Kelly bought 4 boxes of sunglasses at a swap meet. Each box had 20, 25, or 30 pairs in it. Kelly estimates a reasonable number of sunglasses to be 70.
Answers
Kelly's estimate cannot be said to be reasonable because it falls below the range of acceptable number of sunglasses from the given amount in each box.
How to solve Algebra Word Problems?We are told that Kelly bought 4 boxes.
Now, we are told that each box had either 20, 25, or 30 pairs of sunglasses in it.
Thus;
Minimum number of sunglasses = 20 * 4 = 80 sunglasses
Maximum number of sunglasses = 30 * 4 = 120 sunglasses
Now, we are told that Kelly estimates a reasonable number of sunglasses to be 70.
From our previous calculations, the minimum possible can only be 80 and as such her estimate falls lower and we conclude that it is unreasonable.
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Related Questions
What is the solution to the inequality (2n+5] > 1? THE 3>n> -2 2 -2 on< 2 or n > 3
Answers
Answer: It is not a real expression there is no answer
Step-by-step explanation:
Use the given sequence to answer this following questions:
1, 6, 11, 16, 21, ...
1. Write a rule for the nth term of the arithmetic sequence. (Do not put any spaces between terms when writing the rule.)
2 find the tenth term.
Answers
Given:
The arithmetic sequence is:
\(1, 6, 11, 16, 21,...\)
To find:
1. The rule for the nth term of the given arithmetic sequence.
2. The 10th term of the given arithmetic sequence.
Solution:
1. We have,
\(1, 6, 11, 16, 21,...\)
Here, the first term is 1 and the common difference is:
\(d=a_2-a_1\)
\(d=6-1\)
\(d=5\)
The nth term of an arithmetic sequence is:
\(a_n=a+(n-1)d\)
Where, a is the first term and d is the common difference.
Putting \(a=1,\ d=5\), we get
\(a_n=1+(n-1)5\)
\(a_n=1+5n-5\)
\(a_n=5n-4\)
Therefore, the nth term of the given sequence is \(a_n=5n-4\).
2. We need to find the 10th term of the given arithmetic sequence.
From part 1 it is clear that the nth term of the given arithmetic sequence is:
\(a_n=5n-4\)
Putting \(n=10\), we get
\(a_{10}=5(10)-4\)
\(a_{10}=50-4\)
\(a_{10}=46\)
Therefore, the 10th term of the given arithmetic sequence is 46.
Please help please please please
Answers
Answer:
m<M = 76°
m<N = 76°
LN = 18 in
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180.
triangle LMN is an isosceles triangle and the measure of M is equal to N and LM = LN.
Now the measure of missing angle:
m<M + m<N + 28 = 180 subtract 28 from both sides
m<M + m<N = 152 since the measure of M is equal to N divide 152 by 2
152 ÷ 2 = 76 each angle is 76°
The hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh a total of 249 ounces.
A table titled Weight of Books showing Number of Books, Weight per book in ounces, and Total Weight in ounces. The first row shows Hard Cover, with h, 7, and 7 h. The second row shows Paperback, with 45 minus h, 5, and x. The third row shows Total, with 45, blank, and 249.
Which value could replace x in the table?
40 – h
50 – h
5(45) – h
5(45 – h)
Answers
Answer:
The Correct answer is D.) 5(45 – h)
Step-by-step explanation:
x can be replaced by 5(45 - h)
Tap the THANKS button and RATE ⭐️
Answer:
its d
Step-by-step explanation:
just took the quiz
Choose the equations that are equivalent. Select all that apply. A. 52 = 8n + 4 B. 4(2n + 1) = 52 C. 4 = 52 – 8n D. 4n = 48
Answers
The equivalent equations are first i.e 52 = 8n + 4, second i.e. 4(2n + 1) = 52 and third equation i.e. 4 = 52 – 8n.
What are equivalent equations?
Equations in algebra are said to be equivalent if their solutions or roots are equal. When the same amount or expression is added to or removed from both sides of an equation, the result is the same. A non-zero equation can be made similar by multiplying or dividing both sides by the same value.
We are given different equations. In order to find equivalent equations, we will simplify each equation.
A. 52 = 8n + 4
B. 4(2n + 1) = 52
⇒ 8n + 4 = 52
This is same as the first.
C. 4 = 52 – 8n
⇒ 4 + 8n = 52
This is same as the first.
D. 4n = 48
This is not same as the first.
Hence, the equivalent equations are first, second and third equation.
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A matrix a is given. Determine if the system ax = b (where x and b have the appropriate number of components) has a solution for all choices of b.
Answers
If the rank of matrix A is equal to the number of columns of A, and the rank of matrix A is equal to the rank of the augmented matrix [A|b], then the system Ax = b will have a unique solution for all choices of b. Otherwise, the system Ax = b will not have a unique solution for all choices of b.
To determine if the system ax = b has a solution for all choices of b, we need to look at the rank of the matrix A and the rank of the matrix formed by appending the vector b to the matrix A.
The rank of a matrix is the number of linearly independent rows or columns in the matrix. If the rank of matrix A is equal to the number of columns in A, then matrix A is full rank and the system Ax = b will have a unique solution for all choices of b. If the rank of matrix A is less than the number of columns in A, then matrix A is not full rank, and the system Ax = b will not have a unique solution for all choices of b.
If the rank of matrix A is equal to the rank of the matrix formed by appending the vector b to matrix A, the system Ax = b will have a unique solution for all choices of b. If the rank of matrix A is less than the rank of the matrix formed by appending the vector b to matrix A, the system Ax = b will not have a unique solution for all choices of b.
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pls help with this one -4 divided by - 2/3
Answers
Answer:
6
Step-by-step explanation:
what you do is because you are dividing -4 by -2/3 you have to flip -2/3 to make it -3/2..
so ...
-4/ -2/3 = -4 x -3/2 ( so here you take -2/3 and flip it and multiply by -4)
now all you do is multiply
12/2 you get 6 ! HOPE this helped out alittle
Round off the following measurements (a) 3.774499 L to four significant figures (b) 255.0974 K to three significant figures (c) 55.265Kg to four significant figures
Answers
(a) 3.774499 L rounded to four significant figures is 3.774 L.
(b) 255.0974 K rounded to three significant figures is 255 K.
(c) 55.265 Kg rounded to four significant figures is 55.27 Kg.
(a) To round 3.774499 L to four significant figures, we look at the fourth digit after the decimal point. Since it is a 4, which is less than 5, we simply drop the remaining digits after the fourth significant figure. Therefore, the rounded value is 3.774 L.
(b) To round 255.0974 K to three significant figures, we look at the third digit from the left. The digit after that is a 7, which is greater than 5. In this case, we round up the third digit. Therefore, the rounded value is 255 K.
(c) To round 55.265 Kg to four significant figures, we look at the fourth digit after the decimal point. Since it is a 5, which is exactly 5, we need to apply the rounding rule for ties. In this case, we round the previous digit to the nearest even number. Since the previous digit, 6, is even, we round down. Therefore, the rounded value is 55.27 Kg.
Rounding measurements to significant figures is a way to express the precision of a number while reducing the number of digits. It helps maintain consistency in reporting measurements and prevents unnecessary precision. When rounding, we consider the digit to be rounded, as well as the digits following it. If the following digit is less than 5, we drop the remaining digits. If it is equal to or greater than 5, we round up the preceding digit. In the case of ties (when the following digit is exactly 5), we apply the rounding ruze for ties, which involves rounding the preceding digit to the nearest even number.
In the given examples, we rounded the measurements to the specified number of significant figures. It's important to note that rounding introduces some level of approximation, which may result in a loss of precision. The rounded values provide a simpler representation of the measurements while preserving the significant figures and conveying the necessary level of precision for the given context.
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In physics lab, you measure three quantities: x, y, and z. Suppose that x=2.5 kg, y=0.8 m, and z=4.9 kg/m. Which of the mathematical combinations might be meaningful?(x/y) - z(x/z) - yx+y+z(xz) + yxyzx - (y/z)xy/z(x-y)/z
Answers
not meaningful: x+y+z, x - (y/z), (x-y)/z, (xz) + y
In physics lab, when you measure three quantities of x, y, and z, you can use these mathematical combinations to find meaningful relationships between these quantities:
(x/y) - z(x/z) - yx - (yz)In this case, x=2.5 kg, y=0.8 m, and z=4.9 kg/m.
Based on the given quantities' scale, we know that x, y, and z have a relationship where:
z = x/y
Then, the mathematical combinations that might be meaningful are:
- (x/y) - z: This combination gives you the difference between the ratio of x and y, and z. This could be meaningful if you are trying to find the difference between two quantities that have different units.
- (x/z) - y: This combination gives you the difference between the ratio of x and z, and y. This could be meaningful if you are trying to find the difference between two quantities that have different units.
- x - (yz): This combination gives you the difference between the ratio of x and z, and y. This could be meaningful if you are trying to find the difference between two quantities that have different units.
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Convert y = x + 5x - 6 to factored form and identify the x-intercepts. x² . O a. y = (x - 6)(x + 1); x-intercepts (6,0) and (-1, 0) "
Answers
The equation y = x^2 + 5x - 6 can be factored as y = (x - 1)(x + 6). The x-intercepts of the equation are (1, 0) and (-6, 0).
To convert the equation y = x^2 + 5x - 6 to factored form, we factor the quadratic expression. The factored form is y = (x - 1)(x + 6).
To identify the x-intercepts, we set y = 0 and solve for x. Setting each factor equal to zero gives us x - 1 = 0, which leads to x = 1, and x + 6 = 0, which gives x = -6.
Therefore, the x-intercepts of the equation y = x^2 + 5x - 6 are (1, 0) and (-6, 0).
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PLEASE I NEED IT ASAP
5 8/25 as a decimal with work
Answers
Answer: 5 8/25 as a Decimal is : (5.32)
Answer:
5 8/25 as decimal is 5.32
A student walks from school to home by walking 6 blocks north and 8 blocks east. How
far is the student's house from the school?
Answers
Answer:
10
Step-by-step explanation:
Pithagaren theorem 6²+8²=c²
36+64=c²
100=c² (then do the inverse)
√100=c
10=c
10 points!
An artist has been hired to paint a mural of a sailboat on the side of a building. The original sailboat is 32 feet in length and has a mast height of 40 feet. The
artist will create the mural using a scale factor of 4:3 to relate the original dimensions to mural dimensions.
How tall will the mast of the sailboat be in the mural?
_____ ft?
Answers
Answer:
30 feet
Step-by-step explanation:
A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,
original mast height = 40 feet
4 * x = original mast height = 40 feet
divide both sides by 4 to get x
x = 10 feet
3 * x = mural mast height = 3 * 10 feet = 30 feet
Without using a calculator convert the decimal into a fraction
0. 75
Answers
Step-by-step explanation:
Decimals can always be put over 1, as they're part of a whole number.
\(\frac{0.75}{1}\)
Multiply both numerator and denominator by 100:
\(\frac{0.75 \times 100}{1\times 100} =\frac{75}{100}\)
\(\frac{0.75}{1} \: and \: \frac{75}{100} \: are \: fractions \: of \: 0.75\)
Write the following decimal as fraction or mixed number In lowest terms 258.14(Simplify your answer.type whole number ,proper fraction or mixed number)
Answers
Given the following number:
\(\text{ 258.14}\)Let's write it in a fraction or mixed number in the lowest terms.
Since the decimal is 0.14, putting it into fraction will be:
\(\text{ 0.14 = }\frac{14}{100}\)Simplifying,
\(\text{ }\frac{14}{100}\text{ = }\frac{7}{50}\)258 is a whole number, thus, it will become a mixed number, we just add 258 and 7/50.
The answer is, therefore:
\(\text{ 258.14 = 258 }\frac{7}{50}\)\(\text{ Answer: 258 }\frac{7}{50}\)Darcy gave her beauty technician a $4.80 tip. The tip was 5% of the cost of the procedure. Write an equation to find b, the cost of the procedure. If all percents are expressed as decimals, the equation can be used to find b, the cost of the procedure.
Answers
Step-by-step explanation:
5% Tip = $4.80
1% = $4.80/ 5
Cost of procedure = $4.80/5 x 100% (Equation)
b = $4.80 x 20.0 or 20($4.80)
b =$96
2) find the equations of the straight lines given the slope m and one point. be prepared to show your work on paper to your teacher. m= -2 point (-1,-2) x1= _______ y1=_____ equation: _________________
Answers
The equation of the straight line is y = -2x - 4, the value of x₁ is -1 and the value of y₁ is -2.
To find the equation of a straight line given its slope and one point, we use the point-slope form of the equation:
−y − y₁ = m(x−x₁ )
where m is the slope of the line, and (x₁, y₁) is the given point.
In this case, m = -2 and the point is (-1, -2). So we have:
x₁ = -1
y₁ = -2
m = -2
Substituting these values into the point-slope form, we get:
y−(−2)=−2(x−(−1))
Simplifying and rearranging terms, we get the equation of the line:
y + 2 = -2x - 2
y = -2x - 4
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Imagine some DEQ: y'=f(x,y), which is not given in this exercise.
Use Euler integration to determine the next values of x and y, given the current values: x=2, y=8 and y'=9. The step size is delta_X= 5. 2 answers
Refer to the LT table. f(t)=6. Determine tNum,a,b and n. 4 answers
Answers
Using Euler integration, the next values of x and y can be determined as follows:
x_next = x_current + delta_X
y_next = y_current + delta_X * y'
What are the updated values of x and y using Euler integration?Euler integration is a numerical method used to approximate solutions to differential equations. It is based on the concept of dividing the interval into small steps and using the derivative at each step to calculate the next value. In this case, we are given the current values of x=2, y=8, and y'=9, with a step size of delta_X=5.
To determine the next values of x and y, we use the following formulas:
x_next = x_current + delta_X
y_next = y_current + delta_X * y'
Substituting the given values into the formulas, we have:
x_next = 2 + 5 = 7
y_next = 8 + 5 * 9 = 53
Therefore, the updated values of x and y using Euler integration are x=7 and y=53.
It's important to note that Euler integration provides an approximate solution and the accuracy depends on the chosen step size. Smaller step sizes generally lead to more accurate results. Other numerical methods, such as Runge-Kutta methods, may provide more accurate approximations.
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STAN LOONA FOR A BETTER LIFE OR ELSE U WILL BE SINGLE FOR THE REST OF UR LIFE
Answers
We as we see this question is quite simple
first we find the vocabulary which is in simple text slang and convert it formally to english...
Next we find that this question makes no sense so g'day
First look at the equipment
6.
A survey of 250 people eating out
found that 112 plan to see a movie after
their meal. What is the probability a person
eating out will see a movie after their meal?
Theoretical/Experimental
Answers
The probability of a person eating out and seeing a movie after their meal is approximately 0.448 or 44.8%.
To find the probability of a person eating out and seeing a movie after their meal, we can use the formula:
Probability = Number of favorable outcomes / Total number of possible outcomes
In this case, the number of favorable outcomes is 112 (as 112 people out of 250 plan to see a movie after their meal). The total number of possible outcomes is 250 (as there are 250 people eating out).
Therefore, the probability of a person eating out and seeing a movie after their meal is:
Probability = 112 / 250
Simplifying this fraction, we get:
Probability = 0.448
So the probability of a person eating out and seeing a movie after their meal is approximately 0.448 or 44.8%.
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Isaac received 125 for his birthday. He spent 65 on a new video game. How much money, x, how much does issac have
Answers
Answer: $60
Step-by-step explanation:
A coin is flipped eight times where each flip comes up either heads or tails. The outcome is the string of 8 heads/tails that is produced. How many possible outcomes
Answers
There are 256 possible outcomes for the string of 8 heads/tails that can be produced when flipping a coin eight times.
When a coin is flipped eight times, there are two possible outcomes for each individual flip: heads or tails.
Since each flip has two possibilities, the total number of possible outcomes for eight flips can be calculated by multiplying the number of possibilities for each flip together.
Therefore, the number of possible outcomes for eight coin flips is:
2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 2^8 = 256
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What is the area? square kilometers
Answers
Answer:
Step-by-step explanation:
The area of a trapezoid is the height times the average of its parallel bases.
A=h(b1+b2)/2, in this case
A=14(4.6+8.7)/2
A=7(4.6+8.7)
A=7(13.3)
A=93.1 km^2
Why doesn't -3^0 simplify to the same thing as 3^0?
Answers
Answer:
Step-by-step explanation:
-3^0 doesn't simplify to the same thing as 3^0 because the first 3 is negative and the second is positive.
hope this helped :))
Answer:
There is a negative
Step-by-step explanation:
Every positive number to the 0 power is 1
Every negative number to the 0 power is -1
many quantitative models of decision theory are based on comparing a single measure of effectiveness, generally some form of utility to the decision maker.a. true b. false
Answers
The statement many quantitative models of decision making are based on comparing a single measure of effectiveness, generally some form of utility to the decision maker is true. So, the correct optio is option a. true.
Many quantitative models of decision theory, such as Expected Utility Theory and also Multi-Attribute Utility Theory, involve comparing a single measure of effectiveness, typically some form of utility, to the decision maker. This allows for the evaluation and comparison of different options based on their expected outcomes and potential risks.
It helps the decision maker determine the best course of action.
Decision theory is a branch of probability. It is concerned with analytic philosophy. It deals with the decision making processes based on probabilities depending on the various factors and the numerical consequences of the outcome.
Therefore, the statement about the decision theory based on comparing a single measure of effectiveness is true.
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The sum of two numbers is 21 the second number is six times the first number.work out the two numbers
Answers
Answer: First number 3 Second 18
Step-by-step explanation:
? = 56 : 72 as a ratio
Pls also include explanation
Answers
Answer:
56:72
=76/52=1
=19/13=1
=13:19
Step-by-step explanation:
If you multiply both of the numbers or divide both of the numbers by the SAME number , the ratio is the same
Example 56:72 multiply by 2 = 112 : 144 <===this is the same ratio
56 :72 multiply by 3.5 = 196 : 252 same ratio
56:72 multiply by 1/4 = 14 : 18 same ratio
etc etc
A biker travels 10 miles in two hours, what is his speed?
Answers
Answer:
5 miles per hour
Step-by-step explanation:
Answer:
The answer is 5 MPH
Step-by-step explanation:
because
10 divided by 2 5
---- -----
2 divided by 2 1
5 divided by 1=5
5x2=10 its correct your answer is 5!
Have a great and hope this helped!
(1 point) a rectangular swimming pool is 8 ft deep, 20 ft wide and 20 ft long. if the pool is filled to 1 ft below the top, how much work is required to pump all the water into a drain at the top edge of the pool? (use 62.4 lb/ft2 for the weight density of water.)
Answers
This gives us a total of 1,583,616 ft-lbs of work required to pump the water out of the pool.
What is amount?Amount is a numerical value that refers to the total sum of money or other type of payment due. It is used to quantify the size of a transaction, the cost of goods or services, or any other type of financial transaction. Amounts can be expressed in a variety of different currencies, and they can be negative (owing) or positive (owed).
To calculate the amount of work required to pump all the water from the rectangular swimming pool into a drain at the top edge, we must first calculate the volume of the water in the pool. Volume is calculated by multiplying the length, width, and depth of the pool, which in this case is 20 ft x 20 ft x 8 ft = 3,200 cubic ft. Since the pool is filled to 1 ft below the top, the volume of water is 3,200 ft3 - 20 ft3 = 3,180 ft3.
Next, we must calculate the weight of the water, which is the volume multiplied by the weight density of water (62.4 lb/ft3). The weight of the water in the pool is 3,180 ft3 x 62.4 lb/ft3 = 197,952 lbs.
Finally, to calculate the amount of work required to pump the water from the pool into a drain at the top edge, we must multiply the weight of the water (197,952 lbs) by the height of the drain (8 ft). This gives us a total of 1,583,616 ft-lbs of work required to pump the water out of the pool.
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Simplify √-24 usingimaginary i
Answers
Given:
\(\sqrt{-24}\)Apply the laws of exponents:
\(=\sqrt{-1}\sqrt{24}\)Apply the properties of imaginary numbers:
\(i\sqrt{24}\)Rewrite in standard complex form:
\(2\sqrt{6}i\)Answer:
\(2\sqrt{6}\text{ i}\)