Answer:
162
Step-by-step explanation:
I started with the left I did it like a rectangle 4×12=48
because both sides are like that 48×2=96 for the middle 12-9=3 I did that because I needed to know the sides of this new rectangle so now 3×6=18 now we need to add them together to get the area 48+96+18=162
It's been a while, since I've done this, I'm not completely sure
Help please. Order from greatest (left) to least.
Answer:
[tex]\pi +3 >2\pi -\sqrt{9}>\frac{\pi }{2}[/tex]
Step-by-step explanation:
[tex]Lets\ take\ \pi 's\ approximate\ value\ as\ 3.14159\\Hence,\\ \pi +3\\=3.14159+3\\=6.14159\\2\pi -\sqrt{9} \\=2*3.14159-3\\=6.28318-3\\=3.28318\\\frac{\pi }{2} \\=1.570795\\[/tex]
[tex]As\ we\ can\ see\ that,\\6.14159>3.28318>1.570795,\\Their\ corresponding\ values\ are\ also\ in\ the same\ order:\\\pi +3 >2\pi -\sqrt{9}>\frac{\pi }{2}[/tex]
ASAP PLS HELP ME WITH THIS PLZZZ
Answer:
84
Step-by-step explanation:
6•11 for rectangle and 1/2 6•6 for triangle add and you get 66+18=84
Answer:
84
Step-by-step explanation:
find the area of the triangle first
= 1/2 * 6 * 6
=18 in^2
rectangle
= L * W
= 6*11
= 66 in^2
therefore, 66+18
=84
The value of y varies directly with the value of x. When y = 24, x = 4. What is the value of x when y = 48?
Answer:
24/6=4
48/6= 8
so x=8
Step-by-step explanation:
A principle of 5,350 is placed in an account that earns 3.5% interest. If the interest is compounded annually, how much money will be in the account at the end of 5 years?
Answer:
6,354.12
Step-by-step explanation:
What is the slope of the segment with end points at (300, -2) and (500,6)
Answer:
The answer is A: 1/25
At King Kong High School, the average weight of senior boys is 168 lbs. with a standard deviation of 7 lbs. The average weight for senior girls is 117 lbs. with a standard deviation of 5 lbs. Suppose a new distribution is created by adding the boys' weights and the girls' weights together. Assuming that the weights for boys and girls are independent, which of the following is true?
I. The mean of this new distribution is 168 + 117.
II. The standard deviation of this new distribution is 5+ 7.
III. The variance of this new distribution is 52 + 72
A) I only
B) II only
C) I and II only
D) I and III only
E) I, II, and III
Answer:
I and III only. Got it correct on Stats test.
Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.
Given that, at King Kong High School, the average weight of senior boys is 168 lbs.
What is standard deviation?Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.
Here, a new distribution is created by adding the boys' weights and the girls' weights together.
So, the new average weight of senior boys and girls
= 168+117
= 285 lbs
The new standard deviation is 5+7
= 12 lbs
Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.
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1-Rodrigo spent $1.47 to buy 3 red balloons. The balloons all had the same price. How much did each balloon cost?
Answer:49 cents
Step-by-step explanation:
U have to divide the 1.47 into 3
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 95,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 4% each year. How many total fish did the company catch over the first 10 years, to the nearest whole number?
Answer/step-by-step explanation:
We know that during their first year, the company caught 95,000 fish, and the amount of fish caught decreased 4% each year. First, let's calculate 4% of 95,000, by doing the equation: 95,000 x 0.04 = 3,800
So, each year, the company catches 3,800 less fish.
In order to find out how many fish the company caught in ten years, we need to multiply 3,800 x 10 and then subtract it from 95,000. Then we need to multiply that number by 10.
3,800 x 10 = 38,000
95,000 - 38,000 = 57,000 x 10 = 570,000.
Therefore, the company caught a total of 57,000 fish in the first ten years.
Hope this helps! :D
Find the value of the variable p and YZ if Y is between X and Z, XY=3p, YZ=2p-1, and XZ=6p-6
Using the segment addition postulate, the value of p = 5, and YZ = 9 units.
How to Apply the Segment Addition Postulate?Since point Y lies between points X and Z, the three points are collinear, therefore, based on the segment addition postulate, XY + YZ = XZ.
Given the following:
XY = 3p
YZ = 2p - 1
XZ = 6p - 6
Substitute
3p + 2p - 1 = 6p - 6
Add like terms
5p - 1 = 6p - 6
5p - 6p = 1 - 6
-p = -5
p = 5
YZ = 2p - 1
Plug in the value of x
YZ = 2(5) - 1
YZ = 9 units.
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Answer:
It's D
Step-by-step explanation:
10 divided by 20
Protozoa are single-celled organisms.
Paramecium aurelia is one type of protozoan. The
number of Paramecium aurelia protozoa doubles
every 1.25 days. There was one protozoan on a slide
5 days ago. How many protozoa are on the slide now?
The number of protozoa makes a series where every next term is double its previous term so on the slide now the number of protozoa is 16.
What is a series?A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.
Number of protozoa 5 days ago = 1
Since protozoa double every 1.25 days.
Number of times protozoa doubles in 5 days ⇒
5 / 1.25 = 4 times.
So,
1 →2 → 4 → 8 → 16
Hence "The number of protozoa on the slide now is 16".
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A carton has a length of fraction 2 and 2 over 3 feet, width of fraction 1 and 1 over 8 feet, and height of fraction 1 and 1 over 5 feet. What is the volume of the carton?
fraction 3 and 3 over 5 cubic feet
fraction 4 and 1 over 5 cubic feet
fraction 5 and 2 over 5 cubic feet
fraction 7 and 1 over 5 cubic feet
Answer:
fraction 3 and 3 over 5 cubic feetStep-by-step explanation:
Volume formula V= lwh
Given
l = 2 2/3 = 8/3 ftw = 1 1/8 = 9/8 fth = 1 1/5 = 6/5 ftVolume is:
V = 8/3*9/8*6/5 =18/5 = 3 3/5 ft³Correct option is A
Answer:
fraction 3 and 3 over 5 cubic feet
Step-by-step explanation
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Answer:
Thanks for the free points...
I love school by the way
Answer:
hey
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Step-by-step explanation:
A carpenter wishes to make a rain gutter with a rectangular cross-section by bending up a flat piece of metal that is 18 feet long and 44 inches wide. The top of the gutter is open. What values of x, length of metal bent up, will give a cross-sectional area of at most 50 square inches? Round your answer to three decimal places.
Answer:
x = 20.996 , 1.002 square inches.
Step-by-step explanation:
We assume that the sides are bent at right angles
Dimensions of the given metal sheet are
Length = 18feet = 216 inches
Width = 44 inches
When we will bend the width part of the given metal sheet
let the bent length be x
so the cross sectional dimensions will be
width = 44-2x
length = x
Area = x(44-2x)
The given are should be at most 50 square inches
so the equation becomes
x(44-2x)[tex]\leq 50[/tex]
-2x^2 + 44x [tex]\leq 50[/tex]
[tex]2x^2 -44x +50\geq 0[/tex]
[tex]x^2 -22x +25\geq 0[/tex] (dividing the equation by 2)
upon solving the above quadratic equation we get
x = 20.996 , 1.002
both the solutions are possible.
Therefore we have the are using the values of x as 20.996 and 1.002 are
42.159968 and 42.079992 which is less than 50 square inches.
19=10−5x+9x−7
what is x?
Answer:
4
Step-by-step explanation:
fourrrrrrr
2x + -10 = 10 + -3x
Explanation
Reorder the terms:
-10 + 2x = 10 + -3x
-10 + 2x = 10 + -3x
Solving for variable x
Move all terms containing x to the left, all other terms to the right
Add 3x to each side of the equation
-10 + 2x + 3x = 10 + -3x + 3x
Combine like terms: 2x + 3x = 5x
-10 + 5x = 10 + -3x + 3x
Combine like terms: -3x + 3x = 0
-10 + 5x = 10 + 0
-10 + 5x = 10
Add '10' to each side of the equation.
-10 + 10 + 5x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 5x = 10 + 10
5x = 10 + 10
Combine like terms: 10 + 10 = 20
5x = 20
Divide each side by '5'.
x = 4
Answer
So your answer is x=4
hope that helps you:)
X= (-4/5) ÷ (1/2)
x=
simplest form
Answer:
the answer is that X= -8/5
Step-by-step explanation:
Laura's yard is in the shape of a square and a half-circle. She just got a puppy named Sprinkles for her birthday. In order to keep him safe, she wants to line the perimeter of her yard with a fence. How much fencing will she need to enclose the entire yard and keep Sprinkles from running away?
Answer:
The total perimeter she would need to fence would be:
4L + πr
Step-by-step explanation:
Since her yard is a square and half a circle, and she wants to fence the whole distance around the square and the half circle, then she needs to know the perimeter of a square and semicircle.
The perimeter of a square which is the distance around the square is given by 4L where L is the side length.
The perimeter of a circle, which is the circumference of a circle is 2πr, where r is the radius of the circle Therefore, half a circle would be 2πr/2 = πr.
The total perimeter she would need to fence would be:
4L + πr.
A triangle has sides of lengths 12, 14, and 19. Is it a right triangle?
Answer:
a^2 + b^2 = c^2
C should equal to the longer side, which would be 19.
Plug in other two numbers for A and B.
12^2 + 14^2 = 19^2
Now see if it's correct. If it is, then it's a right triangle, if it's not then it isn't a right triangle.
144 + 196 = 361
340 = 361
It's not a right triangle.
Step-by-step explanation:
Because I know it. Can You mark me as a brainliest?
Helpp!!! Will give brainliest!!
Answer:
12/37
Step-by-step explanation:Cos D = 12/37
(50points) Easy algebra 1. PLEASE HELP ME ASAP !!!
please please helpppp
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Given m
11
n, find the value of x and y.
m
(5x+9)
(y+20)
n
(4x+17)
Answer: x=8 and y=29
Step-by-step explanation:
Since the lines M and N are parallel to each other, the corners that are across from each other are equal. This is true for the corners formed by the lines on the top and bottom.
So, all of the given equations can be set equal to each other. ie: (5x+9)=(4x+17)=(y+20).
Now, since the first two expressions both have x as their only variable, set those equal to each other and do not include the y expression.
ie: (5x+9)=(4x+17)
Now solve for x by subtracting 4x from each side.
ie: x+9=17
Now subtract 9 from each side
ie: x=8
Now you have your X value
Use your X value to solve one of the x variable equations.
ie: 5(8)+9
This equals 49.
Use this answer to substitute it in the equation where we set them all equal.
ie: 49=y+20
Now solve for y using this equation
ie: y=29
Carrie invests some money at a rate of 8% per annum.
After 1 year there is £2754 in the account. How much did she invest?
Carrie must have invested £2550 at 8% interest rate for 1 year
What is the present value of £2754 ?
The present value of £2754 is its today's worth of the £2754 that would be received in 1 year, in other words, using the present value formula of a single cash flow provided below, we can determine the amount Carrie must have invested a year ago to be entitled to £2754 today
PV=FV/(1+r)^N
PV=amount invested=unknown
FV=worth of investment after 1 year=£2754
r=interest rate=8%
N=number of years since invested=1
PV=£2754/(1+8%)
PV=£2754/1.08
PV=£2550
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The temperature at 6:00 A.M. 58 degrees Fahrenheit. The temperature increased at a constant rate of 3 degrees Fahrenheit every hour until 10:00 A.M. The equation below models t as a function of h where t is temperature and h is hours. t=58+3h which set represents the range of this function. a.{h:0≤h≤4} b.{h:0≤h≤12} c.{t:58≤t≤70} d.{t:0≤t≤70}
Answer: [tex]c. (t:58\leq t\leq 70)[/tex]
Step-by-step explanation:
given data:
T = 58 degree Celsius.
changes in temperature = 3dregres every hour = 4.
solution:
[tex]t=58+3h\\where h = 4[/tex]
substitute the value for h into the equation.
[tex]t=58+3(4)\\t=58+12\\t=70[/tex]
the set with [tex]58\leq t\leq 70[/tex] best represents the function range.
Is the following a function? (2,5),(-9,5), (1,8), (3,2), (-2,1)?
A.yes
B.no
Answer:
Yes
Step-by-step explanation:
through (-4,3) , perpendicular to m=-2/3
Answer:
The equation of the line:
[tex]y=\frac{3}{2}x+9[/tex]
Step-by-step explanation:
Given
The point (-4, 3)m = -2/3We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -2/3
perpendicular to m = -1/m
[tex]=-\frac{1}{\left(\frac{-2}{3}\right)}=\frac{3}{2}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 3/2 and the point (-4, 3)
[tex]y-3=\frac{3}{2}\left(x-\left(-4\right)\right)[/tex]
[tex]y-3=\frac{3}{2}\left(x+4\right)[/tex]
Add 3 to both sides
[tex]y-3+3=\frac{3}{2}\left(x+4\right)+3[/tex]
[tex]y=\frac{3}{2}x+9[/tex]
Thus, the equation of the line:
[tex]y=\frac{3}{2}x+9[/tex]
Carlos purchased four pounds of oranges for $3.20. He later realized he needed nine pounds.
How much more money will he need to spend to bring his total up to nine pounds?
Answer: 5.8
Step-by-step explanation:
To find the answer to this question, you need to find the difference between the two numbers. To find the difference between the two numbers you have to subtract.
9 - 3.20 = 5.8
Answer:
$4
Explanation
3.20 / 4 = .80 .80 x 9 = 7.20 7.20 - 3.20 = 4
PLEASE HURRY!!
Juan's cell phone company charges $35 a month for phone service plus $0.50 for each
text message. How many text messages does Juan send in a month if his bill was $52?
1.
Define the variable:
2.
Determine the constant:
3
What is the rate:
4
Write the equation and solve:
Juan sent 34 text messages.
First, you have to subtract 35 from 52. The answer you should get is 17. If you divide 17 by $.50 you should get 34.
At a chili festival over the past few years , restaurant a won 56 out of 98 contest. Restaurant b won 84 out of 147 contests. Which restaurant has the better record? what decimal represents the wins for restaurant a ? what decimal represents the wins for restaurant b?
At the chili festival both restaurant (a) and (b) have the same record of winnings as they have equivalent fractions: 4/7
Information about the problem:
Winnings restaurant a = 56Contest restaurant a = 98Winnings restaurant b = 84Contest restaurant b = 147Which has the better record=?what decimal represents the wins for restaurant a =?what decimal represents the wins for restaurant b =?Calculating which restaurant has the better record, we get:
Rate (a) = Winnings restaurant a / Contest restaurant a
Rate (a) = 56/98
Simplifying, we get:
Rate (a) = 4/7
Rate (a) = 0.5714285
Rate (b) = Winnings restaurant b / Contest restaurant b
Rate (b) = 84/147
Simplifying, we get:
Rate (b) = 4/7
Rate (b) = 0.5714285
That means 56/98 and 84/147 are equivalent fractions.
What is a fraction?Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.
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geometry help please
=======================================================
Explanation:
Recall that midsegments are half as long as the side they are parallel to. In this case, midsegment PQ is parallel to segment GJ. This means PQ is half as long as GJ. Phrased another way, we can say GJ is twice as long as PQ.
So,
GJ = 2*PQ
Also, we can see that GR = RJ due to the triple tickmarks they share. This leads to GJ = GR+RJ = RJ+RJ = 2*RJ
Or in short,
GJ = 2*RJ
---------
In summary we can see that
GJ = 2RJGJ = 2PQequating both right hand sides leads to
2RJ = 2PQ
RJ = PQ
Because PQ is 10 units, this means RJ is also 10 units.
--------------------
Another way to see why PQ = RJ is to notice how triangles HPQ and QRJ are congruent triangles (use SAS to prove this). The corresponding pieces PQ and RJ are the same length, so PQ = RJ = 10.
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Three hens lay 3 eggs in 3 days.
(1) How many hens would lay 12 eggs in 12 days?
(2) How many hens would lay 3 eggs in 9 days?
Answer:
1 hen lays 1 egg in 3 days
Basically, in 3 days 1 hen lays 1 egg
1 hen lays 4 eggs in 12 days
Therefore, 3 hens lay 12 eggs in 12 days ******************
1 hen lays 3 eggs in 9 days ******************
Step-by-step explanation: