John needs to make a scale drawing of his school building for art class. If the building is 256.25 meters long, and John scales it down using a ratio of 25 meters to 1 inch, how long will the building be in the sketch?

Answers

Answer 1
The building in the sketch will be 10.25 inches long.
Answer 2

Answer:

10.25 inches in the sketch

Step-by-step explanation:

Since we are talking about scales drawing, we can solve this problem using proportions, the ratio John will use is 25:1. We will write the proportion using this information and then we will solve for x.

[tex]\frac{25}{1} =\frac{256.25}{x} \\x=256.25/25\\x=10.25[/tex]

Therefore, the building will be 10.25 inches in the sketch.


Related Questions

Compute, in centimeters and in meters, the height of a basketball player who is 6 ft 6 in. tall.

Answers

Centimeters - 201.168
Meter - 2.01168

Answer:

Height in cm =198.12 cm

Height in m =1.9812 m

Step-by-step explanation:

To make this conversion we have to get the conversion rate from feet and inches to centimeters.

Each feet is 30.48 cm. And each inch is 2.54 cm This is the rate of conversion.

So, to get the height of the basketball player we have to multiply the  height in feet and inches by the rate.

6 ft x 30.48 cm= 182.88 cm

6 in x 2.54 cm= 15.24 cm

Adding both,  height in cm =198.12 cm

Rate of conversion cm to m= 100 cm are a meter

We divide the height in cm by 100 to get the height in m

Height in m =1.9812 m

A single six-sided die is rolled. find the probability of rolling a number less than 3

Answers

Number of trials=
Probability of sucess=p(x<3)=p(1)a+p(2)
=1/6+1/6=2/6=1/3

What is the domain of f(x) = 3x?

Answers

Answer:

C. All real numbers.

Step-by-step explanation:

We have been given a function [tex]f(x)=3^x[/tex]. We are asked to find the domain of our given function.

We know that domain of a function is all values of x for which a function is real and defined.

We know that the domain of an exponential function is all real values of x that is [tex](-\infty,\infty)[/tex].

Since our given function is an exponential function, therefore, domain of our given function is all real numbers.

The domain of a function is the set of input values the function can take.

The domain of f(x) = 3x is (c) all real numbers

The function is given as:

[tex]f(x)=3x[/tex]

The above function is not restricted to any input value.

This means that, x can assume any real number as its value, and the function will still be defined.

Hence, the domain of f(x) = 3x is (c) all real numbers

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The ratio of Isabella's money to Shane's money is 3:11. If Isabella has $33, how much money do Shane and Isabella have together? Use diagrams to illustrate your answer.

Answers

If Isabella has 33, we multiply that by 11/3 (the inverse of 3/11 as you multiply Shane's by 3/11 to get Isabella's) to get 99

Let’s assume that one drop is equal to 50 µl. a total of 2366 drops will fill how many tablespoons?

Answers

First, we have to set the volume in 1 tablespoon. It actually depends on the country you're living. In USA, 1 tablespoon is approximately 14.8 ml. In microliters, that is equal to 14,800 μL. Thus,

Volume of the liquid = 50 μL/drop * 2366 drops = 118,300 μL
Therefore, that is equivalent to
Number of tablespoons = 118,300 μL/14,800 μL = 7.99924 or approximately 8 tablespoons

Determine the number(s), x, between 0 and 2π where the line tangent to the function f(x)=2sin(x)+2cos(x) is horizontal.

Answers

The line tangent to (the graph of) a function is horizontal, when it's slope is equal to 0.

The slope of the tangent line at a point, is determined by the derivative of the function, at that point.

So, we find the derivative of f, and find when it is equal to 0:


f'=2cos(x)-2sin(x)

2cos(x)-2sin(x)=0

cos(x)=sin(x), 


then x is 45 degrees or 45+180=225 degrees, which are

[tex] \displaystyle{\frac{ \pi }{4} [/tex] radians, and [tex] \displaystyle{\frac{ 5\pi }{4}


Answer: π/4, 5π/4

If m angle abf=7b-24 and m angle abe=2b find m angle ebf

Answers

angle ABE is equivalent to the whole angle, and it measures 2b. 
while the angle ABF is only a portion of angle ABE, and it measure 7b - 24. 

since we know the measure of the whole angle and a part of the angle, we can then subtract to find the left over angle (angle EBF), so

Angle EBF = Angle ABE - Angle ABF 

Angle EBF = 2b – (7b – 24)

Angle EBF = 24 – 5b

find the reciprocal 8

Answers

-1/8  is your answer

hope this helps

What is the place value of the2 in 324 and 0.324

Answers

The place value of the 2 in 324 is the tens place. Imagine you take away the 3 and replace the 4 with 0. It leaves 20 which is divisible by 2. The place value of the 2 in .324 is the hundredths place. Decimal place value is different in that the values are divided by 10. Sorry if this is confusing but that's the only logical way I can explain place value.

Luke puts $35 in his savings account every month. Use a calculator to find how much money he will save in a year.

Answers

420.00 that's how much he would have saved in a year

How do you solve for this show steps for it

Answers

7*2=14, so (14+4)/7=18/7. Next, 7*4=28, so we multiply 18/7 by 4/4 to get 
72/28+13/28=85/28

a 25-foot wire is to be cut so that the longer piece is one foot longer than 5 times the shorter peice . find the length of each peice

Answers

short piece = x

 long piece = 5x +1

x +5x +1 = 25

6x = 24

x = 24/6 = 4

 short piece = 4 feet

long piece = 21 feet

25 = L + S where L is longer piece and S is shorter piece
L = 5S + 1
Then 25 = 5S + 1 + S
         25 = 6S + 1
         24 = 6S
           S = 4
           L = 21

MATH HELP

Match the expression to the product

Expressions: 3 x (-4/10), -3 x (-4/10), -2 x (8/9), 2 x (8/9)

Products: -1 1/5, 1 7/9, 1 1/5, -1 7/9.

Answers

3 x (-4/10)     =    - 1   1/5

-3 x (-4/10)    =      1  1/5
 
-2 x (8/9)  =  - 1  7/9

2 x (8/9)  =  1   7/9

Emily brought $35 to the fair. at the fair, she spent $16 on ride tickets and she also bought lunch. she had $7 when she left the fair. how much did emily spend on lunch?


A. 23 + x =35
x=12

B. 16 + x =35
x = 19


C. x - 23 = 35
x = 58

D. x + 9 = 35
x= 26

Answers

Answer:

the answer is A

Step-by-step explanation:

first you have to add 16+7 which is 23, then subtract 23 from 35 and you get 12, she spent 12 dollars on lunch.

Harlen has a wooden board that is 2 and one-fourth feet long. He needs to cut the board into one half-foot piece. How many can one half-foot piece of the board Harlen cut? These are the answer choices

Answer Options with 4 options
A.
1 and one eighth
B.
1 and one fourth
C.
3 and one half
D.
4 and one half



I will rate you five stars and say thank you if right I will even recommend you to someone else

Answers

answer choice A. half of 2 and 1 fourth is 1 and 1 eighth  

The cost of two mopeds is the same as the cost of seven bicycles. The cost of one bicycle is $152. Therefore, the cost of one moped is

Answers

7 x 152 = 1064 for 7 bikes

 since 2 mopeds cost that amount divide by 2 for the price of 1 moped

1064/2 = $532

Klara bought a dozen bags of bird food for $27. Use compatible numbers to find the approximate cost of six dozen bags of bird food

Answers

Since she needs 6, it will be 6 times the price:

27 × 6 = $162

Hope this helped! 

Answer:

The cost of six dozen bags of bird food is $162.

Step-by-step explanation:

Consider the provided information.

Klara bought a dozen bags of bird food for $27.

The above information can be written as:

1 dozen = $27

Multiply both the sides by 6.

1×6 dozen = $27×6

6 dozen = $162

Hence, the cost of six dozen bags of bird food is $162.

An apartment has 918 square feet of carpeting. How much is this in square meters? Use the following conversion: 1 square meter is 10.8 square feet.

Answers

10.8 square feet = 1 square meter
918 square feet = 918÷10.8
= 85 square meters

The area of the apartment in square meters will be 85 square meters.


What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that an apartment has 918 square feet of carpeting. The area of the apartment in square meters will be calculated as:-

As we know that 1 square meter is equal to 10.8 square feet.

10.8 square feet = 1 square meter

918 square feet = 918÷10.8

918 square feet = 85 square meters

Therefore, the apartment will have an area of 85 square meters.

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what adds to be the bottom number but also multiplies to the top

Answers

6 + 8 = 14
6 * 8 = 48
First u lost the factors of 48 then u see what number added to 14 so 8 plus 6 equals 14

Suppose that a subset of 4 balls will be randomly selected from a collection of 4 amber balls, 4 blue balls,4 copper balls, and 4 green balls (so 16 balls in all). what is the probability that exactly two of the colorswill be present (and exactly two of the colors will be absent) in the set of randomly selected balls

Answers

16% can be fonud..............................................................

                                                                    Im not sure


7x2 + 7y2 − 28x + 42y − 35 = 0. in standard form

Answers

Answer:

[tex](x-2)^2+(y+3)^2=18[/tex]

Step-by-step explanation:

This is a circle.  It already is in standard form, so maybe you mean work form?  I'll go with that, since there's nowhere else to go!

Let's group the x terms together and the y terms together and move the constant to the other side of the equals sign first.

[tex]7x^2-28x+7y^2+42y=35[/tex]

In the world of conics, this is a circle because the leading coefficients on the x-squared term and y-squared term are the same, namely 7.

But if we are going to get this into its graphing form, or work form, we need that 7 to be a 1.  We are going to complete the square on both the x terms and the y terms.  First we factor out the 7 from both x and y:

[tex]7(x^2-4x)+7(y^2+6y)=35[/tex]

The rules for completing the square are as follows:

Take half the linear term, square it, and add it to both sides, keeping in mind the 7 you factored out as a multiplier.

Our linear term in the first set of parenthesis is 4 (from the -4x).  Half of 4 is 2, and 2 squared is 4.  We add a 4 into the parenthesis, but multiplying in the 7 has us actually adding in a 28.

Our linear term in the second set of parenthesis is a  (from 6y).  Half of 6 is 3, and 3 squared is 9.  We add a 9 into the parenthesis, but multiplying in the 7 has us actually adding in a 63.  Now here is what we have done thus far:

[tex]7(x^2-4x+4)+7(y^2+6y+9)=35+28+63[/tex]

We have, in the process of completing the square, created 2 perfect square binomials on the left.  That's why we do this...to get those perfect square binomials.  Stating those on the left and adding on the right breaks down our equation into work form.  Well, almost.

[tex]7(x-2)^2+7(y+3)^2=126[/tex]

Actual work form has us divide both sides by 7 to get the final answer of

[tex](x-2)^2+(y+3)^2=18[/tex]

And there you are!

The line 3x+4y=24 cuts the x-axis at point A and the y-axis at B. Find
The coordinate of A and B
The length of AB
Point C is on the line such that C is equidistant from x and y-axis.find coordinate of C.

Answers

if line 3x + 4y = 24 cuts the x axis at point A, then point A is ur x intercept of line 3x + 4y = 24. To find the x int, sub in 0 for y and solve for x.
3x + 4y = 24
3x + 4(0) = 24
3x = 24
x = 24/3
x = 8....so point A is (8,0) <===

if line 3x + 4y = 24 cuts the y axis at point B, the point B is the y int. of 3x + 4y = 24. To find the y int, sub in 0 for x and solve for y
3x + 4y = 24
3(0) + 4y = 24
4y = 24
y = 24/4
y = 6......so point B is  (0,6) <===

if point C is equidistant from point A and point B, then it is the midpoint.
midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2
(8,0)....x1 = 8 and y1 = 0
(0,6)...x2 = 0 and y2 = 6
time to sub and solve
m = (8 + 0)/2 , (0 + 6)/2
m = (8/2),(6/2)
m = (4,3) <=== this is point C
Final answer:

The coordinates of A and B are (8,0) and (0,6) respectively. The length of AB is 10 units. The coordinates of point C, which is equidistant from both axes, are (3,3).

Explanation:

To find the coordinates of points A and B, you should find the points where the line intersects the x and y-axes. For the x-axis (y=0), the equation 3x + 4(0) = 24 simplifies to 3x = 24, or x = 8. Therefore, the coordinates of A are (8,0). Similarly, for the y-axis (x=0), the equation 3(0) + 4y = 24 simplifies to 4y = 24, or y = 6. Therefore, the coordinates of B are (0,6).

To find the length of AB, we use the distance formula, √[(x2−x1)²+(y2−y1)²], which results in √[(0-8)²+(6-0)²] = √[64+36] = √100 = 10.

For point C to be equidistant from the x-axis and the y-axis, its coordinates must be the same. Substituting y=x into the equation of the line gives 3x + 4x = 24, or x=3. So the coordinates of C are (3,3).

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in a frog hopping contest,leaping louie finished one Leap ahead of able Mable able Mable was not in last place muddy buddy finish 7 Leaves ahead of hopping Henry hopping Henry finish three leaves behind leapin Louie's leapin Louie finished five leaves behind Dynamite Dixie who won the contest

Answers

Dynamite Dixie won.

- Dynamite Dixie
- Muddy Buddy
-
-
-
- Leaping Louie
- Able Mable
-
- Hopping Henry

select two answers please!!!!!

Answers

Expanding using the distributive property, we get (x-5)*(x-5)=x^2-5x-5x+25=x^2-10x+25. Multiplying that by -6, we get -6x^2+60x-150 . We then add 12 at the end to get -6x^2+60x-138. Using the quadratic formula (since we want the function to equal 0 to find the zeros), we get x=(-60+-sqrt(3600-3312))/(-6*2)=(-60+-sqrt(288))/-12. For sqrt(288), since 12^2=144 and 144*2=288, we can rewrite it as 12*sqrt(2). Putting that back in, we get
(-60+-(12*sqrt(2))/-12. Factoring it out, we get -5+-sqrt(2)=-5+sqrt(2) or -5-sqrt(2) which is C

The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute?

Answers

The speed of this:
70 miles per hour

1 hour = 60 minutes

70/60 = 7/6

around 1 1/6 mile per minute

hope this helps

A class of 144 students voted for a class president. Three fourths of the students voted for you. Of the students who voted for you, 5/9 are female. How many female students voted for you?

Answers

So 144*(3/4)=108. 108*(5/9)=60. 60 females voted for you.

What is 0.81 as a fraction when the 81 is repeating?

Answers

The answer is 81/100

Given the functions, f(x)=x^3+2 and g(x)=x-9, perform the indicated operation. When applicable, state the domain restriction. (f/g)(x)

Answers

the domain of (f/g)(x) considers the domains of g(x) and f(x) and makes sure that g(x)≠0

because (f/g)(x)=f(x)/g(x)
and division by 0 is not allowed

the domains of f(x) and g(x) are all real numbers
now find what make g(x)=0
0=x-9
9=x

9 is restricted from the domain
domain is all real numbers except 9


so
[tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}=[/tex]
[tex]\frac{x^3+2}{x-9}[/tex]
the domain is all real numbers except for 9

Final answer:

To divide f(x) by g(x), we get [tex](f/g)(x) = (x^3 + 2) / (x - 9)[/tex] with a domain restriction where x cannot equal 9 because division by zero is undefined.

Explanation:

To perform the indicated operation (f/g)(x), we divide the function f(x) by the function g(x). Given[tex]f(x)=x^3+2[/tex] and g(x)=x-9, we have:

[tex](f/g)(x) = (x^3 + 2) / (x - 9).[/tex]

There is a domain restriction for the function g(x) because we cannot divide by zero. Therefore, the value that makes g(x) = 0 must be excluded from the domain of (f/g)(x). In this case, the domain restriction is x ≠ 9, as 9 would make the denominator zero.

If 3x - 1 = 11, what is the value of x2 + x?

Answers

Okay. 3x - 1 is 11. Add 1 to both sides and you'll get 3x = 12. Divide both sides by 3, and you'll get x = 4. In this case, the problem will be written out as 4 * 2 + 4. Do order of operations. For this problem, we multiply first. 4 * 2 is 8. Next, we add. 8 + 4 = 12. The value of x2 + x is 12.

The value of x² + x will be 20 when 3x - 1 = 11 .

Given, equation : 3x - 1 = 11

Firstly find the value of x from the equation .

Equation : 3x - 1 = 11

3x = 11 + 1

3x = 12

x = 4

Substitute x in x² + x .

= (4)² + 4

= 20

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Circle D is shown with the measures of the minor arcs. Which segments are congruent? EH and EF GH and FE FG and EH EF and GF

Answers

I can't really answer this problem if we focus only on the given information. However, I found a similar problem to this with a given diagram. This is shown in the picture attached. As you can observe, two arcs have equal measures of 65° and two have measures of 115°. Thus, the congruent arcs are: EH = HG and EF = GF.

Answer:

The answer is D or "EF and GF"

Step-by-step explanation:

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