/5 . after . u plug the 2 pairs
x2-x1
2x -3 = -7 please help
Answer:
2x - 3 = -7 (add 3 to both sides)
2x = -4 (divide each side by 2 to get x alone)
x = -2
I need help, please
it is do tomorrow
Answer:
8) 21 milliliters
i am not completly sure but it is NOT the whole
9) .4 & 40%
7) 9670 feet
10) a) $7200 b)350,000
Step-by-step explanation:
cuz 35% of 60 is 21
cuz 120/300 is .4 and if you take 300 * .4 it equals 120
A package of self-sticking notepads contains 6 yellow, 6 blue, 6 green, and 6 pink notepads. An experiment consists of randomly selecting one of the notepads and recording its color. Find the sample space for the experiment.
Answer:
24
Step-by-step explanation:
becuse 6+6+6+6=24
WILL GIVE BRAINLYEST
Make an inequality in standard fom with two variables and explain a real world
Situation that may apply.
Explain how you would graph the inequality
Answer:
The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.
Step-by-step explanation:
3 x ?
= -12
Please help
Answer:
-4
Step-by-step explanation:
Positive times a negative equals a negative.
3 × 4 = 12 so 3 × -4 = -12
Answer:
-4
Step-by-step explanation:
I came across the function y^4=x^3+x^2. What is this function called and what are its uses? Answer: This is a singular algebraic curve
No answer needed, take the points.
Answer:
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Answer:
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Step-by-step explanation:
x3f222222222
What is the value of the expression (x+y) + 5 if x = 6 and y =4
Answer:
15
Step-by-step explanation:
the expression is (x+y)+5
Now, you need to plug in x=6 and y=4.
So, you have the expression, (6+4)+5
You then add the 6 and 4 since they are in parenthesis, which equals 10. Then you add the 5, which equals 15.
find the slope of the line please help!
Answer:
3/8 or .375
Step-by-step explanation:
Evaluate the following expression. y + 9 when y = 12
Answer:
21
Step-by-step explanation:
y+9 = ?
y=12
12+9=21
Answer:
3
Step-by-step explanation:
what does 10+10 equal
Answer:
20 is the answer for the question
what is greater 9/3, 2 3/4
Answer:
9/3 is greater
Step-by-step explanation:
Convert it to decimals.
9/3=3
2 and 3/4= 2.75
Please help me
Solve the inequality.
12 - }>8-23
Answer:
Letter D
Step-by-step explanation:
D KO PO SURE SORRY PO KUNG MALI ✌
A line has a slope of 9 and passes through the point (4, 5). What is its equation in point-slope form?
Answer:
y - 5 = 9 (x-4)
Step-by-step explanation:
The graph shows the volume of water in a sink x minutes after the faucet is turned on.
Part A
What is the slope of the line?
Slope =
Part B
Connor says that the graph shows that water is flowing at a rate of 2 gallons per minute. Is he correct?
Connor is correct because the water is flowing in at a rate which is about 2 gallons per minute.
Connor is not correct because the water is flowing in at a rate which is faster than 2 gallons per minute.
Connor is not correct because the water is flowing in at a rate which is slower than 2 gallons per minute.
Connor is correct because the rate of water flowing is less than the slope.
Answer:
Step-by-step explanation:
think of this as distance over time. the distance the water flowed is 2 gallons over 2 min so every 2 min 2 gallons of water has flowed i hope this helped alittle bit
Answer:
2/4
Step-by-step explanation:
It is the answer.
SOMEONE, PLEASE HELP LITERALLY STRUGGLING!!!!!!
Circle 1 represents students involved with drama after school, circle 2 represents students involved in sports, and circle 3 represents students in academic club activities. What can you conclude about students who fit in region B?
A.
Region B represents the students involved in sports only.
B.
Region B represents the students involved in sports and academic clubs.
C.
Region B represents the students involved in drama and sports.
D.
Region B represents the students not involved in academic clubs.
Please select the best answer from the choices provided
A
B
C
D
Answer:
A
Step-by-step explanation:
Which equation can maya use to find how much of the project she painted in all
Answer:
D
Step-by-step explanation:
leo reads 14 pages in 1/3 hour what is the unir rate for pages per page
Answer:
3 cause it's 3 and 1 .
Step-by-step explanation:
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