the sears tower of Chicago is 1450 feet high. a model is 24 inches tall. what is the ratio of the height of the model to the height of the actual sears tower?

Answers

Answer 1
Def scale is 1:x where x is actual size
Note 1 doesn't always work for numbers given, but is preferred

24:1450 -> 24/1450
Let's do it step by step of easiest factor to find
An obvious one is 2
24/1450 = 12/725
Can't be simplified
Thus the scale is 12:725
But if 1:x is required we divide it out to get
12:725 is about 1:0.0166
Actual number is irrational and goes on forever

Related Questions

Help me out, my guy!
Which statement describes the solar feature shooting off into space labeled C?

A. An envelope of plasma surrounding the sun
B. A stream of glowing gas that shoots out from the sun in an arch
C. A brief eruption of intense high-energy radiation from the sun's surface
D. A dark spot appearing from time to time on the sun's surface

(There is no subject option for science so I had to use Math sorry.)

Answers

Correct answer is B.

Explanation:
Occasionaly gas is shot from the surface of Sun. The reason for this is gravity-pressure instability. Most of this gas returns to the surface. Reason for this return are both magnetic field lines and gravitational pulling.

Answer A is description of a corona. It extends milions of kilometers in space and it can be seen only during solar eclipses. This is sort of Sun's atmosphere.

Answer C is description of a solar flare. It is huge explosion on the surface that sends out various types of radiation including visible light. This is similar to nuclear explosion on the Earth. On the picture this is marked with letter B.

Answer D is description of a sunspot. It occasionaly appears on the surface. The appearance follows 11 year min-max rule. It darker because it has lower temperature than the rest of surface, about 2000 degrees lower.

Ivan has 8 marbles. Each marble weighs 1/3 ounce. What is the total weight of the marbles in ounces?

Answers

1/3 x 8
= 8/3

the answer is 8/3 ounces
Hey there! :D

If each marble is 1/3 of an ounce:

8/1*1/3= 8/3

Or, we could say 8*1= 8 Tyen our that over 3.

8/3= 2 2/3 ounces

I hope this helps!
~kaikers

whats the answer ?????

Answers

$32*(1 -0.15)*(1 +0.08) = $29.376

The gloves will cost Bob $29.38.
$29.76 is the correct answer

The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?

Answers

Hey there! :D

Alternate Interior Angles: Angles that are in the interior of the parallel lines, and are diagonal in the transversal.  

So, angles <3 and <6 are alternate interior. <4 and <5 are alternate interior. 

I hope this helps!
~kaikers

Answer:

angle 5 and angle 4

Step-by-step explanation:

Help me please I want to know the answer

Answers

The operations performed on c are
.. add b
.. divide by d

To solve for c, you undo these in reverse order.
.. undo "divide by d" by multiplying by d
.. .. ad = b +c
.. undo "add b" by adding the opposite of b
.. .. ad -b = c

The 1st selection is appropriate.

what is the answer to this problem

Answers

5 x 70 = 5 x 7 tens
5 x 70 = 35 tens = 350


Answer:

350

Step-by-step explanation:

The completed problem is

[tex]5 \times 70=5\times 7 \ tens.\\5 \times 70=35 \ tens=350[/tex]

Basically, the process is only about separating tens from units, so basically "tens" represents the zero, that's why we only multiply 5 and 7 digits, and add the zero at the end. It's an easier way to multiply tens.

Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute. Enter a number in each box to complete the statements. Write the ratio that compares 1/10 ton of sand to 4/5 minute. The ratio in ton(s) per minute(s) is $$ ​. Simplify the ratio to find the amount of sand added in one minute. ton(s) per minute

Answers

 The ratio will be [tex] \frac{tonofsand}{minutes} [/tex]. Since we know the machine adds [tex] \frac{1}{10} [/tex] ton of sand to the mixture in [tex] \frac{4}{5} [/tex] minute, the only thing we need to do is replace those values in our ratio to get:
[tex] \frac{tonofsand}{minutes} = \frac{ \frac{1}{10} }{ \frac{4}{5} } [/tex]
Now, lets simplify our ratio. Notice that our ratio is a division of tow fractions, and remember that to dive fractions we just flip the second fraction and multiply:
[tex] \frac{ \frac{1}{10} }{ \frac{4}{5} } = \frac{1}{10} . \frac{5}{4} = \frac{5}{40} = \frac{1}{8} [/tex]
We can conclude that the ratio in ton(s) per minute(s) is [tex] \frac{1}{8} [/tex], which means [tex] \frac{1}{8} [/tex] ton of sand added in one minute ([tex] \frac{1}{8} ton/minute[/tex]) 


A rectangular park has an area of 64 square yards. If we multiply its length and width by 12, what will be the area of the new rectangle?

Answers

Answer:

9216 see explanation

Step-by-step explanation:

area of a rectangle =l×b

let the area and the breadth of the rectangle be x an y respectively

Now

x×y=64cm^2

as we have to multiply the length and breadth both by 12 the new area will be x×y=64×12×12 so the new area would be 9216

Answer:

[tex]\displaystyle 9126\:yd.^2[/tex]

Step-by-step explanation:

Explanation:

[tex]\displaystyle wl = A[/tex]

First, let us list the factours of 64:

[tex]\displaystyle 1, 2, 4, 8, 16, 32, 64[/tex]

Any two factours of 64 would do [two eights would wourk of cource, but the park is not square-shaped]:

[tex]\displaystyle 9126 = [2(12)][32(12)] \\ 9126 = [4(12)][16(12)][/tex]

Either way, you still get the same result. By the way, NO court will ever be one yard, so I never included it, but again, you get the overall idea.

I am joyous to assist you at any time.

Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers.

Answers

x= smaller number
y= larger number

We will have two equations to work with so we can solve for the variables.

EQUATION 1:
3 * y= 4 * x
3y= 4x
subtract both sides by 3y
0= 4x - 3y

EQUATION 2:
21= x + y

SOLVE:
solve for one variable in equation 2
21= x + y
subtract both sides by y
21-y= x

Substitute x= 21-y in equation 1:

0= 4x - 3y
0= 4(21-y) - 3y
0= (4*21) + (4*-y) - 3y
0= 84 - 4y - 3y
0= 84 - 7y
add 7y to both sides
7y= 84
divide both sides by 7
y= 12

Substitute y=12 in either equation to solve for x:

21= x + y
21= x + 12
subtract both sides by 12
9= x

CHECK:
0= 4x - 3y
0= 4(9) - 3(12)
0= 36 - 36
0= 0

ANSWER: x=9 and y=12

Hope this helps! :)




Gloria placed 2 apples into each of 14 boxes. Let a represent the total number of apples she had. which represents this situation?

Answers

the answer to this math problem is the letter A

Assume that after t hours on the job, a factory worker can produce 100te^-.5t units per hour. How many units does the worker produce during the first three hours?

Answers

The number of units produced by the worker during t hours of work can be modelled by the following function:

[tex]N(t)=100t e^{(-0.5t)} [/tex]

To find the number of units produced during first 3 hours, we can substitute 3 for t. This will give us the number of units produced by the worker during first 3 hours.

[tex]N(3)=100(3) e^{-0.5(3)} = 67[/tex]

Thus the worker will produce 67 units during the first 3 hours of the work. 

Final answer:

To find the number of units that the worker produces during the first three hours, we need to calculate the integral of the production function from 0 to 3. The production function is given as 100te^-0.5t. Using the power rule and the exponential rule of integration, we can find that the worker produces approximately -300e^-1.5 units during the first three hours on the job.

Explanation:

To find the number of units that the worker produces during the first three hours, we need to calculate the integral of the production function from 0 to 3.
The production function is given as 100te^-0.5t.
To integrate this function, we can use the power rule and the exponential rule of integration.

First, let's apply the power rule. The integral of t^n is (t^(n+1))/(n+1).In this case, we have t*e^-0.5t. So, applying the power rule, we get (t^(1+1))/(1+1) = (t^2)/2.Next, we apply the exponential rule. The integral of e^at is (1/a)e^at.Here, we have e^-0.5t. So, applying the exponential rule, we get (1/(-0.5))e^-0.5t = -2e^-0.5t.Now, let's combine the two results. The integral of 100te^-0.5t can be written as 100 * ((t^2)/2) * (-2e^-0.5t).Simplifying, we get -100te^-0.5t.

Now, we can plug in the values from 0 to 3 in the integral and calculate the result.

First, plug in the value t=3 in the integral: -100(3)e^-0.5(3) = -300e^-1.5.Then, plug in the value t=0 in the integral: -100(0)e^-0.5(0) = 0.Finally, subtract the result from step 2 from the result from step 1: -300e^-1.5 - 0 = -300e^-1.5.

Therefore, the worker produces approximately -300e^-1.5 units during the first three hours on the job.

Blake made and 87 on the first semester of algebra 1 . What score can he make on the second semester if he wants his average to be more than a 90 for both semesters? Answer using complete sentences

Answers

Blake must score an average of at least a 93 on his second semester to be able to have an average of 90 for both semesters.
Final answer:

In Mathematics, to find the average score which is more than 90 over two semesters when the first semester's score is 87, Blake needs to score more than 93 on his second semester.

Explanation:

In Mathematics, specifically algebra, finding an average involves adding up all the values and then dividing by the total number of values. In this case, we're trying to find out the minimum possible score Blake needs in the second semester in order for his total average to be over 90.

Let's denote the score in the second semester as 'x'. Since the average is calculated by (first semester score + second semester score)/2, and since Blake wants his average to be more than 90, we express this as:(87+x)/2 > 90.

We now solve for x: Multiply both sides by 2 to get; 87 + x > 180. Then subtract 87 from both sides to solve for x, which yields; x > 93.

Therefore, Blake needs to score more than 93 in his second semester to have an overall average greater than 90 for both semesters.

Learn more about Average Score here:

https://brainly.com/question/7471517

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Manuel has 13 granola bars to split among 5 people. Express the number of granola bars that each person receives as a quotient and remainder.

Answers

2 r 3
--------
5/ 13
-10
------
3

unscramble each of the clue words.

tow-setp
pyorerpt
dodtiina
niiosdiv
labviera
aileyquitn
bistautornc
nuatieqo
tiulinticpolma

Answers

The first is two step
Second property
Third addition
Fourth division
Fifth variable
And the last is multiplication
Sorry I don’t know the rest

If a dozen eggs cost $1.35, what is the unit cost?

Answers

total eggs=12
dozen eggs cost =1.35 dollars
one egg =12/1.35
=0.11 dollars

Which of the numbers 4, 5, or 6 is a solution of x+7>12

Answers

6 because 6+7 is greater than 12

Chris visited the local Pizza Shack to purchase one pizza for each member of his Scout Troop. On arrival, he realised that he had mislaid the list he had made of the pizzas that had been requested. He knew that there were 32 people altogether and that all 3 vegetarians in the Troop wanted mushrooms only. He also remembered that the same number of people wanted just the chicken topping as wanted a plain pizza. Alex, a Young Leader, was able to help by recalling that: 12 people requested toppings that included chicken, 10 requested toppings that included pepperoni, 9 requested toppings that included mushroom, 1 person wanted all 3 toppings, 2 wanted chicken and pepperoni only, 2 wanted peperoni and mushroom only. What was the final order that Chris placed at Pizza Shack?

Answers

From the information provided in the question the following assumptions can be made;
32 people altogether
1 requested all three toppings
3 vegetarians got mushroom only 
9 requested toppings with mushrooms included
12 requested toppings with chicken included
10 requested toppings that included pepperoni 
2 wanted chicken and pepperoni only 
2 wanted mushroom and pepperoni
x amount of people wanted chicken only
x amount of plain pizzas
all this information is depicted in the diagram attached

the amount of pepperoni only = 10 - 1 - 2 - 2
                                               = 5
the amount of mushroom only (y)
the number of pizza with both chicken and mushroom (z)
y = 9 - 1 - 2 -z
  = 6-z
amount of chicken toppings only 
x = 12 - 2 - 1 - z 
   = 9-z
total number of pizzas 
32 = 1 + 2 + 2 + 5 + y + x  + z +x
     = 10 + y + 2x +z
substiuting y = 6 - z 
   32 = 10 + 6 - z + 2x + z
   32= 16 + 2x
   2x = 16
    x = 8
then x = 9-z
        8 = 9-z
        z = 1
 and y = 6 - z
       y = 5

therefore the final answer was supposed to be 
8 plain pizzas
8 chicken only
5 pepperoni only
5 mushrooms only 
1 all toppings
2 chicken and pepperoni
2 mushroom and pepperoni 
1 chicken and mushroom

Hello,

Please, see the attached files.

Thanks.

how many athletes exercised more than 40 but less than 60 minutes

Answers

4.  When reading the stem and leaf plot the only values that fall between the range of  40 < x <60  is the 4 values of 45.  They are located at the tail end of the 4 stem after the zeros. The 40s and 60s are not counted because it is not mentioned equal to 40 or 60.

The correct answer is:

4.

Explanation:

The number 40 is written in this stem-and-leaf plot as 4|0.  60 is written as 6|0.  There are 4 leaves between these numbers; 5, 5, 5 and 5, with the stem of 4.  This means the numbers are 45, 45, 45 and 45.  There are only 4 between these two numbers.

when Raphael solved the system below by using the method of elimination, he changed the second equation to -8x-2y=-2 what property justifies this manipulation?
8x+3y=7
4x+y=1

Answers

Final answer:

Raphael used the Property of Equality to justify his manipulation of the second equation.

Explanation:

The property that justifies Raphael's manipulation is the Property of Equality. According to this property, if two expressions are equal, then subtracting or adding the same quantity to both sides of the equation will still give you an equal equation. In this case, Raphael changed the second equation to -8x - 2y = -2 by subtracting 1 from both sides of the equation.

Learn more about Method of elimination here:

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X=
A.100
B.120
C.140

Answers

x=140 because of the exterior secant angle theorem
10° is half the difference of the intercepted arcs, so you have
.. 10 = (30 -(150 -x))/2
.. 20 = x -120
.. 140 = x

The 3rd selection is appropriate.

In Art class, Mr. Jocelyn gave everyone a1 foot stick to measure and cut. Vivian measured and cut her stick into 5 equal pieces. Scott measured and cut his into 7 equal pieces. Scott said to Vivian, "the total length of my stick is longer than yours because I have 7 pieces, and you only have 5" is that correct?

Answers

No. The more you cut, the less the one-piece length is. The pieces that Vivian has is less than Scott.

However, they all got a 1-foot stick. So, if you add them up you have an equal length.

Scott is incorrect thinking his stick is longer; both received identical 1 foot sticks, so total lengths remain the same despite the number of pieces they are cut into.

The student's question involves Scott believing that because he has more pieces, the total length of his stick is longer than Vivian's. Scott and Vivian both received a 1 foot stick and divided it into equal pieces; Scott into 7 pieces and Vivian into 5.

This problem is related to the concept of division where each person divides their total length equally among the number of pieces, which means the length of each individual piece changes, but the total length of the stick remains the same. Scott is not correct; the total lengths of their sticks are identical, each being 1 foot in length before cutting, regardless of the number of pieces they've been cut into.

Name the like terms in the expression 5a + 8 – 3a + 11.

Answers

The like terms are 5a and -3a. Also, 8 and 11 are like terms

8 and 11 are like terms because they both are constants and don't have a variable.
5a and 3a are like terms because they both have the variable a in common. 
you would combine these like terms
5a + 8 - 3a + 11
(5a - 3a) + (8 + 11)
2a + 19

Hope this helps :)
The like terms in this are

5a
3a

If c(x) = 2x^2 - 4x + 3

17. c(3a)
18. c(b^2)

Answers

Put the function argument where the variable is, then simplify where possible.

17. c(3a) = 2(3a)^2 -4(3a) +3
.. = 18a^2 -12a +3

18. c(b^2) = 2b^4 -4b^2 +3

PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS

1 cubic foot of sand weighs 100 pounds. A square sandbox with 5-foot side has half of a foot of sand in it. How many pounds of sand is the sandbox holding?

Answers

1250 lbs of sand.

So first let's find the volume of the sand in the sandbox. You have a square sandbox, with a side length of 5, meaning you have a length and width of 5. You also have half a foot of sand in the sandbox, meaning that you have a height of 0.5. To find the volume of the sand, multiply the length by the width by the height:

[tex]5 * 5 * .5 = 12.5[/tex]

So you have 12.5 cubic feet of sand. If each cubic foot of sand is 100 lbs, then you just multiply the two:

[tex]12.5 * 100 = 1250.0 [/tex]

Victor and his three friends (4 people all together) are planning to split a pizza. They want to spend at most $5 per person. Find the maximum (at most) cost of the pizza they can order.

Answers

$20, because when one person is supposed to pay at max. $5, and there are 4 people, 5*4= 20. The maximum cost of their pizza should be $20, so each person pays $5.

The students at Myer Park HS were given information about two linear functions. Function F had an X intercept of eight and a Y intercept of -6. Function G is shown in the graph below. What is the slope of the function with the greater slope.

Answers

Function F slope : 6/8 or 3/4
Function G slope : 3/5

Ans : I think it's 3/4 cuz it's greater in value than 3/5.

(Sorry if I'm confusing.)

In physics the mass energy equivalence is that the mass of a body is measured by its energy content. This may be written algebraically as E=mc2, where E is energy, m is mass, and c is the speed of light in a vacuum. Transform the equation so that it will be read as a solution for mass, m. Write your answer in a sentence with all the correct labels from above!

Answers

mass=energy/the speed of light in a vacuum

English is spoken as the first or primary language in 78 countries than Farsi is spoken as the first language. Together English and Farsi are spoke as a first language in 130 countries. In how many countries is English spoken as the first language? In how many countries is Farsi spoken as the first language.

Answers

I guess you have to divide the number.

Answer:

52

Step-by-step explanation:

130 (total)-78=52

each person in Ellen's family drinks 8 1/3 ounces of water. If 5 people are in Ellen's familly., how many ounces of watet do they drink altogethet?

Answers

Answer is 43 5/3 because multiply 8 1/3 into 5 ...
One person drinks 25/3 ounces. Multiplied by 5 is, 125/3. Then it’s 41 2/3. The answer is 41 2/3

Find k so that 25x^2+40x+k is the square of a binomial

Answers

To do this, the trinomial must be a perfect square trinomial. This means that the binomial must repeat itself exactly to FOIL out to the trinomial.
(5x+ )(5x+ )
The blanks must multiply to equal k and add together to equal 40 when multiplied by 5x.
(5x+4)(5x+4) = (5x+4)^2
Applying the FOIL method to the perfect square binomial shows that k=16

Final answer:

To find k to make a quadratic expression a perfect square of a binomial, we must compare coefficients and solve equations for a and b. Finally, by substituting the values of a and b, the value of k can be determined as 16.

Explanation:

To find k so that 25x^2 + 40x + k is the square of a binomial, we aim to express 25x^2 + 40x + k as the square of the binomial form (ax + b)^2. Comparing coefficients gives us:

2ab = 40 (from the linear term)

a^2 = 25 (from the quadratic term)

Solving these equations, we find a = 5 and b = 4. Therefore, the value of k is 16.

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