The farmer should purchase 2 bags of soil for his farm.
What is Area of rectangle?Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.
The shape of the farm, according to the picture is a parallelogram. the total area can be calculated as follows:
Area = b X h
where
b = base
h = height
base = 6.5 + 2.5 = 9.0 yards
height = 6 yards
Area = 6 × 9 = 54 square yards.
40 square yards requires 1 bag of soil .
54 square yards will require ?
cross multiply
Bags required = 54 / 40 = 1.35 bag
Thus, the farmer will require 2 bags of soil for his farm.
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Large eggs weigh 1/1/2 pounds per dozen. Dawn bought eight large eggs. How much did the eggs weigh
Answer:
12
Step-by-step explanation:
1.5 is 1 1/2 in decimal form
1.5×8=12
A pattern has 38 black squares to every 24 red squares. What is the ratio of black squares to red squares?
Step-by-step explanation:
the answer is 38/24 so the final answer is 19/12
Mirele needs to buy fencing to completely surround her backyard pool. How much fencing should she buy?
A pool has a length of 31.74 feet and a height of 14.85 feet.
Answer:
93.18 feet
Step-by-step explanation:
Length of backyard pool = 31.74 feet
Height of backyard pool = 14.85 feet
To find = Use the formula for the perimeter of a rectangular pool.
= 2 ( length + height )
Length of fencing bought by Mirele:
2 ( 31.74 + 14.85 ) = 2 ( 46.59 ) = 93.18 feet
Help asap !………………………
Answer:
c
Step-by-step explanation:
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The May bank statement for Rental shows a balance of $6,000, but the balance per books shows a cash balance of $8,000. Other information includes: 1. A check for $190 to pay the electric bill was recorded on the books as $10. 2. Included on the bank statement was a note collected by the bank for $450 plus interest of $30. 3. Checks outstanding totaled $270. 4. Bank service charges were $60. 5. Deposits in transit were $2,510.
The adjusted cash Balance is $8060 .
What is Bank Balance ?The amount of money in a person's account at any given time is the Bank Balance of that person's account.
Unadjusted bank balance 6000
Difference in the electricity bill -180
Add: Deposit in transit 2510
Less: Outstanding Checks -270
Adjusted cash balance 8060
So answer is a) $8060
Therefore the adjusted cash Balance is $8060 .
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what is the probability that s+d>3 and s.d>3? write your answer as a decimal rounded to hundreth place
The probability that s+d > 3 and sd > 3 is 0.03.
SolutionPlot the inequalities
The region -5 ≤ s,d ≤ 5 is the square shaded in grey.
The region s + d > 3 is the region Q shaded to the right of the straight line.
The region sd > 3 is the region R shaded to the right of the curve d = 3/s.
Find the intersection of the three regions
From the figure, the region satisfying all the above three inequalities is the region to the left of the curve d = 3/s, bounded by the square region, i.e. the region R.
Probability of region R
The required probability is the Geometric probability of the intersection region R. It is calculated as
P(R) = ar(region R) / ar(square region P).
Calculate the areas of the regions
ar(region R) = area of the rectangle to the right in the first quadrant formed by dropping a vertical from point F - area under the curve d = 3/s in the first quadrant
[tex]\[\Rightarrow \;\; \mathrm{ar(\mathbf{R}) =} \int_{3/5}^5\frac{3}{s}ds = 25-3-3\ln\frac{25}{3} = 15.64.\][/tex]
ar(region P) = 25 × 25 = 625.
Calculate P(R)
The probability of the region R, P(R) = 15.64 / 625 = 0.025.
Rounding it to the hundredth place of decimal, P(R) = 0.03.
The probability that s+d >3 and sd>3, where -5 < s,d < 5, is 0.03.
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Disclaimer: The question was incomplete. Please find the full content below.
What is the probability that s + d > 3 and sd > 3, where -5 ≤ s,d ≤5? Write your answer as a decimal rounded to the hundredth place.
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SUPER URGENT AND EASY FOR MOST- 30 PTS
factorise
10x + 300
Answer:
10(x + 30)
Step-by-step explanation:
10x + 300
Both terms have 10 in common, so you can factor out 10.
10x + 300 = 10(x + 30)
What is the multiplicative rate of change between 10,50 and 250
Answer:D
Step-by-step explanation:
Find the range and standard deviation of the set of data.
210, 213, 216, 219, 222, 225, 228
Answer:
range = 18 and SD = 6
Step-by-step explanation:
range = max - min
= 228 - 210
= 18
FOR STANDARD DEVIATION * USE A SCIENTIFIC CALCULATOR THEY WON'T PENALIZE YOU*
follow these steps:
1. press mode then STAT
2. then press 1-VAR
3. put all the numbers on the table in ascending order
4 after press AC
5. press shift then 1
6. you will see many things but we are only interested in standard deviation, press *Var*
7. then select the standard deviation sign and press the equal sign
solve for a
(log(a-6)^2 =log10
Answer:
It is 98. Just look down for the explanation↓:
Step-by-step explanation:
Log 10 (x + 2) = 2
So, the Inverse log is:
10^2 = x + 2
100 = x + 2
98 = x
1. Draw an appropriate Venn diagram to depict each of the following sets. U = The set of integers. A = The set of even integers. B = The set of odd integers. C = The set of multiples of 3. D= The set of prime numbers. 1. Draw an appropriate Venn diagram to depict each of the following sets . U = The set of integers . A = The set of even integers . B = The set of odd integers . C = The set of multiples of 3 . D= The set of prime numbers .
The attached diagram represents the Venn diagram of the sets
How to draw the Venn diagram?The sets are given as:
The universal set, U = The set of integers. A = The set of even integers. B = The set of odd integers. C = The set of multiples of 3. D= The set of prime numbersFrom the above representation, we have the following highlights:
Set A and set B will not intersect, because no number can be even and oddSet C and set D will intersect set A because they have common elements 6 and 2, respectivelySet C and set D will intersect set B because they have common elements 3 and 3, respectivelyUsing the above highlights, we can now draw the Venn diagram
See attachment for the Venn diagram
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X+24=35 how to solve this
Answer:
X = 11
Step-by-step explanation:
Simplifying
X + 24 = 35
Reorder the terms:
24 + X = 35
Solving
24 + X = 35
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + X = 35 + -24
Combine like terms: 24 + -24 = 0
0 + X = 35 + -24
X = 35 + -24
Combine like terms: 35 + -24 = 11
X = 11
Simplifying
X = 11
Answer:
x+24=35
then collect like terms together, which means "x" terms in one side and numbers in one side:
x=35-(+24)
we need to change the signs when ever we change its place, like changing from one side to another
x=35-24
x=11. ✓
How much for $100 invested in 6% interest compounded monthly be worse after 20 years
Answer:
$331.02
Step-by-step explanation:
compound interest formula
A = P ( 1 + r/n)^nt
P = principal amount
r = rate decimal
n = number of times interest is compounded
t = time
A = 100 * (1 + .06/12)^(12*20)
A = 331.02
Solvex + 5-6 = 7.
OA. x = -8 and x = -18
OB. x = 8 and x = -8
C. x = -8 and x = 18
OD. x = 8 and x = -18
The sum of the digits of a two-digit number is 14. When the digits are
reversed, the new number is 36 less than the original number. Find the
original number. Check your answer.
O The original number is 59.
O The original number is 68.
O The original number is 86.
O The original number is 95
First, lets figure out which ones add up to 14
5+9=14
6+8=14
8+6=14
9+5=14
They all add up to 14.
Next, reverse the digits and see if it is 36 less than the original number
95 is not 36 less than 59
86 is not 36 less than 68
68 is only 18 less than 86
59 is 36 less than 95
So, the answer would be 95.
What is the difference when estimating?
Answer:
1 1/6 = 1
5/9 = 45/99
Step-by-step explanation:
When rounding, make sure that anything that's above half will be rounded up if anything is below half it will be rounded down.
e.g. Round to the nearest half or whole
1. 5/9
Answer: 45/99
Why: 5/9 is 4 units to 9 while 5/9 is half of a unit closer to 45/99
2. 8/10
Answer: 10/10 or 1
Why: 8/10 is 2 units from 10 while 8/10 is 3 units from 5
Hopefully this helped!
solve the following inequality, algebra 1.
will give brainliest answer !!
Answer:
See below
Step-by-step explanation:
r/6 <-6 multiply both sides by 6 to get
r < - 36
or 4r+2 > 18 subtract 2 from both sides of the equation
4r > 16 divide both sides by 4
r > 4
Step-by-step explanation:
[tex] \frac{r}{6} < - 6 \: \: \: \: \: \: \: \: \: \: ... 1[/tex]
[tex]4r + 2 > 18 \: \: \: \: \: \: \: \: \: \: ...2[/tex]
Solving for inequality 1:
[tex] \frac{r}{6} < - 6 \: \: \: \: \: \: \: \: \: \: ... 1[/tex]Multiplying both sides by 6:
6 * 1/6 r < -6*6r < -36Hence the solution is r < -36
Solving for inequality 2:
4r + 2 > 18Subtract 2 from both sides:
4r + 2 - 2 > 18 - 24r > 16Divide both sides by 4:
[tex] \cfrac{4r}{4} > \cfrac{16}{4} [/tex][tex]r > 4[/tex]Hence the answer is r > 4.
Graph the linear function whose equation is y-2=-(x+1) by following these steps:
y
X
y
4
Step 1: Identify the slope.
slope = =
Answer:
slope == -1
Step-by-step explanation:
y-2 = -(x+1)
; y-2 = -x-1 expanding the bracket
; y = -x-1+2
; y = 1-x
hence slope equals -1
The inverse of the function f(x) =
f(x) = x + 10 is shown.
h(x) = 2x-0
What is the missing value?
0 1
05
O 10
O 20
Answer: 20
Step-by-step explanation:
Let [tex]f(y)=x[/tex]
[tex]x=\frac{1}{2}y+10\\\\x-10=\frac{1}{2}y\\\\y=h(x)=2x-\boxed{20}[/tex]
In ΔABC, m < C = 50* , a = 14 and b = 15. Find the length of side c, to the nearest integer.
The length of the side c, to the nearest integer is 12.
What is a cosine law?Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.
u² = s² + t² - 2(s)(t)·cos U
In ΔABC, m < C = 50* , a = 14 and b = 15.
We can solve for the length of side a to the nearest whole number using the Laws of Cosines
c² = b² + a²- 2ba CosC
Solving for the value of a, we have:
c² = 15² + 14²- 2(15)(14)cos50°
c² = 225 + 196 - 269.97
c² = 151.029
c = 12.28
Hence, The length of the side c, to the nearest integer is 12.
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plot the point A(-1,1) B(-3,2) and C (-1,2) in a cartesian plane name the figure so obtained by join A , B and C Also find is area
The area of the right angle triangle is 1 square unit and the figure is a right angle triangle after plotting the points on a cartesian plane.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have three point A(-1,1) B(-3,2) and C (-1,2) in a cartesian plan.
After plotting the points on the cartesian plane.
We will get a right-angle triangle,
The area of the right angle triangle = (1/2)height×base
Base length from the graph = 1 units
The height of the triangle = 2 units
= (1/2)(2)(1)
= 1 square units
Thus, the area of the right angle triangle is 1 square unit and the figure is a right angle triangle after plotting the points on a cartesian plane.
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write a quadratic function in standard form with zeros -5 and 0
Answer:
(x^2+5x)
Step-by-step explanation:
What are the rational roots of ? x = 1, x = -1 x = 1, x = 0 x = 1, x = 2 This polynomial has no rational roots.
find the perimeter of the triangle
Answer:
x²+14x+11
Step-by-step explanation:
Find the perimeter of the triangle.
The perimeter is:
add them
-x²+9x
2x²+6
5x+5
x²+14x+11
quizlet
Describe a scenario where the function value exists at x=c, but the limit does not exist.
The scenario can be described using a piecewise function like:
f(x) = 1/x if x < c.
f(x) = x if x = c
f(x) = 1/(x + 73) if x > c.
When the value exists but the limit does not?
Remember that the limit only exists if the limit from left and the limit from the right give the same value.
Then, we can just define a piecewise function of the form:
f(x) = 1/x if x < c.
f(x) = x if x = c
f(x) = 1/(x + 73) if x > c.
Clearly, this is not a continuous function.
Notice that:
[tex]f(c) = c.\\\\ \lim_{x \to c^{-}} f(x) = 1/c\\\\ \lim_{x \to c^{+}} f(x) = 1/(c + 73)[/tex]
So the limits from left and right are different, then:
[tex]\lim_{x \to c^{}} f(x)[/tex]
Does not exist.
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What is the a-value of the graph?
Timothy is an hourly employee and he can work maximum of 40 hours in a week. If the weekly salary depends on the number of hours (h) worked, what will be the domain of the function in this context?
a. h < 40, h ∈ Z
b. h ≥ 0, h ∈ R
c. 0 ≤ h ≤ 40, h ∈ R
d. h ≤ 40, h ∈ R
Answer:
C
Step-by-step explanation:
0 ≤ h ≤ 40, h ∈ R
Hope this helps :)
please help! write D u E and D n E using interval notation.
Part 1
[tex]D \cup E[/tex] denotes the union of the two sets (in other words, all the elements in both sets).
This means it is [tex](-\infty, 4) \cup [7, \infty)[/tex]
Part 2
[tex]D \cap E[/tex] denotes the elements shared between both sets.
This means the answer is [tex](4, 7][/tex]
What is the solution to this system of equations
3x+y=17
X+2y=49
Answer:
x=−3 and y=26
Step-by-step explanation:
Let's solve your system by substitution.
3x+y=17;x+2y=49
Step: Solve 3x+y=17 for y:
3x+y=17
3x+y+−3x=17+−3x(Add -3x to both sides)
y=−3x+17
Step: Substitute−3x+17 for y in x+2y=49:
x+2y=49
x+2(−3x+17)=49
−5x+34=49(Simplify both sides of the equation)
−5x+34+−34=49+−34(Add -34 to both sides)
−5x=15
-5x/5 = 15/-5 (Divide both sides by -5)
x=−3
Step: Substitute −3 for x in y=−3x+17:
y=−3x+17
y=(−3)(−3)+17
y=26(Simplify both sides of the equation)
Answer:
x=−3 and y=26
An empty rectangular tank was 25 cm long, 23 cm wide and 18 cm high. Ravi filled 5 identical bottles with water to the brim. Then he poured all the water from the 5 bottles into the empty tank and the tank became What was the capacity of each bottle? height of water, = = 1/2 X 18 3 23 cm Co 25 cm 3 full. 18 cm 2 An empty rectangular tank was 25 cm long , 23 cm wide and 18 cm high . Ravi filled 5 identical bottles with water to the brim . Then he poured all the water from the 5 bottles into the empty tank and the tank became What was the capacity of each bottle ? height of water , = = 1/2 X 18 3 23 cm Co 25 cm 3 full . 18 cm