Answer:
x = 1 is correct !
Step-by-step explanation:
Answer:
I little explanation :)
listed are 29 ages for academy award winning best actors in order from smallest to largest. 18; 21; 22; 25; 26; 27; 29; 30; 31; 33; 36; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 a. (5pts) find the score at the 20th percentile
The score at the 20th percentile is 27.
To find the score at the 20th percentile of the 29 ages for Academy Award winning best actors, follow the steps below:
Arrange the given ages from smallest to largest.
18; 21; 22; 25; 26; 27; 29; 30; 31; 33; 36; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77
Determine the total number of data points
n = 29
Find the rank of the percentile
20th percentile = (20/100) * 29 = 5.8 = 6 (rounded to the nearest whole number).The rank of the percentile is 6.
Use the rank to determine the corresponding data value. The corresponding data value is the value at the 6th position when the data is arranged in ascending order. The score at the 20th percentile is 27.
To learn more about score at percentile refer :
https://brainly.com/question/14444761
#SPJ11
Natalie is given 2 hours to complete her final exam. She spends 20 minutes on section A and 60 minutes on section b. How many mor minutes does she have left to complete the exam? Let t be the amount of time left. Write and equation to solve for t. Show your work.
Therefore, in response to the given query, we can state that As a result, equation the ultimate solution is t = 40, indicating that Natalie has 40 more minutes to finish the test.
What is equation?A mathematical equation connects two statements and employs the equals sign (=) to indicate equality. In mathematics, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal symbol separates the numbers by a space. A mathematical formula can be used to determine how the two lines on either side of a letter relate to one another. The emblem and the particular piece of software are frequently identical. like, for instance, 2x - 4 = 2.
We must deduct the time Natalie has already used from the overall time allotted to her in order to determine how many more minutes she has to finish the exam:
Given time: 2 hours divided by 60 minutes per hour equals 120 minutes.
20 minutes were devoted on section A.
Section B took up 60 minutes of your time.
Time remaining = Time allotted Time on section A minus Time on section B t = 120 minus 20 minus 60 minus 40
As a result, Natalie has 40 more minutes to finish the test.
The following algorithm can be used to find t:
t = 120 - 20 - 60
t = 40
As a result, the ultimate solution is t = 40, indicating that Natalie has 40 more minutes to finish the test.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
if sin A=3/8 , find the value of cosec A-sec A
If sinA = 3/8, the value of cosec A - sec A is (72√55 - 440)/495
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
If sin A = 3/8
and SinA = opp/ hyp
opp = 3 and hyp = 8
using Pythagoras theorem
8² = 3²+adj²
adj = √ 8²-3²
adj = √64-9
adj = √55
cos A = √55/8
sec A = 1/CosA = 8/√55
cosec A = 1/sinA = 8/3
cosec A-sec A = 8/ √55 - 8/3
= (24-8√55)/3√55
= (72√55 - 440)/495
learn more about trigonometric ratio from
https://brainly.com/question/24349828
#SPJ1
a mint produces 100,000 coins. upon weighing some of them with a precise scale, officials find that the coins vary slightly in weight, with an independent uncertainty of 1%. about how many coins must be randomly sampled and weighed in order to determine the total weight of the coins to within 0.1% uncertainty? assume there are no sources of systematic uncertainty.
To determine the total weight of the coins to within 0.1% uncertainty, we need to weigh 100 coins.
We can use the formula for the standard deviation of the mean to determine the number of coins needed to be weighed. The formula is given by -
σ mean = σ/√N
Where σ is the standard deviation of the coins and N is the number of coins weighed.
We are given that the standard deviation of the coins is 1%, we have,
σ mean = 1%/√N
We want to determine the number of coins N such that σ mean = 0.1%. So, 0.1% = 1%/√N
Dividing both sides by 0.1% we get,
√N = 1%/0.1% = 10
Taking the square of both sides,
N = \(10^2\) = 100
Therefore, to determine the total weight of the coins to within 0.1% uncertainty, we need to weigh 100 coins.
Read more about standard deviation:
brainly.com/question/24298037
#SPJ4
Use the following table to answer the question. Standard population for region X:19,000 Standard population for region Y: 8,000 What is the proportionate mortality for young people in region X ? a. 69/115=60% b. 69/117=59% c. 69/184=37% d. 115/184= 63%
The closest option to this value is option (c) 69/184 = 37%.
To calculate the proportionate mortality for young people in Region X, we need to compare the number of deaths in the young age group to the standard population of Region X.
The proportionate mortality can be calculated using the formula:
Proportionate Mortality = (Number of Deaths / Standard Population) 100
In this case, for the young age group in Region X, the number of deaths is 69, and the standard population is 19,000.
Proportionate Mortality = (69 / 19,000) 100 = 0.363 100 = 36.3%
Therefore, the proportionate mortality for young people in Region X is approximately 36.3%.
The closest option to this value is option (c) 69/184 = 37%.
To calculate proportionate mortality, we would need the number of deaths among young people in region X and divide it by the standard population for region X. The answer would be in the form of a ratio or percentage.
Learn more about Population Calculation here:
https://brainly.in/question/32179158
#SPJ11
PLEASE HELP!!!!!!!Find the length of the missing sides. Round your answers to the nearest tenth. (Hint: Always make sure to label your triangle first with your reference angle)
Answer:
(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)
Step-by-step explanation:
For the first picture :
The missing angle :
180 - (32 + 90)
180 - (122) = 58°
To obtain the length of side x:
From ptthagoras:
Tan58° = opposite / Adjacent
1.6003345 = 15 / x
x = 15 / 1.6003345
= 9.37
y = sqrt(15^2 + 9.37^2)
y = sqrt(312.7969)
y = 17.7m
2)
Missing angle :
From ptthagoras :
Sin54° = opposite / hypotenus
0.8090169 = y/ 24
y = 0.8090169 * 24
y = 19.42
x = sqrt(24^2 - 19.42^2)
x = sqrt(198.8636)
x = 14.10
3)
Sin21° = opposite / hypotenus
0.3583679 = 8 /y
y = 8 / 0.3583679
y = 22.3
x = sqrt(22.3^2 - 8^2)
x = sqrt(433.29)
x = 20.8
(look at the image) can i get help on this?
Answer:
no u wont
Step-by-step explanation:
give money
18. 105 = 2x - 11 —> 116 = 2x —> x = 58
Plug in x — > 2(58) - 11 —> 116 - 11 —> 105
105 + 105 = 210
360 which is the sum of all of the angles
360 - 210 = 150
Now divide 150 by 2 because those 2 angles and vertical angles and they should have the same degrees.
150/2 = 75
Angle AEB = 75 degrees
Angle CED = 75 degrees
Angle BEC = 105 degrees
19. (6x + 19) + x = 180 because they are adjacencies angles and make a straight line which equals 180 degrees
7x + 19 = 180 —> 7x = 161 —> x = 23
Now plug in x —> x = 23 for angle BEC
6(23) + 19 —> 138 + 19 —> 157
Angle BEC = 23 Degrees
Angle AEB =105 Degrees
Angle AED = 23 Degrees
Angle CED = 157 Degrees
During the month of January, ABC Appliances sold 34 microwaves, 28 refrigerators and 32 stoves, while XYZ Appliances sold 46 microwaves, 17 refrigerators and 43 stoves. During the month of February, ABC Appliances sold 51 microwaves, 32 refrigerators and 36 stoves, while XYZ Appliances sold 55 microwaves, 22 refrigerators and 22 stoves. a. Write a matrix summarizing the sales for the month of January. (Enter in the same order that the information was given.) Preview b. Write a matrix summarizing the sales for the month of February. (Enter in the same order that the information was given.) Preview c. Use matrix addition to find a matrix summarizing the total sales for the months of January and February.
The given matrix summarizing the sales for the month of January is: `[[34, 28, 32], [46, 17, 43]]`.
The given matrix summarizing the sales for the month of February is: `[[51, 32, 36], [55, 22, 22]]`c. To find a matrix summarizing the total sales for the months of January and February, we can use matrix addition.In matrix addition, corresponding elements of both matrices are added. Let's add the given matrices of sales for January and February:```
[[34, 28, 32], [[51, 32, 36],
[46, 17, 43]] [55, 22, 22]]
+ =
-------------------------
[[ 85, 60, 68],
[101, 39, 65]].
The above matrix gives the total sales for the months of January and February: Matrix summarizing the sales for the month of January is `[[34, 28, 32], [46, 17, 43]]`. Matrix summarizing the sales for the month of February is `[[51, 32, 36], [55, 22, 22]]`.Use matrix addition to find a matrix summarizing the total sales for the months of January and February: `[[ 85, 60, 68], [101, 39, 65]]`.
To know more about matrix visit:
https://brainly.com/question/29132693
#SPJ11
test the series for convergence or divergence. 2/5−2/6 2/7−2/8 2/9
Therefore, the series does not satisfy the necessary condition for convergence, which states that the terms should approach zero.
To determine whether the series converges or diverges, we need to examine the behavior of the terms as the series progresses. Let's analyze the given series:
=2/5 - 2/6 + 2/7 - 2/8 + 2/9
We can rewrite the series by grouping the terms:
=(2/5 - 2/6) + (2/7 - 2/8) + 2/9
To determine the convergence or divergence of the series, we need to evaluate the limit of the terms as the series progresses.
Term 1: 2/5 - 2/6
= (12 - 10)/30
= 2/30
= 1/15
Term 2: 2/7 - 2/8
= (16 - 14)/56
= 2/56
= 1/28
Term 3: 2/9
As we can see, the terms are positive and decreasing as the series progresses. However, the terms do not approach zero.
To know more about convergence,
https://brainly.com/question/32562373
#SPJ11
A population of values has a normal distribution with = 210. 3 and = 86. You intend to draw a random sample of size n = 69. Find the probability that a single randomly selected value is between 217. 5 a
The probability that a single randomly selected value is between 217.5 and 225.2 is approximately 0.0674.
To find the probability, we first convert the given values to z-scores using the formula (X - μ) / σ. Then, using a standard normal distribution table or calculator, we find the area under the curve between these two z-scores. This represents the probability of the value falling between the given range. In this case, the probability is approximately 0.0674, or 6.74%.
Learn more about approximately here;
https://brainly.com/question/30707441
#SPJ11
1.
a.
A cookie recipe uses 3 cups of flour to make 15 cookies. How many cookies can you make
with this recipe with 4 cups of flour? (Assume you have enough of the other ingredients.)
b.
A teacher uses 36 centimeters of tape to hang up 9 student projects. At that rate, how
much tape would the teacher need to hang up 10 student projects?
Answer:20 cookies
Step-by-step explanation:
Seven years ago, Mrs Grey decided to invest R18 000 in a bank account that paid simple interest at 4,5% p.a. 4.1.1 Calculate how much interest Mrs Grey has earned over the 7 years. 4.1.2 Mrs Grey wants to buy a television set that costs R27 660,00 now. If the average rate of inflation over the last 5 years was 6,7% p.a., calculate the cost of the television set 5 years ago. 4.1.3 At what rate of simple interest should Mrs Grey have invested her money 7 years ago if she intends buying the television set now using only her original investment of R18 000 and the interest earned over the last 7 years?
The interest earned by Mrs Grey over the 7 years is R5670. The cost of the television set 5 years ago was R20,600.
4.1.1 To calculate the interest earned by Mrs Grey over 7 years, we use the formula for simple interest: Interest = Principal x Rate x Time. Mrs Grey's principal is R18,000 and the rate is 4.5% per annum. The time is 7 years. Using the formula, we can calculate the interest as follows:
Interest = R18,000 x 0.045 x 7 = R5670. Therefore, Mrs Grey has earned R5670 in interest over the 7 years.
4.1.2 To calculate the cost of the television set 5 years ago, we need to account for the inflation rate. The cost of the television set now is R27,660. The average rate of inflation over the last 5 years is 6.7% per annum. We can use the formula for compound interest to calculate the original cost of the television set:
Cost 5 years ago = Cost now / (1 + Inflation rate)^Time
Cost 5 years ago = R27,660 / (1 + 0.067)^5 = R20,600. Therefore, the cost of the television set 5 years ago was R20,600.
4.1.3 To determine the rate of simple interest Mrs Grey should have invested her money at 7 years ago, we can use the formula for interest: Interest = Principal x Rate x Time. We know the principal is R18,000, the time is 7 years, and the interest earned is R5670. Rearranging the formula, we can solve for the rate:
Rate = Interest / (Principal x Time)
Rate = R5670 / (R18,000 x 7) ≈ 0.0448 or 4.48% per annum. Therefore, Mrs Grey should have invested her money at a rate of approximately 4.48% per annum to have earned enough interest to purchase the television set using only her original investment and the interest earned over the 7 years.
Learn more about simple interest here:
brainly.com/question/30964674
#SPJ11
Which of the following tables represents a linear function?
x 1 1 0 1 1
y −2 −1 0 1 2
x 0 1 2 3 4
y −3 2 0 −2 3
x −2 −1 0 1 2
y 2 0 −1 0 2
x −2 −1 0 1 2
y 3 1 −1 −3 −5
Answer:
The last table (x −2 −1 0 1 2
y 3 1 −1 −3 −5) represent a linear function.
Step-by-step explanation:
The last table has a constant rate of chage between the points. None of the others have that. In a couple, there are multiple values of y for a single value of x.
Answer:
D. x −2 −1 0 1 2
y 3 1 −1 −3 −5
Step-by-step explanation:
Hope this helps :)
Please help fast. 15 points
Answer:
3rd one? ldk
Step-by-step explanation:
Answer:
-12x+4
Step-by-step explanation:
First, you have to rearrange terms.
-6(-2/3+2x)
-6(2x-2/3)
Now you have to distribute.
-6(2x-2/3)
-12x+4
and that's how you get your answer.
I hope this helps. :)
(You can also put it as 4-12x.)
uptown bank will lend you $22,200 at 6.9 percent, compounded monthly, to purchase a car. if you finance the car for 48 months, what will be the amount of each monthly payment?
a. $593.60
b. $549.08
c. $578.38
If the Uptown bank lends $22200 at 6.9% , then the amount of each monthly payment is (d) $530.57 .
The amount that Uptown bank will lend is = $22200 ,
the rate is = 6.9% ,since it is compounded monthly ,
So , monthly rate is = 6.9%/12 = 0.00575 ,
the time for which the car is financed is = 48 months ,
So , to calculate the monthly payment, we can use the formula:
⇒ P = (PV × r)/(1 - (1 + r)⁻ⁿ)
Where P is monthly payment, PV is present value of loan, r = monthly interest rate, and n = number of payments.
In this case, PV = $22200, r = 6.9%/12 = 0.00575 (monthly interest rate), and n = 48.
Substituting these values in monthly payment formula, we get:
⇒ P = (22200×0.00575)/(1 - (1 + 0.00575)⁻⁴⁸)
⇒ P ≈ $530.57
Therefore, the monthly payment will be approximately $530.57 . The correct answer is (d) $530.57 .
Learn more about Monthly Payment here
https://brainly.com/question/18648909
#SPJ4
The given question is incomplete , the complete question is
Uptown bank will lend you $22,200 at 6.9 percent, compounded monthly, to purchase a car. if you finance the car for 48 months, what will be the amount of each monthly payment?
(a) $593.60
(b) $549.08
(c) $578.38
(d) $530.57
Segment AB has point A located at (6,5). If the distance from A to B is 3 units, which of the following could be used to calculate the coordinates from point B?
Any point that satisfies this equation is a possible location for point B.
Explain how distance is 3 from point A to B?There are infinitely many points that could be point B given that its distance from point A is 3 units. However, we can use the distance formula to narrow down the possible coordinates of point B.
The distance formula states that the distance d between two points (x1, y1) and (x2, y2) is:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
In this case, point A is located at (6, 5), so we can plug in these values for (x1, y1). We also know that the distance from A to B is 3 units, so we can plug in d = 3 and solve for (x2, y2), which represents the possible coordinates of point B.
Here are the steps:
d = √[(x2 - x1)^2 + (y2 - y1)^2] (distance formula)
3 = √[(x2 - 6)^2 + (y2 - 5)^2] (plug in d = 3 and (x1, y1) = (6, 5))
9 = (x2 - 6)^2 + (y2 - 5)^2 (square both sides to eliminate the square root)
There are many ways to proceed from here, but one possible method is to use the fact that the equation (x - h)^2 + (y - k)^2 = r^2 represents a circle with center (h, k) and radius r. So we can rewrite the equation 9 = (x2 - 6)^2 + (y2 - 5)^2 in this form and use it to find possible coordinates for point B.
9 = (x2 - 6)^2 + (y2 - 5)^2
9 = (x2 - 6)^2 + (y2 - 5)^2 + 0^2 (add 0^2 to complete the square)
9 = (x2 - 6)^2 + 2(x2 - 6)(-6) + (-6)^2 + (y2 - 5)^2 + 2(y2 - 5)(-5) + (-5)^2 - 36 - 25 (expand the square)
9 = (x2 - 6)^2 + (y2 - 5)^2 - 66
(x2 - 6)^2 + (y2 - 5)^2 = 75
This is the equation of a circle with center (6, 5) and radius √75. Any point on this circle is a possible location for point B. We can rewrite the equation in the standard form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius:
(x - 6)^2 + (y - 5)^2 = 75
Therefore, any point that satisfies this equation is a possible location for point B.
Learn more about Distance
brainly.com/question/31713805
#SPJ11
Work out the size of angle x.
Answer:
x = 46°
Step-by-step explanation:
Angles on a straight line sum to 180°.
Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:
⇒ 180° - 130° = 50°
The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:
⇒ 180° - 96° = 84°
The interior angles of a triangle sum to 180°. Therefore:
⇒ 50° + 84° + x = 180°
⇒ 134° + x = 180°
⇒ 134° + x - 134° = 180° - 134°
⇒ x = 46°
Therefore, the size of angle x is 46°.
If you are interested in purchasing 20 year term life insurance and every $10,000 of coverage costs $1.00 per month, how much would your monthly payment be for $250,000 of coverage?
Answer: 1,200
Step-by-step explanation:
Multiply. Write each product in simplest form.
9. 3×11
10. //
13. 021-
12.
20
=
=
=
11. 2×4=
8 9
X
18 20
14.
=
Answer:
Te conozco y sé qué
Como Nuevo de fabrica el otro
Which 3 cards on the bottom are the reasons?
Answer:
Attachment
Step-by-step explanation:
help brainliest if right
Answer:
8
Step-by-step explanation:
Answer:
the answer is 8
PLEASE GIVE BRAINLIST
6)
Manuel found a wrecked Trans-Am that he could fix. He
bought the car for 65% of the original price of $7200.
What did he pay for the car? (Round to nearest dollar)
Show how you got the answer
Answer:
$4680
Step-by-step explanation:
65% of 7200 equals 4680.
Answer:
He payed 4,680
Step-by-step explanation:
multiply 7200 by .65
7200 * .65 = 4,680
a bipartite graph has two disjoint sets of vertices a and b. a has m elements and b has n elements. what is the maximum number of edges in this bipartite graph?
The maximum number of edges in a bipartite graph with two disjoint sets of vertices A (with m elements) and B (with n elements) is m * n.
In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets and , that is every edge connects a vertex in to one in .
To find the maximum number of edges in a bipartite graph with two disjoint sets of vertices A and B, where A has m elements and B has n elements, you can simply multiply the number of elements in set A by the number of elements in set B.
The maximum number of edges in this bipartite graph is given by the product of the sizes of the two vertex sets, which is m * n.
Learn more about graph:
https://brainly.com/question/19040584
#SPJ11
Identify angles with terminology
I need help I’ve been stuck for hours
32 is what percent of 50?
64%
70%
1.5%
156%
Answer:
64% hope this helps
Step-by-step explanation:
I'm just smart
Answer:
The answer is 64%
Step-by-step explanation:
5= 10% multiply 5 by 6 and you get 30. the 2 equals 4 percent so the percent is 64%. I hope this helps.
A rectangular laundry hamper is 3 1⁄4 feet tall, 2 1⁄3 feet long, and 1 5⁄6 feet wide. What is the volume of the laundry hamper? *
Answer:
V = 13 65⁄72 ft3
Step-by-step explanation:
V = 13⁄4 ft × 7⁄3 ft × 11⁄6 ft
V = 1,001⁄72 ft3
V = 13 65⁄72 ft3
2x^2+3x+5/x+5
Find slant asymptote
To find the slant asymptote of the given function, we can perform long division of the polynomial in the numerator by the polynomial in the denominator.
2x - 7
-------------
x + 5|2x^2 + 3x + 5
2x^2 + 10x
-------------
-7x + 5
-7x - 35
--------
40
The quotient is 2x - 7 and the remainder is 40/(x+5). The slant asymptote is the quotient, which is 2x - 7.
Therefore, the slant asymptote of the function 2x^2 + 3x + 5/(x+5) is y = 2x - 7.
Hope it's understandble...
Answer:
y = 2x + 7
Step-by-step explanation:
A slant asymptote is a type of asymptote that occurs in certain rational functions when the degree of the numerator polynomial is exactly one greater than the degree of the denominator polynomial.
A slant asymptote is a straight line in the form y = mx + c, and its equation is the quotient of the division of the numerator of the function by its denominator.
Therefore, to find the equation of the slant asymptote of the given rational function, divide the numerator 2x² + 3x + 5 by the denominator (x + 5).
\(\large \begin{array}{r}2x-7\phantom{))}\\x+5{\overline{\smash{\big)}\,2x^2+3x+5\phantom{))}}\\{-~\phantom{(}\underline{(2x^2+10x)\phantom{-b)}}\\-7x+5\phantom{))}\\-~\phantom{()}\underline{(-7x-35)\phantom{}}\\40\phantom{)}\\\end{array}\)
The quotient of the division is 2x - 7.
Therefore, the equation of the slant asymptote is:
\(\boxed{y=2x-7}\)
5) A warehouse outside of a factory currently has an inventory of 1245 boxes. After an 8-
hour work day, the warehouse has 2000 boxes. Assume the warehouse was being filled at a
constant (linear) rate.
a) How many boxes per hour is the factory able to provide to the warehouse?
b) What would be the inventory at the end of a 40-hour work week?
c) How long will it take to fill the warehouse to its 50,000 box capacity?
6) In the year 2007, a FOREVER stamp cost cost $0.41. In 2023, the cost of a FOREVER
stamp was $0.63. Assume that the cost of stamps increased at a constant (linear) rate.
a) If price increases continue at the current rate, how much will a FOREVER stamp
cost in 2035?
b) In what year would you expect a FOREVER stamp to cost one dollar?
7) In January of 2021, there were 980,000 games available on the Apple App Store. By July
of 2021, there were 984,200 games available. If we assume that the number of available
games is steadily increasing at a constant (linear) rate,
a) How many games does this pattern predict will be available in January 2022?
b) At this rate, when will there be 1,000,000 games available for purchase in the Apple
App Store?
Thee factory is able to provide 94.38 boxes per hour to the warehouse.
How to calculate the valueRate = (2000 - 1245) / 8 = 94.38 boxes per hour
Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.
Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2
Therefore, the inventory at the end of a 40-hour work week would be:
1245 + 3775.2 = 5020.2 boxes
rate = (50000 - 1245) / time
Simplifying this equation, we get:
time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).
Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,
Learn more about word problem on
https://brainly.com/question/21405634
#SPJ1
A grounds keeper needs grass to cover a circular field 290 feet in diameter.a store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain ir show your reasoning
Answer:The smallest number of bags the groundskeeper must buy to cover the field is 165 bags.
Given:
A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter.
A store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.
To find:
The smallest number of bags the groundskeeper must buy to cover the field.
Solution:
Diameter of the field = 290 feet, radius = 145 feet
Step-by-step explanation:
Which equations are equivalent to ? Check all that apply. X 4 = 64 60 = x.
You can use the fact that equivalent equations are such that one equation can be obtained by performing some operations(which doesn't break equality) on the other equation and vice versa.
The equivalent equation to \(x + 4 = 64\) is \(x = 60\)
What are equivalent equations?Equivalent equations are such that one equation can be obtained by performing some operations(which doesn't break equality) on the other equation and vice versa.
How to get the equivalent equation of the given equation?The given equation is
\(x + 4 = 64\)
Subtracting 4 from both sides, we get
\(x + 4 - 4 = 64 - 4\\x = 60\)
Thus, one equivalent equation to the given equation is \(x = 60\)
The equivalent equation to \(x + 4 = 64\) is \(x = 60\)
Learn more cases of equivalent equations here:
https://brainly.com/question/14332869