this is best solved using algebra
let the width be 4x (since it is 4 times more the length)
let the length be x
the formula for perimeter is (l+b)2 let us sub these variables in our formula
(x + 4x)2 = 64
expand brackets
2x + 8x = 64
combine like terms
10x = 64
make x the subject
x = 64/10 = 6.4
the length is 6.4 m
now let's find the width, the width is 4 times more the length so we simply substitute our value we found for x in 4x
we get:
4(6.4) = 25.6
the length is 25.6m
let's check our answers to see if its correct
25.6 + 6.4 = 32
32 × 2 = 64
the answer is correct
A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). If each window is 3 feet by 5 feet, determine the area of the space to be painted.
Answer:Measure length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length.
Step-by-step explanation:
The required area that is to be painted is given as 150 square feet.
Given that,
A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). each window is 3 feet by 5 feet,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Area of the wall = 12 × 15 = 180 square feet
Area of the two windows, = 2 × 3 × 5 = 30 square feet
Area to be painteded = 180 - 30 = 150 square feet,
Thus, the required area that is to be painted is given as 150 square feet.
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I need help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
36,000÷?=90 PLS HELP
Answer:
Easy
Step-by-step explanation:
Answer: 36,000 divided by 90 is 400
Answer:
400
Step-by-step explanation:
Is there a proportional relationship between a planet’s diameter and its distance from the sun? Explain.
Answer:
Yes there is a proportional relationship
Step-by-step explanation:
If we look at earth and the sun, the diameter of the sun is 108 times that of the diameter of earth, and the average distance between the earth and sun is 108 times the suns diameter.
the smallest 3 digits even number formed form 5,6,3 is
Answer:
3,5,6
Step-by-step explanation:
because 300 divided by 2 is 150
50 divided by 2 is 25
and 6 divided by 2 is 3
Solve for the missing variable
Answer:
x = 7.5.
The two lines on the side of the triangle in the screenshot show us that the two lines made are the same length. So the difference between the first two values, i.e. 22.3 and 14.9 is the same difference between 14.9 and x.
Step-by-step explanation:
hope this helps. . .<3
good luck! uωu
Answer:
Step-by-step explanation:
14.9 is the middle value of x and 22.3. So your formula looks like this.
(x + 22.3) / 2 = 14.9 Multiply both sides by 2
2(x + 22.3) / 2 = 14.9*2 Remove the brackets.
x + 22.3 = 29.8 Subtract 22.3 from both sides
x = 29.8 - 22.3
x = 7.5
A cable is 40 decimeters long. How long is the cable in meters?
Be sure to include the correct unit in your answer.
Answer:
4 Meters
Step-by-step explanation:
Formula
divide the length value by 10
Dylan had 300 5p coins in a box last month. He now has 360 5p coins. Find the percentage increase.
Therefore the percentage increase is 72
72Original price of shorts $53.95 Discount 30% Tax:4.5%
Answer:157.35
Step-by-step explanation: multiply then add the tax
How do you do -9-(-2)-(-6)-4?
population growth problem: the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million
please help me solve this problem
I need help please please whoever gets it correct I’ll give bairnlast
Answer:
(-1,-1)A
B (1,-3)
C (-2,-4)
what is the numerical answer?
Answer:
x = 3
Step-by-step explanation:
In a parallelogram the diagonals bisect each other , then
6x + 11 = 5x + 14 ( subtract 5x from both sides )
x + 11 = 14 ( subtract 11 from both sides )
x = 3
find the integral.......
Answer:
1/5(2ln|x|+3*5^1/3)+c
Step-by-step explanation:
A) 37.68 square inches B) 72.52 square inches C) 108.12 square inches ) D) 113.09 square inches
Answer:
The answer is D.
Step-by-step explanation:
Radius is half of diameter. So the radius of the circle is 6 in.
The formula for getting the area of circle is:
A = π[tex]r^{2}[/tex] π = 3.1416
A = (3.1416)(6)[tex]^{2}[/tex]
A = (3.1416)(36)
A = 113.09 square inches
Explain how you can multiply to find equivalent fractions
Answer:
One example for an equivalent fraction would be 2/5 = 4/10
Step-by-step explanation:
It is equivalent because in both the denominator and the numerator you multiply by 2 which means that if you would divide 4/10 by 2 top and bottom, you would get 2/5. If you were to but these fractions on a number line; one on top of the other; they would equally have one under the other.
*** I hope this helps (brainly if possible)
Incredibly, Enzo wins 5 tickets from every game, and Beatriz wins 11 tickets from every game. When they stopped playing games, Enzo and Beatriz had won the same number of total tickets.
What is the minimum number of games that Enzo could have played?
Answer:
Enzo must have played 11 games.
Step-by-step explanation:
Since Enzo earns 5 tickets from every game and Beatriz wins 11 tickets from each game, we have to find the LCM (Least Common Multiple) since they earned the same amount of tickets when they stopped.
The LCM of 11 and 5 is 55.
To see how many games they both played we have to divide the amount of tickets they earn each time from the LCM (55).
Since Enzo earns 5 tickets from each game and both Enzo and Beatrice earned 55, Enzo must've played 11 games.
(If that makes sense lol)
Please help
Consider the graph of g(x)= 2-8x12. identify the y- intercept, the vertex, and the zero of the functions.
to pass this school year i need more time on my computer, more time on edmentum, the thing is im all caught up with my work and all i need is to find a way to get more time, if someone could find out how long it takes before im "off task" so i can just touch my computer to start the time again, or if theres a different way plz plz lmk
Answer:
you could start by making a definite timetable for yourself and try to get away so as to differentiate the time between your work your Edmonton and a time is spending a computer don't try to spend much more time when your computer because it's mainly due to procrastinating in during other work
PLEASE HELP WITH THIS QUESTION
Answer:
which question can I help you
Solve for x:
Yeah can't come in3x+7x=10x
Answer:
#happy learningStep-by-step explanation:
#brainly phThe American customer satisfaction index scores of McDonalds restaurants grew from 61 in 2002 to 71 in the year 2014. Find the average rate of change for the data. Show work.
Answer:
[tex]\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex]
Step-by-step explanation:
Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:
In order to solve for the average rate of change, we could simply use the average rate of change formula:
Average rate of change = Change in output/Change in input
[tex]\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (61, 2002)
(x₂, y₂) = (71, 2014)
Substitute these values into the average rate of change formula:
[tex]\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}[/tex]
[tex]\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex].
Last year, wind turbines along a hilly ridge had an average output of 390 kilowatt hours per year. The turbines were upgraded, and now their average annual output is 30% more.
What is the new average yearly output?
kilowatt hours=
30% × 390 = 117
= 390 - 117
= 507 kw/h
Can someone please help me
Answer: i don''t know the answer im sorry i hope someone helps you :)
Step-by-step explanation:
2 (3m + 1)²
Expand and simplify
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\large\boxed{\mathsf{2(3m + 1)^2}}\\\large\boxed{\mathsf{\rightarrow 2\times (3m + 1)\times 3(3m + 1)}}\\\large\boxed{\text{\bf SIMPLIFY IT}}\ \large\boxed{\ \uparrow}\\\large\boxed{\mathsf{\rightarrow 18m^2+ 12m + 2}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{18m^2 + 12m + 2}}}}\huge\checkmark[/tex]
[tex]\huge\text{\bf Good luck on your assignment \& }\\\huge\text{\bf enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
10. Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 3 liters of natural oil for every 4
liters of synthetic oil. In order to make 518 liters of Petrolyn oil, how many liters of natural oil are needed?
Step by step please
you have the ratio of natural:synthetic so;
3:4
3+4=7
357/7=51
3*51:4°51
153:204
therefore, it'd be 204 litres of synthetic oil!!
i hope this helps you!!
A camera is on sale for $130. After a 7.875% sales tax is added, what is the total cost of the camera?
4
b(x) = 16.22 – 25
bx)
Use the drop-down menus to factor the expression and find the zeros of b(x).
Answer:
1) (4x)² - (5)²
2) (4x + 5) (4x -5)
3) Zeros of b are [tex]\frac{5}{4}[/tex] and [tex]\frac{-5}{4}[/tex] (can also be 1.25 and -1.25)
In 20Pg how many choices are
there for the eighth batter for a
line-up of 9 out of 20?
A. 20
B. 14
C. 13
Answer:
13
Explanation-
It is 13 because it is the only one out of all of them that makes sense.
For the ²⁰ P ₉ the required number of choices are 6.0949324 x 10¹⁰.
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,
In the given question,
In ²⁰ P ₉, the number of choices are to be found.
To find the choices,
Expand ²⁰ P ₉ by using a formula,
[tex]\rm ^nP_r = n!/(n-r)![/tex]
The number of choices
= 20!/ (20 -9)!
= 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11!/ 11!
= 6.0949324 x 10¹⁰
The required number of choices are 6.0949324 x 10¹⁰.
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The complete question is given below.