Answer:
The width of a rectangular garden is x feet and its length is 5 feet more than twice its width. A 3-foot-wide path borders the inside of the garden on all sides, as shown in the diagram. Represent the total cost of paving the path at a rate of $2.45 per square foot and mulching the garden at a rate of $0.25 per square foot.
Combine the two functions to determine the total cost of paving the path and mulching the garden. To find the area to be paved, find the area of the garden excluding the inner portion; that is, subtract g(x) from f(x). If p(x) represents the area to be paved, then this is true:
p(x) = f(x) − g(x)
= (2x + 5x) − (2x2 − 13x + 6)
= 2x^2 + 5x − 2x^2 + 13x − 6
= 18x − 6
p(x) = 18x − 6
The cost of paving the path at the rate of $2.45 per square foot is $2.45p(x). The cost of mulching the garden at the rate of $0.25 per square foot is $0.25g(x). So, the total costs for paving the path and mulching the garden can be represented by this function:
$2.45p(x) + $0.25g(x)
= $2.45(18x − 6) + $0.25(2x^2 − 13x + 6)
= $(44.1x − 14.7) + $(0.5x2 − 3.25x + 1.5)
= $0.5x2 + $40.85x – $13.20.
Step-by-step explanation:
Edmentum answer
The area of the garden excluding the inner portion; that is, subtract g(x) from f(x). If p(x) represents the area to be paved, then we have p(x) = f(x) − g(x).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The width of a rectangular garden is x feet and its length is 5 feet more than twice its width. A 3-foot-wide path borders the inside of the garden on all sides, as shown in the diagram. Represent the total cost of paving the path at a rate of $2.45 per square foot and mulching the garden at a rate of $0.25 per square foot.
Combine the two functions to determine the total cost of paving the path and mulching the garden. To find the area to be paved, find the area of the garden excluding the inner portion; that is, subtract g(x) from f(x). If p(x) represents the area to be paved, then this is true:
p(x) = f(x) − g(x)
= (2x + 5x) − (2x² − 13x + 6)
= 2x² + 5x − 2x² + 13x − 6
= 18x − 6
p(x) = 18x − 6
The cost of paving the path at the rate of $2.45 per square foot is $2.45p(x). The cost of mulching the garden at the rate of $0.25 per square foot is $0.25g(x). So, the total costs for paving the path and mulching the garden can be represented by this function:
2.45p(x) + 0.25g(x)
= 2.45(18x − 6) + 0.25(2x² − 13x + 6)
= (44.1x − 14.7) + (0.5x² − 3.25x + 1.5)
= 0.5x² + 40.85x – 13.20
Therefore, the total costs for paving the path and mulching the garden can be represented by the function is 0.5x² + 40.85x – 13.20.
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Hyla has blocks of clay that are each 4 centimeters by 4 centimeters by 2 centimeters. She needs to cover the bottom of a box with a 2-centimeter tall layer of clay. The bottom of the box is 24 centimeters long and 20 centimeters wide. How many blocks of clay does Hyla need?
Answer:
12 or 10 blocks of clay
Step-by-step explanation:
If this is correct please give me brainliest.
Hyla needs 30 blocks of clay to cover the bottom of the box with a 2-centimeter-tall layer of clay.
What is the area?Area is a measure of the size of a two-dimensional surface or region. It is the amount of space inside a shape, usually measured in square units, such as square meters or square feet.
The area is an important concept in geometry and is used in many fields, including physics, engineering, and architecture, among others.
The solution to this question is:
The area of the bottom of the box is:
24 cm x 20 cm = 480 cm^2
Since the layer of clay needs to be 2 cm tall, the volume of clay needed to cover the bottom of the box is:
480 cm^2 x 2 cm = 960 cm^3
Each block of clay has a volume of:
4 cm x 4 cm x 2 cm = 32 cm^3
So, to find how many blocks of clay Hyla needs, we can divide the volume of clay needed by the volume of each block:
960 cm^3 ÷ 32 cm^3/block = 30 blocks of clay
Therefore, Hyla needs 30 blocks of clay to cover the bottom of the box with a 2-centimeter-tall layer of clay.
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18 students decide they don't want to be rescued and want to continue to live in the jungle . If this represents 40% of the student, How many students want to be rescued?
Answer:
let y be the total number of students.
y×40/100=18
18×100/40=y
45=y
12.A taxi service charges you $ 1.50 plus
$0.60 per mile for a trip to the airport.
Angie paid $13.50 for her ride to the
airport. How far did she travel?
Answer:
20 miles
Step-by-step explanation:
Add $1.50 plus $0.60 times 20 which is $13.50
The number you multiply to get to $13.50 is the amount of miles
find the integer less than 3 and greater than 4
Answer:
Can have that at the same time....
less than three is 2 greater than 4 is 5 ...
but cant be less than 3 and greater than 4 at the same time
Step-by-step explanation:
Mrs. Boggs writes the equation on the board.
-8+3 = -8-(-3)
Is this equation a true statement, and why?
O Yes. Both sides are equal to -5.
Yes. Both sides are equal to 5.
O No. The left side is equal to -5, and the right is equal to 5.
O No. The left side is equal to 5, and the right is equal to -5.
Answer:
(A).
Step-by-step explanation:
-8+3= -5 -8-(-3)= -5
-5= -5
Hope this helps.
Please mark me as Brainliest. Thank You.
The average weight of the top 5 fish at a fishing tournament was 13.1 pounds. Some of the weights of the fish are shown in the table.
Answer:
The Heaviest fish weigh 15.3(lb)
Step-by-step explanation:
14.9 +12.5+11.6+11.2+x/5=13.1
50.2+x/5=13.1
65/5=13
65.5/5=13.1
65.5 -50.2 = 15.3
11)-2=2+v/4 what’s the answer to this
????????????????????????????????
Answer:
D, <VMY cannot be a right angle, its an obtuse angle (more specifically, ab a 120 degree angle)
6. Use the distributive property to
multiply and write the expression
without parentheses. Combine like
terms to simplify.
8(2x - 9y) + 4(-3x + y) =
Answer:
8(2x - 9y) + 4(-3x + y) simplified is 4x-28y
Can you figure out the solution?
Options:
a) 8
b) 6
c) 2
d) 5
Answer:
6
Step-by-step explanation:
the answer is correct yep
The formula W = Fd shows the relationship between work, force, and distance solve this formula for distance
(9th grade Algebra 1)
Answer:
The choose first. d= w/F
Step-by-step explanation:
[tex]w = fd \\ \\ d = \frac{w}{f} [/tex]
I hope I helped you^_^
Answer:
its anwser B = d=WF
Step-by-step explanation:
At chucky bee restaurant, the meal costs $55.25 and desserts cost $15.75 for 5 people. How much money does each person have to pay?
Answer:
$14.20
Step-by-step explanation:
First we add both the meal ($55.25) and the dessert ($15.75) to calculate the total cost which would be $77.00 Assuming the bill was evenly split among the five people, we would divide the total cost ($77.00) by all 5 people which gives us 14.20 so each person would have to pay $14.20.
hope this helps!
Solve the equation for w.
x = w/ a. Multiple choice
W = ax
W = a/x
X = wa
W = x/a
[tex]\\ \sf\longmapsto x=\dfrac{w}{a}[/tex]
Use cross multiplication and take a to left[tex]\\ \sf\longmapsto ax=w[/tex]
[tex]\\ \sf\longmapsto w=ax[/tex]
Four times the sum of a number and ter is the same as one-hundred added to eight
times the number. What is the number?
Answer:
GIVE BRAINLIEST PLZ
I DONT NEED THNX
x = -15
Step-by-step explanation:
1) Four times sum of a number and 10
4(x + 10)
2) is equal to 100 added to 8 times the number
4(x+10) = 8x + 100
x + 10 = 2x + 25
-15 = x
5 1/4-2 2/3
Solve and show equations
Answer:
5 1/4 - 2 2/3 = 31/12 = 2 7/12 = 2.5833333
Step-by-step explanation:
1. Conversion a mixed number 5 1/4 to a improper fraction: 5 1/4 = 5 1/4 = 5 · 4 + 1/4 = 20 + 1/4 = 21/4
To find new numerator:
a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/4 = 20/4
b) Add the answer from previous step 20 to the numerator 1. New numerator is 20 + 1 = 21
c) Write a previous answer (new numerator 21) over the denominator 4.
Five and one quarter is twenty-one quarters
Conversion a mixed number 2 2/3 to a improper fraction: 2 2/3 = 2 2/3 = 2 · 3 + 2/3= 6 + 2/3 = 8/3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3
b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Subtract: 21/4 - 8/3 = 21 · 3/4 · 3 - 8 · 4/3 · 4 = 63/12- 32/12 = 63 - 32/12 = 31/12
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - twenty-one quarters minus eight thirds = thirty-one twelfths.
What number is halfway between 4 and 20?
Answer:
4....20. 12 is halfway
Step-by-step explanation:
5 19
6 18
7 17
8 16
9 15
10 14
11 13
12
The CPI value in January 2009 was 211.143; the CPI value in January 2014 was 233.916. What was the 5-year inflation rate between January 2009 and January 2014?
Answer:
211.143 233.916 Inflation rate: fo. Application of the formula to the inputs: IR = ?? -$0.10. Sample problem: The CPI value in January 2009 was 211.143
Step-by-step explanation:
The 5-year inflation rate between January 2009 and January 2014 is 10.78%.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Now, For calculate the 5-year inflation rate between January 2009 and January 2014, we can use the following formula:
Inflation rate = (CPI at end of period - CPI at beginning of period) / CPI at beginning of period x 100%
Hence, Using the values given, we can plug them into the formula:
Inflation rate = (233.916 - 211.143) / 211.143 x 100% Inflation rate
= 10.78%
Therefore, the 5-year inflation rate between January 2009 and January 2014 is 10.78%.
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If 8 years are subtracted from the present age of Jessica and 3 is added to the remaining number, then Olivia’s age can be found. If Olivia is two years older than Daniel who is 7 years old, then what is Jessica’s present age?
Answer:
Jessica is 14 years old.
Step-by-step explanation:
Let [tex]o[/tex] equal Olivia's age, let [tex]j[/tex] equal Jessica's age, and let [tex]d[/tex] equal Daniel's age. With this lets write out what we know:
[tex]d = 7[/tex]
[tex]o = d + 2 = 7 + 2 = 9[/tex]
[tex]o = j - 8 + 3 = j - 5[/tex]
[tex]9 = j - 5[/tex]
[tex]j = 9 + 5 = 14[/tex]
PLSS HELP ASAP!!!
I need to know where she went wrong in solving the equation
You arrive in Paris with $800. How many Euros do you have to spend? ($1 = 0.9033
euros as of November, 2016)
Answer:
722.64 euros
Step-by-step explanation:
800 x .9033 is 722.64
if - 48 = 6(a), then a =
Answer:
-8
Step-by-step explanation:
-48 = 6 x -8
-8 x 6 = -48
CHOW Y'all,...!!!
At the grocery store a Sprite costs $0.85, a 6 pack of Sprite is $4.08, and a 12 pack of Sprite is $8.52. Which is the better buy.
Answer:
it's better to buy the six pack
Step-by-step explanation:
4.08/6 is 0.68
8.52/12 is 0.71
making the 6 pack the better deal
please help? i’ve tried many different answers and i don’t think any of the ones i tried were right.
Answer:
6x-5=59 answer
Step-by-step explanation:
6x=64
x=64/6
x=10.66
6x-5=59
6x=59+5
6x=64
x=64/6
x=10.67(rounded off)
3(6m-17), m=5 how to solve this question
Answer:
39
Step-by-step explanation:
The "m" in 3(6m-17) is equal to 5, as told by m = 5. When we replace the m with 5, we get the equation
[tex]3(6*5-17)[/tex]
We get 6 × 5 because when two numbers are next to each other, it means to multiply.
In an equation, always do multiplication first (unless addition/subtraction is in parenthesis). After multiplying, we end up with
[tex]3(30-17)[/tex]
Always do whatever's in parenthesis first.
[tex]3(13)[/tex]
Now, we will multiply 3 with 13 because the two numbers are next to each other and there are no more steps to do in parenthesis.
[tex]3 * 13 = 39[/tex]
The value of the expression 3(6m-17), is 39.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The "m" in 3(6m-17) is equal to 5, as told by m = 5. When we replace the m with 5, we get the equation
E = 3(6m-17)
E = 3 ( 6 x 5 - 17 )
We get 6 × 5 because when two numbers are next to each other, it means to multiply.
In an equation, always do the multiplication first (unless addition/subtraction is in parenthesis). After multiplying, we end up with
E = 3 ( 30 - 17)
Always do whatever's in parenthesis first.
E = 3 ( 13 )
Now, we will multiply 3 by 13 because the two numbers are next to each other and there are no more steps to do in parenthesis.
E = 39
Therefore, the value of the expression 3(6m-17), is 39.
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what is energy????
bye have a great day
Answer:
the capacity of doing work is called energy
have a great day
Answer:
the capacity for doing work is called energy.
have a great day
stay happy and healthy
Given l ||
m
|| n, find the value of x.
(x-1)^
m
n
(8x-10°
PLEASE ASAP
I’m having so much trouble with this
Answer:
x = 9
Step-by-step explanation:
8x - 10 = 7x -1
x = 9
hope that helps
Hello everyone I have figured out the answer of the area of the triangle. I just want to have a few answers so I know I’m correct!
What is the area of this triangle?
Answer:
45 cm2Step-by-step explanation:
Given:
base =18 cm
height= 5cm
area of a triangle= base × height
2
=18cm× 5cm
2
= 90cm2
2
=45cm2
When 3/11 is written as a decimal, how many digits are in the smallest sequence of repeating digits?
A. 1
B. 2
C. 3
D. 4
Answer:
B. 2
Step-by-step explanation:
When you divide
3/11 you get 0.272727272727273
2 is the repeating decimal.
Hope this helps!
A. What do you know?
length = 25 cm, width = 18 cm, height = 10 cm
B. What do you want to find? Volume
Answer:
4500cm^3
Step-by-step explanation:
To find the volume multiply the length × width × height
25×18×10=4500
Answer:
4,500 cm³.
Step-by-step explanation:
Since L × W × H = V(olume), we get 25 × 18 × 10 which equals 4,500 cm³.
if the breadth of a rectangle is one third of its length and perimeter is 80 cm find the length and breadth of rectangle
here is your answer,
hope it helps you.
