Answers
Answer:
54 chickens
Step-by-step explanation:
This problem requires you find the area of Thomas's field, then use that area to find the number of chickens he can keep. The irregularly-shaped field can be considered as composed of shapes that you know how to find the area of.
__
field areaThere are many ways the area can be divided. One of them is shown in the attachment. That shows the area to be the sum of the areas of a triangle and a trapezoid.
The triangle has a base of 20 m and a height of 7 m, so an area of ...
A = 1/2bh
A = 1/2(20 m)(7 m) = 70 m²
The trapezoid has bases of 11 m and 18 m, and a height of 14 m. Its area is ...
A = 1/2(b1 +b2)h
A = 1/2(11 m +18 m)(14 m) = 1/2(29 m)(14 m) = 203 m²
The area of the field is the sum of these areas:
field area = triangle area + trapezoid area
field area = 70 m² +203 m² = 273 m²
__
chickensEach chicken requires an area of 5 m², so the total area for n chickens is ...
area for n chickens = 5n . . . . square meters
This area cannot exceed the area of the field, so an inequality can be written:
area for n chickens ≤ field area
5n ≤ 273
n ≤ 54.6 . . . . . . divide by 5
Thomas can keep a maximum of 54 chickens in the field.
Related Questions
y=x^2+5x-8 to factored form
Answers
Answer:
Factor and set each factor equal to zero. Y=x2+5x−8
Step-by-step explanation:
For this graph, mark the statements that are true.
M
-1-
A. The range is the set of all real numbers.
B. The domain is the set of all real numbers.
C. The domain is the set of all real numbers greater than or equal to
-2.
D. The range is the set of all real numbers greater than or equal to
zero.
Answers
The true statements for this graph are:
B. The domain is the set of all real numbers.
D. The range is the set of all real numbers greater than or equal to zero.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. For this graph, the vertex of the parabola is (1, 0) and as such, the equation will be given by:
y = (x - h)² + k
y = (x - 2)² + 0
y = x² -4x + 4
Therefore, the graph's domain include a set of all real numbers.
What is a range?A range refers to a set of all real numbers that connects with the elements of a domain. For this graph, we can observe that only real numbers greater than or equal to zero (0) are connected to the values on the x-axis of the domain.
In conclusion, we can logically deduce that the true statements for this graph are:
Its domain include all real numbers.Its range include all real numbers that are greater than or equal to zero (0).Read more on domain here: https://brainly.com/question/17003159
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Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time?
Answers
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time
Answer:
s
Calculate the surface area of the composite figure
Answers
Answer:
Below in bold.
Step-by-step explanation:
Total surface area = 1/2 * area of a sphere + area of the side o a cone
= 1/2 * 4 π r^2 + π r L
= 1/2 * 4 π 7^2 + π*7*25
= 307.876 + 549.779
= 857.65 in^2 to nearest hundredth.
To convert a distance between miles and feet, you can use the equation f=5280m. In this equation, what is the role of f
Answers
If x and y are complementary angles, then y is a right angle.
right?
Answers
Step-by-Step Explanation:
Complementary angles are a set of angles that sum up to 90 degrees. Neither y nor x can be 90 since if it is, then the other angle would have to be 0 degrees which is not possible in a triangle.
Function k is a transformation of the parent exponential function f. what are the domain and range of function k? k(x)= 2^x
Answers
Answer:
Domain: All real numbersRange: All real numbers greater than 0What’s the answer for this?
Answers
Answer:2x
Step-by-step explanation:
In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph:
(2, 1990) (5, 4225) (9, 7205)
Find the slope and y-intercept. Explain what each represents.
Answers
The slope of the graph is 745 and the y-intercept of the graph is 500
How to determine the slope?The points are given as:
(2, 1990) (5, 4225) (9, 7205)
The slope is calculated using:
m = (y2 - y1)/(x2 - x1)
So, we have:
m = (4225 - 1990)/(5 - 2)
Evaluate
m = 745
This means that the amount earned per day is 745
Hence, the slope of the graph is 745
How to determine the y-intercept?In (a), we have
m = 745
To calculate the y-intercept, we use the following points
(x1 , y1) = (0,y)
Recall that:
m = (y2 - y1)/(x2 - x1)
So, we have:
745 = (4225 - y)/(5 - 0)
Evaluate the difference
745 = (4225 - y)/(5)
Multiply both sides by 5
3725 = 4225 - y
Solve for y
y = 500
This means that the initial amount earned is 745
Hence, the y-intercept of the graph is 500
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What are the roots of the equation 9x^2-6x+2=0 in simplest a+bi form?
Answers
Answer:
Step-by-step explanation:
what is the coordinate of the vertex for the following prabola: (x-10)^2 = 12(y+2)
Answers
Answer:
Hi,
Step-by-step explanation:
[tex](x-10)^2=12(y+2)\\y=\dfrac{(x-10)^2}{12}-2\\y'=0 == > 2(x-10)/12=0 == > x=10 == > y=-2\\\\Vertex\ is\ (10,-2)\\[/tex]
HELPP PLEASE 50 POINTS
Tucker bought some envelopes plain envelope cost twenty-five cents each decorative envelopes cost $0.45 each. he bought at least one plain envelope and at least one decorative envelope he spent exactly the same amount on Plain envelopes as on decorative envelopes.
before taxes added what was the least total amount he could have spent?
A. 1.40$
B. 2.30$
C. 3.10$
D4.50$
Answers
Answer:
D.
Step-by-step explanation:
0.45*5=2.25
0.25*9=2.25
2.25*2=4.50
Hope this helps!
If not, I am sorry.
Which expression gives the distance between the points
(-3, 4) and (6, -2)?
O A. (-3-4)²+(6+2)²
O B. (-3-6) +(4+2)²
O C. (-3-6)²+(4+2)²
O D. (-3-4)²+(6+2)²
Answers
The expression that gives the distance is [tex]\sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]
How to determine the expression?The points are given as:
(-3, 4) and (6, -2)
The distance between two points is calculated using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
This gives
[tex]d = \sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]
Hence, the expression that gives the distance is [tex]\sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]
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There are 11 cookies in a jar, as listed below. The cookies are all the same size and shape.
•
6 chocolate chips
• 5 oatmeal
One cookie is randomly selected from the jar and not replaced. Then a second cookie is
randomly selected and not replaced. What is the probability they are both chocolate chips?
Answers
Answer:
6/11*5/10 = 3/11
Step-by-step explanation:
first we can get 6/11 which is the probability.
then we minus both sides by 1 to get 5/10
then we times them
10) Eve has a fall job to pick pumpkins at the farm.
She earns $4.00 every 12 minutes that she picks pumpkins.
• She earns $4.40 every 12 minutes that he picks apples.
• She picked pumpkins for an hour and apples for 48 minutes.
How much money did Eve earn?
Answers
For pumpkins
Total 12mins sets
1hr/12min60min/12min5earnings
4(5)$20.00For apples
Total 12 mins
48/124Earnings
4(4.40)$17.60Total earnings
20.00+17.60$37.60Answer:
$37.60
Step-by-step explanation:
Eve earns:
$4.00 per 12 minutes spent picking pumpkins$4.40 per 12 minutes spent picking applesMoney earned from picking pumpkins:
1 hour = 60 minutes
[tex]\begin{aligned}\implies \sf Money\:earned & = \sf Salary \times 60\:minutes\\\\& = \sf \$4.00\:per\:12\:minutes \times 60\:minutes\\\\& =\sf \dfrac{\$4.00}{12\:minutes} \times 60\:minutes\\\\ & = \sf \$4.00 \times \dfrac{60\:minutes}{12\:minutes}\\\\ & = \sf \$4.00 \times 5\\\\ & = \sf\$20.00\end{aligned}[/tex]
Money earned from picking apples:
[tex]\begin{aligned}\implies \sf Money\:earned & = \sf Salary \times 48\:minutes\\\\& = \sf \$4.40\:per\:12\:minutes \times 48\:minutes\\\\& =\sf \dfrac{\$4.40}{12\:minutes} \times 48\:minutes\\\\ & = \sf \$4.40 \times \dfrac{48\:minutes}{12\:minutes}\\\\ & = \sf \$4.40 \times 4\\\\ & = \sf\$17.60\end{aligned}[/tex]
Total earned:
= money earned from picking pumpkins + money earned from picking apples
= $20.00 + $17.60
= $37.60
At a diner, the lunch special gives you three choices. For the starter, you can pick from 3 choices (soup or salad or fries) For the main item, you can pick from 2 choices (burger or sandwich) For the drink, you can pick from 2 choices (coke or pepsi) If the staff chooses all items for you randomly, figure these probabilities.
1. Probability of getting (soup, burger, coke)
2. Probability of getting (fries, burger, any drink)
Answers
Answer:
1/12; 1/6
Step-by-step explanation:
1. the chance of getting soup is 1/3, the chance of getting a burger is 1/2, and the chance of getting coke is 1/2, multiply these chances to get (1/3) *(1/2) * (1/2) = 1/12
2. the chance of getting fries is 1/3, the chance of getting a burger is 1/2, and the chance of getting any drink is 1, multiply these chances to get (1/3) * (1/2) * 1 = 1/6
What is the probability of rolling two dice, and having a total of 8 dots showing? Express your answer as a percent
rounded to the nearest hundredth.
11.11%
15%
16.67%
13.89%
Answers
The value of the first die can be any number except for 1 because even if the second die rolls a 6, the total will only be 7. This means that there is a 5/6 chance of rolling an appropriate number with the first die. The second die has a 1/6 chance of rolling any given number. Any given number can be added to only one of the five numbers from the previous die to equal an 8. As a result, both numbers must be multiplied.
5/6 x 1/6 = 5/36 or 13.89%
Which of these is a recurring cost of car ownership?
A. Windshield replacement
B. Driver's license application fee
C. Gas
O D. Bumper replacement
Answers
You pick a card at random.
3 4 5
what is p(not less than 5)?
write your answer as a fraction or whole number.
Answers
10/1 1/10
Would be the answer
Which of the triangles shown are scalene triangles? (2 points)
A group of triangles. Triangle A has three acute angles and two equal sides. Triangle B has two acute angles, one ninety degree angle, and two equal sides. Triangle C has three acute angles and two equal sides. Triangle D has two acute angles and one obtuse angle. All the sides on this triangle are different lengths.
Triangle A and Triangle B
Triangle C
Triangle B and Triangle D
Triangle D
Answers
Answer:
Triangle D.
Step-by-step explanation:
A scalene triangle has different sides.
How do you write 9.085 x 10-9 in standard form?
Answers
Answer: 0.000000009085
Step-by-step explanation: This expression is rewritten like this because it is multiplied by a negative power of ten. Therefore, applying this principle to scientific notation, the answer would have to be less than 0. That would be your answer. Hope this helps!
please help, i need it done by today but dint know how to solve it
Answers
Answer:
B
C
B, C
Step-by-step explanation:
Equation for each tree's growth.
A: y = 4x + 5
You are correct.
B: Your slope is correct, 4.5
Equation of height: y = 4.5x + 3
C: It starts at 10 inches, so in y = mx + b, b = 10.
Now we find the slope from points on the graph (0, 10) and (3, 20).
slope = m = (20 - 10)/(3 - 0) = 10/3
Equation: y = 10x/3 + 10
Questions:
Which tree is growing fastest:
The slope is the rate of growth.
Answer: B since it has the greatest slope.
Tallest tree when planted:
The y-intercept is the4 initial height.
Answer: C since it was 10 inches tall at planting.
Challenge:
A: 4x + 5 = 4(6) + 5 = 29
B: 4.5x + 3 = 4.5(6) + 3 = 30
C: 10x/3 + 10 = 10(6)/3 + 10 = 30
Trees B and C were both 30 inches at 6 months. Tree A was 29 inches.
Answer: B and C
PLEASE HELP ME :)
At a track meet, you time a friend running 100 m in 11.00 seconds. The officials time her as well. You find that you have an error of 3.09%. What are the two possible official times your friend ran the 100 meters?
Answers
Answer:
sorry but i need the answer too pls answer the question
Lawrence poured 27.328 L of water into a right rectangular prism- shaped tank. The base of the tank is 40 cm by 28 cm. When he finished pouring the water, the tank was ⅔ full. ( 1L=1,000 cm 3).
Answers
By using the given dimensions and volume of water, we will see that the height of the tank is 36.6cm
How to find the height of the tank?We know that 27,238 cm³ is the volume of water on the tank, and this is equal to 2/3 of the volume of the tank.
So we can write:
27,238 cm³ = (2/3)*V
Then the volume of the tank is:
V = (3/2)*27,238 cm³ = 40,992 cm³
The base of the tank measures 40cm by 28cm, then:
B = 40cm*28cm = 1,120 cm²
Then the height H is such that:
H*1,120 cm² = 40,992 cm³
Solving for H:
H = (40,992 cm³)/(1,120 cm²) = 36.6cm
The height of the tank is 36.6 centimeters.
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3 substracted from 9 times 2 and 5 is added
Answers
Answer:
20
Step-by-step explanation:
It is because 9x2=18
3 subtracted from 18 is 15
15+5=20
please mark brainliest
solve pls brainliest
Answers
Answer:
4 pt = 8 cups
28 qt = 7 gallons
Step-by-step explanation:
We know, from your chart, that 1 p = 2 c
4 p is four times 1 p
so, to scale up 1 pint to 4 pints, we multiply by 4
to figure out what the corresponding number of cups would be, we also have to multiply that value by 4
if 1 p = 2 c
then 4 p = 8 c
(1 x 4) (2 x 4)
8 cups
--------
If we have 28 quarts, and we know that 4 quarts is 1 gallon, we can divide 28 / 4 to find how many gallons are in 28 quarts (or, how many gallons can be made of 28 quarts)
28 / 4 = 7
7 gallons
rainbow's is having a discount on swimsuits for the start of summer. the original price of the swimsuit is $30 and it is marked as 25% off. what is the
sale price that the customer will pay?
Answers
Answer:
22.50
Step-by-step explanation:
25 percent 30
= (25/100)30
= (25*30)/100
= 750/100 = 7.50
$30 - $7.50 = $22.50
calculate the area of this trapezium:
b = 15cm
h = 6cm
top part = 9cm
PLEASE I NEED THIS ASAP !!!
Answers
Answer:
72
Step-by-step explanation:
hopefully you dont need work since you need it asap :(
Answer:
Step-by-step explanation:
1/2 (a+b) x h
a+b = 9+15= 24 / 2 = 12
12 x 6 = 72cm2
Are the equations 1/2x-8=9 and x-8=18 equivalent?
Answers
Answer:
not equivalent
Step-by-step explanation:
solve for x to see if they are equivalent
1/2x-8=9 and x-8=18
1/2x=17
x=34
x-8=18
x = 36
no they are not equivalent
1/2x=17
X=16 1/2
X-8=18
C=26
No
What is the probability you spin something larger than 10
Answers
The probability you spin something larger than 10 will be 1 / 2.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The given data is:-
There are 8 numbers in the spinner.We need to find the probability of a number greater than 10.The probability will be calculated as:-
Total numbers = 8
Numbers greater then 10 are = 13 , 16 , 22 , 42 = 4
Probability = 4 / 8 = 1 / 2
Therefore the probability you spin something larger than 10 will be 1 / 2.
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