A rollercoasterbrises 210 feet into the air, drops 240 feet, rises 80 feet before dropping another 30 feet again. Finally the rollercoaster drops another 50 feet. What is the height of the rollercoaster after the last drop​

Answers

Answer 1

Answer:

-30 feet

Step-by-step explanation:

What we know:

The rollercoaster first rose 210 feet, so after rise 1, the height is +210 feet.

After that, it dropped 240 feet. This is greater than the 210 feet it initially rose, so the number is now negative. The height is now -30 feet.

210 - 240 = -|240-210| = -|30| = -30 feet

After that, it rose another 80 feet. That outdoes the eariler -30 feet, so we're back to a positive height. After that rise, the height is now +50 feet.

-30 + 80 = |80 - 30| = |50| = 50 feet

Then the last two drops combine for a 80-foot drop. This is greater than the +50-foot height it was at, so we're back at -30 feet.

50 - 80 -|80 - 50| = -|30| = -30 feet after the last drop


Related Questions

9,562.413 in word form

Answers

Answer:

Step-by-step explanation:

nine thousand five hundred sixty two thousand four hundred thirteen.

A restaurant raises its price for the salad bar 20%. If the original price was $7. What is the markup? What is the new price?

Answers

Answer:

Markup: $1.40

New price: $8.40

Step-by-step explanation:

20% of $7.00 is $1.40

$1.40 + $7.00 is $8.40

Which ordered pair is a solution of the equation -1/4x+6=y

Answers

Answer:

(2,1) because if you plug in 2 for for X you get 4 if you plug in 1 for y you get 6, 4 + 6 is equal to 10

Step-by-step explanation:

Answer: it's definitely not A(4,7) because you would get -1/4x+6=y

Step-by-step explanation:

if you try every single way of creating an equation nothing will come up

Find the 52nd term of the arithmetic sequence-8, -12, -16,...

Answers

Answer:

-212

Step-by-step explanation:

This question seems to be incrementing by steps of -4, starting at -8.  To get the 52'nd term, we can simply start at the first term and add that -4 51 more times.

Assuming that negative eight is the first term then, we get:

-8 - 4 * 51

= -8 - 204

= -212

The 52nd term of the sequence will be -212.

What is a sequence?

A sequence of events or things is a number of events or things that come one after another in a particular order.

Given a sequence, -8, -12, -16,...

nth term of a sequence is given by

an = a + (n-1)*d

a(-212) = -8 + (52-1)*-4

a(-212) = -8-204

a(-212) = -212

Hence, The 52nd term of the sequence will be -212.

For more references on sequences, click;

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Arrange the equations in increasing order of the value of their solutions.
1/4x + 5/2x - 2 = 4 - 1/4x
7.9x + x + 4 = 1.1x - 16
3.2x + 5.7 = -2.5x
10.1x - 1.6x + 44 = -7

Answers

Answer:

The answer is below

Step-by-step explanation:

a)

1/4x + 5/2x - 2 = 4 - 1/4x

collecting like terms:

(1/4)x + (5/2)x + (1/4)x = 4 + 2

3x = 6

x = 6/3

x = 2

b)

7.9x + x + 4 = -1.1x - 16

collecting like terms:

7.9x + x + 1.1x  = - 16 - 4

10x = -20

x = -2

c)

3.2x + 5.7 = -2.5x

collecting like terms:

3.2x + 2.5x = 5.7

5.7x = 5.7

x = 1

d)

10.1x - 1.6x + 44 = -7

collecting like terms:

10.1x - 1.6x = -7 - 44

8.5x = -51

x = -6

Hence the equations in increasing order of the value of their solutions is:

10.1x - 1.6x + 44 = -7

7.9x + x + 4 = -1.1x - 16

3.2x + 5.7 = -2.5x

1/4x + 5/2x - 2 = 4 - 1/4x

Analyze the diagram below and complete the instructions that follow.

Photo by Stahlkocher

If the angle between each blade of the wind turbine is the same and each blade has a length of 30 meters, find the distance between the tips of two blades. Round the answer to the nearest hundredth, if necessary.

A.
30 meters
B.
42.43 meters
C.
51.96 meters
D.
120 meters

Answers

Answer:
D

Explanation: All triangles must equal to 180, so we can say that st=ut and that will give us 60 all we have to do now is add 120.

what is the mean absolute deviation of 6 2 8 4 8 6 8 8

Answers

The mean of the data is 6.25. Then the mean absolute deviation of the data will be 1.75.

What is the mean absolute deviation?

It is the average distance between each data point and the mean. Then the mean absolute deviation is given as,

[tex]\rm MAD = \dfrac{\Sigma _{i = 1}^n|x_i - \mu|}{n}[/tex]

The data is given below.

6, 2, 8, 4, 8, 6, 8, 8

The mean of the data will be given as,

μ = (6 + 2 + 8 + 4 + 8 + 6 + 8 + 8) / 7

μ = 50/8

μ = 6.25

Then the mean absolute deviation of the data will be given as,

MAD = (|6 - 6.25| + |2 - 6.25| + |8 - 6.25| + .... + |8 - 6.25|) / 8

MAD = (0.25 + 4.25 + 1.75 + 2.25 + 1.75 + 0.25 + 1.75 + 1.75) / 8

MAD = 14 / 8

MAD = 1.75

More about the mean absolute deviation link is given below.

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There are 516 calories in six ounces of a certain ice cream. How many calories are there in one pound?

Answers

Answer:

86 calories per pound

Step-by-step explanation:

516/6 = 86

There are 86 calories in one pound of ice cream

pls help 7th grade math. what is the value of (-4)^2+6÷(3+4)(2)-5?

A Disney world

B the legend of zelda breath of the wild

C Christmas tree

D ELMER'S glue ​​

Answers

Answer:

a carrot

Step-by-step explanation:

(-4)^2+6÷(3+4)(2)-5? x 2 +1(2) x 8 equals carrot

Answer:

Mario odyssey

Step-by-step explanation:

HELP ASAP PLEASE OMG PLEASE HELP ME

Answers

Answer:

AB = 4

[tex]m\angle E=30^\circ[/tex]

Step-by-step explanation:

Similar shapes

Two figures are similar if the ratios of the lengths of their corresponding sides are equal. The corresponding angles are also congruent.

Being ABCD and EFGH similar, the ratio of the lengths of AB and EF is equal to the ratio of the lengths of AD and EH, thus:

[tex]\displaystyle \frac{AB}{EF}=\frac{AD}{EH}[/tex]

Solving for AB:

[tex]\displaystyle AB=\frac{AD}{EH}\cdot EF[/tex]

Since AD=6, EH=1.5, and EF=1:

[tex]\displaystyle AB=\frac{6}{1.5}\cdot 1[/tex]

AB = 4

Since angle A is congruent to angle E:

[tex]m\angle E=m\angle A[/tex]

[tex]\mathbf{m\angle E=30^\circ}[/tex]

The Holcombe family went out to dinner

The meal cost $54.65.

The sales tax is 8% of the meal.

The tip was 18% of the meal and tax

There are 5 people in the Holcombe family


What was the cost per person for the meal, including sales tax and tip?

Answers

Answer:

$13.77 per person in the family

Step-by-step explanation:

Cost of the meal = $54.65

Sales tax rate = 8%

Sales tax amount = 8% of $54.65

= 8/100 × 54.65

= 0.08 × 54.65

= $4.372

Tip = 18% of $54.65

= 18/100 × 54.65

= 0.18 × 54.65

= $9.837

Total cost of the dinner = Cost of the meal + Sales tax amount + Tip

= $54.65 + $4.372 + $9.837

= $68.859

There are 5 people in the Holcombe family

What was the cost per person for the meal, including sales tax and tip?

cost per person for the meal, including sales tax and tip = Total cost of the dinner / total number of people in the family

= $68.859 / 5

= $13.7718

Approximately

$13.77 per person in the family

PLEASE HELP!!!! WILL GIVE BRAIN I PROMISE.

Answers

Answer:

No, they are not inverses.

Step-by-step explanation:

To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:

(Remember that f(x)/g(x) and y are virtually the same)

y = -4x + 2

Switch x and y

x = -4y + 2

Now solve for y

x - 2 = -4y

[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]

Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.

I hope this helps!!

- Kay :)


If B = -9 and C = 2x+5+5x², find an expression that equals 2B + 2C in
standard form.
?

Answers

The expression that equals 2B + 2C in standard form of equation  is.

  [tex]4x^2 + 8x +16[/tex]

What is standard form of a equation?

Calculations

2 (3x - 1) + 2 (2x^2 + x + 9)

6x - 2 + 4x^2 +2x + 18

[tex]4x^2 + 8x +16[/tex]

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). When attempting to solve systems involving two linear equations, this form is also quite helpful.

Standard form refers to any number that may be expressed as a decimal number between 1.0 and 10.0 when multiplied by a power of 10.

To learn more about standard form of a equation from the given link:

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Need HELP WITH THESE LAST 3 RUNNING OUT OF TIME

Answers

Answer:

A. 3 bags of popcorn

F. $12.25

G. 6 bags of popcorn

Heya, I hope this helped you! If you divide 3.5 by 2, it is $1.75 for each bag of popcorn. I hope this helped! <3

Answer: A. Murderer bought three bags

F. $21.00

G. 6 bags

Step-by-step explanation:

divide 3.50 by 2 gives you 1.75 and 1.75+3.50= 5.25 which is the total spent.

1.75 x 6 is equal to 10.50 and 12.82-2.32= 10.50

Help me asap with this math problem!!

Answers

Answer:

Move it to the [tex]\frac{-1}{2}[/tex] point

Step-by-step explanation:

Two minus makes one plus.

D = -[tex]\frac{1}{2}[/tex]

-(-D) = +(-[tex]\frac{1}{2}[/tex])

       = -[tex]\frac{1}{2}[/tex]

       = [tex]\frac{-1}{2}[/tex]

6 + -1/4 plllllllllllllssssssss helppppppppppp i am tooo dummmmmmmmm

Answers

Answer:

5 3/4

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

5 3/4

Step-by-step explanation:'

adding a negative number is just subtracting

Write a division expression that represents each model.

Answers

Answer:

please help help me me my question

Help! I’m stuck choose the right one..

Answers

SSS i’m pretty sure :)
I believe it's ASA or SSS ...

how do you do this i need help

Answers

Answer:

2nd one

Step-by-step explanation:

y=16x+8

There were 239 people at a Travis Scott concert. Admission to the drive-in concert was $15 for adults and $5.50 for children. The total cost was $2758.50.

Answers

Okkkkk whats the question

The graph of the function B is shown below. Find B(1) PLEASE HELPPPP

Answers

Answer:

From the graph, it is clear that

at x = 1, the value of y=2

Therefore,

B(1) = 2, hence option 'C' is true.

Step-by-step explanation:

Given that the graph is associated with the function B.

From the graph, it is clear that

at x = 1, the value of y=2

In other words,

B(1) = 2

Therefore,

B(1) = 2, hence option 'C' is true.

PLEASE HELP- 56 DIVIDED BY 1.6

Answers

Answer:

35

Step-by-step explanation:

Which equation matches: what number is 10% of 20?

Answers

Answer: 2

Work: I just did 20 times .10 (You do .10 because everytime you multiply by any percent, you move the decimal back two spots). And after doing the multiplication, I got 2

I hope this helps, and Happy Holidays! :)

Jaxon and drake share a bag of tootsie rolls. Jaxton eats 3/5 of the bag and drake eats 5/12 of the bag. Use benchmark fractions to estimate the fraction of the bag of tootsie rolls jackson and drake ate

Answers

Answer:

[tex]\frac{49}{60}[/tex]

We can conclude that, both of them have eaten almost the complete bag of Tootsie rolls

Step-by-step explanation:

Given that:

Fraction of Tootsie rolls eaten by Jaxton = [tex]\frac{3}{5}[/tex]

Fraction of Tootsie rolls eaten by Drake = [tex]\frac{5}{12}[/tex]

Here, we have to use the Benchmark fractions to estimate what fraction of tootsie roll bags was eaten by Jaxton and Drake.

First of all, let us add the given two fractions to find the total amount of Tootsie rolls eaten by both of them together.

Total Tootsie rolls eaten by both of them =

[tex]\dfrac{3}{5} + \dfrac{5}{12}\\\\\text{Taking LCM of denominator i.e. 5 and 12 = 60}\\\Rightarrow \dfrac{3\times 12 + 5\times 5}{60}\\\Rightarrow \dfrac{49}{60}[/tex]

The most commonly used benchmark fractions are 0, [tex]\frac{1}{2}[/tex] and 1.

Here, with the fraction we can write our benchmark fractions as:

[tex]\dfrac{0}{60}, \dfrac{30}{60}, \dfrac{60}{60}[/tex]

We can see that, [tex]\frac{49}{60}[/tex] is near to [tex]\frac{60}{60}[/tex].

Therefore, we can conclude that, both of them have eaten almost the complete bag of Tootsie rolls.

tell me something <333 ^^

Answers

Answer:

Hi I hope you have a wonderful day!!

Step-by-step explanation:

I hope this makes your day :))!

make x the subject
ax+2c=bx+3d

i dont understand these can anyone help?

Answers

Step-by-step explanation:

here ax+2c=BX+3d

ax-bx=3d-2c

X(a-b)=3d-2c

X=3d-2c/a_b

two positive numbers are in the ratio of 4:9. their difference is 30. what is the sum of the two numbers?​

Answers

Answer:

78

Step-by-step explanation:

The difference is 30, which means that 4:9 is equal to 4x:9x, and the difference is 5x. x = 6, so 4x + 9x = 24 + 54 = 78

Halppppp plsssssssssss​

Answers

Answer:

Step-by-step explanation:

order the decimal from least to greatest 6.38,6.4,6.325,6.42 need help asap 45 points

Answers

Answer:

6.325,6.38,6.4,6.42

What kind of inference can the reader make about the
importance of sugar in the late nineteenth century?
rana
y to
bone
huge,
O Sugar was central to people's daily lives, work, and
economy.
O Sugar cane plantation owners needed cheap labor
after the enslaved were freed.
O Sugar cane is a labor intensive crop to grow and
harvest.
Sugar was a necessity enjoyed by the poorest
shopgirls to the richest kings.
ngs
ndon
3.
i in the

Answers

Answer:

b

Step-by-step explanation:

Answer:

A. Sugar was central to people’s daily lives, work, and economy.

Step-by-step explanation:

Slavery was abolished in the British Empire in 1833, thirty years before the Emancipation Proclamation in the United States. But even after they freed their slaves, the sugar plantation owners were desperate to find cheap labor to cut cane and process sugar. So the British owners looked to another part of the empire—India—and recruited thousands of men and women, who were given five-year contracts and a passage back.

so that means

My great-grandparents had come from India to Guyana—then British Guiana—in the late nineteenth century to work on the sugar plantations. Sugar was the backbone of the British Empire at that time. The demand was huge, for sugar had gone from being a luxury that only kings could afford to a necessity. Even the poorest of London shopgirls took sugar in their tea.

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