Answer:
162 <= 2.95x + 3.50y
Step-by-step explanation:
A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. In another area, he used the entire
length of the same rope to lay out a second flower bed in the shape of a circle. (Drawings not to scale.)
Exhit
Perimeter 80 feet
Circumference - 80 feet
What is the area of the circle?
A 125.6 ft2
B. 2,041.8 ft2
c. 215.2 ft
D. 506.5 ft2
The area of the circle with a perimeter of 80 feet is 509.31 square feet.
The entire length of the rope = 80 feet
So, the perimeter of the flower bed = 80 feet
Since the flower bed is in a square shape
So, the perimeter of the square = The entire length of the rope
The perimeter of the square = 80 feet
Suppose the side of the square is a
So, 4a = 80
a =20
So, the area of the square = 20² = 400 square feet.
What is the area of a circle?The area of a circle with a radius r is πr².
Similarly, when the flower bed is in a circular shape
The perimeter of the circle = 80
Suppose the radius of the circle is r
So, [tex]2\pi r =80\\\\[/tex]
[tex]r= 12.73 feet[/tex]
Area of circle = [tex]\pi r^{2}[/tex]
Area of circle = 509.31 square feet.
Therefore, the area of the circle with a perimeter of 80 feet is 509.31 square feet.
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the estimated world population in 2011 was 7 x 10^9. Of the total population, 682 million of those people were left handed. Approximately what percentage of the world population is left handed according to the 2011 estimation
Answer:
9.74%Step-by-step explanation:
Total population
7 × 10^9Let handed population
682 000000Percentage of left handed population
100%×682000000 / (7×10^9) =6.82×10^10/ (7 × 10^9) % =68.2/7 % = 9.74%Answer:
9.7 %Step-by-step explanation:
estimated world population in 2011 = 7x10⁹
left handed = 682,000,000
find:
Approximately what percentage of the world population is left handed according to the 2011 estimation
percentage = left handed population
total population
= 682,000,000
7,000,000,000
= 0.682
7.0
= 9.7 %
A recycling center was offering cash for different types of recyclables. For each pound of copper they paid $1.48, for each pound of aluminum they paid $1.55, and for each pound of plastic they paid $0.30. Jesse took in 50 pounds of copper, 15 pounds of aluminum and 10 pounds of plastic. How much money was he paid for his recyclables?
Answer:
100.25
Step-by-step explanation:
You multiply the amount the copper cost by however many pounds of it he brought in you do this to the others as well but of course theres different numbers for example it would be like this.
Copper=1.48x50=$74.00
Aluminum=1.55x15=$23.25
Plastic=0.30x10=$3.00
Then add those numbers together to get the amount of money he made off of his recyclables. Which the number you would get is 100.25 Hope this helps!!
Answer:
100.25
Step-by-step explanation:
You multiply the amount the copper cost by however many pounds of it he brought in you do this to the others as well but of course theres different numbers for example it would be like this.
Copper=1.48x50=$74.00
Aluminum=1.55x15=$23.25
Plastic=0.30x10=$3.00
Then add those numbers together to get the amount of money he made off of his recyclables. Which the number you would get is 100.25 Hope this helps!!
2x-y+7whenx= -5andy-2.
Answer:
-1
Step-by-step explanation:
2x-y+7
Let x = -5 and y = -2
2(-5) -(-2) +7
-10 +2 +7
-10 +9
-1
X + 7y = 49
Enter your answer a
Enter your answer as a order pair
Answer:
x-intercept(s): ( 49 , 0 )
y-intercept(s): ( 0 , 7 )
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
10 POINTS
Find the area of each circle. Round to the nearest tenth.
Answer:
were ate circles I'm suppose to use
Step-by-step explanation:
where is the circles
which sentence describes is mistake pls answer?!?!?
Answer:
I think the answer is B
Step-by-step explanation:
he would need to factor 4x² in order to get his answer not just 4x
Which of the following equations is true? 42=14−2 42=−4−2 42−4−2= −1 42+4−2= 0
Answer:
b. your welcome
at school 2 out of every 5 student in the 6th grade are members of the band. What will be the ratio of the number of 6th graders that are not members of the band
Answer:
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
I need help .. ASAP .
Answer:
x = 12 degrees
Step-by-step explanation:
(9x-4)+(6x+4)=180 Linear Pair Theorem
15x=180 Simplified
180/15 = x Division Property of Equality
x = 12 degrees Simplified
Hope this helped! ;)
8x + 4y= 12
2x+ y= 3
Scientists sprayed a cold virus in the noses of 153 people. After five days, 135 people became infected with the cold virus. What percentage of the people became infected? Round to the nearest percent.
PLS I NEED HELP II WILL MARK BRAINLIST Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A48%
B92%
C88%
D73%
Answer:
88% of people were infected by the cold virus
Step-by-step explanation:
153/135 multiplied by 100 will give the answer to be 88.235%. round to nearest percent is 88%
In an hour, the pastry-cook made of one order.
How many orders does he make in 3 hours?
Answer:
3?
Step-by-step explanation:
It would be 3 since he took 1 hour in one order it would take another 3 hours to complete 3 other orders. Sorry if I'm wrong. :)
Converting 14 in to centimeters
Answer:
35.56
Step-by-step explanation:
multiply the length value by 2.54
Answer:
35.56 cm.
Step-by-step explanation:
multiply the length value (the number) by 2.54
Dave buys a baseball for $15 plus an 8% tax. Mel buys a football for $20 plus an 8% tax. What is the difference in the amount Dave and Mel paid, including tax? Round your answer to the nearest cent.
Answer: $5.40
Step-by-step explanation:
First we will find the tax amount for Dave by multiplying 8% by 15.
8% * 15 = 1.2
Now add it to the original price of the baseball which is 15.
15 + 1.2= 16.20 This means Dave paid $16.20 in total.
Now find the tax amount for Mel.
20 * 8% = 1.6
Add 1.6 to the original price which is $20.
1.6 + 20 = 21.60
Mel also paid $21.60 in total.
To find the difference we need to subtract the lowest amount from the highest amount.
21.60 - 16.20 = 5.40
Select all pairs of vertical angles in the following image.
8x^2 - 48x = -104. Write the equation so that a = 1: x^2 + _____ x = _____
Answer:
4 x = 6
Step-by-step explanation:
4x = - 6
I don’t understand this .
Answer:
C
Step-by-step explanation:
Archie is taking a course in probability theory. Discussion sessions with the class TA (teaching assistant) conflict with Archie's trips to the beach. Archie has to decide between attending TA sessions, which might help him do better in the probability course, and going to the beach.
Archie learns that 93% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 11% of past students received a grade higher than B. After some thought, Archie decides to attend the TA sessions. Not all of his classmates share his decision; in fact, only 4 out of every 18 of his classmates attend discussion sessions with the TA. Compute the probability that Archie will receive a grade higher than a B in the course.
Answer:
The probability that Archie will receive a grade higher than a B in the course is 0.2164.
Step-by-step explanation:
We are given that Archie learns that 93% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 11% of past students received a grade higher than B.
Let B = event that the student received a grade higher than B.
and T = event that the student discussion sessions with the TA.
So, P(B) = 0.11 and P(T) = [tex]\frac{4}{18}[/tex] = 0.22
Also, the probability that the students who did not attend TA sessions received a grade of B or below in the course = P(B'/T') = P(not B/not T) = 0.92
Now, we have to find the probability that Archie will receive a grade higher than a B in the course given he attended the discussion sessions with the TA = P(B/T)
As we know that the conditional probability formula is given by;
P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]
Now, as it is given that P(not B/not T) = 0.92
So, [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{\text{P(not T)}} =0.92[/tex]
[tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - \text{P(T)}} =0.92[/tex]
[tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - 0.22}} =0.92[/tex]
[tex]{\text{P}(\text{not B} \bigcap \text{not T})} =0.92\times 0.78[/tex]
[tex]{\text{P}(\text{not B} \bigcap \text{not T})}[/tex] = 0.7176
Also, [tex]{\text{P}(\text{ B} \bigcup \text{ T})}= 1 - {\text{P}(\text{not B} \bigcap \text{not T})}[/tex]
[tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] = 1 - 0.7176 = 0.2824
Now, the formula for [tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] is given by;
[tex]{\text{P}(\text{ B} \bigcup \text{ T})} = \text{P(B)} + \text{P(T)} - {\text{P}(\text{ B} \bigcap \text{ T})}[/tex]
0.2824 = 0.11 + 0.22 - [tex]\text{P(B} \bigcap \text{T})[/tex]
[tex]\text{P(B} \bigcap \text{T})[/tex] = 0.33 - 0.2824 = 0.0476
Now, the required probability P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]
= [tex]\frac{0.0476}{0.22}[/tex] = 0.2164
Hence, the probability that Archie will receive a grade higher than a B in the course is 0.2164.
The art club had an election to select a president. 80 out of the 100 members of the art club voted in the election. What percentage of the members voted?
what is 8.341 x 10 to the 5th power
Answer:
834100
Step-by-step explanation:
1. Move the decimal FIVE times to the right
8.341 ----> 834100.
2. Solution
834100
If a quadratic function has the rule
f(x) = (x – h)? + k,
what will cause a horizontal translation?
A, changing the value of h
B, changing the value of k
A. Changing the value of h will cause horizontal translation.
What is transformation ?Transformations are of many types like translation, rotation, reflection and dilation.These transformations are of two types rigid transformation where the shape and size of image and pre image remains same and another one is non-rigid transformation in which size changes but shape of doesn't change.
We know that a quadratic function can be represented by a 2D co ordinate which has x axis and y axis.
Given a function f(X) = ( x - h) + k will cause horizontal transformation of h units to the left.
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Solve for y
5/8y = -1
Answer:
y = -8/5
Step-by-step explanation:
Step 1: Write equation
5/8y = -1
Step 2: Solve for y
Divide both sides by 5/8: y = -8/5Step 3: Check
Plug in y to verify it's a solution.
Substitute: 5/8(-8/5) = -1Multiply: -40/40 = -1Divide: -1 = -1Parallelogram JKLM has angle measures J(2 x +9) and M(6 x -1) determine the measure of angle k
Answer:
Step-by-step explanation:
The sum of opposite angle and sides of a parallelogram is 180 . If a parallelogram JKLM has angle measures J(2 x +9) and M(6 x -1), then <J + < M = 180
Substitute:
2 x +9+6x-1 = 180
collect like terms;
2x+6x+9-1 = 180
8x+8 = 180
8x = 180-8
8x = 172
x = 172/8
x = 21.8°
For the shape to be a quadrilateral, then the measure of angle k must 128 degrees
For quadrilateral PQRS to be an actual quadrilateral, then:
[tex]K = M[/tex] --- opposite angles of quadrilateral[tex]J + M= 180[/tex] --- adjacent angles of quadrilateral[tex]J + M = 180[/tex] implies that:
[tex]2x + 9 + 6x -1 = 180[/tex]
Collect like terms
[tex]2x + 6x = 180 -9 +1[/tex]
[tex]8x = 172[/tex]
Divide both sides by 8
[tex]x = 21.5[/tex]
We have:
[tex]K = M[/tex]
This becomes
[tex]K = 6x -1[/tex]
Substitute 21.5 for x
[tex]K = 6\times 21.5 -1[/tex]
[tex]K = 129 -1[/tex]
Subtract 1 from 129
[tex]K = 128[/tex]
Hence, the measure of angle K must be 128 degrees
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The sum of a number and 3 is 8
Answer:
5
Step-by-step explanation:
Determine the length of x and y. Round your answer to the nearest tenth, if necessary.
X =
Y =
What is answer to 3 divided by eleven twelveths
Answer:
Step-by-step explanation:
The answer is 3.27
solve for x 5x-4_>12 and 12x+5<_-4
Answer:fgh
Step-by-step explanation:
Select the correct answer. What is the product of and ? A. 9/5 B. 2 C.175/30 D/29
Step-by-step explanation:
the answer is c i took the test btw
What is the product of -3 1/3 and -8 7/10
C.175/30
51.7 is 400% of what number
Answer:
51.7 / 4 = 12.925
Step-by-step explanation: