Paul completed 65% of his science fair project. Sam completed
1724 of his science fair project. Who completed more of their science fair project?
Sam completed more of his science fair project than Paul.
Who completed more of their science fair project?To determine who completed more of their science fair project, we can compare the completion percentages of Paul and Sam.
Paul completed 65% of his science fair project, which can be expressed as 0.65 or 65/100.
Sam completed 17/24 of his science fair project, which can also be expressed as a decimal by dividing 17 by 24, which is approximately equal to 0.7083 or 70.83%.
Comparing the two completion percentages, we can see that Sam completed a higher percentage (70.83%) of his science fair project compared to Paul (65%). Therefore, Sam completed more of his science fair project than Paul.
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Warm Up (4/13) 1 of 21 of 2 Items Question POSSIBLE POINTS: 1 Responses A A B B C C D D Skip to navigation
Answer:
Since line segment PQ is the result of reflecting line segment AB across the x-axis, we know that the y-coordinates of corresponding points on AB and PQ are the same but have opposite signs.
So if P has coordinates (2,-2) on PQ, then its corresponding point on AB must have coordinates (2, 2). Similarly, if Q has coordinates (8,-2) on PQ, then its corresponding point on AB must have coordinates (8, 2).
Therefore, the length of line segment AB is the distance between points (2, 2) and (8, 2) on the coordinate plane, which is:
AB = |8 - 2| = 6
So the answer is B) 6
Find the exact value of x
Answer:9
Step-by-step explanation:
When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with
mass 4 kg, the acceleration of the object is 13 m/s². If the same force acts upon another object whose mass is 26 kg, what is this object's acceleration?
According to the given information, we know that:
Force (F) is constant
Mass (m) of the first object is 4 kg, and its acceleration (a) is 13 m/s².
Using Newton's second law of motion, we know that:
F = m*a
Solving for the force (F) acting on the first object:
F = m*a = 4 kg * 13 m/s² = 52 N
What is this object's acceleration?Now, if the same force acts upon an object with a mass of 26 kg, we can use the same equation to find its acceleration (a):
F = m*a
a = F/m
a = 52 N / 26 kg = 2 m/s²
Therefore, the acceleration of the second object is 2 m/s².
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Find the perimeter of the figure below.
Figure not drawn to scale
According to the given information, the perimeter of the given right-angle triangle is 30ft.
What is Pythagoras' Theorem?Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
According to the given information:We can use the Pythagorean theorem to find the length of the missing side of the right triangle, BC:
[tex]BC^2 = AB^2 - AC^2\\BC^2 = 13^2 - 12^2\\BC^2 = 169 - 144\\BC^2 = 25[/tex]
BC = 5
Now that we know all three sides of the triangle, we can find the perimeter by adding them together:
Perimeter = AB + AC + BC
Perimeter = 13 + 12 + 5
Perimeter = 30
Therefore, according to the given information, the perimeter of the given right-angle triangle is 30ft.
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Solve:
-10(-3p+4)
It looks easy but it's confusing me!
Answer:
Step-by-step explanation:
1. Distribute the 10: 30p + 40
If you are solving for p, then subtract 40: 30p = -40
Then divide 30: p = -40/30, simplified to p = -4/3
Answer:
30p -40
Step-by-step explanation:
You want to simplify the expression -10(-3p +4).
Distributive propertyThe distributive property tells you the product is ...
-10(-3p +4)
= (-10)(-3p) + (-10)(4)
= 30p +(-40)
= 30p -40
__
Additional comment
It is easy to get confused by minus signs. For any given numerical product the sign of the result will be negative if (and only if) the number of negative factors is odd.
Here, the first product is (-10)(-3p), which has an even number of minus signs. The result will be the same as with no minus signs:
(-10)(-3p) = (10)(3p) = 30p
On the other hand, the product (-10)(4) has an odd number of minus signs. That result will be negative:
(-10)(4) = -40
For this problem, you could start by distributing the minus sign, changing the sign of each term inside the parentheses:
-10(-3p +4) = 10(3p -4)
Doing this can simplify the mental load of figuring the signs of the product terms.
A random sample of 50 people from a town with a
population of 14,878 were asked to name their
favorite flavor of ice cream. If 7 people in the sample
named chocolate as their favorite ice-cream flavor,
about how many people in the town would be
expected to name chocolate?
A)
350
B) 2,100
C) 7,500
D) 10,500
The closest answer among the given options is B) 2,100.
To estimate the number of people in the town who would name chocolate as their favorite ice-cream flavor, we can use proportions. We know that 7 out of 50 people in the sample named chocolate as their favorite. To find the proportion of chocolate lovers in the sample, we can divide the number of chocolate lovers by the total number of people surveyed:
7 chocolate lovers / 50 people surveyed = 0.14
Now, we can apply this proportion to the total population of the town to estimate the number of chocolate lovers:
0.14 * 14,878 (total population) ≈ 2,082.92
Since we can't have a fraction of a person, we can round this number to the nearest whole number:
Approximately 2,083 people in the town would be expected to name chocolate as their favorite ice-cream flavor.
The closest answer among the given options is B) 2,100.
A 40% tip on a 36.53 meal
Answer:
$14.612
Step-by-step explanation:
40% = 0.4
Find a 40% tip on a 36.53 meal.
We Take
36.53 x 0.4 = $14.612
So, the tip is $14.612
What is
lim sin(x) in the graph shown?
Therefore, we can say: limit sin(x) as x approaches pi/2 does not exist lim sin(x) as x approaches 0 = 0.
What is the sinx x wiki's maximum size?Although the function (sin x)/x is not defined at zero, it approaches 1 arbitrarily close as x approaches zero. In other words, when x gets closer to zero, the limit of (sin x)/x = 1.
Why does Sinx have no limit?We can put g(x) equal to -1/x and h(x) equal to 1/x because sin(x) is always between -1 and 1. As x approaches either positive or negative infinity, we know that the limit of both -1/x and 1/x is zero, and as a result, the limit of sin(x)/x is also zero.
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from the given functions that are mapped from z to z, identify the onto functions. (check all that apply.) a. f(n) = n – 1b. f(n) = n² + 1c. f(n) = n³d. f(n) = [n/2]
From the defined functions in problem, the functions that are mapped from z to z, and onto functions are f(n) = n - 1, [tex] f( n) = [\frac{n}{2}] [/tex]. So, option(a) and option(d) are right choice.
Onto functions work on the codomain. Here we want to check if it contains elements not associated with any element in the domain. Definition: A function f: A→B is onto if, for every element b∈B, there exists an element a∈A such that f(a)=b. An onto function is also called surjective. We have a number of functions that are mapped from Z to Z and we will identify which is onto function or not. Let's consider each one by one
a) f : Z→Z such that f( n) = n - 1
For all m∈Z( Co-domain) and consider (m - 1)∈Z( domain) s.t f( m) = m - 1 = m -1 i.,e., f(a) = b. So, it is an onto function.
b) f : Z→Z such that f( n) = n² + 1
For all m∈Z( Co-domain) and consider (m - 1)∈Z( domain) s.t f( m) = m² + 1 i.,e., two values of m exist and f(a) ≠ b.So, it is not onto function.
c) f : Z→Z such that f( n) = n³ ( cubic function), If f(n) = 2, where n( domain) and 2 (co-domain)
=> n³ = 2
=> n = 2⅓
So, it is not onto function.
d) f : Z→Z such that,[tex]f( n) = [\frac{n}{2}] [/tex]
For all m∈Z( Co-domain) and consider 2m∈Z( domain) s.t f( 2m) = [tex]f(2m) = [\frac{2m}{2}] [/tex]
= m
So, for every m there exits 2m such that, f(2m) = m. Hence, the onto functions are f( n) = n - 1 and [tex]f( n) = [\frac{n}{2}] [/tex].
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Find the volume of the cone. Use 3.14 for pi. Round your answer to the nearest tenths
place.
The volume of the cone is approximately 37.7 cubic units
What is volume?
A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.
To find the volume of a cone, we use the formula:
V = (1/3) * π * r² * h
where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.
Plugging in the given values, we get:
V = (1/3) * 3.14 * 3² * 4 ≈ 37.7
Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).
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Which of the following equations is of a parabola with a vertex at (1, -1)?
The equation of a parabola with a vertex at (-1, -1) is y = (x +1)²- 1.
what is the mode of the data represented in this line plot?
Answer:6
Step-by-step explanation:
Maya weighed 15 packages. Their mean weight was 5 pounds. What was the total weight of the 15 packages?
Answer:
75lbs
Step-by-step explanation:
if the mean of the packages was 15 then all the items averaged to 5 pounds each meaning they had a total of 15*5 or 75lbs
what is the the domain and rang for all the inverse hyperbolic functions?
Answer:
Properties of Hyperbolic Functions
This function's domain is (−∞,∞) and the range is (−1,1) .
Step-by-step explanation:
Hope this helps! =D
All relationships have equal weight; none is stronger than any other. true or false?
False. While all relationships should be valued and respected, it's unrealistic to say that they all have equal weight. Some relationships may be closer and more intimate than others, or may require more time and energy to maintain.
Additionally, some relationships may have greater consequences or impact on our lives than others. It's important to prioritize and nurture our relationships based on their individual significance and value to us.
In the context of relationships, the term "weight" refers to the importance or influence of a particular relationship. Not all relationships have equal weight because the significance of each relationship varies based on factors such as trust, communication, shared experiences, and emotional connections.
Some relationships are naturally stronger and more influential than others due to these factors, making them more valuable and impactful in a person's life. In contrast, weaker relationships may not have the same level of trust, connection, or influence, making them less important overall. It is essential to recognize and nurture the stronger relationships in one's life to maintain a healthy support system and overall well-being.
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12 points
Jakayla sells cakes for special occasions. She charges her customers a
one-time design fee plus a rate for each serving the cake yields. The
table shows the cost of a cake from Sheila based on the number of
servings. Based on the table, what rate does Sheila charge customers for
each serving?
SERVINGS
100
TOTAL COST
$280
$405
150
200
$530
250
$655
A. $2. 80
O B. $2. 50
O C. $2. 70
O D. $3. 00
The rate at which Sheila charges customers for each serving = $2.5 per serving.
Here the table that shows the cost of a cake from Sheila based on the number of servings is:
SERVINGS TOTAL COST
100 $280
150 $405
200 $530
250 $655
We need to find the rate at which Sheila charge customers for each serving.
Consider points (x₁, y₁) = (100, 280) and (x₂, y₂) = (200, 530)
where x is the number of servings and y coordinate represents the cost of servings.
The rate at which Sheila charges customers for each serving would be,
r = (y₂ - y₁) / (x₂ - x₁)
r = (530 - 280) / (200 - 100)
r = 250 / 100
r = 2.5
Therefore, the required rate is $2.5 per serving.
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I need help with this problem I am having trouble understanding
The distance that the fish was able to travel in all was 23. 9 meters .
How to find the distance traveled ?The distance from Harry to the fish' s hole can be found by the Pythagorean theorem:
a ² + b ² = c ²
7 ² + 7 ² = c ²
49 + 49 = c²
98 = c²
c = 9. 9
The total distance that the fish traveled can then be found by summing the distance it already traveled with the distance to Harry's:
= 14 + 9. 9
= 23. 9 meters
The fish traveled approximately 23.9 meters in all, rounded to the nearest tenth.
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the manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective.which sampling methods are likely to be biased?select each correct answer.responseson 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined.on 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined.the manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. results from the first 5 customers to respond are tallied.the manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. results from the first 5 customers to respond are tallied.the manager selects 20 boards at random each day for 5 days and examines them.the manager selects 20 boards at random each day for 5 days and examines them.every 40th board produced over the course of 1 week is selected and examined.
Sampling methods that may be biased for finding the percentage of defective boards in a sawmill production are: selecting 30 consecutive boards, emailing customers and relying on their responses, and selecting every 40th board produced. So, the correct answer is A, B and D.
The biased sampling methods are Examining 30 consecutive boards one hour after production begins may be biased because it only captures a snapshot of the production at that specific time, and the boards selected may not be representative of the entire batch produced during the day.
Emailing customers to ask about defective boards may be biased because the response rate may vary among customers, and customers who experienced a higher or lower number of defective boards may be more likely to respond.
Selecting 20 boards at random each day for 5 days and examining them is less likely to be biased, as long as the selection process is truly random and representative of the entire production.
Selecting every 40th board produced over the course of one week is also less likely to be biased if the production process is consistent and there are no patterns or variations in the production that would affect the quality of every 40th board. So, the correct answer for biased is A, B and D.
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The cost for carpet installation is as follows: carpet-$8 per square foot carpet padding-
$0.30 per square foot;labor-$0.75 per square foot: hauling away old carpet-$1.30 per
square foot. How much will it cost for Vince to get new carpet installed? (Hint: Round your
previous answer up to the nearest foot so there is enough carpet to cover the room.)
it will cost Vince $5,175 to get new carpet installed, assuming the area to be covered is 500 square feet.
How much will it cost for Vince to get new carpet installed?To calculate the cost for Vince to get new carpet installed, we need to add up the cost of the carpet, padding, labor, and hauling away the old carpet.
Let's assume that the area to be covered is 500 square feet. Then, the cost for each component can be calculated as follows:
Cost of carpet = $8/sq ft * 500 sq ft = $4,000
Cost of carpet padding = $0.30/sq ft * 500 sq ft = $150
Cost of labor = $0.75/sq ft * 500 sq ft = $375
Cost of hauling away old carpet = $1.30/sq ft * 500 sq ft = $650
Total cost = Cost of carpet + Cost of carpet padding + Cost of labor + Cost of hauling away old carpet
= $4,000 + $150 + $375 + $650
= $5,175.
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Sorry if you can’t see very well, but hurry! I have 10 minutes!
The total cost of metal that made up the cylinder tank is 4220.16 dollars.
How to find the surface area of a cylinder?The cylinder has a diameter of 8 ft and a height of 2 ft. The cylinder tank is made up of metals. The metal cost 28 dollars for each foot .
Therefore, the cost of the whole metal for the cylinder tank can be found as follows:
surface area of a cylinder = 2πr(r + h)
where
r = radiush = height of the cylinderTherefore,
r = 8 / 2 = 4 ft
h = 2 ft
surface area of a cylinder = 2 × 3.14 × 4(4 + 2)
surface area of a cylinder = 25.12(6)
surface area of a cylinder = 150.72 ft²
Therefore,
1 ft² = 28 dollars
150.72 ft² = ?
cross multiply
cost of the whole metal of the cylinder = 150.76 × 28
cost of the whole metal of the cylinder = 4220.16 dollars
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Find the slope of the line through the pair of points. D(3, 5), J(8, 7)
20 POINTS
Answer:
2/5
Step-by-step explanation:
slope= y2-y1 / x2-x1
in this case:
y2=7 y1=5 x2= 8 x1=3
plug that into the formula above to get the answer
slope= 2/5 or 0.4
Find the value of x. If a segment looks like a tangent, it is a tangent.
The value of x in the circle is 19.5 .
What is secant line of circle?
A secant is a straight line that intersects a circle at least twice in different places. We can draw an endless number of secants on a circle since a circle has an infinite number of points around its perimeter.
Here the given circle using formula for secant line ,
(A+B).B = (C+D).D
Here A = x , B = 8 , C= 12 and D=10. Then,
=> (x+8).8= (12+10).10
=> 8x+64 = 22*10
=> 8x+64 = 220
=> 8x = 220-64 = 156
=> x = 156/8 = 19.5
Hence the value of x in circle is 19.5.
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calculate the probability of obtaining a sample result of 168 out of 200 or less if the company's claim is true. (use a table or technology. round your answer to four decimal places.)
The cumulative probability of obtaining a sample result will be approximately 0.0001
We have to apply Formula of Binomial Distribution:
P(X ≤ 168) = ΣP(X = i) for i = 0, 1, 2, .., 168, here in a sample of size n, P(X = i) is the probability of getting exactly i success
We assume that company's claim is true, 0.8 is the probability of success for each trial
P(X = i) = (200 choose i)×[tex]0.8^{i}[/tex] ×[tex]0.2^{200- i}[/tex]
By using this, we can easily find that cumulative probability is 0.0001
So, the probability is very low, this means that company's claim of an 80% success rate can be incorrect
So, further analysis may be needed to draw some conclusions and results
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Surface are. Help!!!!!!!!
The surface areas of the prisms are listed below:
Case 1: 94 in²
Case 2: 72 cm²
Case 3: 40.5 m²
Case 4: 39.1 mm²
Case 5: 130 ft²
Case 6: 136 m²
How to find the surface area of a prism
In this problem we find six cases of prisms, whose surface areas have to be found. Surface area is the sum of the areas of all faces in the prism. Face have either a rectangular or a triangular form, whose area formulas are:
Rectangle
A = b · h
Triangle
A = 0.5 · b ·h
Where:
A - Areab - Widthh - HeightNow we proceed to determine the surface areas:
Case 1
A = 2 · (4 in) · (5 in) + 2 · (3 in) · (4 in) + 2 · (5 in) · (3 in)
A = 40 in² + 24 in² + 30 in²
A = 94 in²
Case 2
A = 2 · 0.5 · (3 cm) · (4 cm) + (5 cm) · (4 cm) + (5 cm) · (3 cm) + (5 cm)²
A = 12 cm² + 20 cm² + 15 cm² + 25 cm²
A = 72 cm²
Case 3
A = 2 · (3 m) · (7 m) + 2 · (6 m) · (7 m) + 2 · (6 m) · (3 m)
A = 10.5 m² + 21 m² + 9 m²
A = 40.5 m²
Case 4
A = 2 · 0.5 · (4 mm)² + 2 · (4 mm) · (3 mm) + (5.7 mm) · (3 mm)
A = 16 mm² + 6 mm² + 17.1 mm²
A = 39.1 mm²
Case 5
A = 2 · (10 ft) · (5 ft) + 2 · (5 ft) · (1 ft) + 2 · (10 ft) · (1 ft)
A = 100 ft² + 10 ft² + 20 ft²
A = 130 ft²
Case 6
A = 2 · 0.5 · (6 m) · (4 m) + 2 · (7 m) · (5 m) + (7 m) · (6 m)
A = 24 m² + 70 m² + 42 m²
A = 136 m²
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Ryan rented a truck for one day. There was a base fee of $16.99 , and there was an additional charge of 76 cents for each mile driven. Ryan had to pay $175.83 when he returned the truck. For how many miles did he drive the truck?
Answer:
153.47 Miles
Step-by-step explanation:
Starting with the total return fee you subtract the base fee from it
Then Divide the that total by .76
And there you go
Thanks for the Submission
PLEASE HELP AND SHOW WORK! EXPLAIN HOW YOU GOT THE ANSWER I WILL MARK YOU BRAINLIEST!!!
The height of the cylinder, given the volume and the diameter of the base, would be 2, 592.46 feet
How to find the height of the cylinder ?The given diameter of the base is 10 inches, so we need to find the radius first. The radius is half the diameter:
Radius (r) = Diameter / 2 = 10 inches / 2 = 5 inches
We also need to convert the radius from inches to feet since the volume is given in cubic feet:
5 inches = 5/12 feet = 0.4167 feet
Volume of a cylinder:
Volume (V) = πr²h
450π = π x (0.4167)^2 x h
450 = (0.4167)^2 x h
h = 450 / (0.4167)^2 = 2, 592.46 feet
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You deposit $200 in an account that earns simple interest at an annual rate of 5.2%. How much money is in the account after 5 years?
The money in the account will be $252.
For simple interest, use the formula:
I = Prt
where I stands for interest earned, P for principle (amount paid in the beginning), r for yearly interest rate (in decimal form), and t for the time in years.
P equals $200, r equals 0.052, and t equals 5. With these values entered into the formula, we obtain:
I = Prt = ($200)(0.052)(5) = $52
The account will thus have $52 in interest after 5 years. After five years, we add the interest to the principal to determine the account's total balance:
Total = $200 + $52 = $252
Therefore, after five years, the account will have $252.
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A manufacturer of hard safety hats for construction workers is concerned about the mean and the variation of the forces helmets transmit to wearers when subjected to a standard external force. The manufacturer desires the mean force transmitted by helmets to be 800 pounds (or less), well under the 1000-pound legal limit, and the standard deviation to be less than 40. A random sample of 31 helmets was tested and the sample mean and variance were found to be 825 pounds and 2350 pounds2, respectively. The manufacturer wants to know if the data provides sufficient evidence to indicate that the standard deviation is significantly less than 40.
Step 1 of 5: Calculate the test statistic for this problem. Round your answer to two decimal places.
Step 2 of 5: Determine the p-value for a lower one-sided alternative hypothesis (left-tail test). The alternative hypothesis for this problem is H1: Ï2 < 1600 lbs2.
Step 3 of 5: What is the rejection region at the 10% level of significance for the test on the variance for a left-tailed alternative hypothesis? The alternative hypothesis for this problem is H1: Ï2 < 1600 lbs2.
Step 4 of 5: State your conclusion using a significance level of 0.05. The alternative hypothesis for this problem is H1: Ï2 < 1600 lbs2.
Step 5 of 5: Calculate a 90% confidence interval for the variance of force on the helmets. Round your answers to four decimal places.
Step 1: The test statistic is 56.56.
Step 2: Using a chi-square distribution table with 30 degrees of freedom (n - 1), we find that the p-value is less than 0.0001.
Step 3: The rejection region for a left-tailed test with 30 degrees of freedom at the 10% level of significance is any test statistic less than 18.307.
Step 4: The test statistic of 56.56 is greater than the critical value of 18.307.
Step 5: The 90% confidence interval for the variance of force on the helmets is [1615.46, 4123.82]
What is Variance?In statistics, variance is a measure of the spread or dispersion of a set of data points. It is calculated as the average of the squared differences from the mean.
Step 1: To test whether the standard deviation is significantly less than 40, we can use a chi-square test with the null hypothesis H0: [tex]σ^{2}[/tex] ≥ 1600 lbs² and the alternative hypothesis H1: σ² < 1600 lb[tex]s^{2}[/tex]. The test statistic is:
chi-square = (n - 1) *[tex]s^{2}[/tex] / [tex]σ^{2}[/tex]
where n is the sample size, [tex]s^{2}[/tex] is the sample variance, and [tex]σ^{2}[/tex] is the population variance under the null hypothesis.
Substituting the given values, we have:
chi-square = (31 - 1) * 2350 / 1600 = 56.56
Rounding to two decimal places, the test statistic is 56.56.
Step 2: To determine the p-value for a left-tailed test, we need to find the area under the chi-square distribution to the left of the test statistic. Using a chi-square distribution table with 30 degrees of freedom (n - 1), we find that the p-value is less than 0.0001.
Step 3: The rejection region for a left-tailed test with 30 degrees of freedom at the 10% level of significance is any test statistic less than 18.307.
Step 4: Since the test statistic of 56.56 is greater than the critical value of 18.307, we reject the null hypothesis and conclude that there is sufficient evidence to indicate that the standard deviation is significantly less than 40 at the 5% level of significance.
Step 5: To calculate a 90% confidence interval for the variance of force on the helmets, we can use the formula:
[(n - 1) * [tex]s^{2}[/tex]/ chi-square upper, (n - 1) * [tex]s^{2}[/tex] / chi-square lower]
where chi-square upper and chi-square lower are the upper and lower critical values, respectively, from the chi-square distribution table for 30 degrees of freedom at the 5% level of significance. Substituting the given values, we have:
chi-square upper = 45.722
chi-square lower = 18.307
[(31 - 1) * 2350 / 45.722, (31 - 1) * 2350 / 18.307] = [1615.46, 4123.82]
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Austin collected 30 9/10 kilograms of grass for recycling in exactly 2/3 of the class he collectible was the total amount in kilograms of blue grAss
Answer: Let's call the total amount of grass that Austin collected "G" in kilograms. We know that he collected 30 9/10 kilograms, which can be written as a mixed number or an improper fraction:
30 9/10 = 309/10
So, we have:
G = 309/10
We also know that 2/3 of the grass he collected was blue grass. So, let's call the amount of blue grass "B" in kilograms. We can set up an equation based on the information given:
B = (2/3)G
Substituting G = 309/10, we get:
B = (2/3)(309/10)
B = 206/5
B = 41 1/5
Therefore, the total amount of blue grass Austin collected was 41 1/5 kilograms.
Step-by-step explanation: