Answer:
15 feets 2 inches
Step-by-step explanation:
Given the widths :
1st dresser = 5 feets 5 inches
2nd dresser = 5 feets 10 inches
3rd dresser = 3 feets 11 inches
Their combined width is :
5ft + 5ft + 3 ft + 5in + 10in + 11in
13 feets 26 inches
Recall :
1 foot = 12 inches
26 inches = 26/12 feets = 2 feets 2 inches
Hence,
13 feets + 2feets 2 inches
Combined width = 15 feets 2 inches
a room in a form of a cuboid has a length of 5cm, height 8cm and breadth 0.07m. if one person can occupy a volume of 14cm3(cube). what is the maximum number of people needed to fill the room
Answer:
20 people
Step-by-step explanation:
The volume of a cuboid is equal to length * breadth * height.
First, we want to figure out the values relative to each other. Everything is in centimeters except the breadth, which is 0.07m. To convert meters to centimeters, we can multiply by 100: 0.07 * 100 = 7, so the breadth is 7cm.
Next, the volume is length * breadth * height = 5cm * 7cm * 8cm = 280cm³. Each person occupies 14cm³. To find how many people can occupy the cube, we can divide the volume by the space each person takes, so
280cm³/14cm³ = 20 people
Note that we can divide because each person takes x amount of space, and the total space, z, can be represented by x * y = z, with y representing the amount of people, because we add x space for each person. Dividing both sides by x, we get y = z/x
Sarah earned 45 1/2 dollars in 5 3/4 minutes. What is the unit rate in dollars per
minute?
Answer:
7 21/23 dollars per minute
Step-by-step explanation:
Total amount Sarah earns = 45 1/2 dollars
Time taken to earn = 5 3/4 minutes
What is the unit rate in dollars per
minute?
unit rate in dollars per
minute = Total amount Sarah earns / Time taken to earn
= 45 1/2 ÷ 5 3/4
= 91/2 ÷ 23/4
= 91/2 × 4/23
= (91 * 4) / (2 * 23)
= 364/46
= 7 42/46
= 7 21/23 dollars per minute
unit rate in dollars per
minute = 7 21/23 dollars per minute
If there are 3000 people in a room, what is the probability they have watched a video with 80k views?
Answer:
The answer is 26.667 ..
Step-by-step explanation:
80k/3000
Sarah is going from home to school then to the library to study and finally to the part to meet with friends before going home. Find the distance Sarah will travel today based on the locations of each stop on the coordinate plane. Include:
Distances between all 4 locations
Total distance
The method used for each calculation
Sarah’s house (2,-5)
The school (2,4)
Library (-3,4)
Park (-3,-5)
Answer:
i) The distance between Sarah's house and the school is 9
ii) The distance between the school and the library is 5
iii) The distance between the library and the park is 9
iv) The distance between the park and Sarah's house is 5
2) The total distance Sarah travels is 28
Step-by-step explanation:
The given coordinates of the locations are;
Sarah's house (2, -5)
The school (2, 4)
Library (-3, 4)
Park (-3, -5)
Sarah's journey is; From the house → The school → Library → Park → House
The distance, d, between two coordinate points, (x₁, y₁) and (x₂, y₂) is given as follows;
d = [tex]\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
i) Therefore, the distance between Sarah's house ((x₁, y₁) = (2, -5)) and the school ((x₂, y₂) = (2, 4)), d₁, is d₁ = √((2 - 2)² + (4 - (-5))²) = 9
Sarah's house → The school = 9
ii) The distance between the school ((x₁, y₁) = (2, 4)), and the library, ((x₂, y₂) = (-3, 4)), d₂ = √((-3 - 2)² + (4 - 4)²) = 5
The school → Library = 5
iii) The distance between the library ((x₁, y₁) = (-3, 4)), and the park ((x₂, y₂) = (-3, -5)), d₃ = √((-3 - (-3))² + (-5 - 4)²) = 9
The library → The park = 9
iv) The distance between the park ((x₁, y₁) = (-3, -5)), and Sarah's house ((x₂, y₂) = (2, -5)), d₃ = √((2 - (-3))² + (-5 - (-5))²) = 5
The park → Sarah's house → 5
2) The total distance = 9 + 5 + 9 + 5 = 28.
Use the formula to compute Isabel’s monthly loan payment, assuming that she makes a down payment of $5,000. Recall that the table shows she’ll finance $16,950, and her interest rate is 4.3%.
Type the correct answer in the box. Round the answer to the nearest dollar.
Isabel’s monthly loan payment will be about $
.
Answer:
314
Step-by-step explanation:
unit activity
Choose the correct sum of the polynomials (6x3 − 8x − 5) + (3x3 + 6x + 2).
Answer:
9x³ - 2x - 3
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(6x³ - 8x - 5) + (3x³ + 6x + 2)
Step 2: Simplify
Combine like terms (x³): 9x³ - 8x - 5 + 6x + 2Combine like terms (x): 9x³ - 2x - 5 + 2Combine like terms: 9x³ - 2x - 3The doubling time of a population of flies is 5 hours. By what factor does the population increase in 29 hours? By what factor does the population increase in 3 weeks?
Answer:
If it doubles every 8 hours then
population = initial population * 2 ^ (hours / 8)
********************************************---------
after 26 hours
population increases by a factor of
2 ^ (26 / 8) = 9.51365692
************************************************--------
after 1 week, or 168 hours
population increases by a factor of
2 ^ (168 / 8) = 2 ^ 21 = 2,097,152
The area of this rectangle is 3x2. What does the coefficient 3 mean in terms
of the problem?
width x
length 3x
Answer:
the answer is 3x the width
The number -8 lies to the right of ___________ on the number line.
8
0
-6
-12
Answer:
-6
Step-by-step explanation:
-123456789101112131415
2) Find the sum of the first 50 terms of the
following series, to the nearest integer.
6, 10, 14,...
Answer:
The sum of the first 50 is 5200
Step-by-step explanation:The given sequence is a linear sequence.
So, first we calculate the common difference
d=t2-t1
d=10-6=4
The sum of the first 50 terms is then calculated using: sorry it wont let me copy and paste my explo and im lazy
Answer:
5,200
Step-by-step explanation:
6, 10, 14, ...
Sum = [ number of terms(first term+last term) ] / 2
-we know there are 50 terms
-we now the first term is 6
-we need to find the last term
last term = first term + (n-1)* difference between first and second term
last term = 6 + (50-1) * (10-6)
last term = 6 + 49*4 = 202
Sum = [ number of terms(first term+last term) ] / 2
Sum = [ 50 ( 6 + 202) ] / 2 = 5,200
What is the value of y?
Answer:
C
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angles
y + y = 130
2y = 130
Divide both sides by 2
y = 130/2
y = 65
Answer:
C.65
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
y+y = 130
2y = 130 divide both sides by 2
y = 65
Which values for h and k are used to write the function f(x) = x2 + 12x + 6 in vertex form?
h=6, k=36
h=-6, k=-36
h=6, k=30
hs-6, k=-30
Someone please help me with this I can’t fail this test !
complete the given magic square with consecutive numbers from 6 to 14 having magic constant 30
Step-by-step explanation:
the answer is in the image above
The required magic square with consecutive numbers from 6 to 14 having a magic constant of 30 is.
| 13 | 6 | 11 |
| 8 | 10 | 12 |
| 9 | 14 | 7 |
What is a magic square?A magic square is a square grid filled with consecutive integers in a way that all rows, columns, and diagonals have the same sum, known as the magic constant.
Here,
To complete the given magic square with consecutive numbers from 6 to 14 having a magic constant of 30, we can follow these steps:
Step 1: Write the partially filled magic square:
Step 2: Calculate the sum of the known numbers:
Step 3: Calculate the sum of the missing numbers:
Step 4: Distribute the missing numbers in the empty cells in a way that the sum of all rows, columns, and diagonals is equal to the magic constant of 30.
We know that the center cell must be 12, because it is the only cell that can be part of three different diagonals.
We can check that all rows, columns, and diagonals add up to 30:
| 13 | 6 | 11 |
| 8 | 10 | 12 |
| 9 | 14 | 7 |
Learn more about magic square here:
https://brainly.com/question/28675556
#SPJ2
Help Please!!!
Find The Lateral surface area of this cylinder
Answer:
LSA = 56.5 cm²
Step-by-step explanation:
LSA = 2πrh
LSA = 2π(3)(3)
LSA = 56.5 cm²
find the two rational number between -2 and-1
Answer:
-3/2, -7/4
Step-by-step explanation:
The numbers have to be negative, and two rational numbers between -1 and -2 are -1.5 and -1.75 and fortunately for us, both are rational (can be expressed as fractions), -1.5 = -3/2 and -1.75 = -7/4
HPH (Happy to help)
Suppose △ABC≅△LMN.
Which other congruency statements are correct?
Select each correct answer.
△BAC≅△MLN
△BCA≅△NML
△ACB≅△LNM
△CBA≅△M
if so then let's say just want to try am new MNL
50 points
128:x = 4:3
Solve for x
Answer:
x = 96
Step-by-step explanation:
[tex]\frac{128}{x}: \frac{4}{3}[/tex]
x · 4 = 128 · 3
4x = 384
4x ÷ 4 = 384 ÷ 4
x = 96
in which figure , AB || CD . determine x
☝︎☝︎☝︎☝︎☝︎
[tex]{\underline{\fcolorbox{White}{yellow}{ANSWER♥︎}}}[/tex]See the attachment☝︎☝︎☝︎....FOR EASY BRAINLIEST ANSWER AND EXPLAIN!! ASAP
QUESTION: A 30minute radio program, the entertainment portion lasts 2 minutes longer than 3 times the duration of the commercial portion. How much is devoted to commercials during the 30 minutes
Please help as soon as possible.
Answer:
C = 37.6991
Step-by-step explanation:
The equation for the circumference of a circle is given: C = π · d
where, d is the diameter of the circle.
Plug in the value of d = 12 and use the π button on the calculator.
C = π · 12
C = 37.6991
f(x) = -22 – 14
Find f(9)
Answer:
-4
Step-by-step explanation:
f(9)=-22-14
f(9)=-36
f multiplied by 9divide by 9=-36divide by 9
f=-4
Point A(3,8)
and point B(−1,1)
are located within the coordinate plane.
what is the distance from A to B?
Answer:
[tex]\displaystyle d = \sqrt{65}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point A(3, 8)
Point B(-1, 1)
Step 2: Find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-1 - 3)^2 + (1 - 8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-4)^2 + (-7)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{16 + 49}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{65}[/tex]Answer:
8.1
Step-by-step explanation:
the person who posted before was correct! they just forgot to change the format of the answer, see their response for an accurrate explanation :)
Simplify (x-4)(3x^3-6x+2)
Answer:
Step-by-step explanation:
[tex](x-4) (3x^{3} -6x+2)[/tex]
= [tex]3x^{4} -6x^{2} +2x -12x^{3} +24x-8[/tex]
= [tex]3x^{4} -12x^{3} -6x^{2} +26x-8[/tex]
I hope this helps and the working out is clear. :)
1234+1234567912345678901342=?
12345678912345678902576
The median observation are arranged in ascending are 72,74,75,5x-10,3x+30,85,88,94.If the median mark is 82 ,find the value of x
Step-by-step explanation:
The position of the median of an even data set is 1/2(8+1)=4.5
That is between two values, 4 and 5.
(5x-10+3x+30)/2=82
(8x+20)/2=82
(8x+20)=41
8x=41-20
8x=21
x=21/8
Someone, please help me on this one
Answer:
D
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 4x² + 7x - 3 + 6x³ - 7x² - 5 ← collect like terms
= 6x³ - 3x² + 7x - 8
Answer:
D. (f + g )( x ) = 6x³ - 3x² + 7x - 8
Step-by-step explanation:
Given :-
f ( x ) = 4x² + 7x - 3.g ( x ) = 6x³ - 7x² - 5.To Find :-
( f + g ) ( x ).Solution :-
(f + g )( x ) = 4x² + 7x - 3 + 6x³ - 7x² - 5.
Arranging like terms.
(f + g )( x ) = 6x³ - 7x² + 4x² + 7x -5 - 3
Combine like terms.
(f + g )( x ) = 6x³ - 3x² + 7x - 8
ASAP please help meeeeeeeeeee
Answer:
Step-by-step explanation:
1/16 + 1/2 = 1/16 + 8/16 = 9/16
48 is exactly divisible by
Answer:
2, 3, 4, 6, 8, 12, 16, 24, 48.
Step-by-step explanation:
Factors of 48 is 2, 3, 4, 6, 8, 12, 16, 24, 48.
48 is exactly divisible by factors of 48.
Make x the subject of the formula y=4x²-2
Step-by-step explanation:
y=4x²-2y+2=4x²√(y+2)/4=xx=√(y+2)/4hope it helps.stay safe healthy and happy....whose perfect square should be added to the sum of the greatest three-digit prime number and the smallest two-digit prime number, so that the resultant number is perfect square of 32?
The greatest 3 digit prime number is 997 and the smallest 2 digit prime number is 11. 997+11 = 1008
32^2 = 1024
1024-1008 = 16.
root(16) = 4