The concept of density explains how tightly packed together the matter in an object is
How to explain the concept of density?The density of a material is a measure of how tightly packed matter is together.
The concept of density compares the quantity of matter the material has to its volume. A material with much matter in a certain volume has a high density.
An object with high density is considered highly dense or heavy and an object with low density is considered less dense. For example, the air is about 830 times less dense than water.
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What is 1/2 equivalent to as a fraction?; Why are 1/2 and 2/4 called equivalent fractions?; What is 1/3 equivalent to as a fraction?; How do I find the equivalent fraction?
The equivalent fraction of 1/2 is 2/4 and equivalent fraction of 1/3 is 2/6.
Given that,
Why are the fractions 1/2 and 2/4 referred to as identical, and what fractional value does 1/2 equal? What is 1/3's equivalent in fractions
The fractions 2/4, 3/6, 4/8, etc. are identical to 1/2. Reduced fractions of equivalent fractions have the same value. Simply multiplying or dividing both the numerator and the denominator by the same number produces equivalent fractions.
By multiplying the numerator and denominator of each fraction by the same number, we can determine the equivalent fraction for each fraction. For instance, we must multiply 2/3 by 3/3 after determining the third equivalent fraction of 23. Consequently, 2/3 (3/3) = 6/9 is the fraction that equals 2/3.
As a result, the equivalent fractions of 1/2 and 1/3 are 2/4 and 2/6, respectively.
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Can anyone help me pls I would appreciate it
Answer:
t = b + n
Step-by-step explanation:
for the 2 lines to be parallel then their slopes must be equal
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (x₁, a + n ) and (x₂, y₂ ) = (x₂, t ) ← 2 points on line k
m = [tex]\frac{t-(a+n)}{x_{2}-x_{1} }[/tex] = [tex]\frac{t-a-n}{x_{2}-x_{1} }[/tex]
repeat with
(x₁, y₁ ) = (x₁, a ) and (x₂, y₂ ) = (x₂, b ) ← 2 points on line j
m = [tex]\frac{b-a}{x_{2}-x_{1} }[/tex]
equating the 2 slopes gives
[tex]\frac{t-a-n}{x_{2}-x_{1} }[/tex] = [tex]\frac{b-a}{x_{2}-x_{1} }[/tex]
since the denominators are the same on both sides, then equate the numerators
t - a - n = b - a ( add a to both sides )
t - n = b ( add n to both sides )
t = b + n
please I need help, only complete answers please, if you can do it in that photo the answers would help me a lot please
The z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.
What is Z-score?
A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
Z = (X - μ)/σ
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
As it is given that the standard deviation of the monthly utility bills is $8, while the mean is $70. Therefore, the z-score can be written as,
A.) X= 60
z= (60- 70 )/8 = -1.25
B.) X = 71
z = ( 71 -70)/8 = 0.125
C.) X = 92
z= (92 - 70)/8 = 2.25
Hence, the z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.
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in the transformation abc a'b'c', the preimage of b' is ____. type the answer in the space provided.; point v(-2, 4) is translated using the rule (x, y) โ (x, y โ 4). where is the image, vโ, located?; point w 5 6 is reflected across the line y x which of the following is the location of its image w; pre- image x 2 1 y 4,-3 z 3,2 image x 2 1 y 4,-3 z 3,2; isometry; transformations in math
In the transformation of triangle abc, the pre-image of b' is b.
It's a triangle denoted as abc. abc is changed so that the resulting image is a'b'c''. It should be noted that there are many other forms of transformations, including dilation, vertical shift, horizontal shift, rotation about a point, reflection on a line, etc.
Corresponding vertices will be matched in all transformations. In other words, a will change to a'', b to b', and c to c''. Preimage of b' would just be b itself due to the transformation's ability to maintain image similarity and convert vertices appropriately.
Note that the correct question is:
In the transformation ABC A'B'C', the preimage of B' is ____.
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If I earn 100% more than you, then you must earn 50% less than me
Its Kumon So It Is Very Easy.
Answer: It's kumon?
Step-by-step explanation:
Which of the following is a polygon answer? give reason
POLYGON
A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit.
TYPES OF POLYGON
Triangle- Has 3 sidesQuadrilateral- Has 4 sidesPentagon-Has 5 sidesHexagon- Has 6 sidesHeptagon-Has 7 sidesOctagon-Has 8 sidesNonagon-Has 9 sidesDecagon-Has 10 sides8Learn more about Polygons at :
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Resources that are available in limited quantities on the earth are called ___________
Resources that are available in limited quantities on the earth are called Exhaustible resources.
The resources which are present in limited amounts are referred to as exhaustible resources. These resources can be consumed and end someday and are also termed non-renewable resources.
Exhaustible natural resources are available in a limited quantity and cannot be replaced within a reasonable period of time and have the risk of being exhausted by human activities. Such Resources take millions of years to form.
Exhaustible resources are usually not environmentally friendly since they are improperly and inefficiently used and are generally very expensive.
Coal, petroleum, and Forests are examples of exhaustible natural resources.
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For which values of x does the expression square root of x+11 make sense?
Answer:
all values greater than or equal to -11
Step-by-step explanation:
For a square root to be a real number, the value under the square root must be positive. Therefore, all values of x must ensure that the value under the square root remains positive.
Answer:
Any real number x ≥ - 11-------------------------------------------
The square root is defined when the expression under the root is not negative.
It is shown as:
x + 11 ≥ 0 ⇒ x ≥ - 11Zachary bought 3 cartons of x eggs. He used 6 to make a cake. He then used the remaining eggs equally to make 2 pies. Draw a bar model to show how many eggs were used in each pie.
Answer:
Step-by-step explanation:
the chi-square test for goodness of fit tests the difference between categories that fall within , and the test for independence tests differences in categories that fall within .
The chi-square test for independence compares the two variables within a sample set to one another, instead of comparing the single observed variable into the theoretical population.
The chi-square takes a statistical look in order to compare the found consequences of the with that of the familiar outcomes. The main goal of this test is to take a statistical view in order to make a distinction between the observed records and the expected facts, is due to the risk present, or if it's miles because of courting the variables that you are studying.
A chi-square test is used to measure the degree of variation between the frequencies which are determined and the expected frequencies according to the hard and fast rules of variables and occasions. Chi-rectangular is used to measure the differences of the nominal variables.
The term, 'independence' refers to the individual's own freedom of doing things, without being affected by other's opinions. As and when, a small child grows up to an adult, he/she tends to make their own decisions and selections. This is one of the example of independence. Realizing the importance of independence is crucial as the people of the nation are its most important assets. The way in which the founders of India has reunited the country into a single state, the same, if followed in USA, this would relieve the country from the chains of caste, sex, religion and exploitation.
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Current Attempt in Progress For a process in control, we expect % of the points on a process control chart to fall within the UCL and the LCL e Textbook and Media 0.27 95 Save for Later Attempts: 0 of 3 used Subm 99.73 100
The correct answer is (B) 99.73%..
For a process in control, we expect 99.73% of the points on a process control chart to fall within the upper control limit (UCL) and the lower control limit (LCL).
A process control chart is a tool used in statistics and quality control to monitor and analyze a process over time. It consists of a line graph that plots the measured values of a process variable, such as the temperature or weight of a product, over time. The UCL and LCL are horizontal lines that are drawn on the graph at a predetermined distance above and below the average value of the process variable.
The expected percentage of points within the UCL and LCL is determined by the chosen level of statistical significance and the distribution of the process variable. In this case, the expected percentage of points within the UCL and LCL is 99.73%.
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Complete Question:
For process in control, we expect Pfo of the points on process control chart to fall within the UCL and the LCL:
A)0.27
B)99.73
C)100
In a traditional IRA account, a
$1000.00 investment is taxed at 12%.
In a Roth IRA account, the $1000.00
investment is taxed at 10%. Which
plan reduces the overall tax burden?
A. The Traditional will reduce the tax burden because it's applied at a
higher percentage.
B. Both tax burdens will come out the same since both tax
calculations start with a $1000.00 account.
C. The Roth IRA reduces the tax burden because its taxes are
calculated in a lower bracket.
D. The Traditional IRA reduces the tax burden because its taxes are
calculated in a lower bracket.
C. The Roth IRA reduces the tax burden because its taxes are calculated in a lower bracket.
In a traditional IRA, contributions may be tax-deductible in the year they are made, but withdrawals in retirement are taxed as ordinary income. This means that the $1000.00 investment in a traditional IRA would be taxed at the investor's ordinary income tax rate when it is withdrawn in retirement. If the investor's ordinary income tax rate is 12%, then the tax burden on the $1000.00 investment in a traditional IRA would be $120.00.
In a Roth IRA, contributions are not tax-deductible, but withdrawals in retirement are tax-free. This means that the $1000.00 investment in a Roth IRA would be taxed at the investor's ordinary income tax rate when it is made, but it would not be taxed when it is withdrawn in retirement. If the investor's ordinary income tax rate is 10%, then the tax burden on the $1000.00 investment in a Roth IRA would be $100.00.
Overall, the tax burden on the $1000.00 investment in a Roth IRA is lower than the tax burden on the same investment in a traditional IRA because the taxes on the Roth IRA are calculated in a lower bracket (10% vs 12%).
the customer asked the pro shop to string 10 new rackets at 58 psi suppose the two tailed p value forthe test described above is .09
There is sufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 58 PSI.
The customer determined the tension of each racket after receiving them and came up with the following summaries: 0.9 PSI of standard deviation, 58 as the sample mean.
When we choose alpha as 5% = 0.05, it means that we reject the null hypothesis whenever the p value from the hypothesis test is less than this. If not, we will accept the null hypothesis.
You can use a p value as low as 0.05 and still reject the null hypothesis H0.
On calculating the p value we get it as less than 0.05.
Therefore, we will accept the null hypothesis.
Hence , the true mean tension of the racket is 28 psi .
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Evaluate g(x) = 3 - 5/6x when X = 12.
Answer:
g(12) = -7
Step-by-step explanation:
g(x) = 3 - 5/6x
g(x) = 3 - 5x/6
g(12) = 3 - 5(12)/6 ==> plug in 12 for x
g(12) = 3 - 5*12/6
g(12) = 3 - 60/6 ==> simplify
g(12) = 3 - 10
g(12) = -7
Answer:
-7
Step-by-step explanation:
g(12) = 3 - [tex]\frac{5}{6}[/tex](12)
g(12) = 3 -10
g(x) = -7
prove that the composition of two isometries is an isometry and the inverse of an isometry is an isometry.
The composition of two isometries is an isometry.
Proof:
Let T1 and T2 be isometries. T1(A) = A' and T1(B) = B'. Therefore by isometry T1, AB = A'B'
T2(A) = A'' and T2(B) = B''. Therefore by isometry T2, AB = A''B''
T2 º T1 = T2(T1(A)) = T2(A') = A'''. T2 º T1 = T2(T1(A)) = T2(B') = B'''. Therefore under composition AB = A'''B''' and distance is preserved.
The inverse of an isometry is an isometry.
Proof:
Given T and isometry. This means T(A) = A' and T(B) = B' with AB = A'B'
The inverse of T, T⁻¹maps A' to A and B' to B, so A'B' maps to AB.
But A'B' = AB and so the inverse is an isometry
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>) Solve:
1) 7 millions
thousands
hundred
Answer:
70
Step-by-step explanation:
1 million = 10 hundred thousands because 100,000 x 10 = 1,000,000
What is 150% of 32?
Answer: 48
Step-by-step explanation:
[tex]\displaystyle\\\frac{32(150\%)}{100\%} =\\\\\frac{4800}{100}= \\\\48[/tex]
Answer:
48
Step-by-step explanation:
150% = 150/100 = 1.5
Then:
32 * 1.5 = 48
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. The 95% confidence interval for p is 0.59 ± 0.07. Interpret this interval.
Select one:
a. 95% of the students receive between 52% and 66% of their tuition in financial aid.
b. We are 95% confident that 59% of the students are on some sort of financial aid.
c. We are 95% confident that between 52% and 66% of the sampled students receive some sort of financial aid.
d. We are 95% confident that the true proportion of all students receiving financial aid is between .52 and .66.
Confidence interval for 'p' 0.59 ± 0.07 interprets the we are 95% confident that the true proportion of all students receiving financial aid is between .52 and .66.
A confidence interval is a type of interval calculation, obtained from observed data, that contains the true value of an unknown parameter.
It is associated with a confidence level that quantifies the confidence level at which the interval estimates the deterministic parameter.Also it is a term that defines a range of values with the probability to contain a population value that has an actual degree of confidence.This is represented in a situation where population means falls in between upper and lower intervals.Hence, in this case, the correct interpretation is option D: We are 95% confident that the true proportion of all students receiving financial aid is between .52 and .66
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A concentric square and circle intersect at 8 point. In clockwise order, call these points A1,A2,3......A8. The area of A1, A3,A5, A7is 5/8. find A2, A6
A concentric square and circle intersect at 8 points. the area of A2, A6 is (3/4)s²
How to determine the area of A2, A6?Generally, let's call the side length of the square s and the radius of the circle r.
We can set up the following equation:
(s/2)² + (r/2)² = (5/8) * s²
We can rearrange this equation to solve for r:
(r/2)² = (5/8)s² - (s/2)²
Evaluate the exponents
This gives
r²/4 = 5/8s² - s²/4
Multiply through by 4
So, we have
r² = 5/2s² - s²
Evaluate the like terms
This gives
r² = 3/2s²
Take the square roots of both sides
So, we have
r = s√(3/2)
Since A1, A3, A5, and A7 are the vertices of the square, the area of this region is (s/2)²,
When expanded, this gives
Area = 1/4s².
The area of A2, A6 can be found by subtracting the area of A1, A3, A5, and A7 from the area of the entire square.
This gives us:
A2, A6 = s² - (1/4)s²
Evaluate
A2, A6 = (3/4)s²
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b. How much force is needed to push it up the incline (neglect friction)?
answer to the question is 250 newtons
the answer is actually 200 newtons
at a certain university, students who live in the dormitories eat at a common dining hall. recently, some students have been complaining about the quality of the food served there. the dining hall manager decided to do a survey to estimate the proportion of students living in the dormitories who think that the quality of the food should be improved. one evening, the manager asked the first 100 students entering the dining hall to answer the following question. Many students believe that the food served in the dining hall needs improvement Do you think that the quality of food served here needs improvement; even though that would increase the cost of the meal plan? Yes No No opinion a) What is the population of interest? What is the population parameter of interest (that is, what number are you trying to estimate)? b) What sampling plan did the manager use to collect his data? c) In this setting; explain how bias may have been introduced based on the way this sample was selected. That is, explain how those chosen for the sample may be different from those who were not chosen with respect to their answers to the question being asked in the survey: d) How might the sample be selected differently to avoid the bias discussed in part c)? Use one of the methods from the Random Rectangle Activity: In this setting, explain how bias may have been introduced based on the way the question was worded_ That is, explain how the wording of the question might lead toward a specific answer 0 Give an alternative wording to the research question that will avoid the bias discussed in part e)?
To avoid bias - increase the sample size and take reviews randomly
The dining hall manager decided to do a survey to estimate the proportion of students living in the dormitories who think that the quality of the food should be improved. one evening, the manager asked the first 100 students entering the dining hall
There is a bias if taken data contain only the first 100 students, primary reasons students come in a friend circle to the dining hall, possibly that whole friend circle did/ didn't like food. Chances are the first hundred students like the food and the remaining students don't like, vice - versa.
To avoid bias - increase the sample size and take reviews randomly
Therefore, the manager should increase the sample size and take reviews randomly to avoid sampling bias.
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The change in temperature after y minutes for a chemical in a lab can be represented by the expression −4(y − 3). Which other expression can be used to represent the change?
Other expression can be used to represent the change in temperature after y minutes is -4y + 12.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
The distributive property is a( b + c) = ab + ac.
Given expression that represents the change in temperature after y minutes for a chemical in a lab can be represented by the expression −4(y − 3).
Given expression is
-4(y - 3)
Applying distributive property:
= -4 × y - (-4)×3
= -4y + 12
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the graph below shows two different types of plans published by a cell phone company. ryan claims that the cost of plan a and plan b differ a lot. which statement best explains why ryan was misled by the graph? a.) the scale of intervals on the horizontal axis is inconsistent. b.) the graph of plan a shows a gradual increase in price. c.) the graph of plan b shows a rapid increase in price. d.) the scale of intervals on the vertical axis is inconsistent.
Answer:
d.) the scale of intervals on the vertical axis is inconsistent.
Step-by-step explanation:
On January 1, a nasty species of algae is mistakenly introduced into Lake Skinner. It grows in such a way that it doubles every day. If it continues to grow like this, the lake will be totally covered and the fish in the lake will suffocate. At the rate it is growing, this will happen on January 30.
1). When will Lake Skinner be covered halfway?
2). On January 26, you convince your friend that the lake will be completely covered soon. Your friend laughs. Why is your friend skeptical?
3). One January 29 a cleanup crew arrives and is able to remove most of the algae. When they are done on February 1, only 1 % of the surface is covered. How well does this solve the problem in Lake Skinner?
Answer: If the algae in Lake Skinner doubles every day, then on the 15th day (halfway between the 1st and 30th) the lake will be covered halfway.
If the algae doubles every day, then on January 26 it would have only doubled six times, meaning it would only cover 1/64 of the lake's surface. This is why your friend may be skeptical that the lake will be completely covered soon.
The cleanup crew's efforts on January 29 were able to remove most of the algae, but by February 1 only 1% of the lake's surface was still covered. This means that while the problem has been greatly reduced, it is not completely solved and there may still be some risks to the fish in the lake. Continued monitoring and efforts to prevent future algae blooms may be necessary to fully protect Lake Skinner.
Step-by-step explanation:
Molly bought 4 band shirts and 3 pair of pants for 159.99 Christian bought 3 band shirts and 2 pair of pants for 113.00. How much is 5 band shirts and 5 pair of pants
Total $234.95 is the cost of 5 band shirts and 5 pair of pants.
What is the system of equation?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, Molly bought 4 band shirts and 3 pair of pants for $159.99.
And Christian bought 3 band shirts and 2 pair of pants for $113.00.
Let x be the band shirts and y be the pair of pants.
So, according to the question;
4x + 3y = 159.99 equation 1
3x + 2y = 113 equation 2
Now, we have the system of the equations.
In order to solve the system of equations:
Multiply 4 to the equation 2 and multiply 3 to the equation 2.
12x + 9y = 479.97
12x + 8y = 452
Subtracting the transformed equation 2 to transformed equation 1.
y = 27.97
Then 12x = 479.97 - 251.73
12x = 228.24
x = 228.24 / 12
x = 19.02.
To find the amount of 5 band shirts and 5 pair of pants:
5x + 5y
= 5 (19.02) + 5(27.97)
= 95.1 + 139.85
= 234.95
Therefore, 5 band shirts and 5 pair of pants cost $234.95.
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Macy's aunt makes raspberry jam using 6 tablespoons of sugar and 8 tablespoons of raspberries. What is the ratio of tablespoons of raspberries to tablespoons of sugar?
8 to 14
8 to 6
6 to 14
6 to 8
The ratio of tablespoons of raspberries to tablespoons of sugar should be considered as the 8 to 6.
What is ratio?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
Calculation of the ratio:
Since Macy's aunt makes raspberry jam using 6 tablespoons of sugar and 8 tablespoons of raspberries.
So here the ration be like
= 8 raspberries tablespoons to 6 tablespoons of sugar
= 8 to 6
hence, the second option is correct.
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Among all smooth, simple closed curves in the plane, oriented counterclockwise, find one along which the work done by the following vector is greatest. 4 4 Hint: Find the region where (curl F).k>0. What is the curve along which the work is greatest?
Work done by the vector is 11π/16.
We know that,
the given closed curve in the plane is,
F(x,y) = [tex](\frac{x^{2}y }{4} + \frac{y^{3} }{3} )[/tex] i+xj
Suppose C be a simple smooth closed curve in the plane. It is also oriented counterclockwise.
Let S be the interior of C.
Let P = [tex]\frac{x^{2}y }{4} +\frac{y^{3} }{3}[/tex] and Q = x
so the partial differentiation is,
[tex]\frac{dP}{dy} = \frac{x^{2} }{4} + y^{2}[/tex] and [tex]\frac{dQ}{dx}[/tex] = 1
By the Green's theorem work done by F is given as,
W = ∫ F dr
W = ∫∫ ( [tex]\frac{dQ}{dx} - \frac{dP}{dy}[/tex] )dxdy
W = ∫∫ [tex](1 - \frac{x^{2} }{y} -y^{2} )dxdy[/tex]
Let C = x² + y² = 1
and x = rcosθ, y = rsinθ ;
0 ≤ r ≤ 1; 0 ≤ θ ≤ 2π
Therefore
W = ∫∫ (1 - r²cos²θ/4 - r²sin²θ) [tex]|\frac{d(x,y)}{dr,0} |[/tex] dθdr
and d(x,y)/d(r,θ) = [cosθ -rsinθ; sinθ rcosθ] = r
Thus
W = ∫∫ (1 - r²cos²θ/4 - r²sin²θ)rdθdr
after solving we get,
W = 11π/16.
Hence the work done along with the vector is 11π/16.
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Which of the following could represent the cost of 7 t-shirts and a $6 tax?A 7n + 6
B 7n − 6
C n + 6(7)
D 7(6) + n
The expression that could represent the cost of 7 t-shirts and a $6 tax is (a) 7n + 6
How to determine the expression?From the question, we have the following parameters that can be used in our computation:
Number of shirts = 7
Tax = $6
Represent the cost of each shirt with n
So, we have the following equation
Total cost = Number of shirts * Cost of each shirt + Tax
Substitute the known values in the above equation, so, we have the following representation
Total cost = 7 * n + 6
Evaluate
Total cost = 7n + 6
Hence, the expression is (a) 7n + 6
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You planted 60 seeds seeds.80% actually grow. how many seeds grew? To word it another way, what is the amount of seeds that grew if 80% of 60% seeds grew?
Answer:
48
Step-by-step explanation:
0.8 * 60 = 48
