Answer:
P = 342 ft
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Factoring/ExpandingQuadratics
Solving quadratic equationsStandard Form: ax² + bx + c = 0Geometry
Area of a Rectangle Formula: A = lw
l is lengthw is widthPerimeter of a Rectangle Formula: P = 2w + 2l
l is lengthw is widthStep-by-step explanation:
Step 1: Define
Identify variables.
A = 5670 ft²
"Length that is 9 feet less than 3 times its width" → l = 3w - 9
Step 2: Find w
Substitute in variables [Area of a Rectangle Formula]: w(3w - 9) = 5670[Distributive Property] Expand: 3w² - 9w = 5670[Subtraction Property of Equality] Rewrite [Standard Form]: 3w² - 9w - 5670 = 0[Quadratic] Factor: 3(w - 45)(w + 42) = 0[Quadratic] Solve [Find roots]: w = -42, 45Since length/width cannot be negative, we know that w = 45 ft.
Step 3: Find l
Substitute in w [Length Formula]: l = 3(45) - 9[Order of Operations] Evaluate: l = 126 ftStep 4: Find Perimeter
Substitute in variables [Perimeter of a Rectangle Formula]: P = 2(45 ft) + 2(126 ft)[Order of Operations] Evaluate: P = 342 ft∴ The perimeter of Janice's fence is 342 ft.
Let width be x ft
Length be 3x-9ft
Now
Area=Length ×Breadth5670=x(3x-9)5670=3x²-9x3x²-9x-5670=0On solving we wI'll get x=-42,45
Take it positive
x=45width=45ftLength=3(45)-9=135-9=126ftNow
Perimeter
2(Length+Width)2(45+126)2(171)342ftSuppose you know the area of the yard is 7,500 square feet. How can you find the value of a?
—help and it comes with a picture
Answer:
a = 50
Step-by-step explanation:
From the introduction, you know that the area is 3a^2
You also know that it is 7500 square feet. \
So the two must be equal
3a^2 = 7500 Divide by 3
a^2 = 7500/3
a^2 = 2500
The square root of 2500 is 50
sqrt(a^2) = sqrt(2500)
a = 50
Greg has only nickels and dimes in his money box. He knows that he has more than $10 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y? (5 points)
a
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion below the line for positive values of x and y.
b
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion above the line for positive values of x and y.
c
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion above the line for positive values of x and y.
d
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion below the line for positive values of x and y.
Answer: Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y
Step-by-step explanation: Let
x------> the number of nickels in the box
y------->the number of dimes in the box
we know that
so
Multiply by both sides
-----> inequality that represent the situation
The solution of the inequality is the shaded area above the dashed line for positive values of x and y
The equation of the dashed line is
therefore
the answer is
Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y
help please!
i can't figure it out.
Answer:
35
Step-by-step explanation:
8 + 27 would give us 35
We add the negative since it starts from there and works it's way up.
Kent had $280. He spent 3/7 of his money on a present and 1/4 of his money on a meal. How much money did Kent spend altogether
Answer:
$190
Step-by-step explanation:
he spent 3/7·(280), or $120 on a present
he spent 1/4·(280), or $70 on a meal
he spent $190 altogether
A forest covers 73,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How man acres of old-growth trees are there?
There are__?__ acres of old-grown trees.
Answer:
292 acres.
Step-by-step explanation:
OK so if there are 73,000 acres of trees in total and 0.4% are old we would simply calculate what 0.4% of 73,000 which is 292. So of those 73,000 acres of trees 292 acres of them would be "old-growth trees".
The sum of 3 and m
A.x-3
B.1/2y
C.3+m
D.14+3x
E.x+5
F.14+4x
Answer:
C
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
first of all thank you for reading this
it's addition which 3 + m
The length of a rectangular hall exceeds its breadth by 7 m. If the breadth is decreased by 1 m and the length increased by 2 m, the area remains the same. Find the length and breadth of the hall.
Answer:
Step-by-step explanation:
Let the length be :x+7
Let the breadth be:x
After addition and subtraction
Length:x+7+2=x+9
Breadth:x-1
A.T.Q
x(x+7) = (x+9)(x-1)
x²+7x = x(x-1)+9(x-1)
x²+7x = x²-x+9x-9
x²+7x-x²+8x = 9
8x-7x = 9
So, Breadth: 9m
So, Length :16m
combine k/4 and 5k
pls pls pls pls
[tex]\dfrac k4 + 5k = \dfrac{k + 20k}4 = \dfrac{21k}4[/tex]
Find the equation of a line whose graph passes through the two points (2,-3) and (4,-8).
Answer:
y=-5/2x+2
y+3= -5/2. (x-2)
Step-by-step explanation:
Answer:
y=-5/2x+2
Step-by-step explanation:
y=mx+b, where m is slope, b is y-int and y and x are variables.
Step 1: plot your points
Step 2: draw a line thru them
Step 3: find the slope. -5/2. And your y-int. +2
Hope that helps! Brainliest is appreciated :)
Please help I’ll love u forever
Answer:
3. non linear
4. weak
Step-by-step explanation:
3. it doesn't go in a line
4. it's a weak association.
The difference between two numbers is 56. Five times the smaller is equal to 4 more than the larger. What are the numbers?
You roll one die 8 times. What is the probability of rolling exactly six fours
Please convert the fraction into a decimal
Answer:
4/8 = 1/2 = 0.5 is your answer
MAS CARDS
5. Determine if the equation has one solution, no solution, or infinite
solutions.
-2(x – 3) + 5 = -6(x + 1) + 4x
One solution
No solution
Infinite solutions
Answer:
No solution
Step-by-step explanation:
-2(x-3)+5= -6(x+1)+4x
First Distribute:
-2x+6+5= -6x-6+4x
Then transfer all variables to one side and the rest to other side:*when transfer u turn to opposite number for example: -6x will transfer to 6x
6+5+6= -6x+4x+2x
Last solve
17=0
no solution
2 decreased by the sum of m and 8
Answer:
(m+8) - 2
Step-by-step explanation:
Archie and Michael are helping their friend George move the washers and dryers from his laundromat to a larger building. Archie's truck is carrying three washers and four dryers that have a combined mass of 1260 kg Michael's truck is carrying two washers and three dryers that have a combined mass of 880 kg.
How much does one of George's washers weigh?
Answer:
A
Step-by-step explanation:
Yes
A car travels 32 miles for each gallon of gas. How many gallons of gas does it need to travel 192 miles?
What percent of 80 is 10?
Carrie is driving to a friend’s house for the weekend. The friend lives in a town 160 mi. away. So far, Carrie has driven 64 mi. What percent of the drive does she have left?
Answer:
12.5% and 60%
Step-by-step explanation:
0.125 x 80 = 10
160-64 = 96
96/160 = 0.6
0.6 x 100 = 60%
Find the LCM of 14 and 18 using prime factorizations.
Answer:
126
Step-by-step explanation:
1) -64÷16+[12x{6÷(16÷10-2)}]
Answer:
= -30[tex]x^{6}[/tex]-4
i hope that helps and is right
If that is a multiplication sign then it is -184
if that is an x then it would be -4 -180x
Plzzzzz help meeee plzzzzzzz plzzz
Answer:
try 20%
Step-by-step explanation:
What is mathmatics ?
Answer:
The abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering ( applied mathematics )..
Ex :- Plus , minus
I HOPE IT IS HELPFULMathematics is a very important field of study in human society that can be described as the study of:
Numbers Quantities Spatial elementsMathematics is a science and one that is constantly evolving to allow us better understand our surroundings.
There are several ways to study the subjects described above such as by applying them to things such as engineering and other sciences, or simply studying them on their own.
In conclusion, math is a science of numbers.
Find out more on mathematics at https://brainly.com/question/14473572.
Help me pleaseeee with this
Blake has xx dimes and yy nickels. He has a minimum of 13 coins worth at most $1 combined. Solve this system of inequalities graphically and determine one possible solution.
Blake has 5 dimes and 10 nickels.
Let x represent the number of dimes and y represent the number of nickels.
Each dime is worth 10 cent ($0.1) and each nickel is worth 5 cents ($0.05).
Since he has a minimum of 13 coins, hence:
x + y ≥ 13 (1)
It is worth at most $1 combined, hence:
0.1x + 0.05y ≤ 1 (2)
From the graph, a possible solution is (5, 10).
Blake has 5 dimes and 10 nickels.
Find out more about inequalities at: https://brainly.com/question/241541
2(5 - 8x) -13 = 9(1 - x) -12
2 (5 - 8x) - 13 = 9 (1 - x) - 12
10 - 16x - 13 = 9 - 9x - 12
10 - 13 - 16x = 9 - 12 - 9x
- 3 - 16x = - 3 - 9x
- 3 + 3 = - 9x + 16x
0 = 7x
0/7 = x
0 = x
_____
Hope it helps ⚜
Answer:
x = 0Step-by-step explanation:
2(5 - 8x) - 13 = 9(1 - x) -12 => 10 - 16x - 13 = 9 - 9x - 12=> -3 - 16x = -3 - 9x=> 0 = 16x - 9x=> 0 = 7x => x = 0Conclusion:
Therefore, the answer is 'x = 0'
!! Hoped this helped !!
[tex]BrainiacUser1357[/tex]
Solve for h. (h − 8)(h + 2) = 0
Answer:
donwload the gautmaht this is very powerful calculator to math problems
Step-by-step explanation:
make this is helpful too you
Translate this phrase into an algebraic expression.
7 increased by twice Goran's savings
Use the variable g to represent Goran's savings.
Answer: 2g + 7 or 7 + 2g
Step-by-step explanation:
7 increased by twice g can be represented as 2g + 7 or 7 + 2g
Solve for x
log2(5x-4)=4
Please show steps
Answer:
x=1.2
Step-by-step explanation:
2(5x-4)=4
distribute 2 to 5x and -4
10x-8=4
add 8 to negative 8 and 4
10x=12
now divide both sides by 10
10x/10= 12/10
x=1.2
The value of x for the logarithmic expression will be x=1.2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is log2(5x-4)=4. The value of x will be calculated as,
2(5x-4)=4
Distribute 2 to 5x and -4,
10x-8=4
Add 8 to negative 8 and 4,
10x=12
Now divide both sides by 10,
10x/10= 12/10
x=1.2
Therefore, the value of x for the logarithmic expression will be x=1.2.
To know more about an expression follow
https://brainly.com/question/28041634
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please help me asap, i suck at math tbh :)
ty!
Answer:
Y intercept = (0,-6)
X intercept = (9,0)
Step-by-step explanation:
To find the y-intercept of an equation, let x = 0 and then solve for y
6(0) - 9y = 54 (6 times 0 gives us 0)
0 - 9y = 54 (subtract 9y from 0 gives you -9)
-9y = 54 (divide both sides by -9, the left side cancels out and the right side gives you -6)
y = -6 and x = 0
To find the x-intercept of the equation just let y = 0 and then solve for x
6x - 9(0) = 54 (9 times 0 gives us 0)
6x - 0 = 54 (subtract 0 from 6x gives us 6x)
6x = 54 (divide both sides by 6, left side cancels, right side gives 9)
x = 9 and y = 0
Pls due tmr pls pls fast I need it like rn
Answer:
Step-by-step explanation:
50 of 100
= 50%
120 of 1
= 1.2%
Please answer this question step by step!
No links please.
Whoever gives correct answer will get a thank you aswell.
Answer:
[tex]x = \frac{3}{2} [/tex]
Step-by-step explanation:
first distribute
[tex] \frac{36x - 9}{2x} = 15[/tex]
next multiply both sides by 2x
[tex]36x - 9 = 15(2x) \\ 36x - 9 = 30x[/tex]
simplify
[tex] - 9 = - 6x[/tex]
divide both sides by -6
[tex] \frac{ - 9}{ - 6} = x \\ \frac{3}{2} = x[/tex]