Answer:
Length is 24 feet and width is 9 feet.
Step-by-step explanation:
It is given that length of a rectangular wall is 6 feet longer than twice its width.
Let x feet be the width of wall.
Length = 2x+6 feet
Area of rectangle is
[tex]A=length \times width[/tex]
[tex]A=(2x+6)\times x[/tex]
[tex]A=2x^2+6x[/tex]
It is given that area of a rectangular wall of a barn is 216 square feet.
[tex]2x^2+6x=216[/tex]
[tex]x^2+3x=108[/tex]
[tex]x^2+3x-108=0[/tex]
Splitting the middle term, we get
[tex]x^2+12x-9x-108=0[/tex]
[tex]x(x+12)-9(x+12)=0[/tex]
[tex](x+12)(x-9)[/tex]
[tex]x=-12,9[/tex]
Width can not be negative. So width is 9 feet.
Length [tex]=2(9)+6=18+6=24\text{ feet}[/tex]
Therefore, length is 24 feet and width is 9 feet.
on 1
-4 is to the left of O so that means O is
than -4. Greater Less
Answer:
O is greater than -4
Step-by-step explanation:
Answer:
O is less than -4
0<-4
Step-by-step explanation:
4x + 3 = 15
Two Step equation
Answer:
x = 3
Step-by-step explanation:
4x+3=15
subtract
4x=12
divide
x=3
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]4x+3=15\\\\4x+3-3=15-3\\\\4x=12\\\\\frac{4x=12}{4}\\\\\boxed{x=3}[/tex]
Hope this helps.
write in standard form x2 + y = 2x -4
Answer:
y = - x² + 2x - 4
Step-by-step explanation:
The equation of a parabola in standard form is
y = ax² + bx + c ( a ≠ 0 )
Given
x² + y = 2x - 4 ( subtract x² from both sides )
y = - x² + 2x - 4 ← in standard form
A cake recipe for 5 people requires 2 eggs.How many eggs do we need for a 15 person cake .
Answer:I have now idea how to do this I only nine
Step-by-step explanation: IDK
Answer:
6 eggs for a 15 person cake.
Step-by-step explanation:
The cake recipe for 5 people requires 2 eggs.
You are solving for the amount of eggs for 15 people.
Divide 15 with 5: 15/5 = 3
The prompt multiplied 3 to the people to get the required amount. Do the same with the eggs:
2 x 3 = 6
6 eggs is needed.
[tex]\frac{5 people}{2 eggs} * \frac{3}{3} = \frac{15 people}{ 6 eggs}[/tex]
4 1/2 minutes for 6 laps
Answer: 0.75 minutes per lap
Explanation:
Can someone help me with this? I have no clue whats going on-
Answer:
2909
Step-by-step explanation:
Answer:
So the answer for your question is Sarah is correct because square root 2 is irrational:)
Step-by-step explanation:
Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers.
√ means square root. Square root means a number which produces a specified quantity when multiplied by itself. SO for example 7 is a square root of 49...
Example of another irrational and rational number: 74 is rational. Irrational number would be 3.14:)
Hope this helped...yeah I wrote a lot of stuff, I hope you understand it;)
4.63 repeated in simplest form ( please reply quickly)
Answer:
4.63 as simplified fraction is
463/100
Step-by-step explanation:
4.63 as a fraction in simplest form
To convert 4.63 to fraction, follow these steps:
First write down the decimal number divided by 1 like this:
4.63/1
As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 10² = 100, so that there is no decimal point in the numerator
4.63 × 100
1 × 100
=
463/100
As the numerator is greater than the denominator, we have an improper fraction, so we can also express 4.63 as a mixed number, thus 463/100 is equal:
4 63/100
Find the LCM of 30, 45, 60 and 90.
Answer:180
Step-by-step explanation:
cube root 343 ^-3/ root 4 81
Answer:
[tex]$\frac{1}{1029} $[/tex]
Step-by-step explanation:
[tex]$\frac{\sqrt[3]{343^{-3}}}{\sqrt[4]{81} } $[/tex]
[tex]$\boxed{\text{Property: } a^{-b}=\frac{1}{a^{b}}} $[/tex]
[tex]$\frac{\sqrt[3]{\frac{1}{343^{3}} }}{\sqrt[4]{81} } $[/tex]
[tex]$\frac{\frac{\sqrt[3]{1} }{\sqrt[3]{343^3} } }{\sqrt[4]{81} } $[/tex]
[tex]$\frac{\frac{1 }{343} }{3} $[/tex]
[tex]$\frac{342 \cdot \frac{1 }{343} }{343 \cdot 3} $[/tex]
[tex]$\frac{1}{1029} $[/tex]
which number produces an irrational answer when added to 3/4
Answer
pi.
Step-by-step explanation:
If you add pi (3.14) to 3/4, you will get an irrational answer.
can someone help me please T^T ill give Points! please, it needs to written top to bottom HELPPPPPPPPP
Answer:
6+36-4=38/2=19
Answer is 19 for number 1
Step-by-step explanation:
509 to nearest hundreds
Answer:
509 rounded to the nearest hundred is:
500
Step-by-step explanation:
When rounding to the nearest hundred, like we did with 509 above, we use the following rules:
A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
Rounded to Nearest Hundred
Enter another number below to round it to the nearest hundred.
What is 510 rounded to the nearest hundred?
Now you know what 509 rounded to the nearest hundred is. Go here for the next number we rounded.
The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length and width of the wall of the barn.
Answer: Length = 28 feet and width = 9 feet
Step-by-step explanation:
Let x = width of the wall.
Then, Length of the wall = 10+2x
Since , Area of rectangle = length x width
Then, as per given,
[tex]252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9[/tex]
Since width cannot be negative , so x = 9
So width = 9 feet and length = 10+2(9)=10+18 = 28 feet
Hence, length is 28 feet and width is 9 feet of the wall of the barn.
A) 75YARDS B) 85 YARDS C)80 YARDS D) 90 YARDS
Answer:
________________
I think it's 85 yards
Which of the following expressions represents the distance between 3/4 and 2?
Answer:
It's A :)hope this helped.
Step-by-step explanation:
Answer:
A
Step-by-step explanation: Khan Academy
PLEASE HELP ME! I have de done this 10+ times
Determine intersections and unions of sets using interval notation
Given the sets A and B in interval notation,
A = (-∞, 2) U (2, + ∞) and
B= (-∞, - 1) U (-1, + ∞)
find A n B =
Answer:
Shown in the picture
True or False? Whole Numbers (W) are a subset of Integers (Z)
O True
False
Answer:
true
Step-by-step explanation:
bc the integer equals to the subset
What is the perimeter of the rectangle
Answer:
probably the first one 4x+6
Answer
4x square + 3
Step-by-step explanation:
Perimeter of a Rectangle = 2(l * b)
= 2*(2x+3 * x)
=2*(2x*x+3)
=2*(2x squared * + 3)
2*2x squared + 3
=4x square + 3
Please help! (Will give brainliest answer and hearts) Thank you and have a nice day!
Answer:
W
Step-by-step explanation:
so you go to the right 2 times then you go down 5 and a half times (where the negative numbers are) and then you get the answer here is a picture so you can understand a little better, I hope this helps you :)
i need an answer and explaination
(-(-17) what is the answer simplify the expression
Answer:
17
Step-by-step explanation:
Whenever you are multiplying 2 negative numbers together, the answer is always positive. In this case, you are multiplying -1 and -17 together, so your answer is going to be 17.
The links are of a wheelchair ramp is 13 more than 15 times its width W which equation represents the relationship between the length and width of the ramp
Answer:
7
Step-by-step explanation:
sqrt(x+7) -1=x
yo what
Hi
[tex]\sqrt{(x+7)[/tex] -1 = X
Let's square the whole thing
so we have : x+7 +1 = x²
x² +x+7 +1 = 0
x²+x+8 = 0
no easy way to see a common factor so, let 's resolve by using discriminate.
Δ = 1-4*1*8
Δ = 1 -32
Δ = -31
as Δ ≤ 0 , there is no Real answer to your equation
however , if you need we can find imaginary solutions. Just ask in commentaries
Answer:
its 2
Step-by-step explanation:
a necklace priced at $580 is sold for $464. find the percentage discount
$580 = 100%
$1 = 100% ÷ 580
$464 = (100% ÷ 580) × 464
= 80%
Therefore,
percentage discount = 100% - 80%
= 20%
i hope my solution helps :))
Simplify 6uw^-3 x 4uw^6
9. If LK MK, LK = 7x - 10, KN = x + 3, MN = 9x - 11, and KJ = 28, find LJ.
Answer:
[tex] LJ = 46 [/tex]
Step-by-step explanation:
Given:
[tex] LK = MK [/tex]
[tex] LK = 7x - 10 [/tex]
[tex] KN = x + 3 [/tex]
[tex] MN = 9x - 11 [/tex]
[tex] KJ = 28 [/tex]
Required:
LJ
Solution:
Step 1: create an equation to find the value of x
Since we are given that LK = MK, and LK = 7x - 10, let's find the expression for MK to get an equation.
[tex] MK + KN = MN [/tex] (segment addition postulate)
[tex] MK = MN - KN [/tex] (Subtract KN from each side)
[tex] MK = (9x - 11) - (x + 3) [/tex] (subtitution)
[tex] MK = 9x - 11 - x - 3 [/tex]
[tex] MK = 9x - x - 11 - 3 [/tex]
[tex] MK = 8x - 14 [/tex]
LK = MK, therefore,
[tex] 7x - 10 = 8x - 14 [/tex]
Subtract 8x from each side
[tex] 7x - 10 - 8x = 8x - 14 - 8x [/tex]
[tex] -x - 10 = -14 [/tex]
Add 10 to both sides of the equation
[tex] -x - 10 + 10 = -14 + 10 [/tex]
[tex] -x = -4 [/tex]
Divide both sides by -1
[tex] x = 4 [/tex]
Step 2: Find LJ
[tex] LJ = LK + KJ [/tex] (segment addition postulate)
[tex] LJ = (7x - 10) + (28) [/tex]
Plug in the value of x
[tex] LJ = 7(4) - 10 + 28 [/tex]
[tex] LJ = 28 - 10 + 28 [/tex]
[tex] LJ = 46 [/tex]
Evaluate the expression:
(1/3)⁴ = ?
Answer:
1/81
Step-by-step explanation:
First, square 1/3 that gets you, 1/9, multiply by 3 again to get 1/27, again to get 1/81
Simplify the expression: 1–7v+7v+9–2
Answer: 8
Step-by-step explanation:
Which property should be used next in this solution process? 3x+2+3=7(x-1)-4. 3x+5=7(x-1)-4
1. The surface area of a cylinder is T=2rtrh+2tr2, where T is the surface area, andr
is the radius of the base. A penny is a cylinder with a diameter of 19.05 millimeters
and a thickness of 1.55 millimeters. Ignoring the raised design, what is the surface
area of a penny?
Pls help
Answer:
the surface area of a penny = 662.81 mm²
Step-by-step explanation:
given:
A penny is a cylinder with a diameter of 19.05 millimeters
and a thickness of 1.55 millimeters.
find:
what is the surface area of a penny?
surface area of a cylinder formula:
As = 2 π r h + 2 π r²
let r = 19.05 / 2
r = 9.53 mm
let h = 1.55mm
plugin values into the formula:
As = 2 π (9.53) 1.55 + 2 π (9.53)²
As = 92.76 + 570.05
As = 662.81 mm²
therefore,
the surface area of a penny = 662.81 mm²
Answer:
the surface area of a penny = 662.81 mm²
Step-by-step explanation:
got this correct in exam