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
Adam biked 6 3/4 miles to work and then 3 2/5 miles to the store. How many miles had he biked that day when he arrived at the store
Answer:
6 + 3 + 1.15 = 10.15 miles
Step-by-step explanation:
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:
Alaina is making a birdseed mix with 2 1/3 lb sunflower seeds, 5/6 lb cracked corn, and 1/6 lb peanuts. How much cracked corn does Alaina need to make 5 lb of birdseed mix? Show your work.
Answer:
2 1/3+5/6+1/6= 3 1/2
Step-by-step explanation:
Change your denominator to 6 and add then reduce if possible
I NEED HELP !!!! A taxi driver spends $105 every week on gas for 6 weeks. What integer represents the effect of buying $105 on gas for 6 weeks on the taxi driver’s bank account, in dollars?
.Answer:
-105
Step-by-step explanation:
Given
[tex]Gas = \$105[/tex] for 6 weeks
Required
Represent this as an integer
If the driver spends $105 on his taxi then it means that the money is debited from the driver's bank account.
Debit implies negative and it is represented by a negative symbon
Hence, the integer that represents this scenario is -105
the area of the square is 36 cm. 2 what is the formula that shows the length or side b
Answer:
36=b^2 or b=the square root of 36
Step-by-step explanation:
The sides of a square are all equal in length. To find the area of a square you can multiply the two sides together. Considering that they are the same length, you can just square one of the side lengths to get your answer. To find a side length you can take the square root of the area.
Answer:
Step-by-step explanation:
b · b = 36
Start with n and subtract 6
Answer:
n-6
Step-by-step explanation:
evaluate -5 - 15 + 4 + 15
Answer:
Step-by-step explanation:
-5+-15= -20
4+15= 19
-20+19
-1
Answer:
-1
Step-by-step explanation:
-5 - 15 + 4 + 15
-20 + 19
-1
plzzzzz mark me brainliest
Help usatestprep need answer
Answer:
one solution
Step-by-step explanation:
they only meet up once
get a new computer br.uh
For a group of 70 people, assuming that each person is equally likely to have a birthday on each of 365 days in the year, compute (a) The expected number of days of the year that are birthdays of exactly 4 people:
Answer:
0.0157
Step-by-step explanation:
From the information given:
The sample size = 70
The expected no. of days of year that are birthday of exactly 4 people is:[tex]P = \bigg [ \dfrac{1}{365} \bigg]^4[/tex]
The expected number of days with 4 birthdays = [tex]\sum \limits ^{365}_{i=1} E(x_i)[/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ ^{70}C_{4} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{70-4} \bigg][/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ \dfrac{70!}{4!(70-4)!} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{66} \bigg][/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ 916895 \times 5.6342 \times 10^{-11} \times 0.8343768898 \bigg][/tex]
= 0.0157
Therefore, the required probability = 0.0157
35% of 80 is what?
Helppppppppp
Answer:
Its 28.
Step-by-step explanation:
Answer:
Its 28
Step-by-step explanation:
1. Write 35% as 35100.
2. 35100 of 80 = 35100 × 80.
3. Therefore, the answer is 28. If you are using a calculator, simply enter 35÷100×80 which will give you 28 as the answer.
plz brainlist if i helped
The ratio of employees who own a red car to employees who own a black car is
1:5. If there are 6 employees who own a red car, how many employees own a
black car? *
Answer:
There would be 30 black cars.
Since the ratio is 1:5
And we know that there are 6 red cars,
we basically just input it in our ratio
so it would look like 6:x
Now, we just have to plug in for x.
To do that, you have to multiply 6 by 5
To match the ratio.
So that would give us 6:30
And if we divide by 5 we should get our original ratio.
I know this seems confusing haha, but I hope you get it, it's not as hard as it looks !!
i need help please
Answer:
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Step-by-step explanation:
jgvkhjjhgdjfgkh
Two towns that are 31.5 km apart are 3 cm apart on a map. What is the scale of the map?
A. 1 cm = 29.5 km
B. 1 cm = 9.5 km
C. 1 cm = 10.5 km
D. 1 cm = 15.5 km
Answer:
3 cm on the map represents 31.5 km in reality.
3cm : 31.5 km
1cm : 31.5/3 km
1cm : 10.5km
So the scale on the map is 1cm represents 10.5 km.
TIME REMAINING
41:17
What is the value of
due of (3-54(2)-16-2?
040
-16
ООО
24
56
Sigr
Answer:
700th
Step-by-step explanation:
vhzjjb zetas CD kinda cos dsuskskxn BBC bxhxjcjjdjdjjcfjjfjfjbdhduudjthfhhff&hdjdjjff#jfjjffj#
#enaa garntiii
Write an equation in slope-intercept form for the line shown in the graph.
Answer:
y=2x-2
Step-by-step explanation:
(2,2), (3,4)
4-2=2
3-2=1
2/1
Answer:
y = 2x - 2
Step-by-step explanation:
In the formula for a line, y = mx + b,
The slope, or m, is 2 because this line goes up 2 units and right 1 unit. The y-intercept, or b, is -2 because the line touches the y-axis at -2.7-3x=x-4(2+x) please help with work
Answer:
7-3x=x-4(2+x)
7-3x=x-8-4x
7-3x-x=-8-4x
7-4x=-8-4x
-4x+4x=-8-7
0 =-15
=-15/0
=0
The table shows the cost in dollars, y, for shipping x number of chargers and electronic tablets.
Which function shows the combined cost in dollars, y, for three shipments with x number of chargers and tablets?
y = 2.00x + 4.00
y = 6.00x + 12.00
y = 3.50x + 2.50
y = 10.50x + 7.50
please help
.-. I need your help .-.
Answer:
D
Step-by-step explanation:
Which of the following is the most likely the next step in the series ?
Answer:
I believe the likely awnser is c because it is adding one more side on each step.
A pizzeria's gains and losses for 3 months are: $627, -$480, and $854. What is the pizzeria's total profit or loss after 3 months?
A. $1961
B. $147
C. $374
D. $1001
Answer:
1001
Step-by-step explanation:
Answer:
$1001
Step-by-step explanation:
$627 -$480 + $854 = 1001$
Please, help me with my homework! Thank you!
Answer:
i think (17)
Step-by-step explanation:
The perimeter of this compound shape (17) when you add up the sides and find the answer to the missing side.
Today, there were 3 students absent from the math class. Each students that attended school solved 17 equations in math class. At the end of the class the teacher told the students that together they solved 408 equations today. How many students are this class if no one is absent?
Answer:
27 studentsStep-by-step explanation:
Number of students present in the math class:
408/17 = 24Number of students in this class:
24 + 3 = 27Rina’s recipe uses 2 cups of sugar to make 2 ½ dozen cookies. Jonah’s recipe uses 2 ¼ cups of sugar to make 3 dozen cookies. Which recipe uses more sugar for a dozen cookies? Why?
Answer:
Let's calculate the "cups of sugar per dozen cookies" ratio:
2 cups
---------- = 0.8 (Rina)
2.5
2.25 cups
------------- = 0.75 (Jonah)
3
Rina uses more sugar for a dozen cookies.
Your budget is $60 for Chipotle each month, which you go out to at least twice week. Each meal is $7. How much money is left in your budget after you have eaten at Chipotle eight times this month. Would you have money left over to get guacamole (at least once during the month) for $1.80.
Answer:
Step-by-step explanation:
Gjbvhobcfu
Answer:
I cannot see the question
Step-by-step explanation:
Joe paid $14.00 for a board game. This is 70% of the original price. What was the original price?
Answer:
69.99
Step-by-step explanation:
Answer:
23.80
Step-by-step explanation:
A meal has 408 calories in 8 serving find the unit rate. ANSWER PLEASE DUE TONIGHT
Answer:
51
Step-by-step explanation:
408/8= 51
(its that simple)
what is the area of a circle if the diameter is 6 in
Answer:
28.27 in²
Step-by-step explanation:
Since Area = π times r²
And 2
r = Diameter
As Diameter = 6
r = 3
Area = π x 3²
= π x 9
= 28.27 in²
+
+
+
b
a
0
C
All of the following statements are all true except
The quotient of a and b is positive.
The quotient of O and cis O.
The quotient of cand bis negative.
The quotient of O and a is undefined.
Answer:
4. The quotient of 0 and a is undefined.
Step-by-step explanation:
Let's examine each statement to see which is true or untrue.
✔️Statement 1:
a is a negative number. b is also a negative number. A negative number dividing another negative number would give us a positive number. That is the quotient of a and b would be positive.
Statement 1 is true.
✔️Statement 2:
Dividing 0 by any number would always give us 0. Therefore the quotient of 0 and c would be 0.
Statement 2 is correct.
✔️Statement 3:
c is a positive number. b is negative number. Positive divided by negative = negative.
Statement 3 is correct.
✔️Statement 4:
Dividing 0 by any number would give us a quotient of 0.
Statement 4 is incorrect. It is incorrect because ⁰/a = 0. But a/0 = undefined.
A solid metal cube 8 cm on each side is melted and recast
into a solid cylinder with radius 10 cm. What is the height
of the cylinder?
A track team ran 8 and 3/4 miles (mi) in 5 days. If they ran the same distance each day, how far did they run in one day?
Answer:
1.75
Step-by-step explanation:
First I converted
8 3/4 to 8.75
then I divided
8.75 / 5
= 1.75
The team ran 1.75 miles each day if they ran the same distance each day.
What is the division operation?
In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
A track team ran 8 and 3/4 miles (mi) in 5 days.
To find out how far the track team ran in one day, you need to divide the total distance run by the number of days.
8 and 3/4 miles = 8.75 miles (by converting mixed numbers to decimal)
total distance = 8.75 miles / 5 days
Apply the division operation, and we get
total distance = 1.75 miles/day
Therefore, the team ran 1.75 miles each day.
To learn more about the division operation click here :
brainly.com/question/25870256
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