Answer:
s= -1.5t + 18
Step-by-step explanation:
The Equation to represent the depth of snow is s= -1.5t + 18.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
We learn from the question that the snow's depth is s and that it takes hours to melt the snow.
The amount of snow is 12 inches deep after 4 hours of melting.
Now, keep in mind that the melting rate is 1.5 inches per hour.
and, 1.5 x 4 = 6 inches of snow will have melted in the four hours.
Thus, the initial snow depth will be 6 + 12 = 18 inches.
Hence, the Equation to represent the depth of snow is s= -1.5t + 18.
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Michael rents a car for one day. The charge is $30 plus the $0.12 per mile. He wants to spend exactly $105. How many miles can he drive?
Answer:
He can drive 625 miles
Step-by-step explanation:
Total spent: $105
$105- $30 charge = $75
$75/$0.12 per mile charge
= 625 Miles
Courtney walks 3 laps around a 3-mile track. [1 mile is 5280 feet]. How far does she walk?
Answer:
9 miles, or 47520 feet :)
Step-by-step explanation:
Answer:
47520
Step-by-step explanation:
3x3=9
5280*9=47520
Which graph represents this system?
2x-5--5
y-3x+1
can't see the graphs....
please edit the picture if u can.
PLZZZZZZ HELP MEEEEE? Simplify l -10l-l8l+4 A.7 B.4 C.5 D.6
Answer:
D. 6
Step-by-step explanation:
Simplify: 10 - 8 + 410 - 8 = 2Plug 2 in: 2 + 42 + 4 = 6I hope this helps!
Olivia and her family are planning a vacation that involves water skiing. Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 an hour to rent the boat.
Complete the table to determine the total cost for 1, 2, 3, and 4 hours.
Answer:
Step-by-step explanation:
Let the number of hours used to rent the boat be represented by h.
Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:
= $20.50 + $12.25h
where h = number of hours used.
The cost for 1 hour will be:
= $20.50 + $12.25h
= $20.50 + $12.25(1)
= $20.50 + $12.25
= $32.75
The cost for 2 hours will be:
= $20.50 + $12.25(2)
= $20.50 + $24.50
= $45
The cost for 3 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(3)
= $20.50 + $36.75
= $57.25
The cost for 4 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(4)
= $20.50 + $49
= $69.50
=
Please help quickly!
Answer:
A
Step-by-step explanation:
You are subtracting 2 from y every step.
I need help please it’s due in a couple of minutes
Answer:
1. 16=v top left
2. n=5.8 bottom left
3. n= -31.9 top right
4. b= 6 . bottom right
If I am wrong I am sorry
A square with sides of length eight units, sits on a graph with its lower left hand corner at the origin (0,0). This square is translated five units up, and seven units left. What are the coordinates of the upper right hand corner after translation? Explain.
PLEASE HELP ME ON THIS QUESTION. I don’t understand. Only answer if you know because you will receive consequences with monitor.
Answer:
The coordinates of the upper right hand corner after translation is (1, 13)
Step-by-step explanation:
Let us revise the rules of translation
If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y) ⇒ T (x , y) → (x + h , y) If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y) ⇒ T (x , y) → (x - h , y) If the point (x , y) translated vertically up by k units then its image is (x , y + k)→ (x + h , y) ⇒ T (x , y) → (x , y + k) If the point (x , y) translated vertically down by k units then its image is (x , y - k) ⇒ T (x , y) → (x , y - k)At first let us find the upper right hand corner of the square
∵ Its lower left hand corner at the origin (0,0)
∵ The length of each side of the square is 8 units
→ To find lower right hand corner add 8 to the x-coordinate of the
lower left hand corner
∴ The lower right hand corner = (0 + 8, 0)
∴ The lower right hand corner = (8, 0)
→ To find upper right hand corner add 8 to the y-coordinate of the
lower right hand corner
∴ The upper right hand corner = (8, 0 + 8)
∴ The upper right hand corner = (8, 8)
Now Let us find the image of this corner after translation
∵ This square is translated five units up
→ Use the 3rd rule above
∴ Add 5 to the y-coordinate of the point (8, 8)
∴ Its image = (8, 8 + 5)
∴ Its image = (8, 13)
∵ The square is translated seven units left
→ Use the 2nd rule above
∴ Subtract 7 from the x-coordinate of the point (8, 13)
∴ Its image = (8 - 7, 13)
∴ Its image = (1, 13)
The coordinates of the upper right hand corner after translation is (1, 13)
What is the price of one cookie?
Answer:
$3 for one cookie
Step-by-step explanation:
Divide 18 by 6
HELP !!
To find the measure of zA in triangle ABC, use the ____. To find the length of the side HI in triangle HIG, use the ____.
First blank:
1. Pythagorean theorem
2. Law of sines
3. Law of cosines
Second blank:
1.Pythagorean theorem
2. Law of sines
3. Law of cosines
Answer:
blank A->(Law of cosines)
blank B->(Pythagorean theorem/theory)
Step-by-step explanation:
Reason to get the correct measurement's of angles in a figure you must apply Cosines or Law of Cosines(same thing) which simply means angle edges
and to get the measurements of the angles length use the Pythagorean theorem which is (a²+b²=c²)
Hope I was helpful in any way thanks and sorryAnswer:
First drop down menu answer is Option 3
Second drop down menu is Option 1
Step-by-step explanation:
Tomas and Kyle each bought a shirt at the school store. Tomas gave the cashier a $20 bill and received $6.15 in change. Kyle gave the cashier a $10 bill and received $1.06 in change. Which statement about the cost of the shirts is true? Tomas's shirt costs $5.09 more than Kyle's shirt. Kyle's shirt costs $5.09 more than Tomas's shirt. Tomas's shirt costs $4.91 more than Kyle's shirt. Kyle's shirt costs $4.91 more than Tomas's shirt.
Answer:
The answer is C
Step-by-step explanation:
I took the test
Answer:
It is C
Step-by-step explanation:
The lowest temperature ever recorded on Earth was $-89.2\degree\text{C}$ at Soviet Vostok Station in Antarctica. The highest temperature ever recorded was $56.7\degree\text{C}$ at Greenland Ranch in California. What is the difference between the highest and lowest recorded temperatures?
Answer:
145.9°C
Step-by-step explanation:
Given that :
Lowest temperature recorded (Soviet Vostock station Antarctica) = - 89.2°C
Highest temperature recorded (Greenland Ranch California) = 56.7°C
Difference between the highest and lowest recorded temperature :
(Highest temperature - lowest temperature)
(56.7°C - (-89.2°C))
= 56.7°C + 89.2°C
= 145.9°C
Solve the equation.
8 - 2x = -8x + 14
O x= -1
O x=
5
3
O x
O x= 1
Answer:
x = 1
Step-by-step explanation:
8 - 2x = -8x + 14
-2x + 8x = 14 - 8
6x = 6
x = 1
x=1 is the solution of the equation 8 - 2x = -8x + 14
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 8 - 2x = -8x + 14
x is the variable in the equation
Plus and minus are the operators
We have to solve for x
Take the variable terms one side and constants on other side
8x-2x=14-8
6x=6
Divide both sides by 6
x=1
Hence, x=1 is the solution of the equation 8 - 2x = -8x + 14
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If the sum of first 7 terms of an A.P is 49 and the sum of first 17 terms is 289 find the sum of first 30 term
Sum of first 7 terms of an AP = 49.
Sum of first 17 terms = 289
Find:the sum of first 30 term
Solution:We know that,
Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]
Hence,
→ 7/2 * [ 2a + (7 - 1)d ] = 49
→ 2a + 6d = 49 * 2/7
→ 2( a + 3d ) = 14
→ a + 3d = 14/2
→ a + 3d = 7 -- equation (1)
Similarly,
→ 17/2 * [ 2a + 16d ] = 289
→ 17/2 * 2 * (a + 8d) = 289
→ a + 8d = 289 * 2/17 * 1/2
→ a + 8d = 17 -- equation (2)
Subtract equation (1) from (2).
→ a + 8d - (a + 3d) = 17 - 7
→ a + 8d - a - 3d = 10
→ 5d = 10
→ d = 10/5
→ d = 2
Substitute the value of d in equation (1).
→ a + 3 * 2 = 7
→ a = 7 - 6
→ a = 1
Now,
Sum of first 30 terms = 30/2 * [ 2(1) + (30 - 1)(2) ]
→ S(30) = 15 (2 + 58)
→ S(30) = 15 * 60
→ S(30) = 900
Therefore, the sum of first 30 terms of the given AP is 900.
I hope it will help you.
Regards.
answer refer in pic siso
Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below. StartFraction 28 feet minus 7 over 14 feet minus 7 EndFraction = StartFraction 21 over 7 EndFraction Which is Zelie's error?
Answer:
Step-by-step explanation:
Find the complete question
Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below.
Which is Zelie’s error?
Zelie should have divided both numbers by 14.
Zelie should have written the ratio as 28/7.
Zelie should have written the ratio as 14/8.
Zelie should have subtracted 14 from both numbers.
Original length of pool = 28ft
If he found that it need to be 14ft longer then the actual measure = 14th
given equation is;
(28 - 7)/14 - 7 = 14/7
Scale constant = original length/actual length
Scale constant = 28/14
Scale constant = 2
Hence the scale constant is 2
According to the option, Zelei should have divided both numbers by 14.
Answer:
Zelei should have divided both numbers by 14
Step-by-step explanation:
Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3 segment AC over segment A double prime C double prime = 2 segment A double prime C double prime over segment AC = one half segment AC = segment A double prime C double prime over 2
Answer:
segment AC is equal to A''B'' over 2
Step-by-step explanation:
Given that,
Scale factor = 2
The coordinates of A is (-3,3)
The coordinates of B is (1,-3)
The coordinates of C is (-3,3)
We know that, the ratio of length of new segment to the length of segment of original figure is called scale factor.
So.
[tex]\dfrac{A''B''}{AC}=2\\\\\text{On cross multiplying,}\\\\AC=\dfrac{A''B''}{2}[/tex]
It means, segment AC is equal to A''B'' over 2 is the correct answer.
What is the slope of the given lines?
Answer:
hey theres no image?? maybe comment on this so i can help you answer it :)
In 2019-2020, North Carolina spent $10,632 per student. The per-pupil spending has decreased at 6% per year. If this continues, what will be the per-pupil spending in 4 years?
Answer:
The per-pupil spending will be approximate $8,300 in 4 years
Step-by-step explanation:
Exponential Model
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the current quantity.
An exponential decaying function is expressed as:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The statistics of the years 2019-2020 at North Carolina indicate initial spending of Co=10,632 per student. The decaying rate is r=6% = 0.06 per year, thus the exponential model is:
[tex]C(t)=10,632\cdot(1-0.06)^t[/tex]
[tex]C(t)=10,632\cdot(0.94)^t[/tex]
where t is expressed in years.
We are required to know the expected spending for t= 4 years. Substitute t=4:
[tex]C(t)=10,632\cdot(0.94)^4\approx 8,300[/tex]
The per-pupil spending will be approximate $8,300 in 4 years
help ASAP please will give BRAINLIEST
A car goes from 16 m/s to 2 m/s in 3.5 s. What is the car’s acceleration? SHOW WORK
Answer:
acceleration = -4m/s^2
Step-by-step explanation:
Aceleration = (Final speed - Initial speed)/time
In this case, acceletarion = (2 - 16)/3.5 = -14/3.5 = -4
acceleration = -4m/s^2
For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
-5(-2) =
Answer:
I think the answer you are looking for is 10.
Step-by-step explanation:
-5 x -2 = 10
Chen rode his skateboard 334 miles in 34 of an hour.
What was his average speed in miles per hour?
_[blank]_ miles per hour
you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimum number of bricks will you need to occupy this area
Answer:
1800 bricks
Step-by-step explanation:
Given
[tex]Sidewalk = 100ft\ by\ 4ft[/tex]
[tex]Brick = 8 in\ by\ 4 in[/tex]
Required
Calculate the minimum bricks needed
To start with, we calculate the area of sidewalk
[tex]Sidewalk = 100ft * 4ft[/tex]
[tex]Sidewalk = 400ft^2[/tex]
Next, we calculate the area of sidewalk
[tex]Brick = 8in * 4in[/tex]
[tex]Brick = 32in^2[/tex]
Divide area of sidewalks by area of bricks to give number of bricks
[tex]Number = \frac{Sidewalk}{Brick}[/tex]
[tex]Number = \frac{400ft^2}{32in^2}[/tex]
Convert units ([tex]ft^2[/tex] to [tex]in^2[/tex])
[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]
[tex]Number = \frac{57600in^2}{32in^2}[/tex]
[tex]Number = 1800[/tex]
Corey is 6 feet tall. There are 2.54 centimeters in 1 inch. What is corey’s height in centimeters
Answer:
He is 182.88 cm tall
Step-by-step explanation:
6×12= 72
72×2.54= 182.88
The art class lasts 90 minutes. The teacher explains the project for 25 minutes and allows 15 minutes for questions and discussion. He talks to each student about their project for 5 minutes and then all of the class time is used up. Write and evaluate the expression that shows how many students are in the class.
Answer:
dunno if you still need this but the answer is (90-25-15)÷5
Step-by-step explanation:
Find x and y. Give reasons to justify your solution.
Answer:
122
Step-by-step explanation:
Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of $5 from each of the subscribers to his website. The website had 200 subscribers last month. This month 40 new members joined the website and 10 members cancelled their subscription. How much money did Adriano’s online business earn this month
Answer: 1150
Step-by-step explanation: 200 + 40 - 10 x 5 = 1150
200 + 40 = 240
240 - 10 = 230
230 x 5 = 1150
Raul has 50 coupon books to sell.
The total amount of money Raul will make from selling X coupon books is represented by a function.
f(x)=20x
What is the practical domain of the function?
Answer: Domain: {x : 0≤ x ≤50 }
Step-by-step explanation:
Given: The total amount of money Raul will make from selling X coupon books is represented by a function.
[tex]f(x)=20x[/tex]
Domain is the set of x values in a function for which it is defined.Here, X= Number of coupon books .
Raul has 50 coupon books to sell.
So, 0≤ x ≤50 , as it is possible that non of that book will sell.
Hence, Domain: {x : 0≤ x ≤50 }
what is 64x64? and I know if you use a calculator =)
Answer:
4096
Step-by-step explanation:
At a local store, bananas cost 0.54 per pound , apples cost 2.19 per pound , and oranges cost 1.55 per pound . Aaron bought 3 pounds of each how much money did Aaron pay for his fruit
$0.54 x 2.6 =$1.404
$1.28 x 3.1=$3.968
$1.404 rounds to $1.40
$3.968 rounds to $4
$4 = $ 1.40 = $5.40
:)
Answer:
$12.84
Step-by-step explanation:
to solve this you will just have to multiply the given prices by the three pounds and then add up all the fruits:
0.54 x 3 = 1.62
2.19 x 3= 6.57
1.55 x 3= 4.65
1.62 + 6.57 + 4.65 = 12.84
Solve for x:
14x - 8 = (-10) - 10x
Answer:
x= -1/12
Step-by-step explanation: