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
Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Jackson’s distance from home over time.
Answer:
For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.
Then he stops for 20 minutes, we will represent this with a constant line.
Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.
A sketch of this situation can be seen below.
Solve the system, enter ur answer as an ordered triple.
Answer:
x = 1, y = -1, z = 3
Step-by-step explanation:
x - 2y + 2z = 9
y + 2z = 5
z = 3
According to the last equation, z is equal to 3 so we can plug that in and our new 2 equations will be:
x - 2y + 6 = 9
y + 6 = 5
We can subtract 6 from both sides of the second equation to end up with:
y = -1
Now plugging this into the first equation, we have:
x + 2 + 6 = 9
x + 8 = 9
Subtract 8 from both sides
x = 1
3x + y = 15 What is the solution of this system of equations? (5x+2y=-4
Answer:
x=34 y=-87 (34,-87)
Step-by-step explanation:
3x+y=15 rewrite to solve for y -----> y=15-3x
5x+2y=-4
Plug y=15-3x into 5x+2y=-4
So, 5x+2 (15-3x)=-4
Distribute: 5x+30-6x=-4
Combine like terms: 30-x=-4
Solve for x -x=-34
Solve for x x=34
Then, to solve for y, plug "x" into 3x+y=15
So, 3(34)+y=15
Distribute: 102+y=15
Solve for y y=-87
If you are buying at item at a store for a price of $72, and there is a 6.2% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
Sale Tax($): 4.5
Step-by-step explanation:
Before Tax Price ($): 72
Tax Rate (%): 6.2
Final Price Including Tax ($): 76.46
Sale Tax($): 4.46
Answer:
76.46
Step-by-step explanation:
IM SO DUMB PLS HELP ME I THINK THIS IS ALGEBRA I DONT KNOW??
Answer:
#1 350 trees
#2 10 people
Step-by-step explanation:
help lol i need good help-
Answer:
with what
Step-by-step explanation:
I’m being dumb rn but I need help with this-.-
2.03 is the answer to this question, unless I'm dumb too
Answer:
2.03
:) have a nice day
Step-by-step explanation:
6.258 rounded to the nearest hundredth
Answer:
6.26
Step-by-step explanation:
Integer Part: 6
Fractional Part: 258
If the last digit in the fractional part of 6.258 is less than 5, then simply remove the last the digit of the fractional part.
If the last digit in the fractional part of 6.258 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.
If the last digit in the fractional part of 6.258 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.
If the last digit in the fractional part of 6.258 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00.
With 6.258, rule B applies and 6.258 rounded to the nearest hundredth is 2.26
Start with n and subtract 6
Answer:
n-6
Step-by-step explanation:
Expand.
Your answer should be a polynomial in standard form.
(b^2 + 4b + 4 )(-b+3)=
(b2+4b+4)(-b+3)
(b2)(-b)+(b2)(3)+(4b)(-b)+(4b)(3)+(4)(-b)+(4)(3)
-b3+3b2-4b2+12b-4b+12
-b3-b2+8b+1
percent change of 14 books to 40 books
Answer:
185.714285714%
A change from 14 to 40 represents a positive change (increase) of 185.71428571428572%
Help me quickkkk please
Answer:
with? i dont see any pic
Sweater originally mart $60 is on sale for 25% off how much can you save by buying a sweater on sale
Answer:
you save $12 by buying the sweater on sale
Step-by-step explanation:
Alatio is used to make comparisons between 2 quantities.
O True
O False
Answer: True
Step-by-step explanation:
Jack plots points showing equivalent ratios on the coordinate plane above.
which ordered pair if plotted above would represent a ratio that is equivalent to those shown?
Answer:
(4,18)
Step-by-step explanation:
it would fit right into the line. i hope this helps.
1. - 2(x + 11) = -18
Answer:
x = - 2
Step-by-step explanation:
Step 1:
-2 ( x + 11 ) = - 18 Equation
Step 2:
- 2x - 22 = - 18 Multiply
Step 3:
- 2x = 4 Add 22 on both sides
Step 4:
x = 4 ÷ - 2
Answer:
x = - 2
Hope This Helps :)
-15= x/-0.5 8= what does x equal
using powers of 10, which would be the best choice for the first number to subtract in the division problem 4860/15?
Answer:
150
Step-by-step explanation:
I hope I'm right
1. What is the solution of n^2-49=0?
a.-7
b.7
c.+7
d. no solution
2.What is the solution of x^2+64=0?
a.-5
b.8
c.+8
d.no solution
3.What is the side length of a square with an area of 144x^2?
a.12
b.12x
c.+12x
d.no solution
4.What is the value of z so that -9 and 9 are both solutions of x^2+z=103?
a.-22
b.3
c.22
d.184
Answer:
it would be d for #1 because it has no solution for the question
Each of Liam's neighbors pays him the same amount for walking one of their dogs. Last week, he earned $25 for
walking 4 of his neighbors' dogs. Which graph below best represents the linear relationship between x, the number of
dogs Liam walks, and y, the total amount of money he earns for walking them?
Answer:
The options are not shown, but we can craft the graph so you can find the one that matches it.
We know that:
Each neighbor pays the same, let's define this amount as A.
Last week, he walked 4 dogs, then the amount that he collected must be four times A, or:
4*A
And we know that this amount is $25, then:
4*A = $25
A = $25/4 = $6.25
Then we can write the relationship:
y = $6.25*x
where:
y = money that Liam earns.
x = number of dogs Liam walks.
The graph of this line is shown below.
b. y =
Choose the equation for the graph
below.
2x-6
a. y =
x+4
3
4x+8
5x+10
C. y =
x²-1
–3x²
2x+6
- 2x2
e. y =
x²_9
d.y=
Answer:
2 4 23
Step-by-step explanation:
58 = k + 6 show work if u can
Answer:
[tex]k = 52[/tex]
Step-by-step explanation:
Isolate k:
[tex]58 - 6 = k + 6 - 6[/tex]
solve for k:
[tex]k = 52[/tex]
Answer:
The answer is 52. Like it says move everything to one side
If a household appliance has a wattage of 7,043 and is in use for 9 hours, how much CO2 was produced? Round to 1 decimal.
Answer: = 62.8 pounds of CO₂
Step-by-step explanation:
1 kilowatt per hour produces 0.99 pounds of C02.
The total wattage in hours used was;
= 7,043 * 9 hours
= 63,387 watts
In kilowatts;
= 63,387/1000
= 63.387 kilowatts
CO2 produced;
= 63.387 * 0.99
= 62.75313
= 62.8 pounds of CO2
solve each system by graphing.
In triangle ABC, angle A is 35 and angle b is 20 select all triangle which are similar to triangle ABC.
Answer:
The similar one are 1 and 5
A. Triangle DEF where ∠D is 35° and ∠E is 20°.
C. Triangle JKL where ∠J is 35° and ∠L is 125°.
D. Triangle MNO where ∠N is 20° and ∠O is 125°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles of a triangle is equal to 180°.
Given, A triangle ABC has ∠A = 35° and ∠B = 20°.
∴ ∠C = 180° - 35° - 20°.
∠C = 125°.
Triangle will be similar if every corresponding angle of different triangles has the same measure.
So, Triangles that are similar to triangle ABC is triangle DEF where ∠D is 35° and ∠E is 20°.
Triangle JKL where ∠J is 35° and ∠L is 125°.
Triangle MNO where ∠N is 20° and ∠O is 125°.
learn more about triangles here :
https://brainly.com/question/2773823
#SPJ2
Is the following relation a function?
Yes
No
Answer:
.....yes
Step-by-step explanation:
Caroline buys a plant from the store that is 12 cm tall.
Every week, the plant grows 2 cm.
Let heheight of the plant and w=weeks.
Click "show your work" and complete all of the tasks in
the whiteboard
Answer:
Height in w week = 12 + 2w
Step-by-step explanation:
Given:
Height of plant = 12 cm
Rate of plant growth = 2 cm per week
Find:
Equation
Computation:
Height in w week = Height of plant + (Rate of plant growth)(Number of week)
Height in w week = 12 + (2)(w)
Height in w week = 12 + 2w
Help me please *an image is attached*
13.
WRITE Math Write a word problem that involves two fractions.
Include the solution.
Please help fast
Answer: If you have 2/3 cup of water and 3/5 cup of oil, how huch liquid do you have in total?
1 and4/15
Step-by-step explanation:
if a dinosaur has a mass of 55g, what is his density
Answer:
32ounces I think
Step-by-step explanation:
