Answer: 85/12 fewer bushels per acre
Step-by-step explanation:
Hi, to answer this question we have to write an expression with the information given and solve it:
We simply have to divide the total loss (21 1/4) by the number of acres (3):
Mathematically speaking:
21 1/4 ÷3 = (21(4) +1)/4 ÷3 = 85/4 ÷ 3= 85/12 fewer bushels per acre
Feel free to ask for more if needed or if you did not understand something
The average loss per acre is [tex]7\frac{1}{12}[/tex]
The average loss per acre = difference in bushels harvested last year and this year ÷ total number of acres
[tex]21\frac{1}{4}[/tex] ÷ 3
In order to solve this question, the mixed number has to be changed to an improper fraction.
Steps to take :
1. Multiply the whole number by the denominator ( 4 x 21 = 84)
2. Add the numerator to the answer gotten in the previous step (84 + 1 = 85)
3. divide the number gotten in the previous step by the denominator (85/4)
[tex]\frac{85}{4}[/tex] ÷ 3
= [tex]\frac{85}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{85}{12}[/tex] = [tex]7\frac{1}{12}[/tex]
A similar question has been solved here: https://brainly.com/question/580268?referrer=searchResults
HOW PLEASE HELP SORRYYYYY FOR ASKING
Answer:
-7 , -5
Step-by-step explanation:
use the AC method, find two numbers that multiply to 35 and add to 12. those numbers are 7 and 5. then u have (m+7)(m+5), so m = -7,-5
The data set shows the admission prices at several amusement parks. $25, $24, $12, $25, $19, $27. Find the mean absolute deviation of the admission prices
Answer:
4.33333333
you first have to add all the numbers together then divide by how many numbers there are (6) then subtract the sum of all 6 number from their original number , then add all those then divide by 6 again . (sorry if i did the math wrong you can check it)
Points A, B , and C are collinear. Point B is between A and C . Solve for x given the following. AC=22 AB=x+10 BC=x+14
Answer:
x = - 1
Step-by-step explanation:
The points A, B and C are collinear meaning they all lie on a line.
Thus
AB + BC = AC , substitute values
x + 10 + x + 14 = 22, that is
2x + 24 = 22 ( subtract 24 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
1. £500 is deposited in a bank paying 2% simple interest per annum. How much interest will have been paid after 2 years?
2. £500 is deposited in a bank paying 1% simple interest per annum. How much interest will have been paid after 5 years?
3. £1500 is deposited in a bank paying 6.25% simple interest per annum. How much interest will have been paid after 3 years?
4.£3600 is deposited in a bank paying 4% simple interest per annum. How much interest will have been paid after 4 years?
5.£4300 is deposited in a bank paying 5.75% simple interest per annum. How much interest will have been paid after 6 years?
6.£4000 is deposited in a bank paying 9.5% simple interest per annum. How much interest will have been paid after 8 years?
7.£3600 is deposited in a bank paying 14.75% simple interest per annum. How much interest will have been paid after 14 years?
The probability of a biased coin landing on heads is 2/7 complete the tree diagram
Answer:
The numbers needed to fill each box are in the image attached
Step-by-step explanation:
The probability of the coin landing on heads is 2/7, so the probability of it landing on tails is 1 - 2/7 = 5/7
The probability of landing heads 2 times is:
P = (2/7) * (2/7) = 4/49
The probability of landing heads and then tails is:
P = (2/7) * (5/7) = 10/49
The probability of landing tails and then heads is:
P = (5/7) * (2/7) = 10/49
The probability of landing tails 2 times is:
P = (5/7) * (5/7) = 25/49
The numbers needed to fill each box are in the image attached.
Step-by-step:
The first flip numbers will always add up to 1 so you do
1 - 2/7= 5/7
now it gets easy...
The second flip head will be 2/7 because it is a biased dice and the second flip tail will be 5/7
This also applies for the bottom 2: 2/7 head, 5/7 tails
hope this helped :)
1
The measure of Z1 =
Answer:
∠1 = 90°
Step-by-step explanation:
The angle inscribed in a semicircle is always 90°
∠1 = 90°
(Brainliest will be given) Determine which of the following descriptions is accurate.
Answer:
B the size of the circle is a function of the height of the rectangle
Step-by-step explanation:
Please tell me if it is right and give me thanks and brainleist only if right
How much money did bianca have?
Answer:
The answer is A. Bianca had $8.
Step-by-step explanation:
I really hope this helps.
find the midpoint of A and b where A has coordinates (2,7) and B has coordinates (6.3)
Answer:
Midpoint of A and B is (4,5).
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on the coordinate plane
then midpoint is given by (x1+x2)/2 , (y1+y2)/2
_____________________________________
here two points are (2,7) and (6,3)
substituting this value in (x1+x2)/2 , (y1+y2)/2
we have,
midpoint (2+6)/2, (7+3)/2
= 8/2 , 10/2 = 4,5
Midpoint of A and B is (4,5).
solve tan x - cot x = -2cos 2x cosec 2x
Answer:
Step-by-step explanation:
tan x-cot x
[tex]=\frac{sin~x}{cos~x} -\frac{cos~x}{sin ~x} \\=\frac{sin^2x-cos^2 x}{sin ~x~cos~x} \\=\frac{-2(cos^2x-sin^2x)}{2 sin ~x~cos~x} \\=\frac{-2 cos~2x}{sin~2x} \\=-2 cos ~2x~cosec~2x[/tex]
attachment Mathswatchhhh!!!!!!!!!
Answer:
(a) draw the graph using these coordinates :
(0,-1) and (3,1)
(b) x = 3
A runner moves west with an initial velocity of 4 m/s. She accelerates 3 m/s2 for 30 seconds. The runner’s final velocity is m/s.
Answer:94m/s
Step-by-step explanation:
Using the formula:
v=u+at
Where v= final velocity (the unknown)
u= initial velocity (4m/s)
a= acceleration (3m/s)
t= time (30seconds)
v=4+(3*30)
= 4+90
= 94m/s
Considere as funções com domínio dos números reais dadas por f(x) = -x + 5 e g(x) = 2x + 2 Calcule o valor de : F(0) + g(1) ________ F(2)
A 3.
B4.
C9.
D5.
E 7
Answer:
C) 9
f(0) +g(1) = 5 +4 =9
F(2) = -2 + 5 =3
Step-by-step explanation:
Given f(x) = -x + 5
g(x) = 2 x + 2
Put x=0 in f(x) = -x +5
f(0) = -0 +5 =5
g(x) = 2 x + 2
Put x= 1
g(1) = 2(1) +2
g(1) = 4
f(0) +g(1) = 5 +4 =9
b) f(x) = -x +5
put x = 2
F(2) = -2 + 5 =3
Please answer correctly !!!! Will mark brainliest answer !!!!!!!!!
Answer:
D
Step-by-step explanation:
[tex](4x-7)^2+16=40x-70 \\\\(p)^2+16=10(p) \\\\p^2-10p+16=0[/tex]
Hope this helps!
1:750 scale model of the Sydney Opera House after a trip to Australia. The length of the model is 24.4 centimetrers. Find the actual length x (in meters) of the Sydney Opera House.
Answer:
183 meters
Step-by-step explanation:
A 1:750 scale model means that each cm on the model corresponds to 750 cm of the actual Sydney Opera House. If the model is 24.4 centimeters long, the actual Opera House has a length of:
[tex]x = 24.4*750\\x=18,300\ cm\\x=183\ m[/tex]
The actual length of the Sydney Opera House is 183 m.
What is the product of 7/9 and 1/4
Answer:
7/36
Step-by-step explanation:
7/9* 1/4
Multiply the numerator
7*1 = 7
9*4 = 36
Put the numerator over the denominator
7/36
Answer:
Brunliest plzStep-by-step explanation:
7/9 x 1/4 = 7/36
Please answer correctly !!!!!!!! Will
Mark brainliest !!!!!!!!!!!
Answer: Z²+ 9Z + 8
Step-by-step explanation:
You take the two z's and times them to get Z² then you do the Z times 1 to get 1Z then you do the Z times 8 to get 8Z then you take the 8 times 1 and get 8 so then you add the like terms. You add 1Z and 8Z and you get 9Z. The you put it in standard form to get Z²+9Z+8
How many numbers are in the list 1,4,7...........,2005, 2008? URGENT!
Answer:
670 numbers
Step-by-step explanation:
T1=1*3-2
T2=2*3-2
T3=3*3-2
...............
Tn=n*3-2
n*3-2=2008
n*3=2010
n=2010:3
n=670 (numbers)
Answer:
2005-1=2004 so there is 2004 numbers
every 3 numbers 1 is chosen
2004/3=670
670 numbers are in between
Hope this helps
Step-by-step explanation:
Which expression represents the number of feet that are in x yards?
A)
12x
B)
36x
C)
3x
D)
x
3
pLS Help will mark brainlyiest
Answer:
C) 3x
Step-by-step explanation:
There are three feet in a yard. Yards are represented by x in this problem and therefore the answer is 3x.
2x-4=-4x+6
What value of x makes the equation true
A x=5/3
B x=-5/3
C x=5
D x=-5
Answer: 5/3
6x = 10
x=10/6
x=5/3
Answer:
x = 5/3
Step-by-step explanation:
2x-4=-4x+6
Add 4x to each side
2x+4x-4=-4x+4x+6
6x -4 = 6
Add 4 to each side
6x -4 +4 = 6+4
6x = 10
Divide each side by 6
6x/6 = 10/6
x = 5/3
Subtract 4x4 + 2x² +5 from the sum of 2x4 - 4x2–3 and 3x4 - 3x² +9.
Answer:
x^4-9x²+1
Work:
A piece of rope measuring 4m is cut into 8 equal lengths. How long will each piece be?
Answer:
each piece will be half a metre long
Step-by-step explanation:
4m into cm is 400cm
400 divided by 8 is 50cm
in metres this would be 0.5m a.k.a half a metre
Which statement explains the relationship of sides BA and B'A' after rectangle BADC has been rotated 90° clockwise about the origin?
coordinate plane with rectangle ABCD at A (3,5), B (1,3), C (5,-1), and D (7,1)
Side B'A' has a slope of −1 and is perpendicular to side BA.
Side B'A' has a slope of 1 and is parallel to side BA.
Side B'A' has a slope of 1 and is perpendicular to side BA.
Side B'A' has a slope of −1 and is parallel to side BA.
Answer:
Numbering the options, we have;
1) Side B'A' has a slope of −1 and is perpendicular to side BA.
2) Side B'A' has a slope of 1 and is parallel to side BA.
3) Side B'A' has a slope of 1 and is perpendicular to side BA.
4) Side B'A' has a slope of −1 and is parallel to side BA.
The correct option is;
1) Side B'A' has a slope of -1 and is perpendicular to side BA
Step-by-step explanation:
The given coordinates are;
A(3, 5) B(1, 3), C(5, -1) and D(7, 1)
The slope of BA is found as follows;
[tex]Slope \, of BA= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} =\dfrac{3-5}{1-3}= \dfrac{-2}{-2} = 1[/tex]
Rotation of a line through 90 degrees gives
(x, y) will be (y, -x)
Therefore, the coordinates of A' = (5, -3)
The coordinates of B' = (3, -1)
Then the slope is given as follows;
[tex]Slope \, of \, B'A' =\dfrac{-1 -(-3)}{3-5}= \dfrac{2}{-2} = -1[/tex]
Therefore side B'A' has a slope of -1 and is perpendicular to side BA.
Option (4) will be the correct option.
Coordinates of the vertices of rectangle ABCD are,
A(3, 5), B(1, 3), C(5, -1) and D()Slope of a segment with endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the expression,
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of segment BA (m₁) = [tex]\frac{3-5}{1-3}[/tex] = 1
If a point (h, k) is rotated 90° clockwise about the origin, rule to be followed,
(h, k) → (-k, h)
Following this rule,
B(1, 3) → B'(-3, 1)
A(3, 5)→ A'(-5, 3)
Slope of segment B'A' (m₂) = [tex]\frac{1-3}{-3+5}=-1[/tex]
Expression representing two segments with slopes [tex]m_1[/tex] and [tex]m_2[/tex] to be perpendicular,
[tex]m_1\times m_2=-1[/tex]
Since, slopes of two segments BA and B'A' are (1) and (-1).
(1) × (-1) = -1
Therefore, both the segments BA and B'A' will be perpendicular.
Option (4) will be the answer.
Learn more,
https://brainly.com/question/16949200
plzz answer this question i will mark brainliest
Answer:
Step-by-step explanation:
line 1.
y=3
line 2.
x=-1.2
line 3.
x=3
line 4.
y=-2.6
length=3-(-1.2)=3+1.2=4.2
width=3-(-3)=3+3=6
area=4.2×6=25.2
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
359, 352, 345, ...
Find the 44th term.
Answer:
Submit Answer
attempt out of 2
(DELTAMATH VERSION)
Answer:
[tex]58[/tex]
Step-by-step explanation:
[tex]-7n+366[/tex]
[tex]-7(44)+366[/tex]
[tex]-308+366[/tex]
[tex]=58[/tex]
what is the coefficient in the expression
3(m*)4+5
A person places $72300 in an investment account earning an annual rate of 7.1%, compounded continuously. Using the formula V = Pe^rt, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 19 years.
Answer:
Step-by-step explanation:
Our P is 72300; our r is .071, e is Euler's number (a constant) and t is 19 years. Filling in:
[tex]V=72300e^{(.071)(19)}[/tex] and
[tex]V=72300e^{1.349[/tex] and
V = 72300(3.853570033) so
V = $278,613.11
PLEASE HELP ASAP the question is in the picture
can you please rotate the picture
In your own words what is a polygon
Answer:
A polygon is a plane figure with at least three straight sides and angles, and typically five or more.
Step-by-step explanation:
HELP FAST
√32 as a mixed radical
Answer:
[tex]4\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{32}= \\\\\sqrt{2\cdot 16}= \\\\\sqrt{2\cdot 4^2}= \\\\4\sqrt{2}[/tex]
Hope this helps!
Answer:
[tex]4\sqrt{2} \\[/tex]
Step-by-step explanation:
4 times the square root of 2 is equivalent to the square root of 32.
