An article when sold at a profit of 5% yields Rs 50 more than when sold at a loss of 5%. What was the cost price of the article?
Answer:
Rs 500
Step-by-step explanation:
For cost c, the price that gives a 5% profit is ...
c + 5%·c = 1.05c
The price that gives a 5% loss is ...
c -5%·c = 0.95c
The difference of these prices is Rs 50:
1.05c -0.95c = 50
0.10c = 50 . . . . simplify
c = 500 . . . . . . . divide by 0.1
The cost price of the article is Rs 500.
30 POINTS!!!! SOMEONE PLEASE HELP ME!!!
Answer:
60 nickels
Step-by-step explanation:
When a ratio between coins is given, I like to consider the problem in terms of groups of coins. Here, each group would consist of 1 nickel and 0.20 quarters. The value of that group is
5¢ +0.20×25¢ = 10¢
Then the number of groups is ...
(total value)/(value of 1 group) = number of groups
600¢/10¢ = 60
Since each group has 1 nickel, there are 60 nickels.
__
Check
60 nickels + 12 quarters = $3.00 +3.00 = $6.00
_____
Additional comment
If you want to see this with equations and variables, you can do this.
Let n and q represent the numbers of nickels and quarters, respectively. The given relations are ...
0.05n +0.25q = 6.00
q = 0.20n
Substituting for q in the first equation gives ...
0.05n +(0.25)(0.20n) = 6.00
Simplifying gives ...
0.10n = 6.00
n = 6.00/0.10 = 60
- z > 8 equivalent inequality
Answer: z < -8
Step-by-step explanation:
Since z is negative, divide both sides by -1, which leaves you with z > -8.
Multiplying or dividing an inequality by a negative number flips the sign, thus the answer is z < 8.
Correct me if I am incorrect.
Can someone help me plssssssssss
find three solutions of 9x - 2y = 18
(i don't know why I can't type this out right the first two times)
Answer:
Some solutions of 9x−2y=18 are x=5 =−18 ; x=7 and y=19 ; x=9 and y=0 ; x=11 and y=9 and x=13 and y=18 .
Step-by-step explanation:
Determine if the two triangles are congruent. If they are, state how you know
Answer:
yes the two triangles are congruent by the SSS theorum.
Step-by-step explanation:
it is given that two of the sides are congruent. they also share a side making that side also congruent. so, all three sides are equal, making the two triangles congruent by SSS/side-side-side theorum.
a recipe for one batch of Holliday cookies uses 6 tablespoons of frosting for every 16 cookies please awnser quick
Which inequality represents the phrase below? a number more than 72 A. x < 72 B. x > 72 C. x > 71 D. x = 72
Answer:
the answer is. C.i hope this helps sorry if im wrong
M is the midpoint of the segment. Find the length of XM.
Answer:
x=2 and XM=11
Step-by-step explanation:
because M is the midpoint of the line, you know that both XM and ZM are equal and you know an expression for the lengths of both of these.
set these expressions equal and solve:
4x+3=3x+5 so by subtracting the 3x from the right side, moving it over to the left and subtracting 3 from the left side to move it over to the right, you get:
x=2
then to find XM, plug in this value of x to get XM=11
4(2)+3=11
B+8/2=6
How do I do this
Answer:
B = 2.
Step-by-step explanation:
First work out 8/2. Okay so how many 2's go into 8? 4.
We now have B + 4 = 6.
Now that we've simplified it a bit we can do a reverse equation and turn it into subtraction.
Take the answer (6) and 4 and put them into a subtraction equation,
6 - 4. And simple subtraction should be easy so 6 - 4 = 2.
So B equals 2. Let's check it! 2 + 4 = 6. I think that sounds right so that will be the answer. B=2.
Hope that helps. x
0.081 to the nearest hundredth
Answer:
0.08
Step-by-step explanation:
a 1 in the thousandths place is dropped in standard rounding to the nearest hundredth.
Answer:
0.08
Step-by-step explanation:
In 0.081, 0 is the tenth, 8 is the hundredth, and 1 is the thousandth. So as you want to approximate to the nearest hundredth, you have to look at the number behind 8 which is 1. And, 1 is less than 5, so you don't have to round up.
please help me in this question
3(x-2)=2x+10
Answer:
[tex]3(x-2)=2x+10\\3x-6=2x+10 | +6\\3x=2x+16 | -2x\\x = 16[/tex]
30.
a) [tex]180^{0} - 134^0-22^0=24^0[/tex]
[tex]r=24^0[/tex]
b)
[tex]90^0=2x^0+3x^0\\90^0=5x^0 |:5\\x^0=18^0[/tex]
[tex]2x^0= 2* 18^0=36^0[/tex]
[tex]3x^0=3*18^0=54^0[/tex]
Take care!
Help help help help math math
Answer:
Yes, it is a function
Step-by-step explanation:
Each x value in the domain has its own output, and it does not have more than 1
Given the function f (x) = 3x — 2, what is the value of f (3)?
Answer:
7
Step-by-step explanation:
Simply plug in 3 for x. 3 times 3 is 9 and 9 minus 2 is 7.
expand and simplify
5(3y+2)+5(5y+2)
Answer:
Step-by-step explanation:
15y + 10 + 25y + 10
Answer:
Solution here,
Step-by-step explanation:
For simplify
First multiply the terms inside the brackets with the term outside the bracket i.e 5.
5(3y+2)+5(5y+2)
15y+10+25y+10
35y+20
Determine the largest integer that makes 2 - 3(x+8) > 12 - x true.
Answer:
2
Step-by-step explanation:
Because if you add 1 to 8 you get 9 then subtract 9 by 7 then and your answer is
Matthew had $12m. He spent 80¢ every day. How much did he have left
after 2 weeks? Give your answer in dollars.
Answer:
11999988.80 or .80
Step-by-step explanation:
12,000,000-(.80*14)=11999988.80
12-(.80*14)=.80
WILL GIVE BRAINLIEST
Answer:
the y intercept is 5/3
the y intercept is 3/5
(x - y + z) : (y - z + 2w) : (2x + z - 10) = 2:3:5 Then ( 3x + 3z - 2w) : w = ?pgvzcmckyc?
Answer:
19
Step-by-step explanation:
in question given ,x = 2, y = 3, z = 5 in this way
(3x+3z+2w) and find the value of w . according to given values and put
Answer:
4 +30/w . . . . for any w≠0
Step-by-step explanation:
The given constraints resolve to 2 equations in 4 unknowns. There are an infinite number of solutions.
The ratio requirement means ...
(x -y +z)/2 = (y -z +2w)/3 = (2x +z -10)/5
Considering the first equality, we can multiply by 6 and subtract the right side.
3(x -y +z) -2(y -z +2w) = 0 ⇒ 3x -5y +5z -4w = 0
Considering the first and last expressions, we can multiply by 10 and subtract the right side.
5(x -y +z) -2(2x +z -10) = 0 ⇒ x -5y +3z = -20
These two equations have solutions ...
x = 10 -z +2w
y = 6 + 0.4z +0.4w
Using these expressions in the ratio of interest, we have ...
(3x +3z -2w) : w = (3(10 -z +2w) +3z -2w) : w = (30 -3z +6w +3z -2w) : w
= (30 +4w) : w
Expressed as a mixed number, the ratio of interest is ...
(30 +4w)/w = 4 +30/w . . . . an infinite number of solutions
__
For positive values of w that are divisors of 30, there are 8 possible values:
(w, ratio) = (1, 34), (2, 19), (3, 14), (5, 10), (6, 9), (10, 7), (15, 6), (30, 5)
_____
Check
It might be interesting to substitute the expressions for x and y into our original equation(s).
(x -y +z)/2 = ((10 -z +2w) -(6 +0.4z +0.4w) +z)/2 = (2 -0.2z +0.8w)
(y -z +2w)/3 = ((6 +0.4z +0.4w) -z +2w)/3 = (2 -0.2z +0.8w)
(2x +z -10)/5 = (2(10 -z +2w) +z -10)/5 = (2 -0.2z +0.8w)
All of these expressions are identical, as they should be.
is a half of a teaspoon more than a fourth of a teaspoon
Answer:
Half of a teaspoon is more than a fourth of a teaspoon
Step-by-step explanation:
1/2 is greater than 1/4
PLS HELP PLEASSSS ILL MARK U AS BRAIN KING THINGY WTV U CALL IT
Answer: infinitley many solutions
Step-by-step explanation:
How are the two triangles congruent? If not congruent, select not
congruent.
1 point
SSS
SAS
ASA
AAS
ОО
Not congruent
Answer:
SAS
Step-by-step explanation:
there are vertical angles in the middle and the sides are already marked
x + 7 when x = -11
What is the answer
Which of the following is a geometric sequence with a common ratio of 2?
A) 14, 28, 56, 112, ...
B) 64, 32, 16, 8, ...
C) 87, 85, 83, 81, ...
D) 14, 16, 18, 20, ...
Answer:
A
Step-by-step explanation:
Geometric sequences involve multiplication and the ratio of 2 means each number is multiplied by 2 to get the next number.
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $1,000, annual interest: 6%, interest periods: 6, number of years: 14 more than the investment compounded annually.
After 14 years, the investment compounded periodically will be worth $ ____(Round to two decimal places as needed.)
After 14 years, the investment will be worth $ 2,306.72.
Given that an investment has a $ 1000 principal, 6% annual interest, 6 interest periods and 14 years of investment, to determine, after 14 years, how much the investment will be worth, the following calculation must be performed:
1000 x (1 + 0.06 / 6) ^ 14x6 = X 1000 x 1.01 ^ 84 = X 1000 x 2.3067 = X 2,306.72 = X
Therefore, after 14 years, the investment will be worth $ 2,306.72.
Learn more about maths in https://brainly.com/question/15603792
Suppose a group of 100 women aged 60-64 got a new flu vaccine in 2004, and 5 of them died the following year. Is this event unusual? Specifically, how likely is it that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year? Know the chance of dying of a woman aged 60-64 getting a new flu vaccine in the next five years is 0.009.
Therefore, the probability that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year is 0.0000000059049%, making the event absolutely unusual.
Given that a group of 100 women aged 60-64 got a new flu vaccine in 2004, and 5 of them died the following year, to determine if this event is unusual, and specifically, how likely is it that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year knowing that the chance of dying of a woman aged 60-64 getting a new flu vaccine in the next five years is 0.009, the following calculation must be performed:
0.009 x 0.009 x 0.009 x 0.009 x 0.009 = X 0.000000000059049 = X 0.000000000059049 x 100 = X 0.0000000059049% = X
Therefore, the probability that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year is 0.0000000059049%, making the event absolutely unusual.
Learn more about maths in https://brainly.com/question/14696440
1038*472 please help
Answer:
443,226
Step-by-step explanation:
Given f(x) = x + 2, describe how setting k = 4 affects the slope and y-intercept of the graph of g compared to the graph of f.
g(x) = (4x) + 2
g(x)=4(x+2)
Answer:
g(2)=(4x) +2=7y
g(3)=4(x+2)
Please hurry!! This assignment is almost due!!
Answer:
x = 23
Step-by-step explanation:
8x-27 = 7x-4
8x-7x = -4+27
x = 23
For what values of r will the area of the shaded region be greater than or equal to 12 square units? Write your answer as an inequality.
Answer:
r>=12
Step-by-step explanation: