Answer:
216 people
Step-by-step explanation:
Given:
2.5 feet² is occupied by 1 person
Dimension of room = 216 in × 360 in
Required:
No. of people that would occupy the room
SOLUTION:
Step 1:
Convert the dimensions of the room from in to ft
Note: 1 foot = 12 inches
216 inches = [tex] \frac{216}{12} = 18 ft [/tex]
360 inches = [tex] \frac{360}{12} = 30 ft [/tex]
Step 2: calculate area of the room.
Area of the room = 30*18 = 540 ft²
Step 3: calculate the no. of people the room will contain.
2.5 ft² will contain one person
Therefore, 540 ft² will contain: [tex] \frac{540}{2.5} = 216 people [/tex]
Factor of 3x-3a+xy-ay
Answer:
(3 - y) & (x - a) are the factors
Step-by-step explanation:
3x-3a+xy-ay
=> 3x - xy - 3a - ay
=> x(3 - y) - a(3 - y)
=> (3 - y)(x - a)
(3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.
Here, we have,
given that,
the expression is : 3x-3a+xy-ay.
now, we have,
To factor the expression 3x - 3a + xy - ay, we can group the terms as follows:
3x-3a+xy-ay
=> (3x - 3a) + (xy - ay)
Now, let's factor out the common factors from each group:
=> 3(x - a) + y(x - a)
Notice that both terms now have a common factor of (x - a).
We can factor out this common factor:
=> (x - a)(3 + y)
Therefore, the factored form of the expression 3x - 3a + xy - ay is (x - a)(3 + y).
Hence, (3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.
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A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a discrete quantitative variable that might be included in the brochure? number of seats type of transmission presence of a sunroof fuel efficiency (in mpg)
Answer:
The correct option is;
Number of seats
Step-by-step explanation:
A quantitative variable is a variable that has a numeric value used to describe the measured characteristic of an item
A discrete variables are countable variables within given finite amount of time
Therefore, a discrete quantitative is a countable variable that indicates the measured value of an item or feature'
In the question, the discrete quantitative variable that might be included in the brochure is Number of seats.
Answer: The number of seats
Step-by-step explanation: Because a discrete quantitative variable is a variable whose value is obtained by counting. you’re welcome:)
7 times the difference of a number and 1
answer: 7(x-1)
hope this helps you
Answer: The answer is 7(x - 1).
Step-by-step explanation:
So far, we know that the givens are:
7 times the difference of a number and 1
We just need to understand what it says:
7 times ( difference of a number and 1)
So "the number" can be any number, but you have to replace it with a variable such as n, s, x, etc. And by the way, difference is from subtraction, the result of the subtraction of 1 from the unknown number. Using this, we get:
7(x - 1)
Hence the answer!
Add: (3x2 - 5x + 6) + (9 - 8x - 4x2) A) 12x2 - 13x + 2 B) 7x2 + 3x - 3 C) 7x2 - 13x + 15 D) -x2 - 13x + 15
Answer:
D
Step-by-step explanation:
So we have the expression:
[tex](3x^2-5x+6)+(9-8x-4x^2)[/tex]
Combine like terms:
[tex]=(3x^2-4x^2)+(-5x-8x)+(6+9)[/tex]
Add or subtract:
[tex]=(-1x^2)+(-13x)+(15)[/tex]
Simplify:
[tex]=-x^2-13x+15[/tex]
Our answer is D
What is the domain for y=2x
Answer:
y ...................
Help..................
Answer:
1) Highest
2) Decreasing / Descending
Step-by-step explanation:
In a standard polynomial , terms are ordered from highest degree to lowest degree.
Zanna’s cousin was born in 1980. If Zanna was born in 1997, how much older, in years, is her cousin?
Answer:
zanna's cousin is 17 years older than zanna
Step-by-step explanation:
Answer:
17 years older
Step-by-step explanation:
1997- 1980 = 17
Combine like terms: 16x+11p-4x-3p
Step-by-step explanation:
Answered... Hope you like it pls follow me.. If you like..
Answer:
Step-by-step explanation:
Like terms have same variables
16x & -4x are like terms
11p & -3p are like terms
16x + 11p - 4x -3p = 16x - 4x + 11p - 3p
= (16- 4)x + (11 - 3) p
= 12x + 8p
In the text box below, write a brief summary about the similarities and differences between Inequality Notation, Set-Builder Notation, and Interval Notation.
Answer and Step-by-step explanation:
Differences:
Interval notation is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example set of all real numbers can be described in interval notation as 0 ≤ x ≤1. Interval notation press the solution set to equality, and it is important to express solution sets in calculus. Set builder notation is a mathematical notation for describing a set by its elements, and their member satisfies' properties.It describes the elements of a set instead of listing the element. For example the set {1, 2, 3, 4, 5, 6, 7, 8, 9} is written in builder notation will be {x/x is a counting number less than 10}.Inequality notation is a relation that makes a non equal comparison between two numbers. Set are also defined by using some inequalities like >, <, ≤, ≥. These are called inequality notations.
Similarities:
The purpose of inequality notation, set builder notation, and interval notation is the same because these notations used to describe a set and the characteristics of each element of a set. When a set is representing in set builder notation, it defines characteristics of elements. If the set is represented in interval notation, we need to know the upper and lower bound set. In inequality notation, the set is described by the graph on a number line.
The volume of a cone is 200.96 cubic yards. What is the radius of the cone if the height is 12 yd? Use pi =3.14 and round your answer to the nearest hundredth.
Answer:
If I'm doing the problem correctly, the radius should be 4 yards.
Step-by-step explanation:
You work the problem backwards. Multiply 200.96 by 3, since it's a cone, so you're working with the volume of what a cylinder would be with the same dimensions. Then divide by the height (12 yd), then divide by pi. You should end up with 16, and 4 squared equals 16. Work the problem forwards from there to check.
4 squared is 16. 16 times 3.14 is 50.24. 50.24 times 12 is 602.88. 602.88 divided by 3 is 200.96.
i have to find the sides of the angles on this photo
Step-by-step explanation:
may be those can be QT and QN
write an equation in point slope form for a line with a slope of -3 that passes through (2, -4)
Answer:
work shown and pictured
What's 1 + 2 x 3 ......................
Answer: 7
Step-by-step explanation:
Use PEMDAS method to solve.
ParenthesesExponentsMultiplication and Division Addition and subtraction.This means to solve all the numbers in order.
----------------------------------------------------------------
1 + 2 × 3
=1 + 6 ⇔ First do multiplication
=7 ⇔ Then do division
These are solving proportions btw! 20/8 = 4k/32
Answer:
k = 20Step-by-step explanation:
[tex] \frac{20}{8} = \frac{4k}{32} [/tex]To find k first of all cross multiply
We have
32k = 640
Divide both sides by 32
That's
[tex] \frac{32k}{32} = \frac{640}{32} [/tex]We have the final answer as
k = 20Hope this helps you
calculate the perimeter of a semi circle whose radius is 21cm
Radius of semicircle r = 21 cm
Perimeter of semicircle
= pi*r + 2r
= (22/7)*21 + 2*21
= 22*3 + 42
= 66 + 42
= 108 cm
Find the radius of Circle N.
Answer:
C = 113.04
Step-by-step explanation:
arc ACB = (Ф/360) * 2πr
81.64 = (260/360) * 2 * π * r
r = (81.64 * 360)
2 * π
r = 17.99 cm
Circumference = 2 * π * r
C = 2 * π * 17.99
C = 113.04
The formula for the area of a triangle is A = 1/2bh, in which b represents the length of the base and h represents the height. If a triangle has an area of 328 mm^2 and the height is 16 mm, what is the measure of the base?
Answer:
b = 41 mmStep-by-step explanation:
From the question
Area of a triangle is given by
[tex]A = \frac{1}{2} bh[/tex]
where
b is the length of the base
h is the height
From the question
Area = 328 mm²
height = 16 mm
Substitute the values into the above formula and solve for the height
We have
[tex]328 = \frac{1}{2} \times 16b \\ 328 = 8b[/tex]
Divide both sides by 8
We have the final answer as
b = 41 mmHope this helps you
what comes before one in the natural numbers
Answer:
Actually nothing comes before 1 in the natural numbers. 1 is first natural number.
Step-by-step explanation:
well 0 comes before 1 but it's not nature number.
hope it helped you:)
Which algebraic expression represents this word description?
The quotient of nine and the sum of a number and one
Answer: [tex]9\div (x+1)[/tex]
Step-by-step explanation:
In algebra, Quotient of a and b is expressed as [tex]a\div b[/tex] .
Given phrase: The quotient of nine and the sum of a number and one
Let the number be x.
Then, the statement become: The quotient of nine and the sum of x and one.
i.e. [tex]9\div (x+1)[/tex] [since sum of x and 1 = x+1]
Hence, the algebraic expression represents the given word description is [tex]9\div (x+1)[/tex] .
Answer:
9 divided (x+1)
Step-by-step explanation:
apeex
A planter in the shape of a cube has a volume of l000 in to the 3rd power. Is the area of the base of the cube greater than or less 1 square foot? Explain
What is the value of the expression below when y=8 and z=8? 10y-3z
Answer:
56
Step-by-step explanation:
We are given the expression:
10y-3z
and asked to find the value when y=8 and z=8. Therefore, we must substitute 8 in for both y and z.
10(8)-3(8)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition and Subtraction.
Multiply 10 and 8.
(10*8) -3(8)
80-3(8)
Multiply 3 and 8.
80 - (3*8)
80- 24
Subtract 24 from 80.
(80-24)
56
The value of the expression 10y-3z when y=8 and z=8 is 56.
For how many games is the total cost of bowling equal for the two bowling establishments? Family bowling game $4, shoes $1. Knight owl bowling game $3.75, shoes $2.
Answer: If you play 4 games, the price will be the same in the two establishments.
Step-by-step explanation:
Ok, in Family Bowling we have:
$4 per game, plus $1 per shoes (the shoes are paid only one time).
Then, the price for X games, is:
Pa(X) = $4*X + $1.
In Knight Owl Bowling we have:
$3.75 per game and $2 for the shoes, the price for X games will be:
Pb(X) = $3.75*X + $2.
Now, if we want to pay the same in both establishments, we have:
Pa(X) = Pb(x)
$4*X + $1 = $3.75*X + $2
Now we should solve this for X.
$4*X - $3.75*X = $2 - $1 = $1
($4 - $3.75)*X = $1
$0.25*X = $1
X = $1/$0.25 = 4.
If you play 4 games, the price will be the same in the two establishments.
Explain Mathematical Ideas (1)(G) A classmate questions your solution to
the problem. Use precise mathematical language to explain why your solution
is correct.
Drag the numbers to order them from least to greatest.
Answer:
[tex]\sqrt{7}[/tex], 2.8, [tex]\pi[/tex], [tex]\sqrt{17}[/tex], 4.6
Step-by-step explanation:
To order the numbers from least to greatest turn all the numbers into decimal form.
[tex]\sqrt{7}[/tex]: 2.65
[tex]\sqrt{17}[/tex]: 4.12
[tex]\pi[/tex]: 3.14
4.6
2.8
Now order them from least to greatest (make sure you put the numbers back into their original form)
[tex]\sqrt{7}[/tex], 2.8, [tex]\pi[/tex], [tex]\sqrt{17}[/tex], 4.6
The numbers in the form of least to greatest will be [tex]\sqrt{7}[/tex], [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], 4.6.
What are rational and irrational numbers ?Rational numbers are those numbers which have terminating,Repeating or recurring digits after the decimal place.
Irrational numbers have non-repeating, non-recurring non-terminating digits after the decimal place.
According to the given question we have to order the number from least to greatest.
Given number are 4.6, [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], [tex]\sqrt{7}[/tex].
We know the value of π is 3.14 approx and square root of 17 lies between square root of 16 and 25 which are 4 and 5 but more close to 4 and square root of 7 lies between square root of 4 and 9 which are 2 and 3.
∴ The given numbers in increasing order will be
[tex]\sqrt{7}[/tex], [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], 4.6.
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what is the mean of 10.4, 10.3, 11.7, 11.1, 8.0, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5
Answer:
This is rational number but it is non -torminating
81 divided by 9 =
please help i do not understand this
Answer:
_______
its 9
_________
Answer:
-9
Step-by-step explanation:
9 x 9 = 81, so
-81/9 = -9
the king,queen,Jack and 10 all of a spades are lost from a pack of 52 playing cards a card is drawn from our remaining well shuffled pack
1.)The probability of getting a king is
2.)The probability of getting a black card is
Answer:
The probability of getting a king is = 1/16.
The probability of getting a black card is = 11/24.
Solve the following equation for n.
1) 5(-5 + n) =-3 – 6n
A) 2
B) {-9)
C) {7} D) {16
Answer:
A
Step-by-step explanation:
5 (-5 + n) = -3 - 6n
-25 + 5n = -3 - 6n
-25 + 11n = -3
11n = 22
n = 2
dale drove 223 miles using 10 gallons of gas. at this rate, how many miles would he drive using 9 gallons of gas?
Answer:
200,7 miles
Step-by-step explanation:
Proportions:
223 miles ⇔ 10 gallons
D miles ⇔ 9 gallons
D = 223*9/10
D = 200.7 miles
Answer:
The answer is
200.7 milesStep-by-step explanation:
In order to find the number of miles he drove we use ratio and proportion
From the question
If he used 10 gallons while driving 223 miles
The 9 gallons will be
[tex] \frac{223 \times 9}{10} [/tex]= 200.7 milesHope this helps you
3. The first four terms of a sequence are:
T2 = 12+ 22
T3 = 12 + 22 + 32
T4 = 12 + 22 + 32 +42
T1 = 12
The n" term is given by Tn=n(n + 1)(2n + 1).
Work out the value of T23.
Step-by-step explanation:
tn=n(n+1)(2n+1)
t23=23(23+1)(2*23+1)
t23=36754
Answer:
The 23rd term is 2806.
Step-by-step explanation:
The other answerer has used the formula but i'm answering from the assumption that T1 to T4 are correct.
Each term is the sum of n terms of an arithmetic series with first term a1 = 12 and common difference d = 10.
Sum of n terms = (n/2)[2a1 + d(n - 1)]
So the sum of 23 terms =
= 23/2 (2*12 + 10 * 22)
= 11.5 * 244
= 2806.