55.9 is approximately 10% of 545.8. To calculate this, divide 55.9 by 545.8 and then multiply by 100 to get the percentage, and round to the nearest whole number as per the precision of the given values.
Explanation:To find what percent 55.9 is of 545.8, we use the formula for percentage: Percentage = (Part / Whole) × 100. Plugging in the numbers, we get:
Percentage = (55.9 / 545.8) × 100
Executing the division first (as per order of operations), we have:
Percentage = 0.1024 × 100
Now, multiplying by 100 to convert to a percentage:
Percentage = 10.24%
Rounding this to the nearest whole number, we get 10%. Because the question requires following proper rounding rules based on significant figures, we consider the least precise number provided - 55.9 (tenths place) - when determining the final answer. Therefore, we round the percentage to the tenths place to coincide with the precision of the given values.
Choose the graph which represents the solution to the inequality.
Find the range of ƒ(x) = –2x – 5 for the domain {–2, –1, 1, 2}.
By substituting each value of the domain of x in the function and solving it we will get the range of the function for respective domain
The given function is :
f(x) = -2x - 5
For x = -2 , f(x) is:
f(-2) = (-2*-2) - 5 = 4 - 5 = -1
For x = -1, f(x) is :
f(-1) = (-2*-1) - 5 = 2 - 5 = -3
For x = 1 , f(x) is
f(1) = (-2*1) - 5 = -2 -5 = -7
For x = 2, f(x) is
f(2) = (-2*2) - 5 = -4 -5 = -9
The range is -1 , -3 , -7 , -9
Hope this helps ..!!
Thank you :)
think of 2 numbers that subtract to 5 and multiply to 24
Why might algebra tiles not be a good tool to use to factor x^2 + 18x + 80? Explain.
Sample Response: Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.
How to find two consecutive positive even integers such that their sum is 48?
PLEASE HELP!!!! POINTS^^^^^^
1.) Kayla wants to find the distance, AB, across a river. She walks along the edge of the river 75 ft and marks point C. Then she walks 100 ft further and marks point D. She turns 90° and walks until her final location and marks point E. Point E, point A, and point C are collinear.
2.) Can Kayla conclude that ∆ABC and ∆EDC are similar? Why or why not?
3.) Suppose DE= 175 ft. What can Kayla conclude about AB? Explain. Don’t forget to label your answer.
1 - yes 100 and 75 are both collinear both are the same line.
2 - She can conclude that there both similar because the both go the same direction and both same shape.
3 - AB would equal 150 because the other one was 100 and the other angle was 25 down. So AB would equal 150.
Hope I helped
Decide whether the data table represents a linear function or an exponential function PLEASE!
Answer:
D
Step-by-step explanation:
50 POINTS!
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s. Which of the following must be true about the inequality and the resulting graph? Check all that apply
A)The inequality should be written as 25s<300.
B)The inequality should be written as 25s>300.
C)The circle is open.
D)The circle is closed.
E)The arrow points left.
F)The arrow points right
Answer:
Step-by-step explanation:
A,C,E
PLEASE HELP
8.06
1. Draw a graph of the rose curve.
r = 2 sin 3θ, 0 ≤ θ ≤ 2π
A) a graph of three loops originating at the origin where one loop lies on and is symmetric about the y axis and the other two loops lie in quadrants one and two
[-2, 2] by [-2, 2]
B) a graph of four loops originating at the origin where each loop is entirely contained within each quadrant
[-2, 2] by [-2, 2]
C) a graph of four loops originating at the origin where each loop is entirely contained within each quadrant
[-2, 2] by [-2, 2]
D) a graph of three loops originating at the origin where one loop lies on and is symmetric about the axis and the other two loops lie in quadrants two and three
[-2, 2] by [-2, 2]
2. The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.
a circular graph with an indentation on the top to the origin
[-5, 5] by [-5, 5] (2 points)
A) r = 2 - 2 sin θ
B) r = 3 - 2 sin θ
C) r = 2 + 2 sin θ
D) r = 1 - 3 sin θ
3. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 4 - 3 sin θ
A) Origin only
B) x-axis only
C) y-axis only
D) No symmetry
4. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 9 sin 7θ
Given that (-4,1) is on the graph of f(x), find the corresponding point for the function 4f(x)
A large frog eats 500 flies a day. How many flies does a frog eat in a 365-day year?
Rachel earned $34 dollar sign, 34 in 4 hours at her job today. She wants to know how much she could earn (e)left parenthesis, e, right parenthesis tomorrow if she works 10 hours at the same hourly rate
Answer: Hence, She earned $85 in 10 hours at her job.
Step-by-step explanation:
Since we have given that
In 4 hours at her job, amount she earned = $34
We need to find the amount she earned in 10 hours.
We will use unitary method, to find this.
In 4 hours, amount = $34
In 1 hour, amount is given by
[tex]\dfrac{34}{4}[/tex]
In 10 hours, amount is given by
[tex]\dfrac{34}{4}\times 10\\\\=\dfrac{340}{4}\\\\=\$85[/tex]
Hence, She earned $85 in 10 hours at her job.
300 pounds of oranges were purchased at $0.24 per pound. The desired markup is 50% based on selling price, but 21% spoilage is expected. What should the selling price per pound be? (Round your answer to the nearest cent)
The selling price per pound, considering 50% markup and 21% spoilage, should be approximately $2.74, rounded to nearest cent.
To find the selling price per pound, we need to consider the cost, the desired markup, and the expected spoilage.
First, let's calculate the total cost of the oranges:
Total cost = Quantity * Cost per pound
Total cost = 300 pounds * $0.24/pound
Total cost = $72
Next, let's calculate the selling price per pound with the desired markup:
Markup based on selling price = 50%
Let's denote the selling price per pound as S.
[tex]\[S = \frac{{\text{Total cost}}}{{1 - \text{Markup}}} \times (1 + \text{Markup})\]\[S = \frac{{72}}{{1 - 0.50}} \times (1 + 0.50)\]\[S = \frac{{72}}{{0.50}} \times 1.50\]\[S = 144 \times 1.50\]\[S = 216\][/tex]
So, the selling price per pound, without considering spoilage, should be $2.16.
However, since 21% spoilage is expected, we need to adjust the selling price per pound to account for the expected loss.
[tex]\[S_{\text{adjusted}} = \frac{{S}}{{1 - \text{Spoilage}}} = \frac{{2.16}}{{1 - 0.21}} = \frac{{2.16}}{{0.79}} \approx 2.738\][/tex]
Rounding to the nearest cent, the selling price per pound, accounting for expected spoilage and desired markup, should be approximately $2.74.
each blade on a windmill is in the shape of a triangle with a base of 7 feet and a height of 4 ft if there are four blades on the windmill what is the total area of the blades
The total area of the blades is the area of a triangle multiplied by 4.
We have then:
[tex] A = (4) * (1/2) * (b) * (h)
[/tex]
Where,
b: base of the blades
h: height of the blades
Substituting values we have:
[tex] A = (4) * (1/2) * (7) * (4)
[/tex]
Doing the calculation we have that the area of the blades is given by:
[tex] A = 56 feet ^ 2
[/tex]
Answer:
The total area of the blades is:
[tex] A = 56 feet ^ 2 [/tex]
Each blade on a windmill is in the shape of a triangle with a base of 7 feet and a height of 4 ft if there are four blades on the windmill what is the total area of the blades
Total area of blades= Sum of areas of all blades
=Sum of areas of four blades
As, all blades have same dimension
SO, Total area of blades=4*Area of one blade
As, shape of blade is triangle, Area of triangle=[tex] \frac{1}{2} [/tex]*base*height
Total Area of blades =4* [tex] \frac{1}{2} [/tex] * base * height
Total Area of blades =4* [tex] \frac{1}{2} [/tex] * 7 * 4
Total Area of blades =4* [tex] \frac{1}{2} [/tex] * 28
Total Area of blades =4* 14
Total Area of blades =56 square feet
Please help me I have no idea what to do.
You begin solving the equation 3+4x =51 by subtracting 3 from both sides.which is the best choice answer for step 2?
1.) There are 8 people in a room.
Each person shakes hands with each of the other people once and only once.
How many handshakes take place?
2.) A student has some pigs and some chickens.
He finds that together they have 70 heads and 200 legs.
How many pigs and how many chickens does he have?
3.) A well is 10 feet deep.
A frog climbs up 5 feet during the day, but falls back 4 feet at night.
Assuming that the frog starts at the bottom of the well,
how many days does it take the frog to get to the top?
I'm looking for work shown, too, please! :)
Answer: i know im a tad late here.
# 1: 56= 8 people shakes hands. There are 8 hand shakers and each handshake with 7 other people. It means one person handshakes with 7 people.
# 2: 200 divided by 4= 50 so 30 pigs is 120 legs and 40 chickens which is 80 legs
# 3. im not good at graphs. i do believe the other person made one through.
hope you have a good day, love. and sorry for my answer being late.
Zach uses his car for business and must keep accurate driving records so that his company will reimburse him for car expenses. When he started his trip, the odometer read 26.645, When he returned home, the odometer read 28,017. Zach's car gets about 48 miles per gallon. If the tank was full at the beginning of the trip and it cost $62.28 to fill the tank at the end of the trip, what price did Zach pay per gallon?
Whereas < is called a relational operator, x < y is called a(n) _______?
can some one help me with this?:
A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle. The python is 2.6pi meters long.
What is the radius r of the circle that the python forms?
helppppppppppppppppppppppppppppppp
Sylvia is going to pick out a souvenir hat while she is on vacation. She knows the price of the hat will increase by 5% when she pays sales tax. She writes the expression h + 0.05h to find the total amount she will pay for the hat if it costs h dollars. Jin correctly writes another expression, 1.05h, that will also find the the total amount Sylvia will pay for the hat if it costs h dollars. Use the drop-down menus to explain what each part of Sylvia's and Jin's expressions mean.
Answer:
Step-by-step explanation:
Sylvia's expression
H: Price of hat
0.05: percent sales tax
0.05 h: amount of sales tax Sylvia will pay
h+0.5 h: total amount Sylvia will pay
Jin's Expression
1.05: One whole plus percent sales tax
H: price of hat
1.05 h: total amount Sylvia will pay
in the figure below,angle y and angle x from vertical angles.angle y forms a straight line with 80° angle and the 60° angle
helpppppppppppppppppppppppppppppp
You work at an ice-cream shop. One of your jobs is to order new ice-cream cones. You pick the cone that is 5 inches high and has a diameter of 3.5 inches. What is the volume of each cone? Use 3.14 to approximate pi. Round your answer to the nearest whole number.
Answer:
The answer is about 16
Step-by-step explanation:
A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function =S+0.60M18.95, where M is the number of miles driven.
The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function =I+0.15M3.70
.
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
What is the result of adding the system of equations?
2x + y = 4
3x - y = 6
x = 2
x = 10
5x = 10
Answer: 5x =10
Step-by-step explanation:
Hi, to answer this question we have to solve the system of equations given. .By adding each equation we eliminate the variable Y .
a)2x + y = 4
+
b)3x - y = 6
________
5x =10
The result of adding the system of equations is the expression 5x =10.
if we continue and Isolate x :
x =10 / 5 = 2⇒ x=2
Feel free to ask for more if it´s necessary or if you did not understand something.
Mrs. Rodriguez has 18 packages of pens in stock at her store on monday. On tuesday, she has 5/6 the number of pens she had on monday. On Wednesday, she has 2/5 of the number of pens she had on tuesday. How many packages of pens does she hve on Wednesday?
Mrs. Rodriguez has 18 packages of pens in stock at her store on Monday.
[tex] Number \; of\; packages\; of \; Pens\; on\; Monday=18\\ \\ [/tex]
On Tuesday, she has 5/6 the number of pens she had on Monday, which means...
[tex] Number \; of\; packages\; of \; Pens\; on\; Tuesday=\frac{5}{6} \; of \ 18 = \frac{5}{6} \times 18=\frac{90}{6}=15\\ [/tex]
On Wednesday, she has 2/5 of the number of pens she had on Tuesday, which means...
\\ Number \; of\; packages\; of \; Pens\; on\; Wednesday = \frac{2}{5} \; of \ 15=\frac{2}{5} \times 15=\frac{30}{5}=6
Conclusion:
Number of packages of pens does she have on Wednesday is 6 Packages
Quiz: Area of Rectangles Assessment items A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form. $$ yd2 Assessment navigation
Quiz: Area of Rectangles Assessment items A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form. $$ yd2 Assessment navigation
Length of rectangle=13yards
Width of rectangle=23yards
The formula for, Area of rectangle= length*width
So, Area=13*23[tex] yards^{2} [/tex]
As, 13 multiplied by 23 is 299
So, Area=299[tex] yards^{2} [/tex]
To represent in fractions, Area=[tex] \frac{299}{1}yards^{2} [/tex]
Area=299[tex] yd^{2} [/tex]
15 is what percent of 40?
Pls Show Work
Thx