Answers
Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
Related Questions
Within six (6) weeks, four (4) colleagues in your department will make an important project. After the project, they were given Php100,000.00 as prize. Give the following amount of contribution each of their member exerted in making the project. How should the prize be divided to the members?
• Member A has made 25% of the total project.
• Member B has made 40% of the total project.
• Member C has made 25% of the total project.
• Member D has made 10% of the total project.
and why did you come up with your decision?
Answers
Answer:
The prize is p100,000.00, and we can define this as the 100%.
Now, we could say:
"Each member receives the same percentage of the price as the total percentage of the project that he/she did"
Then:
Member A did 25% of the total project.
Then he gets an amount X.
X = 25%
p100,000.00 = 100%
We can solve this system for X as:
X = (25%/100%)*p100,000.00 = p25,000.00
Now we can use the samme aproach for the other members:
Member B did 40% of the total project:
Then he gets an amount X.
X = 40%
p100,000.00 = 100%
X = (40%/100%)*p100,000.00 = p40,000.00
Member C did 25% of the total project.
Then he gets an amount X.
X = 25%
p100,000.00 = 100%
X = (25%/100%)*p100,000.00 = p25,000.00
Member D did 10% of the total project.
Then he gets an amount X.
X = 10%
p100,000.00 = 100%
X = (10%/100%)*p100,000.00 = p10,000.00
Now, we also could divide the price evenly between the four members:
p100,000.00/4 = p25,000.00
So they all get the same amount, but i think that the actual solution to this problem is the other one.
given that g(x)= -(x-1)^3 , write an expression for h(x) in terms of x
Answers
Answer:h(x) =-(x+5)^3
Step-by-step explanation:
Find the value of the missing angles ?
Help please for question
Answers
Based on experience, Farmer Fern knows that 15% of her eggs will be damaged in
route to the stores. In a sample of 100 eggs, what is the probability that less than
13% will be damaged?
Answers
Answer: 0.2877
Step-by-step explanation:
Given : The proportion of eggs will be damaged in route to the stores = 15% = 0.15
Sample size = 100
Let p be the probability of her eggs will be damaged.
The probability that less than 13% will be damaged is given by :-
[tex]P(p<0.13)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}<\dfrac{0.13-0.15}{\sqrt{\dfrac{0.15\times(1-0.15)}{100}}})[/tex]
[tex]=P(z<-0.56)[/tex]
[tex]=1-P(z<0.56)\\\\= 1-0.7123\\\\= 0.2877[/tex]
Hence, the required probability = 0.2877
how to write five hundred eight thousand in standard and expanded form?
Answers
Answer: Standard form would be 508,000 and Expanded form would be 500,000 + 8,000
Step-by-step explanation:
If a room has 28 people in it, how many people Are in a room 14 times it’s size?
Answers
Answer:
392
Step-by-step explanation:
times 28 by 14 and youll get 392 - may i get brainliest :)
Answer:
392 people would be in the room
Step-by-step explanation:
you do 8 times 4 which is 32 then you multiply 8 times 10= 80 add them together 112, then multiply 20 times 4= 80, finally 10 time 20=200 add all together it equals 392
all real numbers between −14 and 14 inclusive
Answers
Answer:
-13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
Answer:
-14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
Which is not a a equivalent Ratio?
a) 6:15
b) 2 :5
c) 12 : 25
d) 40:100
Answers
Answer:
A
Step-by-step explanation:
During the 2004 senatorial campaign in a large southwestern state, illegal immigration was a major issue. One of the candidates argued that illegal immigrants made use of educational and social services without having to pay property taxes. The other candidate pointed out that the cost of new homes in their state was 20–30% less than the national average due to the low wages received by the large number of illegal immigrants working on new home construction. A random sample of 5,500 registered voters was asked the question, "Are illegal immigrants generally a benefit or a liability to the state’s economy?" The results were as follows: 3,500 people responded "liability," 1,500 people responded "benefit," and 500 people responded "uncertain."
a. What is the population of interest?
b. What is the population from which the sample was selected?
c. Does the sample adequately represent the population?
d. If a second random sample of 5,000 registered voters was selected, would the results be nearly the same as the results obtained from the initial sample of 5,000 voters? Explain your answer.
Answers
Answer:
a
The population of interest is the registered voters , this is because it is the population from which the sample size is selected from.
b
The population is the registered voters of the large southwestern state
c
Well this does not adequately represent the population because this sample where selected from only the registered voters of the large southwestern state and not the whole country
d
Yes the result will be nearly the same because
Both samples are selected from the same population The size of the sample selected is sufficiently large to approximate the populationStep-by-step explanation:
From the question we are told that
The sample size is n = 5,500
Considering question a
What is the population of interest
The population of interest is the registered voters , this is because it is the population from which the sample size is selected from.
Considering question b
What is the population from which the sample was selected
The population is the registered voters of the large southwestern state
Considering question c
Does the sample adequately represent the population
Well this does not adequately represent the population because this sample where selected from only the registered voters of the large southwestern state and not the whole country
Considering question d
Yes the result will be nearly the same because
Both samples are selected from the same population The size of the sample selected is sufficiently large to approximate the population Marissa spent $56 at the flea market. She spent 1/4 of her money for
lunch. How much did Marissa spend on lunch?
Answers
Answer:
she spent $14
Step-by-step explanation:
1/4=0.25
0.25 x 56= 14
Kelly bought a pen for $2.50, a pencil for $0.36, a notebook for $3.75, and a highlighter for $1.99. She used a coupon for 10% off. How much did she spend in total?
Answers
A tennis racket is normally priced at 90.00 is on for 30% off. What is an expression for the sale price of the racket,
Answers
Answer:
90×0.7
Step-by-step explanation:
I think this is the correct answer.
100-30=70
70=0.7
1. It took Lucy two hours to read the first 108 pages of a book. She read the last 48 pages in 75 minutes. What was Lucy’s average reading rate for the entire book in pages per hour?
Answers
Answer:
I have the same question
Step-by-step explanation:
Please help i will give brainliest
Answers
A student uses the following steps to prove the sine sum identity. The proof is incorrect. Which steps is incorrect
Answers
Answer:
4
Step-by-step explanation:
The incorrect step is Step 4, cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y), the correct option is C.
What is Trigonometric Identity?Trigonometric Identities are based on the trigonometric ratios used to solve Trigonometric equations.
The steps used to solve the trigonometric identity are :
Step 1 : sin(x+y)
Step 2: cos ((π/2) - (x+y))
Step 3 : cos ( (π/2 -x) -y)
Step 4 : cos (π/2 -x) cosy + sin (π/2 -x)siny
Step 5: sinxcosy+cosxsiny
Therefore,the correct step is cos (π/2 -x) cosy + sin (π/2 -x)siny and not cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y) , the incorrect step is Step 4.
The complete question is attached with the answer.
To know more about Trigonometric Identity
https://brainly.com/question/12537661
#SPJ2
Round off to the highest place value of 5658
Answers
Answer:
6000
Step-by-step explanation:
You want to make the 5 a 6 and zero's for the rest. You make the five a six because if the number is 5 or higher you bump it up one number, if it is 4 or lower you don't need to bump it up or down. I hope this helps!
Place values is the value of a digit in relation to its position
5658 approximated to the highest place value is 6000
The number is given as:
[tex]\mathbf{Number = 5658}[/tex]
The number is in thousands; so, the highest place value is thousands
This means that the number must be approximated to thousands.
When 5658 is approximated to the nearest thousands, the approximated value is:
[tex]\mathbf{Approximated = 6000}[/tex]
Hence, 5658 approximated to the highest place value is 6000
Read more about place values at:
https://brainly.com/question/16552177
not sure need help
Answers
Answer:
8.2
Step-by-step explanation:
Please Help Due Soon!
Answers
y = 1/3x +b
1 = 1/3(9) +b
1 = 3 +b
subtract 3 from both sides
-2 = b
y = 1/3x - 2Which of the following are polynomials?
Answers
Can someone help me ASAP
Answers
Answer:
the y intercept is -4 and the slope is 1
Step-by-step explanation:
Can you use the same multiplication fact to find 4x60 and 3x80
Answers
Answer:
Yes you can
Step-by-step explanation:
The square root of 144
Answers
Answer:
12
Step-by-step explanation:
What value of x makes this equation true?
0.5x – 8= 0.2x + 7
Answers
0.5 times 50=25 -8 = 17
0.2 times 50= 10 +7 = 17
Therefore, your answer is 50.
Jasmine wrote a number that is the opposite of -3. What
number did Jasmine write?
0 1/3
3
0
-3
Answers
Answer:
3
Step-by-step explanation:
This is because its the opposite.
Jasmine would write 3.
Hope this helps!!
Answer:
c
Step-by-step explanation:
Martel sold 7 cups of lemonade at his lemonade stand. How many fluid ounces did he sell?
Answers
Answer: Your answer is 56 fluid ounces
Step-by-step explanation: 1 cup (in the us) is equivalent to 8 fluid ounces (in the us) and 8 times 7 is 56!
Hope this helps, if not, comment below please!!!
Answer:
56 fluid ounces
Step-by-step explanation:
One cup has 8 fluid ounces and one fluid ounce is 0.13 cups.
cup * 8 = fl-oz
14. Solve and check the solution .2x + 1/3 =
4/3*
O X = 1/3
O X = 1/2
Answers
[tex]2x + \frac{1}{3} = \frac{4}{3} [/tex]
[tex]2x = \frac{4}{3} - \frac{1}{3} [/tex]
[tex]2x = \frac{3}{3} [/tex]
[tex]2x = 1[/tex]
[tex]\color{hotpink}x = \frac{1}{2} [/tex]
Therefore , the correct option is :-
[tex]\color{yellow}\mapsto\color{teal}x =\color{magenta} \frac{1}{2} [/tex]
need help plz can someone please help
Answers
Answer:
D
Step-by-step explanation:
Answer:
d. 40
Step-by-step explanation:
Express each ratio as a fraction in the simplest form. 12 pennies to 24 pennies
Answers
Answer: 1:2
Step-by-step explanation:
24 ÷ 12 = 2
12 ÷ 12 = 1
Answer to the question is 1:2
If the sum of three consecutive numbers is 852, what is the middle one?
Answers
Divide the total by the quantity of numbers:
852/3 = 284
Because there are an odd quantity of numbers (3) the answer is the middle number.
The answer is 284
A submarine descends to a depth of 600 feet below the surface in 10 minutes. At this rate, what integer represents the change, in feet, of the submarine's position after one minute?
I really need help.
Answers
A submarine descends to a depth of 600 feet below the surface in 10 minutes. At this rate, what integer represents the change, in feet, of the submarine's position after one minute?
First you need to list what you're given.
A submarine descends to a depth of 600 ft below the surface in 10 minutes. The question is asking for the change of the submarine's position after one minute. This can be represented as fractions in terms of [tex]\frac{distance}{time}[/tex].
[tex]\frac{600}{10} = \frac{x}{1}[/tex]
You're looking for the value of x. First you need to cross-multiply.
[tex]600 \times 1 = 10 \times x\\600=10x[/tex]
Since you're looking for x alone, you need to divide both sides by 10. This will eliminate the 10 since x is being multiplied by 10, and 10 divided by 10 is 1, making it 1x or x.
[tex]\frac{600}{10} = \frac{10x}{10}[/tex]
[tex]60=x[/tex]
That means the submarine is descending at a rate of 60 feet per minute, which can be represented as -60.
If you're looking for the submarine's position after one minute, all you have to do is subtract 60.
600 feet below surface is represented as -600.
[tex]-600-60=-660[/tex]
The submarine's position after one minute is 660 feet below surface(-660).