Answer:
First Price - 130% of original price
Marked Price(Second Price) - 0.85 of the first price
Second Price: 0.85 x 1.3 x 1 = 1.105
1.105 - 1 = 0.105(10.5%)
In conclusion, the shopkeeper is making a percentage profit of 10.5%.
f
is inversely proportional to
√
g
.
When
f
=
12
,
g
=
64
Work out
f
when
g
=
16
The value of 'f' when 'g' is 16 is 24.
How to calculate the value
If 'f' is inversely proportional to square root of 'g', it can be expressed thus;
f [tex]\alpha[/tex] [tex]\frac{1}{\sqrt{g} }[/tex]
Then
f * [tex]\sqrt{g}[/tex] = constant
f₁*[tex]\sqrt{g}[/tex] ₁ = f₂ * [tex]\sqrt{g}[/tex]₂
If f₁ = 12 , [tex]\sqrt{g}[/tex]₁ = [tex]\sqrt{64}[/tex] = 8,
f₂ = ?, [tex]\sqrt{g}[/tex]₂= [tex]\sqrt{16}[/tex] = 4
Substitute into formula
12 * 8 = f₂ * 4
Make 'f₂' subject
f₂ = 96 ÷ 4
f₂ = 24
Therefore, the value of 'f' when 'g' is 16 is 24.
Learn more about indirect variations:
https://brainly.com/question/6499629
#SPJ1
A person 5.5ft tall casts a shadow that is 6ft long. At the same time of day a
lamppost cast an 18ft shadow. How tall is the lampost?
17.5 feet
16.5 feet
1.83 fee
15,5 feet
A trapezoid has 21 inches base and 5.3 inches base, as well as 39 inches height. What is the area?
Answer:
It is 512.85
Step-by-step explanation:
A = [tex]\frac{a+b}{2}[/tex]h = [tex]\frac{21 + 5.3}{2}[/tex].39 = 512.85
It is 512.85
21*5.3*39=512.85
Find the sum
1/(1x3) + 1/(2x4) + 1/(3x5) + .... + 1/(98x100)
Answer:
Step-by-step explanation:
Marte posted a story on her blog on the stay there were 80 responses and on the second day there were 180
responses what percent is the increase 100 of the original number of responses 802
Answer:
D. 125%
Step-by-step explanation:
First day = 80 responses
Second day = 180 responses
Increase in responses = 180 - 80
= 100 responses
what percent is the increase 100 of the original number of responses 80
= Increase in responses / original number of responses × 100
= 100/80 × 100
= 1.25 × 100
= 125%
The percent increase 100 of the original number of responses 80 = 125%
Your throw your ball into a air from height of 4.2
Answer:
Done
Step-by-step explanation:
is 2y=10 a function?
Answer:
2y = 10 is an equation
An equation is a statement that shows that the values of two mathematical expressions are equal (indicated by the sign =)
Please help me with this asap if you can.
Answer:
The first box plot is for group 2
The second box plot is for group 1
The third box plot is for group 3
What is the area of the triangle below?
3 18
A. 27 sq. units
B. 18 sq. units
C. 21 sq. units
D. 54 sq. units
Helppppp ASAP please
Answer:
A. 27 sq. units
Step-by-step explanation:
A = 1/2 · b · h
A = 1/2 · 3 · 18
A = 1/2 · 54
A = 27 sq. units
Answer:A-27
Step-by-step explanation:
A=1/2 18*3=27
please help step by step how do I solve this
Answer:
my suggested answer (576)
Step-by-step explanation:
i chose the wrong answer :(
(-26)x(-41)
evaluate the following equation.
help me please
Answer:
[tex]1066[/tex]
Step-by-step explanation:
[tex]( - 26) \times ( - 41)[/tex]
[tex]26 - 41[/tex]
[tex]1066[/tex]
Hope it is helpful....which function is graphed?
Step-by-step explanation:
hello it's B)
v ::::: ok
.
.
.
.
.v:
In your English class you are given a list of 12 books you want to choose three books to read over the summer how many groups of three books are available from the list of 12
Answer:
there are 4 groups of 3
Step-by-step explanation:
12 ÷ 3 = 4
answer : 4
Step-by-step explanation:
12 = 3 + 3 + 3 + 3 there are 4 groups of 3
PLEASE HELP ME!
EXPLANATION = BRAINLIEST
the area is ___ square units
Answer:
50 units²
Step-by-step explanation:
Solve for both long sides:
6² + 8² = x²
36 + 64 = x²
100 = x²
x = 10
Solve for both short sides:
3² + 4² = x²
9 + 16 = x²
25 = x²
x = 5
Area:
5 x 10 = 50
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation:
If a = 3 inches and c= 5 inches, what is the measure of b?
2 inches
3 inches
4 inches
8 inches
B is 4 inches i think
hope that helps
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.12. The probability that it will not rain and the flight will leave on time is 0.87. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
Answer:
it would be 0.7 got it right when i done it
Step-by-step explanation:
Answer: real answer is 0.278
Step-by-step explanation:
The table below shows the typical hours worked by employees at a company. A salaried employee makes $50,000 per year. Hourly employees get paid $20 per hour, but get $30 per hour for each hour over 40 hours.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
8
8
9
9.5
7.5
4
Please I need help with this math homework ASAP thank you!
Answer:
4
[tex] \sqrt{4} = 2 \\ \\ \sqrt{2} \times \sqrt{8 } = \sqrt{16} \\ \\ \sqrt{16} = 4[/tex]
Which represents the table ?
Answer:
b
Step-by-step explanation:
dfghdfhjdfjdfj
Select all of the true statements.
A.
1
3
foot
>
5
inches
B.
4
miles
>
7
,
000
yards
C.
2
1
4
miles
<
10
,
000
feet
D.
5
3
4
yards
=
196
inches
E.
8
yards
=
24
feet
Answer:
miles
<
10
,
000
feet
D.
5
3
4
yards
=
196
inches
E.
8
yards
=
24
feet
What is the median of the data represented in the line plot?
Answer:
The answer is Choice D
Step-by-step explanation
The median is the middle value in the given set of data.
If the data is even, then there will be two middle numbers, then the median is the average of these two middle numbers.
Thus, from the data, it is obvious that the number of data in the given set is 13.
Hence, the middle number is 23.
Therefore, the median of the data is 23.
A rectangular balcony has an area of 28 square meters. Its perimeter is 22 meters. What are the
dimensions of the balcony?
A) 7 meters by 4 meters
B) 14 meters by 2 meters
C) 11 meters by 2 meters
D) 10 meters by 1 meter
Let △ABC be a right triangle with m∠C = 90°. Given tan ∠A = 0.25, find tan ∠B.
==========================================================
Rule:
If A+B = 90, then tan(A) = 1/( tan(B) ) and tan(B) = 1/( tan(A) )
-------
Since C = 90, this must mean the other two angles A and B are acute and complementary. So A+B = 90 must be the case. This allows us to use that rule above.
So,
tan(B) = 1/( tan(A) )
tan(B) = 1/( 0.25 )
tan(B) = 4
-------
Here's another way to think about it.
If tan(A) = 0.25, then we could have BC = 1 and AC = 4 as the opposite and adjacent sides respectively. That leads to tan(A) = opposite/adjacent = BC/AC = 1/4 = 0.25
When computing tan(B), the BC and AC sides swap roles in terms of opposite and adjacent,
tan(B) = opposite/adjacent = AC/BC = 4/1 = 4.
For any of these cases, we don't involve the hypotenuse AB.
Hunter is 9 years older than 3 times the age of his nephew.
Hunter is 33 years old. How old is his nephew?
Answer:
Hunter's nephew is 8 years old.
Step-by-step explanation:
We could set up an expression to represent the situation, then solve for the nephew's age. The age of the nephew should be represented by X.
3x + 9 = 33
To get 3x by itself, subtract 9 from both sides.
3x + 9 - 9 = 33 - 9
3x = 24
To get X alone, divide by 3 on both sides.
24 divided by 3 is 8. Hunter's nephew is 8 years old.
Which of the following is an arithmetic sequence?
O A. 5, -5, 5, -5, ...
O B. 3, 0, -3, -6, ...
O C. 2, 3, 7, 1, ..
O D. 2, 4, 16, 32, ...
Answer:
B
Step-by-step explanation:
In an artihmetic sequence, there is a constant difference between two consecutive terms.
So for instance:
[tex]-6 -(-3) = -3[/tex]
[tex]-3 -0 = -3[/tex]
[tex]0 - 3 = -3[/tex]
As you can see there is a difference of [tex]-3[/tex] from one term to the next
____________________________
You can also find the constant difference the other way around, for instance
[tex]3-0=3[/tex]
[tex]0-(-3) = 3[/tex]
[tex]-3-(-6) = 3[/tex]
In this example, you can see that each term is [tex]3[/tex] higher than the previous term
I hope this helps!!
Identify each situation as a permutation or a combination.
1. choosing friends to invite to a party
2. choosing your top 10 favorite actors
Answer:
1. Combination
2. Permutation
Step-by-step explanation:
Permutations occur in cases where the order of something changes the arrangement (e.g. Choosing letters of a password). Combinations occur when the order of something does not matter (e.g. choosing three donut flavors).
1. Since the order of which you choose and invite your friends does not change who you've invited, this is a combination (order does not matter).
2. When ranking a top-10 list, the order of your ranking affects the ranking itself and makes a difference (order matters). Therefore, this situation is a permutation.
-42+(-17) simplified
Answer:
La respuesta es
Step-by-step explanation:
-42+(-17)=. - 59
Espero ayudarte suerte
Hi there!
»»————- ★ ————-««
I believe your answer is:
-59
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the Expression}}\\\\-42+(-17)\\------------\\\rightarrow -42 +1(-17)\\\\\rightarrow -42 -17\\\\\rightarrow\boxed{-59}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the degree of the following polynomial? 11x ^ 5 * y - 7x ^ 4 * y - 2y
the degree of the following polynomial : (6)
A member has a monthly membership for $480 per month. They also have a 25% discount on top of the monthly price and have paid for 1 month of service to date. In an attempt to retain the member, you offer a 40% discount instead. With the new discount and since the member already paid for a month of service, you will need to provide a refund for the difference. How much would you refund for the month already paid?
Answer:
$72
Step-by-step explanation:
For the first month, they got a 25% discount, aka $120 off. Now that it's changed to 40%, you need to find how much 40% of $480 is.
480 x .4 = 192
40% of $480 is $192. The next step is to find the difference between $192 and $120.
192 - 120 = 72
Therefore, you need to give them of refund of $72.
Need help ASAP DUE AOLN AND PLEASE SHOW WORK ?!!!
Answer: 35.98in
Step-by-step explanation:
Use the formula: h=3 v/pi(r^2)
Answer:
V = 36.0 in
Step-by-step explanation:
V of cylinder = (1/3)πr^2(h)
V of cylinder = 3052 cubic inches
r = 9 in
3052 = (1/3)π(9)^2(h)
3052 = (1/3)π(81)h
3052 = 84.82300165h
divide both sides by coefficient of h
h = 36.0 in (rounded to nearest tenth)