A model of a volcano has a scale of 2.5 inches to 1.000 feet. If the model is 18 inches high, find
the height of the volcano. (1ft = 12in)


Pls help me solve this!!!

Answers

Answer 1
Answer = 7, 200 ft

Explanation

1. Set up a proportion with the given information to solve for the height of the volcano. It would be 2.5/1000 ft = 18/x.

2. Cross multiply. 2.5x = 18000.

3. Divide 2.5 on both sides to get the variable by itself leaving x = 7, 200 ft
Answer 2

Answer:

To solve this problem, we can set up the following equation:

2.5 inches = 1,000 feet

We are told that the model is 18 inches high, so we can write the following equation:

18 inches = X feet

To solve for X, we can cross-multiply the equations to get:

(2.5 inches)X = (1,000 feet)(18 inches)

Simplifying this equation, we get:

X = 4,500 feet

Therefore, the height of the volcano is 4,500 feet.

Step-by-step explanation:


Related Questions

Which term below refers to events that all have the same probability of occurring?
(1) same chance occurrences
(2) equal probability events
(3) evenly divided happenings
(4) equally likely outcomes

Answers

The term below that refers to events that all have the same probability of occurring is; (2) equal probability events

What is the probability of occurrence?

By definition, we can say that the probability of occurrence of an event is defined as the number of trials in which a particular event happened divided by the total number of trials.

Probability = number of trials in which event happened/total number of trials.

Now, when we say that all items have the same probability of occurring, what we simply mean is they all have equal chance of occurrence or they all have equal outcomes. For example when we flip a coin, we have equal chance of getting a head or tail.

Thus, the term that best defines the above would be Option 2.

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Cash $14,692
Owe Knapp College 10,981
Owe Ashley’s Boutique 1,682
Owe Buzz Electronics 787
Jewelry 2,575
Lauren Juliana has been saving and would now like to purchase a boat. She does not have enough to pay cash, so she has contacted a lending institution about purchasing on credit. The lending institution has asked her to begin the loan process by completing a net worth statement. Prepare a net worth statement for Lauren Juliana. Select Current Date in the appropriate field to indicate today’s date. In each section, enter items in descending order of amount

Answers

Barren's net worth statement exists shown to the right.

What is meant by net worth statement?

Your total worth, including both financial and non-financial assets, equals your net worth less any outstanding obligations.

Using a net worth statement, you can view your financial situation at any given time. It is comparable to a "financial snapshot," showing the dollar amounts of your assets and liabilities (liabilities or debts).

Assets - Liabilities = Net Worth is the equation for calculating net worth.

The total of Lauren Juliana's debts will be subtracted from the total of her assets to determine her net worth (cash and jewelry).

= ($ 14,692 + $ 2,575) - ($ 10,981 + $ 1,682 + $ 787)

simplifying the equation, we get

= $ 3,817

barren's net worth statement is shown to the right.

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The required total net worth of Lauren Juliana is $ 3,817.

What is implied by total assets articulation?

Your all out worth, including both monetary and non-monetary resources, rises to your total assets less any remaining commitments.

Utilizing a total assets proclamation, you can see what is going on at some random time. It is equivalent to a "monetary preview," showing the dollar measures of your resources and liabilities (liabilities or obligations).

Resources - Liabilities = Total assets is the condition for working out total assets.

The complete of Lauren Juliana's obligations will be deducted from the absolute of her resources for decide her total assets (money and adornments).

= ($ 14,692 + $ 2,575) - ($ 10,981 + $ 1,682 + $ 787)

working on the situation, we get

= $ 3,817

desolate's total assets articulation is displayed to one side.

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if the length of the basketball court is (x+16) and the width is (x-2). what is the area​

Answers

Answer:

[tex]x^{2}[/tex]+14x-32 [tex]units^{2}[/tex]

Step-by-step explanation:

a basketball court is a rectangle, therefore its area is length x width.

the length given is (x+16)

the width given is (x-2)

substitute into the rectangular area equation:

length x width = (x+16)(x-2)= [tex]x^{2}[/tex]+14x-32

specific units (e.g. centimetres, meters, feet, etc) were not given so use the term 'units', and because we are dealing with area, use [tex]units^{2}[/tex].

therefore the answer is, [tex]x^{2}[/tex]+14x-32 [tex]units^{2}[/tex].

i hope that helps :)

Answer:

therefore the answer is, [tex]x^{2} +14x-32units^{2}[/tex].

Step-by-step explanation:

how to work out the area of a parallelogram

Answers

the base timed by the height

13. Using the information in the table, write and solve an equation to find the number
of toppings when you would pay the same amount for Pizza A and Pizza B.
Pizza A
Pizza B
Cheese pizza Price per topping
$1.50
$1.00
$10
$12.50

Answers

On solving the question, 5 topping would pay the same amount for Pizza A and Pizza B,  the value of equation 0.50x=2.50=>   x=5

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

let x be the number of toppings,the total cost of a pizza is given by:

pizza cost+topping cost

for pizza a =10+1.50x

for pizza b=12.50+1.00x

we solve for when cost are same and for how many toppings

   10+1.50x=12.50+1.00x

   10+0.50x=12.50

   0.50x=2.50

        x=5

would pay the same amount for Pizza A and Pizza B. are 5 toppings,

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One pair of base angles of an isosceles trapezoid each have a measure of 2(x–10)°. The other pair of base angles of the trapezoid each have a measure of (4x+8)°. What is the value of x?

Answers

Answer:

x = 32

Step-by-step explanation:

• any lower base angle is supplementary to any upper base angle.

here base angle = 2(x - 10) and upper base angle = 4x + 8

supplementary angles sum to 180°

sum the base and upper base angles and equate to 180

2(x - 10) + 4x + 8 = 180

2x - 20 + 4x + 8 = 180

6x - 12 = 180 ( add 12 to both sides )

6x = 192 ( divide both sides by 6 )

x = 32

Is the answer 650 or 277 ?

Answers

Answer:

Step-by-step explanation:

Which graph represents the solutions to this equation?
X²+8x=-20

Answers

Answer:

The one with the vertex of (-4,4)

Step-by-step explanation:

Solve each equation for both variables help please 15 points

Answers

Answer:

x = 12 and y = 11

Step-by-step explanation:

4x+3y=-15 -----equation 1st

4x-y = -27 ____equation 2nd

then,

Multiple equation second by 3 and slove it with equation first

4X +3Y = -15

12X -3Y = -81 (Multiples it with 3)

-8x = -96 (subtracted)

x=-96/-8

therefore, x=12

again,

from equation first

4x+3y = -15

or 4 × 12 + 3y = -15

or 3y = -15+48

or 3y= 33

or y=33/3

therefore, y =11

I hope this helps. If you have any doubt feel free to ask!!

Answer:

x = -6,  y = 3

Step-by-step explanation:

1)  4x + 3y = -15

2)  4x - y =  -27

     0 + 4y = 12       subtract equation (2) from equation (1)

4y = 12

y = 12/4 = 3         substitute y = 3 into either equation 1 or 2 and solve for x

4x + 3(3) = -15

4x = -24

x = -6

Check your answers by plugging x = -6, y = 3 into the equations:

4(-6) + 3(3) = -15   correct!

4(-6) - 3 = -27        correct!

(16,1), (17,7) find the slope of line through each pair of points

Answers

you would use the X2-X1divided by Y2-Y1
so
17-16=1
7-6=1
so the answer would be 1/1

The slope of the line through each pair of points (16,1), (17,7) is 6.

A line's slope serves as a gauge for its steepness. Between any two locations on the line, it is the ratio of the vertical change to the horizontal change.

The slope of a line can be positive, negative, zero, or undefined.

In algebraic equations, the letter "m" frequently stands in for slope. In slope-intercept form, a line's equation is written as y = mx + b, where m denotes the line's slope and b its y-intercept.

To find the slope of the line that passes through two points (x1, y1) and (x2, y2), you can use the following formula

m = (y2 - y1) ÷ (x2 - x1)

where m is the slope of the line and (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, the slope of the line through the points (16,1) and (17,7) is:

m = (7 - 1) ÷ (17 - 16) = 6 ÷ 1 = 6

So the slope of the line is 6.

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PLEASE HELP ASAP DUE TODAY NOW!!!!!!!!!!!

Answers

Answer:

0.910

Step-by-step explanation:

since it'snot perfect it can't be one and since it a positive slope it is 0.9102.

Ed is using the recipe shown to make fruit salad. He wants to use 30 diced strawberries in his fruit salad. How many bananas, apples, and pears should Ed use in his fruit salad?

Fruit Salad Recipe - 4 bananas, diced. 3 apples, diced. 6 pears, diced. 10 strawberries, diced.

Answers

Answer:

12 bananas

9 apples

18 pears

Step-by-step explanation:

You are tripling the recipe.

10 x 3 = 3

4 x 3 = 12

3 x 3 = 9

6 x 3 = 18

What is the sum of 6x+7 and 8x^2+5x-1

Answers

Answer:

8x² + 11x + 6

Step-by-step explanation:

6x + 7 + 8x² + 5x - 1 ← collect like terms

= 8x² + (6x + 5x) + (7 - 1)

= 8x² + 11x + 6

Find the common difference of the arithmetic sequence − 19 , − 11 , − 3

Answers

Answer:

+ 8

Step-by-step explanation:

This is an arithmetic progression (AP) as there is a common difference between successive terms.

For example, looking at the first two terms,

Difference = 2nd term - 1st term

                  = -11 -(-19)

                  = -11 + 19

                  = +8

To check,

Looking at the second and third terms,

Difference = 3rd term - 2nd term

                  = -3 -(-11)

                  = -3 + 11

                  = +8

Hence, there is a common difference of +8 between consecutive terms, making it an AP.

A kite is flying 24 ft off the ground. Its line is pulled taut and casts a 7-ft shadow. Find the length of the line. If necessary, round your answer to the nearest tenth.

Answers

The side lengths are;

tan x = e/f

cos x = e/d

sin x = f/d

What is a right angled triangle?

We know that a right angled triangle is the kind of triangle that one of the sides of the triangle would be 90 degrees.

There are some ratios that are associated with the right angled triangle and we call them the trigonometric ratios. These include the sine the cosine and the tangent. All of these ratios does depend on the lengths of the sides of the right angled triangle.

The sides of the right angled triangle are the opposite, the adjacent and the hypotenuse and these can be obtained based on the relative position of the angle.

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A model of a railroad car has a Scale Ratio of 1:87.1. If the model railroad car is 1.4 in high, how
tall is the actual railroad car?

Please answer this for me quick it’s due on Monday for me!!!

Answers

Answer:

The scale ratio of 1:87.1 means that for every 1 unit of measurement on the model (in this case, inches), there are 87.1 units of measurement on the actual railroad car. This means that the actual railroad car is 87.1 times larger than the model in every dimension. If the model is 1.4 inches tall, the actual railroad car would be 1.4 x 87.1 = <<1.4*87.1=122.54>>122.54 inches tall.

Which is a true statement regarding Springside?

Springside does not affect the correlation.
Springside weakens the correlation shown in the scatterplot.
Springside strengthens the correlation shown in the scatterplot.
Removing Springside would increase the value of the correlation coefficient.

Answers

The result of the interpretation of the graph:

Spring side weakens the correlation shown in the scatter plot.

The correct option is D.

What is a correlation coefficient?

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.

Given:

The mean test score is represented in the scatter plot as a function of the average class size.

This demonstrates that there is a negative link between the mean class size and the mean test score,

with the mean score decreasing as the mean class size increases.

The correct response is:

Spring-side decreases the association displayed in the scatter plot.

However, for Spring side, the mean test score is higher than most other schools with lower class sizes, which is a different outcome than predicted.

Therefore, spring-side weakens the correlation shown in the scatter plot.

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The complete question:

A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatter plot. One school in the report, Spring side Elementary, is labeled in the graph.

Which is a true statement regarding Spring side?

Spring side does not affect the correlation.

Spring side weakens the correlation shown in the scatter plot.

The spring side strengthens the correlation shown in the scatter plot.

Removing Spring side would increase the value of the correlation coefficient.

The scatter plot is attached in the image.

Complete table with the Y-values for the equation y=ײ+1

Answers

The complete table of values of the function is

x    0    1    2    3

y     0   2   5   10

How to complete the table of values of the function?

From the question, we have the following parameters that can be used in our computation:

The equation of the function is given as

y = x² + 1

The above function is a quadratic function

This is so because it has the following representation

y = ax² + bx + c

When this function is compared to the equation y = x² + 1, we have the following notations

a = 1

b = 0

c = 1

From the incomplete table of values, we have the x values to be

x = 1, 2, 3

Substitute x = 1, 2, 3 in the equation y = x² + 1

So, we have

When x = 1, y = (1)² + 1 = 2

When x = 2, y = (2)² + 1 = 5

When x = 3, y = (3)² + 1 = 10

When these values are represented on a table, we have

x    0    1    2    3

y     0   2   5   10

The above represents the complete table

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Complete question

Complete table with the Y-values for the equation y=ײ+1

x    0    1    2    3

y     0

true or false 3 times the speed will have 9 times the force of impact

Answers

Answer: true

Step-by-step explanation:

Answer the problem in the photo below! Please answer simply:)

Answers

Answer:

32

Step-by-step explanation:

Let's start with x to the third power. x=4 So that would be 4 to the third power. that would be 4x4=16.  16x4=64. So that would be 1/2*64. That equals 32

Idil owns a small business selling clothing. She knows that in the last week 3
customers paid cash, 25 customers used a debit card, and 53 customers used a credit
card.
with
Based on these results, express the probability that the next customer will pay
cash or a credit card as a percent to the nearest whole number.

Answers

The probability that the next customer will pay cash or a credit card is 56%, since 3 customers paid cash and 53 customers used a credit card out of a total of 81 customers.

What is customers?

Customers are individuals or organizations who purchase goods and services from a business. They play an important role in a company's success as they provide the revenue needed to sustain and grow the business. Customers become loyal to a business when they are provided with quality products, excellent customer service, and competitive prices. Companies that focus on customer satisfaction often develop long-term relationships with their customers, as they understand the importance of customer loyalty. Companies must strive to continually meet the changing needs of their customers in order to remain successful in the long term.

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What is the slope of the line that passes through the points (-6, -6) and
(-9, -5)? Write your answer in simplest form.

Answers

So basically what I do is find the formula for slope.

M= y2-y1/x2-x1


So I got

-5-(-6)/-9-(-6) = 1/3


answer = 1/3

:)

Consider the function f (x) = x.What effect does subtracting 2 from the input have on the graph of the function?​

Answers

The effect of subtracting 2 from the input on the graph of the function is a translation of 2 units to the right.

What effect does subtracting 2 from the input?

For any function f(x), we define a horizontal translation of N units as:

g(x) = f(x + N)

And what this does, is translate the graph N units horizontally.

if N > 0, then the translation is to the left.

if N < 0, then the translation is to the right.

Here we want to subtract 2 from the input, so we will get:

f(x - 2)

By using the definition above, we know that we will have a translation of 2 units to the right.

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A construction company is building a fence that is 1 1/3 miles long. They can building the fence 1/6 Mile every hr. How long to build the

Answers

The length of time to build the fence is 8 hours

How to determine the length of time to build the fence

From the question, we have the following parameters that can be used in our computation:

Length of the fence = 1 1/3 miles

Rate of building = 1/6 miles per hour

The length of time to build the fence is then calculated as

Length of time = Length of the fence/Rate of building

Substitute the known values in the above equation, so, we have the following representation

Length of time = (1 1/3 miles)/(1/6 miles per hour)

Evaluate the quotient

This gives

Length of time = 8 hours

Hence, the time taken is 8 hours

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Natalie is driving on the freeway. She just passed mile marker 290. The markers have
been increasing as she drives by them. The fastest Cameron will drive is 80 miles per
hour. However, there is a bit of traffic that might slow her down, but she doesn't know
exactly how much it will slow her down.

a. Write an inequality to represent Natalie's position relative to the mile markers
three hours from now.

b. Rewrite this inequality to reveal Natalie's speed.

Need help with this ASAP

Answers

On solving the provided question we can say that - the inequality equation which will be formed is 290x [tex]\geq[/tex] -23 + y

What is inequality?

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

here,

we have 290x

so the inequality equation which will be formed is

-y + 290x [tex]\geq[/tex] -23

290x [tex]\geq[/tex] -23 + y

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A pipe has 9/16" that is threaded, but you need to trim 4/32" off of the threaded part. How long will the threaded be after the trim? a. 17/32, b. 7/8, c. 7/16, d/ 15/32

Answers

To find the answer, we can begin by converting 9/16 to a denominator of 32. This can be done by multiplying everything by 2:

9 • 2 = 18
16 • 2 = 32

Our new fraction is 18/32. Now to subtract:

18/32 - 4/32 = 14/32

With our new fraction, we can divide the numerator and denominator by 2 to find that:

18/32 - 4/32 = 7/16

Hence, our final difference is option C.

Please do 1. and 2.! 25 points, please need asap!

Answers

Step-by-step explanation:

1

We can see that RS divides ∆PQS into two equal parts

So,

PR = RQ

Therefore

RQ = 5.1

Now

PQ = PR + RQ

=> PQ = 5.1 + 5.1

=> PQ = 10.2

2

Here

KM is the angle bisector

So

JM = ML

JM = 46

Find two Equivalent fractions of 4/2

Answers

Answer:

40/20 & 22/11

Step-by-step explanation:

To find an equivalent fraction to 4/2, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:By dividing the original fraction by 2, we get:4 ÷ 2 / 2 ÷ 2 = 21. By multiplying the original fraction by 2, we get:4 × 2 / 2 × 2 = 8/4. Here is the full list of equivalent fractions to 4/2. 2/1, 4/2, 6/3, 8/4, 10/5, 12/6, 14/7, 16/8, 18/9, 20/10, 22/11, 24/12, 26/13, 28/14, 30/15, 32/16, 34/17, 36/18, 38/19, 40/20...

The product of all of the solutions of (4x + 2k)(2 -5x ) = 0 is (−15). Find k.

Answers

Answer:

k = 75

------------------------------

Given equation:

(4x + 2k)(2 - 5x) = 0

Its solutions are:

4x + 2k = 0 and 2 - 5x = 04x = - 2k and 2 = 5xx = - 0.5k and x = 0.4

The product of the solutions is -15:

- 0.5k * 0.4 = - 15- 0.2k = - 15k = - 15/- 0.2k = 75

A biology class examined some flowers in a local meadow. They saw 36 flowers, of which 25% were perennials. How many perennial flowers did the students see?

Answers

Answer: nine

Step-by-step explanation: 36 - 25 = 9 or 25% x 1 + 36 = 9

Answer:

9

Step-by-step explanation:

1 first split  36 by 4 because  25% is 1/4

2 once when divided you should get 9 because 9x4 is 36  

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Read the following quote. Then complete the paragraph by choosing the answers that correctly interpret what the author is saying. The phrase "Political Influence", as used by Mark Twain in this passage, is a reference to the within . From "The Tyranny of Things" by Elizabeth MorrisOnce upon a time, when I was very tired, I chanced to go away to a little house by the sea. "It is empty," they said, "but you can easily furnish it." Empty! Yes, thank Heaven! Furnish it? Heaven forbid! Its floors were bare, its walls were bare, its tables there were only two in the house were bare. There was nothing in the closets but books; nothing in the bureau drawers but the smell of clean, fresh wood; nothing in the kitchen but an oil stove, and a few a very few dishes; nothing in the attic but rafters and sunshine, and a view of the sea. After I had been there an hour there descended upon me a great peace, a sense of freedom, of in finite leisure. In the twilight I sat before the flickering embers of the open fire, and looked out through the open door to the sea, and asked myself, "Why?" Then the answer came: I was emancipated from things. There was nothing in the house to demand care, to claim attention, to cumber my consciousness with its insistent, unchanging companionship. There was nothing but a shelter, and outside, the fields and marshes, the shore and the sea. These did not have to be taken down and put up and arranged and dusted and cared for. They were not things at all, they were powers, presences.And so I rested. While the spell was still unbroken, I came away. For broken it would have been, I know, had I not fled first. Even in this refuge the enemy would have pursued me, found me out, encompassed me.If we could but free ourselves once for all, how simple life might become! One of my friends, who, with six young children and only one servant, keeps a spotless house and a soul serene, told me once how she did it. "My dear, once a month I give away every single thing in the house that we do not imperatively need. It sounds wasteful, but I dont believe it really is. Sometimes Jeremiah mourns over missing old clothes, or back numbers of the magazines, but I tell him if he doesnt want to be mated to a gibbering maniac he will let me do as I like."The old monks knew all this very well. One wonders sometimes how they got their power; but go up to Fiesole, and sit a while in one of those little, bare, white-walled cells, and you will begin to understand. If there were any spiritual force in one, it would have to come out there.I have not their courage, and I win no such freedom. I allow myself to be overwhelmed by the invading host of things, making fitful resistance, but without any real steadiness of purpose. Yet never do I wholly give up the struggle, and in my heart I cherish an ideal, remotely typified by that empty little house beside the sea.Which central idea is not discussed in Morriss essay? aThe loss of things bThe beauty of things cThe passion for things dThe call for things