Jennifer is creating a rectangular-plot of grass in her backyard. She would like the length of the plot to be 6 feet less than the width. Draw a picture of the situation.
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The value of the width is greater than the 21 if we want a perimeter greater than the 72 feet. Then if we let value of y is 25 then length is 19 and width is 25.
According to the statement
We have to find that the length and the width.
So, For this purpose, we know that the
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon
From the given information:
The length of the plot to be 6 feet less than the width.
Then
The given perimeter = greater than 72 feet.
We know that the perimeter of rectangle is
P = 2(length + breadth)
And
P < 2(length + breadth)
here p = 72, let length = y - 6 and width = y
Then
72 < 2(length + breadth)
72 < 2(y - 6 + y)
72 < 2(2y - 6)
72 < 4y - 12
84 < 4y
y > 21.
Then let the value of y is 25 then
length = 25 - 6 and width = 25
length = 19 and width = 25.
So, The value of the width is greater than the 21 if we want a perimeter greater than the 72 feet. Then if we let value of y is 25 then length is 19 and width is 25.
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Related Questions
John sold 36 cookbooks at 27 dollars each. How much did he make?
Answers
Answer:
$972
36 × 27 = 972
2. Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
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The expression of each person's contribution is:
Me - 18 / 72.90 = 0.25
Friend 1 - 17.40 / 72.90 = 0.01
Friend 2 - 18.90 / 72.90 = 0.26
Friend 3 - 18.60 / 72.90 = 0.26
What is a fraction?A fraction is used to represent the portion/part of the whole thing.
We have,
The total amount from each person:
= 18 + 18.60 +18.90 + 17.40
= $72.90
We can write the amount that each person will pay using fractions as:
Fraction = Total bill of individual share / Total bill all together
Me - 18 / 72.90 = 0.25
Friend 1 - 17.40 / 72.90 = 0.01
Friend 2 - 18.90 / 72.90 = 0.26
Friend 3 - 18.60 / 72.90 = 0.26
Thus the expression of each person's contribution is:
Me - 18 / 72.90 = 0.25
Friend 1 - 17.40 / 72.90 = 0.01
Friend 2 - 18.90 / 72.90 = 0.26
Friend 3 - 18.60 / 72.90 = 0.26
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HELP! I need this done now!
John ran 3 miles in 25.5 minutes. The equation y = 8.5x can be used to represent this situation.
What is the constant of proportionality? Express your answer as a decimal.
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Answer:
.................................................................................................................................
Mayerlin needs to order some new supplies for the restaurant where she works. The restaurant needs at least 623 forks. There are currently 223 forks. If each set on sale contains 8 forks, write and solve an inequality which can be used to determine , the number of sets of forks Mayerlin could buy for the restaurant to have enough forks.
Answers
Answer:
≥ 50 sets
Step-by-step explanation:
Mayerlin wants to know how many sets of 8 forks she needs to buy to increase her supply of forks from 223 to at least 623.
SetupThe number of additional forks will be the number of sets (s) times 8 forks each. Mayerlin wants at least 623.
223 +8s ≥ 623 . . . . . . the inequality
SolutionSubtract 223:
8s ≥ 400
s ≥ 50 . . . . . . divide by 8
Mayerlin could by at least 50 sets of forks to have enough.
find the value of px5 when p=4.
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The answer is 4*5 which is 20
Grayson's retirement party will cost $60 if he invites 10 guests. If there are 86 guests, how much will Grayson's retirement party cost? Solve using unit rates.
Answers
Answer:
Grayson's party will cost $516.
Step-by-step explanation:
Start with putting a unit rate for money per person
60/10
Divide by 10
6/1 (6$ per person)
Then multiply by 86 (# of guests attending)
86 x 6 = 516
(-4c³d)²
someone answer this asap i’ll make it the brainiest please
Answers
[tex] \bf \implies {16} {c}^{6} {d}^{2} [/tex]
Step-by-step explanation:(-4c³d)² Evaluate it
We know that (a×b×c)² = a²b²c²According to the question
(-4 × c³ × d)²[tex] \bf { - 4}^{2} \times {c}^{3 \times 2} \times d^{2} [/tex][tex] \bf {16}\times {c}^{6} \times {d}^{2} \\ \bf or \\ \bf16 {c}^{6} {d}^{2} [/tex]If f(x) = 4x-2, what does f(-2) equal?
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Find the LCM of 32, 40, 36?
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Answer:
The least common multiple of 40, 36 and 32 is 1440.
Step-by-step explanation:
Greetings !
Definition :-The LCM of a, b
Is the smallest positive number that is divisible by both a and b.
prime factorization of 32:
[tex]2.2.2.2.2[/tex]
prime factorization of 40:
[tex]2.2.2.5[/tex]
prime factorization of 36:
[tex]2.2.3.3[/tex]
Compute a number comprised of factors that appear in at least one of the following
32,40,36
[tex] = 2.2.2.2.2.5.3.3[/tex]
Multiply the numbers 2.2.2.2.2.5.3.3 = 1440
[tex] = 1440[/tex]
Hope it helps !!!
compute the indicated derivative U(t) = 5.1t^2 − 1.7t; U'(6)
Answers
Answer: 59.5
Step-by-step explanation:
U(t) = 5.1t^2 − 1.7t
U'(t)=2*5.1t-1.7
U'(t)=10.2t-1.7
U'(6)=10.2(6)-1.7
U'(6)=61.2-1.7
U'(6)=59.5
Please Help will give brainiest
Answers
So, given the operation of division, f(x)/g(x), substitute in both functions.
(f/g)(x)=((Cube root)√3x)/(5x+2)
Remember, these are rational expressions, so they cannot contain 0 in the denominator. Division by 0 creates an irrational value, and we want to keep the expressions rational. Also recall that x-x=0, so we need to figure out what x-value multiplied by 5 and added to 2 would equal 0. To do this:
5x+2=0
x=-2/5.
Plug this x-value back into the denominator to assure it is true:
5(-2/5)+2=0, and therefore, x≠-2/5.
Remember, we can’t divide by 0, and since this is a function, x=-2/5 would equal 0, so x≠-2/5.
The stock bar chart to the right presents trading
information for the week of April 28 for the Ford Motor
Company.
● Which day had the greatest high price?
● What was the day’s close on April 30?
Answers
The stock bar chart of Ford the greatest high price is on 12/09/22 for US: F: $15,540. The day close on April 30 that with a high at April 27, 2022, 15.10 high.
Initial Data Representation Lists or graphs can be used to present data. A stock chart is a graphical representation. Most stock charts display historical data regarding a stock's trading prices and volume. The stock bar chart is a typical stock chart type.
A bar chart shows the open, high, low, and closing prices of a security or asset over a predetermined amount of time. A price bar's vertical line depicts the high and low prices for the specified time period. Each price bar's left and right horizontal lines stand in for the open and closing prices.
Hence, the stock bar chart of Ford is the greatest high price is on 12/09/22 for US: F: $15,5400 and the day close on April 30 that with a high at April 27, 2022, 15.10 high.
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If g(x) = 1 − x3, find g'(0)
Answers
Answer:
Step-by-step explanation:
we just have to substitute 0 in place of x
1-(0)³, 0³ is still 0, so we're left with 1-0=1
mark me brainliest of it helped
Evaluate the function /(x) = 5x²+2x for the given value of x. Simplify your answer.
h(-4)
Answers
Answer:
h(-4) = 72
Step-by-step explanation:
Given:
h(x) = 5x² +2x
Evaluate the function h(x) = 5x²+2x for x=-4 means to
find h(-4) by substituting x with -4:
h(-4) = 5·(-4)² +2·(-4)
h(-4) = 5·16 -2·4
h(-4) = 5·16 -2·4
h(-4) = 80 -8
h(-4) = 72
Natalie works as a playground supervisor for 8 weeks during the summer at a rate of
$15.27/h. She works a 40-hour week but averages 3 hours of overtime each week,
paid at time and a half. How much will she earn each week, and for the whole
summer?
Answers
Natalie will be paid $656.61 every week in addition to $10505.76 for the summer.
What is an expression?The combination of numerical variables and operations expressed by the addition, subtraction, multiplication, and division signs constitutes a mathematical expression.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that Natalie works as a playground supervisor for 8 weeks over the summer and makes $15.27 per hour. She works a 40-hour work week, although she usually works 3 hours of overtime.
For a week = ( 40 + 3 ) x 15.27 = $656.61
For a summer = 4 x 4 = 16 weeks
For a summer = 16 x $656.61 = $10505.76
Therefore, Natalie will be paid $656.61 for a week and for summer $10505.76.
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please help
please hurry
Answers
What is a function?
A function is a sequence of ordered pairs in which x does not repeat and has one output. In this graph, we see that none of the points vertically are below each other. That is the reason that the graph is a function. For this graph not to be a function, we could plot the point (2,0) and the graph would not pass the Vertical Line Test (VLT).
Graphing any point in vertical correspondence to one of the points already graphed would make this not a function.
One example of a point that makes it not a function is (2,0).
Multiply these polynomials using the FOIL method.
[tex]( m^{\frac{1}{3} } + y^{-\frac{1}{2} } )
( m^{\frac{1}{3} } + y^{-\frac{1}{2} } )[/tex]
Answers
Foil Method we multiply first terms, then outside terms, then inside terms, then last terms, and then combine like terms for our answer.(m^1/3+y^-1/2)(m^1/3+y^-1/2) is m^2/3+2m^1/3.y^-1/2+y^-1..
What is Multiplication?
Multiplication is a method of finding the product of two or more numbers.
In foil Method we multiply first terms, then outside terms, then inside terms, then last terms, and then combine like terms for your answer.
(m^1/3+y^-1/2)(m^1/3+y^-1/2)
=m^1/3.m^1/3+m^1/3.y^-1/2+m^1/3.y^-1/2+y^-1/2.y^-1/2
When bases are same then the power will be added.
=m^2/3+2m^1/3.y^-1/2+y^-1.
Therefore m^2/3+2m^1/3.y^-1/2+y^-1 is the required solution of polynomial (m^1/3+y^-1/2)(m^1/3+y^-1/2).
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If a, b, c, and d are four different numbers and the proportion
a C
B. a b
C
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C. b
a
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D. a+b
b
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40:09
is true, which of the following is false?
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If a, b, c, and d are four different numbers and the proportion. The given statement is true.
We take one example,
When you split them, they will all equal the same thing.
A = 5 ,B = 20 20 divided by 5 equals 4
C = 28 ,D = 7 28 divided by 7 equals 4
The ratio is used to compare two amounts of the same type. For two numbers, a and b, the ratio formula is written as a: b or a/b. The ratio and proportion concepts are based on fractions. Ratio and proportion are the fundamental building blocks for many other notions in mathematics. Ratio and proportion are useful in addressing many everyday difficulties, such as comparing heights, weights, distance, or time, or when combining ingredients in cookery, and so on.
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Write the equation of the line that passes through the points (7,-4) and (5,-2).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.
Answers
Step-by-step explanation:
-2-(-4)= 2
5-7=-2
2/-2= -1
M= (-1)
y=mx+b
-2=(-1)(5)+b
-2=(-5)+b
+5. +5
3=B
Y= -1x+3
7. You take a history test that has 100 regular points and 8 bonus points. You get a score of 91 which includes 4 bonus points. Let x represent the score you would have had without the bonus points. Which equation represents this situation? . x + 91 = 100 b. ×+4=91 C. x+4=108
Answers
Answer:
B
Step-by-step explanation:
91 - 4 is 87
87 + 4 = 91
I am not entirely sure what to do in this question but if u have a time limit then I would put the answer if not just wait for another answer.
Write a slope-intercept equation for a line that passes through (7,0) and (-5,3).
Answers
Answer:
y = -1/4x + 7/4
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (3 - 0)/(-5 - 7) = 3/(-12) = -1/4
using m = -1/4, y = 0 , x = 7
y = mx + b
0 = -1/4(7) + b
0 = -7/4 + b
b = 7/4
y = -1/4x + 7/4
Dexter Technology maintains its records using cash-basis accounting. Consider the following:
During the year, the company received cash from customers, $45,000, and paid cash for salaries, $24,500.
At the beginning of the year, customers owe Dexter $1,200. By the end of the year, customers owe $7,000.
At the beginning of the year, Dexter owes salaries of $6,000. At the end of the year, Dexter owes salaries of $3,500.
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Based on the records of Dexter Technology, the net income using the cash-basis is $20,500 and the net income using accrual basis is $28,800.
What is the net income?Using the cash basis, the net income will be only for transactions that cash has either been received for or paid for:
= Cash from customers - Cash paid for salaries
= 45,000 - 24,500
= $20,500
The net income using accrual caters for the expenses and revenue that happened in a year regardless of when they are paid:
= Revenue - Salaries expense
= (45,000 - 1,200 + 7,000) - (24,500 - 6,000 + 3,500)
= $28,800
Question is:
Determine cash-basis net income and accrual-basis net income for the year.
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Triangle ABC is an equilateral triangle. Use the figure to find the value of x
Answers
The value of x in the equilateral triangle is 10
The equilateral triangle's three characteristics are: Equal on all three sides. The three angles are identical. Three symmetry lines may be seen in the figure. Additionally, each inside angle is identical (60 degrees).
A unique isosceles triangle with three equal sides is called an equilateral triangle. The formulas that we take into account most frequently for a triangle are: Dimensions of an equilateral triangle , the equilateral triangle's circumference, Equilateral triangle's height
An equiangular triangle's area can be calculated using the following formula:
If A=√3a2/4, then ABC's perimeter 3a
where a is the triangle's side length.
In equilateral triangle, the sum of the 3 angles are 180°.then the angle of each side is 60°
From the given data,
(7x-10)°=60°
7x=60+10
7x=70, x=10
Hence the value of x is 10
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What is the coordinate of the midpoint of GO?
I need help please
Answers
Answer:
0
Step-by-step explanation:between 4 and -4 is 0
leg 1: is 5 and leg 2: is 12 what is the hypotenuse
Answers
Answer:
13
Step-by-step explanation:
Hypotenuse is c
so c^2 = a^2 + b^2
c^2 = 5^2 + 12^2
c^2 = 25 + 144 = 169
c^2 = 13^2
c = 13
Select the correct answer.
Which function defines (g. f)(z)?
f(z)
g(z)
log(5z)
5z + 4
OA
(9. f)(z)
OB.
(g-f)(z): = 5x + 4+ log(5z)
OC (g. f)(z) = 5z log(5z) +4
OD. (g. f)(z) = 5z - 4-log(5z)
5z log(52) + 4log(5z)
Answers
Answer: A. (g•f)(x)= log(5x) ( 5x + 4)=5x log(5x) + 4log(5x)
Step-by-step explanation:
Hope this helps :)
Please help me i need help with this i dont understand it see photo whats the name of the equations
Answers
Answer:
commutative property of multiplicationassociative property of additionadditive inverse propertymultiplication property of zeroStep-by-step explanation:
You are asked to identify the real number properties that justify various changes in the way an expression is written.
Properties of numbersIn general, there are associative, commutative, identity, and inverse properties of addition and multiplication. You can use these properties to simplify and rewrite expressions, and to help perform arithmetic.
This is basically a vocabulary question, to see if you know the names associated with the behaviors these properties describe.
Commutative propertiesWhen an operation (such as addition or multiplication) has the commutative property, it means the order of its operands does not matter
addition: a + b = b + a
multiplication: a × b = b × a
Associative propertiesWhen an operation has the associative property, it means that grouping of operands does not matter.
addition: (a + b) + c = a + (b + c)
multiplication: (ab)c = a(bc)
Identity propertiesWhen an operation is performed using its identity element, the value of the other operand is not changed:
addition: a + 0 = a
multiplication: a × 1 = a
Inverse propertiesWhen an operation has an inverse, performing the operation with the inverse produces the identity element.
addition: a + (-a) = 0
multiplication: a × (1/a) = 1
Note: these last two properties are used to simplify and solve algebraic expressions. They let you "undo" operations done to variables or expressions.
Questions at handYou can match the given expressions to the example expressions shown above. The "multiplication property of zero" is also known as the "zero product rule": a product is zero if and only if a factor is zero.
[tex]\begin{aligned}d\cdot4=4\cdot d\quad&\text{commutative property, multiplication}\\(2+a)+8=2+(a+8)\quad&\text{associative property, addition}\\m+(-m)=0\quad&\text{additive inverse property}\\0\cdot b=0\quad&\text{multiplication property of 0}\end{aligned}[/tex]
Eric walks around a man made circular lake three times how far in km has he walked ?
Answers
Considering the circumference of a circle, it is found that Eric has walked 151.68 km.
What is the missing information?The missing information is that the lake is a circle of radius 5 miles.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by:
C = 2πr.
Hence the circumference in miles of the circle is:
C = 2π x 5 = 10π miles.
This is the length of one lap, hence the length of 3 laps is:
3 x 10π = 30π miles.
In kilometers, the distance is:
30π x 1.60934 = 151.68 km.
Hence Eric has walked 151.68 km.
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If 13 is subtracted from a number, the result is -4. Find the number.
Answers
Count to the positive from -4.
So we have -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
That’s how 9 is our answer!
Check your work: 9-13=-4
The perimeter of the parallelogram below is 32.2. What equation would you set up to solve for x? What is the value of x?
Answers
The value of x from the given figure is 8/3
Perimeter of a parallelogramThe sum of all the ides of the parallelogram is perimeter. According to the given figure;
2(3x-8)+2(16) = 32.2
Expand to have:
6x-16 + 32 = 32.2
6x + 16 = 32.2
Subtract 16 from both sides
6x = 16
x = 16/6
x = 8/3
Hence the value of x from the given figure is 8/3
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