Question:
A room is half as long again as it is board. The cost of carpeting the room at Rs. 3.25 per m² is Rs 175.50 and the cost of papering the walls at Rs 1.40 per m² is Rs 240.80. If 1 door and 2 windows occupy 8 m² , find the dimensions of the room.
[tex] \rule{200pt}{5pt}[/tex]
Don't Spam ❎
Given A room is half as long again as it is broad
Let the breadth of the room x m
length of the room x + x/2 = 3x/2m
Area of the room , x × 3x/2 = 3x²/2m
Given , cost of carpeting the room at Rs. 3.25m⁻²
So , total cost , 3x²/2 × 3.25
But , Total cost of carpeting is given as 175.50 so ,
(3x²/2 )× 3.25 = 175.50 x² = 175.50 × 2 / 3.25 × 3 x² = 36 x = 6 Breadth x = 6 mlength 3x/2 = 9mlet the height of the room H m
Area of the four wall = 2(L+ b)× h 2(6+9)× H
= 30H m²
Area of the of the one door and two window is 8m²
8m² Area to be prepared = Area of four wall - area of two window and 1 door = (30H - 8) m²
Given cost of preparing wall is Rs. 1.40m²
total cost of preparing wall is (30H - 8) × 1.40
Total cost of preparing wall is given as 240.80
comparing , (30H - 8 ) × 1.40 = 240.80
(30H - 8 ) = 240.80 /1.40 = 172 30H -. 8 = 172 30H = 180 H = 180/30 = 6Hence, Dimensions of the room are lengths 9m , breadth 6m and height 6m
Please help!!! a ramp is 3 feet high. the angle of elevation is 5 degrees. how long is the ramp to the nearest foot?
Answer:
J
Step-by-step explanation:
Start by labelling the sides of the triangle. The length of the ramp is the hypotenuse side, while the height of the ramp is the opposite side.
[tex]\textcolor{steelblue}{ \sinθ = \frac{opp}{hyp} }[/tex]
Let the length of the ramp be x.
[tex] \sin5° = \frac{3}{x} [/tex]
Multiply x on both sides:
x(sin5°)= 3
[tex]x = \frac{3}{ \sin5°} [/tex]
x= 34.4 (3 s.f.)
Thus, the length of the ramp is 34 ft. (nearest foot)
Use the Distributive Property to simplify the following expression. a: 4(x+2) b; -5(9+x) c: 7(x-3)
Type down when answering how you got the answers
=======================================================
The Distributive Property states the following:-
[tex]\longrightarrow\sf{a(b+c)=ab+ac[/tex]
Where
[tex]\longrightarrow\sf{a,~b,~and~c~can~be~either~constants~or~variables}[/tex]
Now, let's use this property to simplify our expressions.
The first one is
[tex]\bigstar{\underline{\boxed{{4(x+2)}}}[/tex]
Simplify by distributing 4:-
[tex]\longrightarrow\sf{4~times~x~+4~times~2}[/tex]
Add the products:-
[tex]\longrightarrow\sf{4x+8}[/tex]
[tex]\rule{250}{2}[/tex]
Solve the next one:-
[tex]\bigstar{\underline{\boxed{\sf{-5(9+x)}}}[/tex]
Distribute -5 & add the products:-
[tex]\longrightarrow\sf{-45-5x}[/tex]
[tex]\rule{250}{2}[/tex]
Solve the last one:-
[tex]\bigstar{\underline{\boxed{7(x-3)}}[/tex]
Distribute 7:-
[tex]\longrightarrow\sf{7x-21}[/tex]
======================================================
note:-Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
Please help! will give brainlest!
Answer:
Option 2 hope it helps pls mark as the brainliest
Which choices are equivalent to the quotient below? Check all that apply.
Answer:
C
Step-by-step explanation:
4
_
2 can be multiple by 3 and that will be same as 12
_
6
What is the probability that a student chosen randomly from the class is a male who does not have an A?
Answer:
6/19
Step-by-step explanation:
2+4+7+6=19
dose not have an a=6
6/19
Mr. Goldsman runs on the elliptical for 12 minutes for every 5 minutes that Kirby runs (he's not as athletic as Mr. Goldsman). If Mr. Goldsman runs for one and a half hours, how long did Kirby run?
Hint: Make sure all of your times are in minutes!!!!
If Mr. Goldsman runs for one and a half hours, Kirby runs for 37 minutes 30 seconds.
How many minutes did Kirby run for?The first step is to determine how many minutes kirby would run for every minute Mr Goldsman runs
Rate = 5/12
The second step is to multiply the rate by the minutes run by Mr Goldsman.
5/12 x 90 = 37.5
= 37 minutes 30 seconds
To learn more about how to calculate time, please check: https://brainly.com/question/26290873
HALP PLSSSSSSSS will give brainliset
Answer:
ezz multiply and see what it s if its wrong then txt me
Step-by-step explanation:
A shoebox has a length of 1 1/4 feet, a width of 1 foot, and a height of 1/2 foot cubes that measure 1/4 foot on each side are packed into the shoebox. how many of these cubes will fit inside the shoebox
The number of cubes that will fit into the shoebox is 40 cubes
How to calculate the volume of a boxVolume is the measure of a substance an object contains
Volume of the box = length * width * height
Volume of the box = 5/4 * 1 * 1/2
Volume of the box = 5/8cubic unit
Determine the volume of the box
Volume of the box = l³
Volume of the box = (1/4)³ = 1/64 cubic units
Number of cubes = (5/8)/(1/64)
Number of cubes = 5/8 * 64/1
Number of cubes = 5 * 8
Number of cubes = 40 cubes
Hence the number of cubes that will fit into the shoebox is 40 cubes
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Send help haha
Use the drop-down menus to identify the domain and range of each function below.
The drop-down menu has the same options for every one of them.
Please answer correctly ASAP ^
Answer:
Domain: input values (x-values)
Range: output values (y-values)
Absolute value: remove negative sign → output becomes positive
eg. |-2| = 2
Squaring a number → output is always positive
[tex]a(x)=3|x|[/tex]
Domain = all real numbers
Range = all positive numbers and zero
[tex]b(x)=3x^2[/tex]
Domain = all real numbers
Range = all positive numbers and zero
another retake !! help it’s due today
Answer:
Maurico started with more :)
Step-by-step explanation:
Mariah started with 150 while Maurico started with around 190 so he has more to start with :)
Have a great day!
Please rate and mark brainliest!
Answer:
Mauricio
Step-by-step explanation:
To find who started with more money in their savings account, we want to observe the savings in $ when time=0 years
So by looking at the table of Mariah's savings, we see that when t=0 she had S=150$
By looking at the graph which describes Muaricio's savings as a function of time, we can see that when time=0 or x=0, y=S=190$
In other words, the y-intercept is the initial amount of savings.
190>150
:P
Hope this helps, it would be appreciated if you made me brainliest.
Which statement is true about the discontinuities of the function f(x)? f (x) = StartFraction x 1 Over 6 x squared minus 7 x minus 3 EndFraction.
An asymptote is a straight line that approaches a curve indefinitely but does not intersect at any point. There are asymptotes at t [tex]\dfrac{3}{2}\rm\ and\ \dfrac{-1}{3}[/tex].
What is an asymptote?An asymptote is a straight line that approaches a curve indefinitely but does not intersect at any point. In other words, when a curve approaches infinity, it approaches an asymptote line.
The function that is given to us is:
[tex]f(x)=\dfrac{x+1}{6x^2-7x-3}[/tex]
As in the function, there is a fraction therefore, the denominator should not be zero in order for the function to be defined. Therefore, there are asymptotes at
[tex]6x^2-7x-3 = 0\\[/tex]
Substituting the value in the formula of the quadratic equation we will get,
[tex]D=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\D = \dfrac{-(-7)\pm\sqrt{(-7)^2-4(6)(-3)}}{2(6)}\\\\D =\dfrac{-(-7)\pm\sqrt{11}}{12} = \dfrac{3}{2}, \dfrac{-1}{3}[/tex]
Thus, there are asymptotes at [tex]\dfrac{3}{2}\rm\ and\ \dfrac{-1}{3}[/tex].
Learn more about Asymptotes:
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help!
Fill in the empty spaces with monomials that make each equality
into an
indentity.
(3x - ...)? = 9x2 - 6x +1
Answer:
1
Step-by-step explanation:
The square of the value in the empty space is the constant in the expanded expression. That is ...
[ ]² = 1
The value in the space is ...
[ ] = √1 = 1
The filled-in equation is ...
(3x -1)² = 9x² -6x +1
_____
The expansion of the square of a binomial is ...
(ax -b)² = a²x² -2abx +b²
Above, we used the constant term to find 'b', but we could also have used the linear term:
-6x = -2(3)bx . . . . . a=3 in this problem
1 = b . . . . . . . divide by -6x
If 2sinθ=65, what is cos(90°−θ)?
A 3/5
B 4/5
C 5/4
D 5/3
Answer: A
Step-by-step explanation:
If 2sinθ = 6/5, then the value of cos (90 - θ) will be 3/5. Then the correct option is A.
How to convert the sine of an angle to some angle of cosine?We can use the fact that:
sinθ = cos(90 - θ)
to convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).
If 2sinθ = 6/5.
Then the value of cos (90 - θ) will be
cos (90 - θ) can be written as sin θ
Then we have
cos (90 - θ) = sin θ
cos (90 - θ) = 3/5
Learn more about sine to cosine conversion here:
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#SPJ2
find the surface area of the cube (above) using its net (below).
Answer:
[tex]surface \: area \: ofa \: cube \: \\ area = \: 6 {a}^{2} \\ 6( {3}^{2} ) \\ 6(9) = 54[/tex]
can some1 explain to me how to do this
Answer:
-5 = log₄(0.0009765625)
4 = log₄(256)
Step-by-step explanation:
Apparently, you want to express a number as a logarithm. That is, you want to find y for some value of x such that ...
x = log₄(y)
Taking antilogs, this is ...
y = 4^x
__
For x =-5, the log expression would be ...
y = 4^-5 = 0.0009765625
log₄(0.0009765625) = -5
__
For x = 4, the log expression would be ...
y = 4^4 = 256
log₄(256) = 4
Reflect the shape A in the line y=5
What are the coordinates of the vertices of the image?
Answer:
(4,5) (4,8)(4,6)
Step-by-step explanation:
So now you're reflecting over the horizontal line that passes through the point (0,5)
:))
Step-by-step explanation:
(4,5),(4,6),(4,8)
the answer is this!
How do you calculate the diameter of a circle
Answer:
diameter is twice the radius ( when given)
find the sum, plss help thanks!
Answers:
5.) [tex]\displaystyle \pm{8\sqrt{3}}[/tex]
4.) [tex]\displaystyle 3\sqrt[5]{3}[/tex]
3.) [tex]\displaystyle \pm{8\sqrt{5}}[/tex]
2.) [tex]\displaystyle 3\sqrt[3]{3}[/tex]
1.) [tex]\displaystyle \pm{3\sqrt{2}}[/tex]
Step-by-step explanations:
5.) [tex]\displaystyle \sqrt{27} + \sqrt{75} \hookrightarrow \pm{3\sqrt{3}} + \pm{5\sqrt{3}} \\ \\ \boxed{\pm{8\sqrt{3}}}[/tex]
4.) [tex]\displaystyle \sqrt[5]{3} + \sqrt[5]{96} \hookrightarrow \sqrt[5]{3} + 2\sqrt[5]{3} \\ \\ \boxed{3\sqrt[5]{3}}[/tex]
3.) [tex]\displaystyle \sqrt{45} + \sqrt{125} \hookrightarrow \pm{3\sqrt{5}} + \pm{5\sqrt{5}} \\ \\ \boxed{\pm{8\sqrt{5}}}[/tex]
2.) [tex]\displaystyle \sqrt[3]{3} + \sqrt[3]{24} \hookrightarrow \sqrt[3]{3} + 2\sqrt[3]{3} \\ \\ \boxed{3\sqrt[3]{3}}[/tex]
1.) [tex]\displaystyle \pm{\sqrt{2}} + \sqrt{8} \hookrightarrow \pm{\sqrt{2}} + \pm{2\sqrt{2}} \\ \\ \boxed{\pm{3\sqrt{2}}}[/tex]
I am joyous to assist you at any time.
hello me again, answer this question, please show work
Answer:
6x
Explanation:
A number is x. 6 x x is written as 6x
Answer:
6x or 6*x
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
6 is multiplied by a number
6x
6 * x
Hope this helps!
WILL MARK BRAINLIST An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Hey there!
The first step in solving this equation is
using the Distributive property & distributing 2:2(7x-3)=9
14x-6=9
Now, add 6 to both sides:
14x=15
Divide both sides by 14:
x=15/14
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning:-)
32 divided by 10-8 divided by 2-3
Answer:
-3.8Step-by-step explanation:
32÷10-8÷2-332÷10-4-33.2-4-33.2-7-7.0-3.2-3.8answerThe expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.
To solve the expression "32 divided by 10-8 divided by 2-3," we follow the order of operations, which is often represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
32 divided by 10 equals 3.2.
Next, perform the second division which is 8 divided by 2 which equals 4.
Subtract the result of the second division (4) from the first division result (3.2): 3.2 - 4
= -0.8.
Finally, subtract 3 from the -0.8.
-0.8 - 3
= -3.8.
Therefore, the expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.
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I NEED SOME HELP ON THIS! Which expression represents the volume of the rectangular prism shown? A) 3 x 4 + 11 B) x 2 + 2 x + 11 C) x 4 + 11 x 3 + 24 x 2 D) x 3 + 3 x 2 + x + 8
Answer:
C
Step-by-step explanation:
Volume = bhd
Volume = (x + 3)(x + 8)(x²)
start with (x + 3) and (x + 8), factor:
x² + 8x + 3x + 24
x² + 11x + 24
now bring x² back:
(x² + 11x + 24)(x²)
x⁴ + 11x³ + 24x²
Factor completely 3x – 15.
-
03(x - 5)
03(x + 5)
3x(-15)
Prime
Myra swims 3/5 of a mile father than luke. If luke swims 2 4/10 miles, how mnay miles does myra swim?
Answer:
Myra swims for 3 miles.
Step-by-step explanation:
3/5 = 6/10
2 4/10 + 6/10 = 3
Find the radius of a circle with area of 452.4 mi2
Answer:
r≈12mi
Step-by-step explanation:
mark brainiest and Im 100% correct
The lines represented by the equations y x = 2 and y = x
2 are
Answer: Parallel
Step-by-step explanation:
Pleaseeeeee help meeee answer number 3,5 and 7 they are hard for me to do
Answer:
5. 52+56 < 49x -46x
108< 3x
108/3< 3x/3
36
Nguyen wants to buy a tire that normally costs $86.25. It is currently on sale for $84 25. What is the percentage discount? Round your answer to the nearest tenth.
Percentage discount
[tex]\\ \rm\rightarrowtail \dfrac{2}{86.25}{100}[/tex]
[tex]\\ \rm\rightarrowtail 0.0232(100)[/tex]
[tex]\\ \rm\rightarrowtail 2.32\%[/tex]
Answer:
2.3% (nearest tenth)
Step-by-step explanation:
[tex]\sf percentage \ change =\dfrac{|final \ value - initial \ value|}{initial \ value} \times 100\%[/tex]
Given:
initial value = 86.25final value = 84.25[tex]\sf \implies percentage \ change =\dfrac{|84.25-86.25|}{86.25} \times 100\%[/tex]
[tex]\sf \implies percentage \ change =\dfrac{2}{86.25} \times 100\%[/tex]
[tex]\sf \implies percentage \ change =2.3\% \ (nearest \ tenth)[/tex]
Find the equation of a line that passes through the point (1,-4) and has a gradient of 2. Leave your answer in the form y = m x + c
Answer:
Step-by-step explanation:
(1,-4) m=2
first find c
-4=2×1+c
c=-6
y=2x+-6