Answer:
[tex]20 ft\times 60 ft[/tex] or [tex]30ft\times 40ft[/tex]
Step-by-step explanation:
We are given that
Total fencing used=100 ft
Area enclosed=1200 square ft
Let length of rectangular pig pen=x
Breadth of rectangular pig pen=y
Fencing used=2x+y
[tex]100=2x+y[/tex]
[tex]y=100-2x[/tex]
Area of rectangular pig pen=[tex]xy=x(100-2x)[/tex]
[tex]1200=100x-2x^2[/tex]
[tex]2x^2-100x+1200=0[/tex]
[tex]x^2-50x+600=0[/tex]
[tex]x^2-20x-30x+600=0[/tex]
[tex]x(x-20)-30(x-20)=0[/tex]
[tex](x-20)(x-30)=0[/tex]
[tex]x=20[/tex]
[tex]x-30=0\implies x=30[/tex]
When x=20ft
[tex]y=100-2(20)=60[/tex]ft
When x=30 ft
[tex]y=100-2(30)=40[/tex]ft
Dimension of fence is give by
[tex]20 ft\times 60 ft[/tex] or [tex]30ft\times 40ft[/tex]
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Answer:
5) 27/70
6) 90
Step-by-step explanation:
5) The first step in this problem is to figure out the amount of total spins. To do so, add up all of the numbers in the column "Frequency".
18 + 15 + 27 + 10 = 70.
Now, look at the amount of times the spinner landed on green. This is 27 times. So, the ratio of green spins to total spins is 27:70, or 27 out of 70 spins. Converting this to a fraction, we get the final answer, 27/70.
6) To solve this problem, we have to first do the same steps as the previous problem, but with the color red. There are 70 total spins, and 18 red spins. Therefore, the ratio is 18:70. However, this problem wants the total number of spins to be 350. In other words, 70 needs to become 350. To do this, multiply each side of the ratio by 5. The ratio becomes 90:350. Using this ratio, we can determine that a solid prediction is 90 red spins out of 350 total spins.
Answer:
5) 27/70
6) 90
Step-by-step explanation:
5)
What is the probability of spinning green?
Here are all of the values in the table:
Red = 18
Yellow = 15
Green = 27
Purple = 10
Add them together
= 70
Write green / total as a fraction
27/70
6)
Red = 18
Yellow = 15
Green = 27
Purple = 10
Write red / total (70) as a fraction
18/70
Multiply both the numerator and denominator by 5 to get a denominator of 350
18 * 5 / 70 * 5
90/350
Remove the denominator to find how many times he chose red out of 350 trials
90
Hope this helps :)
HELP ILL GIVE MOST BRAINLY AND 50 POINTS
HURRY PLEASE
Answer: C Or the third answer
Step-by-step explanation:
You square root it and get x+b/2a=±(√b^2-4ac)/√4a^2 which is the third answer or c
Answer:
Third option
Step-by-step explanation:
(x + b/2a)² = (-4ac + b²)/4a²
Square root both sides
x + b/2a = +/- sqrt(b² - 4ac)/sqrt(4a²)
What is the measure of JL (the minor arc)?
Answer:
164°
Step-by-step explanation:
By inscribed angle theorem:
[tex]m\overset {\frown} {JL} = 2 \times m\angle JKL\\
\therefore m\overset {\frown} {JL} = 2 \times 82°\\
\huge \red {\boxed {\therefore m\overset {\frown} {JL} = 164°}} \\ [/tex]
Answer:
164
Step-by-step explanation:
I learned about it.
What are the solutions to x2 + 4x - 12 = 0?
x= -2 or x = 6
x= 3 or x= -4
x= 2 or x = -6
x= 4 or x = -3
Answer:
x= -6 x=2
Step-by-step explanation:
x^2 + 4x - 12 = 0
Factor, what 2 terms multiply to -12 and add to 4
6* -2 = -12
6+-2 = 4
( x+6) (x-2) =0
Using the zero product property
x+6 =0 x-2=0
x= -6 x=2
Answer:
option C will be the correct answer
x= 2 or x = -6
Step-by-step explanation:
[tex]x {}^{2} + 4x - 12 = 0? \\ {x}^{2} + 6x - 2x - 12 = 0 \\ x(x + 6) - 2(x + 6) = 0 \\ (x - 2)(x + 6) = 0 \\ x - 2 = 0 \: \: \: \: or \: \: \: \: x + 6 = 0 \\ x = 2 \: \: \: \: or \: \: \: \: x = - 6[/tex]
7. If a 12 pack of soda cost Mr. Key $3.84, what would the unit price be for
one can? Write your answer using the constant of proportionality
equation
O
y 3.125x
O y-0.23
O y = 0,32%
y
0.30X
Answer:
32 cents
Step-by-step explanation:
3.84 ÷ 12 = 0.32 so 32 cents
Hadi earned $358.00 from job this week. Next week, he expects his pay to be 17% less than it was this week. How much money should Hadi expect to be paid next week?
Answer: $297.14
Step-by-step explanation:
Let n be his pay,
X = n - n(17%)
X = n - n(0.17)
X = (358) - 358(0.17)
X = 358 - 60.86
X = $297.14
Identify the percent amount and base in this problem
75% of what number is 30%?
Answer:
2/5 or 0.4
Step-by-step explanation:
Let the number be x
75% of x = 30%
[tex]\frac{75}{100}*x=\frac{30}{100}\\\\x =\frac{30}{100}*\frac{100}{75}\\\\x=\frac{30}{75}\\\\x=\frac{2}{5}[/tex]
Natalie can type 54 words per minute when transcribing an audio recording. Natalie needs to transcribe an audio recording with 7,938 words.
How many minutes will it take Natalie to transcribe the recording?
Answer:
147 mins
Step-by-step explanation:
7938/54
Answer:
147 minutes (2 hours, 27 minutes)
Step-by-step explanation:
7938/54
65=15+x^2 solve for x
Answer:
±5sqrt(2) =x
Step-by-step explanation:
65=15+x^2
Subtract 15 from each side
65-15=15-15+x^2
50 = x^2
Take the square root of each side
±sqrt(50) = sqrt(x^2)
±sqrt(25*2) =x
±sqrt(25)sqrt(2) =x
±5sqrt(2) =x
1. Lynn has learned that she will need to save $1 million dollars to support her current lifestyle if she
retires in 15 years. Lynn jiad not thought about planning for retirement until now. If she begins
saving now, she will need to save approximately $67,000 per year. Based on her annual income of
$75,000, this goal is not attainable. How would Lynn's retirement be affected if she had understood
the importance of planning for retirement earlier?
Answer:
Given 40 years of time to plan in advance for retirement, Lynn would only need to save $25000 per year to end up with $1 million, which is attainable.
Step-by-step explanation:
Lets say that she starts planning for retire with 40 years in advance instead of just 15, if that is the case, then she would need to save $1.000.000/40 = $25.000 per year, which is a pretty big ammount but it is much more attainable than $67000, since it is only a third of her annual income.
1/2 plus what equals 7/8
To find the number that, when added to 1/2, equals 7/8, you must subtract 1/2 from 7/8. The solution to this problem is 3/8, meaning that 1/2 plus 3/8 equals 7/8.
Explanation:To solve the problem 1/2 plus what equals 7/8, you need to subtract 1/2 from 7/8. This is because you want to find out what number added to 1/2 will give you 7/8. Here is the step-by-step solution:
Convert 1/2 and 7/8 into decimal form. This would be 0.5 and 0.875, respectively. Then subtract 0.5 (which is 1/2) from 0.875 (which is 7/8). This results in 0.375. Then, convert 0.375 back into a fraction. The decimal 0.375 is equal to the fraction 3/8.So, 1/2 plus 3/8 equals 7/8.
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Final answer:
To find the number that when added to 1/2 equals 7/8, convert 1/2 to 4/8 so both fractions have a common denominator. Subtract 4/8 from 7/8, resulting in 3/8. Thus, 1/2 plus 3/8 equals 7/8.
Explanation:
The student is asking us to find the number that, when added to 1/2, equals 7/8. To solve this, we need to find a common denominator, which is 8 in this case. For 1/2, we multiply the numerator and denominator by 4 to convert it to 4/8. Now we have a common denominator, so we can find the missing number.
7/8 - 4/8 = 3/8
Therefore, 1/2 plus 3/8 equals 7/8. This calculation is based on the intuition that a number is needed to bridge the gap between 4/8 and 7/8.
The two cones below have the same radius, height, and
volume.
Are the two cones congruent? Explain and include
details to support your clain
I don't want to write the whole thing for you since that would be plagiarism for you to take, but be sure to include these key points:
One cone is oblique.
The cones have different slant heights.
The lengths of all corresponding edges are not equal.
Congruent cones must have congruent corresponding measures, including slant height.
Hope this helps!
The two cones are congruent because they have the same radius, height, and volume - all factors that determine a cone's size and shape.
Explanation:Yes, the two cones are congruent. In mathematics, two shapes are considered congruent when they have the exact same size and shape. When it comes to cones, this means that they possess the same radius and height. Since the question states that both the radius and height of the two cones are the same, we can deduce that the cones are congruent. The volume of a cone is determined by its radius and height (V=1/3πr²h) and since this is also the same for the two cones, it backs up the claim of congruency.
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The frequency table represents the job status of a number of high school students.
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150.
Which shows the conditional relative frequency table by column?
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5.
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
To create the conditional relative frequency table, divide each entry in the original frequency table by the corresponding entry in the 'total' column.
Explanation:The conditional relative frequency table can be created by dividing each entry in the original frequency table by the corresponding entry in the 'total' column. The first column in the conditional relative frequency table will still have the labels 'currently employed', 'not currently employed', and 'total'. The second column will be labeled 'Looking for a job' with entries 0.12, 0.38, 0.33. The third column will be labeled 'Not looking for a job' with entries 0.7, 0.65, 1.0. And the fourth column will remain labeled 'total' with entries 0.27, 0.73, 1.0.
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The ratio of a right angle to the total degrees in a circle is
Select one:
a. 1:2
b. 1:4
c. 1:3
d. 1:5
The ratio of a right angle to the total degrees in a circle is 90:360, which simplifies to a ratio of 1:4.
The ratio of a right angle to the total degrees in a circle can be found by comparing the degree measures of each. A right angle is 90 degrees, and a full circle is 360 degrees.
Therefore, the ratio of a right angle to the total degrees in a circle is 90:360.
When simplifying this ratio, we divide both terms by 90, the degree measure of the right angle, which gives us 1:4.
Hence, the ratio is simplified to 1:4.
If you need to put 28.93 gallons of ice cream into just cups, how many cups can you make out of these? Round to a whole number.
Answer:
16 cups = 1 gallon
16( 28.93) = 462.88
Therefore, there are 462 cups of ice cream.
Step-by-step explanation:
Answer:
463 cups
Step-by-step explanation:
16 cups in one gallon.
1 | 28.93
—————- = 462.88 cups
| 16
What do you get when you subtract 9 from b?
When you subtract 9 from the variable "b," you get the expression:
b - 9
When you subtract 9 from the variable "b," you are performing a basic arithmetic operation in algebra. This subtraction results in a new value, which is b decreased by 9 units. In mathematical terms, it can be represented as:
b - 9
This expression represents the concept of taking a quantity, "b," and reducing it by 9. The result will depend on the specific value of "b." For example, if b = 15, then b - 9 would equal 6. If b = 20, then b - 9 would equal 11. In essence, subtracting 9 from "b" simply means subtracting 9 from the value represented by "b," whatever that value may be.
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Brittany surveyed the 37 students in her math class on whether they liked
jogging. Of the girls, 14 liked jogging and 8 did not. How many boys are in
Brittany's class?
Answer:15 boys
Step-by-step explanation:
14+8
37-22
Translation,rotation,reflection or dilation?
Answer:
I believe this would be a translation
Step-by-step explanation:
Answer:
Translation
Step-by-step explanation:
You didn’t flip it you just moved it
Does -8 have a greater absolute value than 6
Answer:
yes.
Step-by-step explanation:
because -8 absolute value is 8
Answer:
yes beacuse -8 have a greater absolute value than 6
One-half of the dogs in each shelter are between which weights?
O between 8 and 30 pounds in shelter A; between 10 and 28 pounds in shelter B
O between 8 and 17 pounds in shelter A; between 10 and 16 pounds in shelter B
between 21 and 30 pounds in shelter A between 18 and 28 pounds in shelter B
O between 28 and 30 pounds in shelter A; between 20 and 28 pounds in shelter B
Final answer:
The correct statement is B, which describes the weight loss range for the middle 50 percent of the members, indicating an interquartile range scenario.
Explanation:
The question you've asked seems to pertain to data interpretation and understanding statistical statements regarding weight loss in a specific group of members. This seems to be a statistical analysis question which falls under the subject of Mathematics. Specifically, this question is likely related to the topics of median, quartiles, and potentially, data distribution covered in high school level mathematics.
Based on the provided statements, the correct assertion appears to be B. The middle 50 percent of the members lost from two to 8.5 lbs. This statement indicates that the middle 50 percent is referring to the interquartile range in statistical terminology, which is a measure of statistical dispersion being the difference between the 75th and 25th percentiles. Choices A and C don't provide enough information to confirm their accuracy without additional context, and choice D cannot be correct without both A and C being correct.
A roll of plastic electrical tape costs 2.79$. If the sales tax rate is 5% then how much sales tax is being charged?
Answer:
$0.1395
Step-by-step explanation:
$2.79 x 0.05 = 0.1395
Answer:
14¢
Step-by-step explanation:
To solve this problem, we need to multiply 2.79 by 5%.
First, lets change 5% into a decimal as shown below:
5% -> [tex]\frac{5}{100}[/tex] -> 0.05
Now, lets multiply 2.79 by 0.05:
[tex]x=2.79(0.05)[/tex]
[tex]x=.1395[/tex]
The last step is to round our number. 0.1395 rounded to the nearest hundredth gives us .14 (14¢)
The sales tax being charged is 14¢
Solve the following system of equations.
{y= 7x + 11
{y= −3x + 1
Enter your answer as an ordered pair using parentheses and a comma,
like this: (42, 53)
Answer:
I don't know if I'mwrong right or worng because I got the same answer -1,4
Step-by-step explanation:
The solution of the system as an ordered pair is (-1, 4).
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
A system of equations.
y = 7x + 11 {equation 1}
y = −3x + 1 {equation 2}
Substituting the value of y from the equation 1 to equation 2,
7x + 11 = -3x + 1
10x = -10
x = -1
And y = 4
Therefore, the solution is (-1, 4).
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Solve the inequality n + 20 < -42, and write the solution in interval notation.
Answer:
(-∞, -62)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsInterval Notation - [Brackets] denote inclusion, (Parenthesis) denote exclusionStep-by-step explanation:
Step 1: Define
n + 20 < -42
Step 2: Solve for n
[Subtraction Property of Equality] Subtract 20 on both sides: n < -62∴ Any number n smaller than -62 would work as a solution to the inequality. Our solution set in interval notation would be (-∞, -62).
Find the value of x.
Answer:
11
Step-by-step explanation:
7x + 2 + 4x = 90
11x + 2 = 90
11x = 88
x = 11
True or false:(6.9×10^8) (3.1×10^8)=2.139×10^17.
A true
B false
Answer:
True
Step-by-step explanation:
Answer:
i believe true
Step-by-step explanation:
i worked it and i got the same answer
Find an explicit formula for the geometric sequence 96,24,6,1.5,...
Answer: 96 / 4 ^n-1
Step-by-step explanation:
This is a geometric sequence with a first term of 96. The common ratio is the division of the 2nd term by the first term. This will be:
24/96 = 1/4
a = 96
r = 1/4
The formula will be:
ar ^n-1
= 96 × (1/4)^n-1
The concluding part is explained in the attached file.
Answer:
96(1/4)^n-1
Step-by-step explanation:
What is the volume of the box with a height of 3/2 inches a length of 7/2 inches and a width of 5/2 inches
A cereal company is putting 111 of 444 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1/41/41, slash, 4. Vera wonders how many boxes she should expect to buy to get all 444 prizes. She carried out 363636 trials of a simulation and her results are shown below. Each dot represents how many boxes it took to get all 444 prizes in that trial.
Answer:
(27/36) = (3/4) = 0.75
Step-by-step explanation:
The complete question is attached to this solution.
P(9 or fewer boxes) = P(x ≤ 9)
Since Vera carried out the simulation/experiment, this probability will be read from the results of her simulation (the dotplot).
Note that the dots on the numbers of the dotplot represent the number of boxes it took Vera to get all the prizes.
So, the probability of getting all the prizes in 9 or fewer boxes will be just counting the number of times in the simulation where she got the 4 prizes in 9 boxes or fewer.
This starts from the least number on the dotplot, 4 all the way to 9.
Total number of simulations = 36
P(x ≤ 9) = P(x=4) + P(x=5) + P(x=6) + P(x=7) + P(x=8) + P(x=9)
= (4/36) + (6/36) + (3/36) + (4/36) + (4/36) + (6/36) = (27/36)
Hope this Helps!!!!
This question is about the Coupon Collector's problem in probability theory. The expected number of cereal boxes one would need to buy to collect all 444 prizes can be calculated using the formula for the expected value of the coupon collector's problem: E[X] = n*(1 + 1/2 + 1/3 + ... + 1/n).
Explanation:This problem is essentially a mathematical statistics problem, more specifically, it involves the concept of probability and expected value. In this case, the company is inserting a prize into each box of cereal. There are 444 unique prizes, and the probability of getting any specific prize is 1 out of 444. Therefore, the number of boxes one would need to buy to collect all prizes follows what is known as the Coupon Collector's problem in probability theory.
The expected number of boxes one would need to buy can be calculated using the formula for the expected value of the coupon collector's problem: E[X] = n*(1 + 1/2 + 1/3 + ... + 1/n), where n is the number of unique prizes.
Plugging n = 444 into the formula gives us: E[X] = 444*(1 + 1/2 + 1/3 + ... + 1/444). For a large number of trials, this value will closely approximate the average number of boxes one would need to buy to collect all 444 prizes.
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In Vincent's classroom there are red chairs, yellow chairs, and blue chairs. There are 6 red
chairs. There are 3 times as many yellow chairs as red chairs, and there are 2 fewer blue
chairs than yellow chairs. How many chairs are there in Vincent's classroom?
Answer:
40 chairs
there are 6 red chairs
18 yellow chairs
and 16 blue chairs
added together that is 40
Step-by-step explanation:
Brian has reduced his cholesterol level by 16% after his last check up. If his original level was 200, what is his cholesterol level now?
Answer:
32 is his cholesterol
Step-by-step explanation: