If one inch represents 6 feet, what dimensions would you use to make a scale drawing of a building 240 feet by 500 feet?
Answer: It would be 40 inches by 83 1/3 inches
Step-by-step explanation:
The dimensions on the scale drawings will be 40 inches by 83.34 inches.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that If one inch represents 6 feet. The dimensions of 240 feet by 500 feet in the scale drawing will be,
6 feet = 1 inch
1 feet = 1 / 6 inch
240 feet = ( 240 / 6 ) inches
240 feet = 40 inches
500 feet = ( 500 / 6 ) inches
500 feet = 83.34 inches
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A theater has 18 rows of seats. There are 22 seats in the first row, 26 seats in the second row, 30
seats in the third row, and so on. Which of the following is a recursive formula for the arithmetic
sequence that represents this situation
Answer:
f(n) = 18 + 4n
Step-by-step explanation:
= 22 + 4(n-1)
= 22 + 4n - 4
= 18 + 4n
The formula used for the arithematic sequence will be f(n) = 18 + 4n
What is an arithmetic sequence?An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.
Given that:-
A theater has 18 rows of seats. There are 22 seats in the first row, 26 seats in the second row, 30 seats in the third row, and so on
The formula will be given as follows:-
f(n)= 22 + 4(n-1)
f(n)= 22 + 4n - 4
f(n)= 18 + 4n
Therefore the formula used for the arithmetic sequence will be f(n) = 18 + 4n
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simplifying the ratio of 65:91
Answer:
3:5
Step-by-step explanation:
divide both sides by 13
Hazel invested part of a Php10,000 inheritance in stocks paying 6.5%
simple interest annually. She invested the rest in bonds paying 4.25% simple
interest annually. If Hazel will receive Php 582.50 in interest after one year,
how much did she invest in stocks? How much did she invest in bonds?
Answer:
she invested $7013.33 in stocks and she invested $2986.7 in bonds?
Step-by-step explanation:
Let the amount invested in the stock= X
Let the amount invested in the bond= Y
For quantity equation,
X + Y = 10000 ............eqn(1)
✓We are told inheritance in stocks paying 6.5% simple interest = 0.065X
✓we are told She invested the rest in bonds paying 4.25% simple interest= 0.0425Y
The interest equation can be written as
0.065X + 0.0425Y = 582.50.........eqn(2)
We can make X subject of formula from eqn(1)
X= 10000 - Y
Substitute into eqn (2)
0.065(1000-Y) + 0.0425Y= 582.50
Multiply through by 10000
650(10000 - Y) + 425Y = 5825000
6500000 - 650Y + 425Y =5825000
Y= 2986.66
If we substitute Y into (X + Y )= 10000
X+2986.66= 10000
X= 7013.33
hence, she invested $7013.33 in stocks and she invested $2986.7 in bonds?
a group of 65 adults were surveyed about their favorite healthy snack. approximately how many adults out of the 65 surveyed chose banana chips as their favorite?
Answer:
A
Step-by-step explanation:
23%×65≈14.95≈15
Answer:
15 is the answer a
Step-by-step explanation:
.23×65=14.95
About 1.15 million people live in a circular region with a population density of 18075 people per kilometer. Find the radius of the region
Answer:
r = 5 km
Step-by-step explanation:
Given that,
The population in a circular region = 1.15 million
The population density of the region = 18075 people per kilometer
We need to find the radius of the region.
We can find the area of circular region i.e.
[tex]A=\dfrac{P}{d}\\\\A=\dfrac{1.15\times 10^6}{18075 }\\A=63.6\ km^2[/tex]
We know that the area of a circular region is given by :
[tex]A=\pi r^2\\\\\pi r^2=63.6\\\\r=\sqrt{\dfrac{63.6}{\pi}} \\\\r=4.49\ km[/tex]
or
r = 5 km
So, the radius of the region is equal to 5 km.
2 ways you could show each amount of money
Answer:
You can show the amount of money by using a model or to show equations.
Step-by-step explanation:
Identifying a binomial experiment
In a study conducted by the sponsoring organization of an academic conference, attendees were classified during registration into one of three categories according to their field of interest: General, Applied, or Theoretical. Of the 400 people in attendance, 200 were classified as General, 60 were classified as Applied, and 140 were classified as Theoretical. You randomly select three registration cards (with replacement) of attendees of the conference and record their fields of interest.
This experiment______a binomial experiment.
When you select a registration card, the probabilities associated with each outcome are:
Outcome Probability
General 0.35
Applied 0.45
Theoretical 0.20
Let X be the number of card selections with outcome "General." Then X is a_____binomial random variable with mean E(X) =_____and standard deviation =______.
Answer:
Step-by-step explanation:
[tex]\text{This experiment is a binomial experiment}}[/tex]
[tex]\text{ The outcome of general = 0.35}[/tex]
[tex]So; If[/tex] [tex]X \sim Binomial (n = 3,p= 0.35)[/tex]
[tex]Then;[/tex]
[tex]Mean,[/tex] [tex]E(X) = np[/tex]
[tex]E(X) = (3)(0.35) \\ \\ E(X) = 1.05[/tex]
[tex]\text{Standard deviation:}[/tex]
[tex]\sigma= \sqrt{np(1-p)} \\ \\ = \sqrt{(3)(0.35)(1-0.35)} \\ \\ =0.826[/tex]
[tex]Thus;[/tex]
[tex]\text{Let X be the number of card selections with outcome "General."}[/tex]
[tex]\mathbf{ Then \ X \ is \ a\ binomial \ random \ variable \ with \ mean \ E(X) \ = \ 1.05}[/tex]
[tex]\mathbf{and \ standard \ deviation = 0.826}[/tex]
I need the answer please
Answer:
probs c
Step-by-step explanation:
can someone awnser this pls decrease 760 by 15%
The area of the triangle below is 8.91 square inches. What is the length of the base?
2.2 in
Answer:
8.1
Step-by-step explanation:
Area of a triangle = ½ × base × height = Area
Rearranged =
area/1/2xheight
The base is the length.
8.91/1/2x2.2
=8.1 inches
WILL mark brainlest plss help me
Answer:
complementary angles. Also, your welcome :)
Step-by-step explanation:
Complementary angle
If u give me the brainliest then thank u so much, if not then its ok :)
PLEASE HELP THIS IS WORTH 20 POINTS PLUS ILL GIVE BRAINIEST
Find the area of the figure.
Answer:
The height is 57.5
Step-by-step explanation:
To find the height, you would use the equation h= 2 a/a+b
So you would insert the numbers and turn the equation into 2(6555/ 123+105)
Then you would solve.
After solving, you will find that H= 57.5
Hope this helped! If it helped please give brainliest!
4x³+6x² Guys please Factorise
Answer:
[tex]2x^2(2x+3)[/tex]
Step-by-step explanation:
Find the greatest common factor of both, which would be [tex]2x^2[/tex].
Then, use the distributive property to rewrite it:
[tex]4x^2 + 6x^2 = 2x^2 * 2x + 2x^2 * 3 = 2x^2(2x + 3)[/tex]
look at the picture I attached
Answer:
20
Step-by-step explanation:
hope this helps
Answer:
-4
Step-by-step explanation:
when you add a negative, you are subtracting it still. the same way you get to 12 from 8 is by 4. in this situation the 4 would be negative
1. Carlos wants to know the favorite sport of people at his school so he asks his
baseball team
Bias or unbias
If 7 gallons of paint are used to paint 4 classrooms at Cascade Middle
School, then how many gallons of paint would be needed to pain 16
classrooms? Please enter the number value only in the blank.
gallons
Answer: 28 gallons of paint needed to paint 16 classrooms.
Step-by-step explanation:
As 7 gallons Paint 4 classrooms so if we need to paint 16 classrooms which four times 4 classrooms so 7*4=28 gallons will be needed to paint 16 classrooms
What is the function rule for the line? f(x)=−2/3x−2 f(x)=−3/2x−2 f(x)=3/2x−2 f(x)=−3/2x+2 A coordinate grid with x and y axis ranging from negative five to five. The line passes the points begin ordered pair negative 3 comma 0 end ordered pair and begin ordered pair 3 comma negative 4 end ordered pair.
Answer:
The Answer is 2
Step-by-step explanation:
Yihbbbbbbbbbbbbbbbb
Answer:
nose ay aslo solo esfuerzate xd :V
A parallelogram has an area of 329.4 square inches and a height of 18 inches. What is the length of the base?
Answer:
329.4 / 18
18.3
A multivitamin tablet contains 18.5 mg of calcium. How much
calcium does a bottle of 40 tablets contain?
Write your answer in grams.
Answer:
740 mg of calcium is the correct answer
I NEED HELP PLZZZ!!!!!!
Answer:
B.
Hope that helps!
Step-by-step explanation:
One third of the marbles were blue. How many of the marbles were blue? Draw a picture to solve the problem
uh
one third?
idunno man
An age a minus 2 plus a number,n Evalvate it a=10 n=4
i think its 12 but i dont know
Layla and Jacob are taking a photography class. Layla took twice as many photos as Jacob, and Jacob took 10 fewer photos than Layla. This situation can be represented with the system y = 2x and y = x +10, which can be used to find the number of photos taken by Jacob x and the number of photos taken by Layla y. Solve using systems of equations by substitution
Answer:
x = 10; y = 20
Step-by-step explanation:
y = 2x
y = x +10
Substitute y of the second equation with 2x.
2x = x + 10
x = 10
y = 2x = 2(10)
y = 20
Answer: x = 10; y = 20
A ball is thrown down off a bridge with a velocity
of 5 m/s. What is its velocity 2 seconds later?
Find the slope (-1,9) and (5,-6)
Answer:
-5/2
Step-by-step explanation:
find the length of the missing side 19 yd 50yd pythagorean theorem
Answer:
the answer is about 53.5
Step-by-step explanation:
724 ×1,248 is even are odd number
→ Name any two figures that have both line symmetry and rotational symmetry.
[tex] \\ [/tex]
Answer:
Two figures that have both line symmetry and rotational symmetry are: Circle and square