Answer:
8.5
Step-by-step explanation:
For inverse variation of (x, y), x*y = constant
so 4*17 = 8*y
y = 4*17/8 = 17/2 = 8.5
A circular garden is enlarged so that the new diameter is twice the old diameter. What is the ratio of the original area to the enlarged area? Express your answer as a common fraction.
I do not understand WHY the answer is 1/4 I do not understand why it is k^2 and all that. HELP I am giving LOTS of points
Answer:
Explained briefly below.Step-by-step explanation:
For old circular garden:
take the radius as r.
then use the formula to find area of circle: πr² ......this is old garden area.
For new enlarged garden:
the radius is twice the old radius so, radius = 2 * r = 2r ......enlarged radius
now find area for this new garden: π(2r)² → 4πr²
In common fractions: (old garden)/(new garden)
: ( πr² ) / ( 4πr² )
: 1/4
Answer:
1/4Step-by-step explanation:
Original diameter is d and new diameter is D and:
D = 2dArea of original circle:
A₁ = πd²/4Area of enlarged circle:
A₂ = πD²/4 = π(2d)²/4 = πd²The ratio of areas:
A₁ / A₂ =πd²/4 ÷ πd² = 1/4 ÷ 1 = 1/4Principal Lopez asked her 500 students to vote on the school's annual gift. 300 students voted to donate a telescope for the science lab. What percent of the students voted to donate a telescope?
Pick the model that represents the problem.
What percent of the students voted to donate a telescope?
%
Using the percentage concept, it is found that 60% of the students voted to donate a telescope.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem:
The total amount is the number of students, which is of b = 500.300 voted to donate, hence a = 300.The percentage is given by:
[tex]P = \frac{300}{500} \times 100\% = 60\%[/tex]
60% of the students voted to donate a telescope.
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John and Jane are two brands of shoes. John sells for R7, 20 for 8 pairs while Jane sells for R7, 76 for 9 pairs. Which brand is the cheapest?
Answer:
Jane
Step-by-step explanation:
because she sells 9 pairs for 7,76
Richard wants to install a paver patio in the shape shown. The dotted line represents a line of symmetry. How many square yards of pavers does Richard need to cover the entire patio?
1. 400
2. 290
3. 190
4. 180
Answer:
number 2: 290
Step-by-step explanation:
triangle: 11 x 20 = 220 ÷ 2 = 110
rectangle: 9 x 20 = 180
180 + 110 = 290
Richard will need 290 square yards of pavers to cover the entire patio.
∴ Option 2. 290 is the right option.
What is a trapezoid? How do we calculate its area?A trapezoid is a quadrilateral with a necessary pair of parallel lines.
The area of a trapezoid is calculated using the formula,
Area = (1/2)*(sum of parallel sides)*(perpendicular distance between the parallel sides)
What is a line of symmetry?A line of symmetry is the line that divides a figure into equal parts.
How do we solve the given question?The given patio is a quadrilateral. We are shown a line of symmetry. Seeing a single part among the two parts of the figure, we can see that it is a trapezoid with a pair of parallel lines, the shorter one 9ft, and the longer one 20ft. The perpendicular distance between them is 10ft (half of the base of the shown patio).
We calculate the area of this part,
= (1/2)*(9+20)*(10) = 0.5*29*10 = 145 square yards.
The area of the whole patio is twice of this part as both the parts are equal.
∴ Area of the patio = 2*145 = 290 square yards.
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Match the simplified version of the number given. Note: You do not need to find the opposite for the number, just the simplified number. Use the following clues:
The opposite of a positive number is a negative number and vice versa.
The opposite of the opposite of a positive number is a positive number.
The opposite of the opposite of a negative number is a negative number.
1. -(-75)
-20
2. -(87)
-75
3. -(20)
75
4. -(-20)
-12
5. -(12)
12
6. -(-12)
20
7. -(75)
-87
8. -(-(87)
87
The matching forms of the numbers are as represented below upon evaluation;
-(-75) = 75-(87) = -87-(20) = -20-(-20) = 20-(12) = -12-(-12) = 12-(75) = -75-(-87) = 87Opening up parenthesisThe given numbers can be simplified by opening up the parenthesis as indicated above in which case,
The product of 2 negatives equals a positive signThe product of ,a negative and positive equals negative.Read more on parenthesis;
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20089 (4 significant figures)
Answer:
20010
Step-by-step explanation:
20010
.
.
.
.
.
.............
Answer:
2000
Step-by-step explanation:
20089-2/0089
it can not be approximated
therefore it is 20000
Layla is baking a Double Chocolate Chocolate Chip cake. For this recipe, she will need one bag of flour and a number of bags of chocolate chips. At the grocery store, she sees that a bag of flour costs $3.59 and each bag of chocolate chips, c, costs $2.75. Write an algebraic expression to represent the total amount she will spend at the store.
Answer:
2.75c +3.59
Step-by-step explanation:
She only needs one bag of flour so it is a constant 3.59. She needs multiple bags of chocolate chips which is unknown so that will be c times the 2.75 for each bag
Need this answer quick please.
Answer:
I= integ.of dx/(4+5sin^2 x)
On dividing by cos^2x in Nr and Dr.
I=integ.of sec^2 x.dx/(4sec^2 x +5.tan^2 x)
I=integ.of sec^2 x.dx/(4+4tan^2 x+5tan^2 x)
I=integ.of sec^2 x.dx/(4+9tan^2 x)
Let tan x= t
sec^2 x.dx = dt
I=integ.of dt/(4+9t^2)
let t =(2/3)p , dt =(2/3)dp
I=integ.of (2/3).dp/(4+4p^2)
I=integ.of (2/12)dp/(1+p^2)
I=(1/6) tan^-1(p) +C
I=(1/6).tan^-1(3t/2) +C
I=(1/6).tan^-1{(3/2)tan x } +C , Answer.
Lexi has 2 cans of tennis balls. There are 3 tennis balls in each can. she buys 2 more cans. how many tennis balls does she now have?
Answer: 12 tennis balls
Step-by-step explanation: 4 cans of 3 tennis balls. 4 times 3 is 12.
It's actually 12.
He e is. Dis is vedy gude ansed.
Saville Company has 10,000 shares of $100 par, 4% cumulative preferred stock and 100,000 shares of
$10 par common stock. All past dividends for preferred shareholders have been paid. Dividends
totaling $80,000 have been declared.
Determine the dividends per share for preferred and common stock for the year.
Question 10 options:
$4.00 and $4.00
$4.00 and $0.40
$2.00 and $0.40
$2.00 and $4.00
Answer:
$4.00 and $0.40
Step-by-step explanation:
Preferred dividend = $100 x 4% = $4 per share
$4 x 10,000 shares = $40,000
$80,000 paid - $40,000 preferred = $40,000 common dividend
$40,000 / 100,000 common shares = $0.40 per share
The dividends per share for preferred and common stock for the year is: $4.00 and $0.40.
Dividends per share for preferred and common stockDividends per share for preferred = $100 x0.04
Dividends per share for preferred = $4 per share
Common dividend=$80,000 -($4 x 10,000 shares)
Common dividend=$80,000 - $40,000
Common dividend=$40,000
Dividends per share for common stock=$40,000 / 100,000
Dividends per share for common stock = $0.40 per share
Inconclusion the dividends per share for preferred and common stock for the year is: $4.00 and $0.40.
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PLEASE HELP ASAP!!!!( 50 POINTS)
Chef Alfredo invested $4800 at a simple interest rate of 5% and can now afford a $6,000 state-of-the-art pizza
oven. How many years ago did he make this investment? Show all your work and answer in a complete sentence.
3
Suppose that a very la: Enter your search term
cameras and that of them are defective. A sample of 2 cameras is
8
selected at random. Define the random variable X as the number of defective cameras in the sample.
a. Write the probability distribution for X. Round to two decimal places.
X
P(X)
b. What is the expected value of X? Round to two decimal places.
Preview
Answer:
you were present when a senor student bullied a junior one. describe what happened to the teacher on duty
Find the area of the circle. Give your answer in terms of x. C= pie over 7
Answer:
Assuming C stands for Circumference we will assume the circum is pi/7
Therefore x = 1/196pi
Step-by-step explanation:
First find the radius with C = 2 * r * pi
1/7pi = 2 * r * pi
r = (1/7pi)/2pi
r = 1/14
Now for the area we have A = r^2 * pi
A = (1/14)^2 * pi
A = 1/196 * pi
F(x)x^2-x+3 find f(x+2)
Answer: =7
Step-by-step explanation:
Use one-variable equations and inequalities to fill in the graphic organizer
Answer:
when you dont know what to do what do you do? Do you just stand there and act like nothing is happening when something is actually happening dont do that just stand still and wait for it to come to you its your chance dont be left out you go this dont be scared you go this go go go go go go go go go gog og go go ogg og og og og og og og og o
Step-by-step explanation:
The price of an item yesterday was $140 today the price is $343 what’s the percentage increase
Answer:
145% increase
Step-by-step explanation:
1) 343 - 140 = 203
2) 203/140 = 1.45
3) 1.45 x 100 = 145
In the figure, TU is tangent to the circle at point U. Use the figure to answer the questions A and B. (The questions A and B are posted in the picture with the figure). ( Please Don't Repaste Another Students Answer To Answer My Questions). Will Mark Brainliest .
Answer:
a) UT² = ST · (RS + ST)
b) UT = 6 in
Step-by-step explanation:
Secant : a line that intersects the circle at two pointsTangent : a line that touches the circle at one pointIf a secant and a tangent of a circle are drawn from a point outside the circle, then the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment.
UT² = ST · (RS + ST)
Given:
RT = 9 inST = 4 inRS + ST = RTUsing: UT² = ST · (RS + ST)
⇒ UT² = 4(5 + 4)
⇒ UT² = 36
⇒ UT = √36 = 6 in
Please help me, A candle is in the shape of a frustum (a cone with the top cut off). Calculate the volume of the candle to the nearest tenth of a cubic centimetre.
Answer:
Height = 8 cm
You will need this formula (see attached):
Volume = [PI * 8 * (2² + 2*4 + 4²)] / 3
Volume = [3.14159265 * 8 * (4 + 8 + 16)] / 3
Volume = 234.57 cubic centimeters
Source: http://www.1728.org/volcone.htm
Step-by-step explanation:
In rectangle KLMN, KM = 9x+26 and LN = 84.5. Find the value of x.
Answer:
x = 6.5
Step-by-step explanation:
square is rectangle
9x+26 = 84.5
84.5 - 26 = 58.5
9x = 58.5
x = 58.5 divided by 9
x = 6.5
If one cubic foot of water weighs 62 1/2 pounds how much do 3 1/5 cubic feet of water weighs?
Answer:
3 1/5 cubic feet of water weighs 200 pounds
Step-by-step explanation:
1. Take 62 1/2 into decimal form: 62 1/2 = 62.5
2. Take 3 1/5 into decimal form: 3 1/5 = 3.2
3. Multiple 62.5 by 3.2: 62.5 x 3.2 = 200
The answer is 200 pounds.
Write 1,386 as the product of its prime factors.
Answer:
. A prime factor of x is a prime number that divides x correctly (so that the rest is equal to 0). 1386 = 2*3*3*7*11 in our situation. This result can be obtained by dividing the number (1386) by 2, 3, 5, 7, 11, and so on. You utilise the result you get every time you successfully divide it by a prime number (beginning with 2) and try to divide it using the same approach. When you can no longer divide a number by a prime number, you go on to the next prime number and try to divide it by that number. Finally, you multiply the prime numbers by which you were able to divide your number.
Step-by-step explanation:
Answer: We know the prime factorization of a number is the representation of a number in terms of multiples of its factors. Now to simplify the above factorization by applying the exponent rule to make the prime factorization simplest. So, the correct answer is “ $ \ 1386 = 2 \times {3^2} \times 7 \times 11 $ ”.
Step-by-step explanation:
Hope it helped you<3
In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual
plane is 18 feet long with a wingspan of 13.5 feet. If the finished model will be 10 inches long, what will the
wingspan be?
O 13.3 in
O 7.5 in
O 3.75 in.
O 24.3 in.
Answer:
I would say D.
Step-by-step explanation:
yeah
3. Choose the single logarithmic expression that is equivalent to the one shown.
log; 4 - log2
log 2
O
log 4
O
log, 2
log, 3
Answer:
log, 2
Step-by-step explanation:
the answer is log, 2 or c
The solution of the single logarithmic expression that is equivalent to the one shown is,
⇒ log₃ 2
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ log₃4 - log₃2
Now, We can simplify as;
⇒ log₃4 - log₃2
⇒ log₃4/2
⇒ log₃ 2
Thus, The solution of the single logarithmic expression that is equivalent to the one shown is,
⇒ log₃ 2
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Which table shows a function that is decreasing only over the interval (–1, ∞)?
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 4, negative 3, negative 1, 2, 1, negative 6.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8.
Answer:0,1
Step-by-step explanation:
1 is the number in the x column that is in the same area as 0 they r vertical to each other
What is the length of TV?
1 unit
1 2/3units
2 1/2units
3 units
Find the numbered angles in each rhombus
Answer:
there are 4 angles on each rhombus so it would be 4! :D
Step-by-step explanation:
20% + 302 + 5x – 4 / 32 + 1 +1?
Answer:
hope this helps
Step-by-step explanation:
help I WILL GIVE Brainiest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the solution to the system of equations?
-1/2x+1/2y=-1
x-y=2
a. There is no solution.
b. There are infinitely many solutions.
c. There is only one solution, (3, 1).
d. There is only one solution, (–6, –8).
Answer:
b. infinite solutions
Step-by-step explanation:
[tex]-\frac{1}{2}x+\frac{1}{2}y=-1\\\\\textsf{subtract} \ -\frac{1}{2}y \ \textsf{from both sides:}\\\\\implies -\frac{1}{2}x=-1-\frac{1}{2}y\\\\\textsf{mulitply both sides by -2:}\\\\\implies x=2+y\\\\\textsf{subtract} \ y \ \textsf{from both sides:} \ x-y=2[/tex]
Therefore, the graphs are the same.
If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Answer:
There's one solution (2,0)
Hope this helps!
*will give brainliest for best answer*
The measure of an angle is 3°. What is the measure of its complementary angle?
Answer:
87
Step-by-step explanation:
3+87=90, whatever angle adds up to 90 is complimentary
In what range do the closing costs on a home loan typically fall? a. 1% to 3% b. 3% to 5% c. 5% to 7% d. 7% to 10% Please select the best answer from the choices provided A B C D Mark this and return
Answer:
The answer to this question that you asked is 3%
so the complete answer is: b. 3%
Step-by-step explanation:
The closing costs can usually and typically range from 3%–6% of the home's purchase price. if you are buying a two-hundred thousand dollar house, your closing cost would could range from six-thousand to twelve-thousand dollars. The closing fees may vary depending on your state, loan type, and mortgage lender, so it's important to pay close attention to these fees.
hope this answered your question