Given,
CP of cosmetics = Rs 360 per dozen
SP of a pair of cosmetics = Rs 80
We need to find the profit percentage.
Solution,
We know that,
1 dozen = 12 items
CP of 1 cosmetic = 360/12 = Rs 30
SP of 1 cosmetic = 80/2 = Rs 40
Profit = SP-CP
= Rs 40 - Rs 30
= Rs 10
Profit percentage is given by :
[tex]\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%[/tex]
So, the profit percentage is 33.34%.
Mrs. Cameron's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
the process of systematic arrangement of data and column is called
Answer:
“A systematic arrangement” of data in rows and columns is called Table.
Explanation: A table is used to arrange data in rows and columns
hOw dO I rUn??????????????????????????????????????????????
It's like walking but faster, so you go faster like sonic lol.
A car was moving at 14 m/s. After 3 seconds, its speed increased to 20 m/s. What was the acceleration during this time?
Answer:
6 mph
Step-by-step explanation:
the cars acceleration was
6mph
Does anyone know what is -17+8y=2x?
Complete the congruence statement by naming the corresponding angle or side.
50 Points
Step-by-step explanation:
Triangles WXY and RPY are congruent.
Since letters X and P are both the 2nd letter in their respective triangles, angle X = angle P (A).
1. Neena is listening to a song. It has a consistent beat. She counts 11 beats in 5 seconds. What is the constant of proportionality for the relationship of beats to minutes?
Answer:
132
Step-by-step explanation:
132
Step-by-step explanation:
First, find how many beats are in a minute by creating a proportion:
\frac{11}{5} = \frac{x}{60}
Cross multiply and solve for x:
5x = 660
x = 132
So, there are 132 beats in one minute.
This means the constant of proportionality is 132.
Answer:
132
Step-by-step explanation:
Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
-1, 2, 4
9514 1404 393
Answer:
f(x) = x³ -5x² +2x +8
Step-by-step explanation:
If the function has a zero of p, then it has a factor of (x-p). The polynomial of least degree will only have factors corresponding to the given zeros:
f(x) = (x -(-1))(x -2)(x -4)
= (x +1)(x -2)(x -4)
= (x² -x -2)(x -4)
f(x) = x³ -5x² +2x +8
The owner of an orange grove estimates that if 24 trees are planted per acre, then each mature tree will yield 600 oranges per year. For each additional tree planted per acre, the number of oranges produced by each tree decreases by 12 per year. How many trees should be planted per acre to obtain the most oranges per year
Answer:
16428 oranges
Explanation:
Total yield = number of trees × number of oranges in each tree
Initial yield = 600×24= 14400 oranges
To find the equation needed, let x = additional trees and y= total yield
Number of trees = 24 +x
Number of oranges in each tree = 600-12x
Equation of total yield y= (24+x)(600-12x)
y= 14400-288x+600x-12x²
y= -12x²+312x+14400
Using a graphing calculator, from the graph drawn for this quadratic equation, we notice that it is a parabola. Therefore to find the maximum value, we should find the maximum point which is at the vertex of the parabola, we use the formula x= -b/2a
A quadratic equation is such: ax²+bx+c
Therefore x =-312/2×-12
x= -312/-24
x= 13
So we can conclude that in order to maximise oranges from the trees, the person needs to plant an additional 13 trees. Substituting from the above:
24+x=24+13= 37 trees in total
y= -12x²+312x+14400= -12×13²+312×13+14400= -2028+4056+14400
=16428 oranges in total yield
The number of trees that gives the most yield is 37
The given parameters are:
Trees per acre = 24Yield = 600Represent the additional number of trees with x.
So, we have:
Trees per acre = 24 + xYield = 600 - 12xThe equation that represents the total yield (y) becomes
[tex]y = (24 + x) \times (600 - 12x)[/tex]
Expand
[tex]y= 14400-288x+600x-12x\²[/tex]
Evaluate the like terms
[tex]y= 14400+312x-12x\²[/tex]
Rewrite as:
[tex]y= -12x\²+312x+14400[/tex]
Differentiate
[tex]y'= -24x+312[/tex]
Set to 0
[tex]-24x+312 = 0[/tex]
Solve for x
[tex]-24x=-312[/tex]
[tex]x=13[/tex]
Recall that:
Trees per acre = 24 + x
This gives
[tex]Trees = 24 + 13[/tex]
[tex]Trees = 37[/tex]
Hence, the number of trees that gives the most yield is 37
Read more about quadratic functions at:
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Ethan sold 2/3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold
1/4 gallons. Who sold more lemonade, Ethan or Kayla? How much more?
Answer:
Ethan sold more
Step-by-step explanation:
2/3 and 1/4
Simplify to 8/12 and 4/12
8/12 is more
x/x+2 -4/x-2=1 solve the equation
i will mark the brainliest plz help
Answer: x = -2/3
[tex]\frac{x}{x+2}- \frac{4}{x-2}=1\\\\<=>\frac{x(x-2)}{(x+2)(x-2)}-\frac{4(x+2)}{(x+2)(x-2)}=1\\\\\\<=>\frac{x(x-2)-4(x+2)}{(x-2)(x+2)}=1\\\\\\=>x(x-2)-4(x+2)=(x-2)(x+2)\\\\\\<=> x^{2} -2x-4x-8=x^{2} -4\\\\\\<=>-6x-8=-4\\\\\\<=>-6x=8-4\\\\\\<=>-6x=4\\\\\\<=>x=-4/6=-2/3[/tex]
Step-by-step explanation:
how to graph g(x) = 3f(x) when f(x) = x
Step-by-step explanation:
f(x) = x
g(x) =3x
point if intersection
f(x) =g(x)
x = 3x
the secret number is grater than 75.
it has 9 tens.
it has a 3 in the ones places.
Answer:
The secret number is 93.
Find the value of two numbers if their sum is 17 and their difference is 3.
Step-by-step explanation:
x+y=17 (First equation)
x-y=3 (Second equation)
Solving Equation (i)
x+y=17
x=17-y(First equation)
Putting value of x in equation (ii)
x-y=3
x=3+y
17-y=3+y
17=3+y+y
17=3+2y
2y=17-3
y=14/2
y=7
Putting value of y in equation(i)
x=17-y
x=17-7
x=10
4х + 3y = 12
х = 5y - 20
Solve the system by substitution
Answer:
y=4 and x=0
Step-by-step explanation:
4(5y-20)+3y=12
20y-80+3y=12
23y-80=12
23y=92
y=4
Substitute y as 4 to get x.
Answer:
y=4
x=0
Step-by-step explanation:
4x + 3y = 12
X - 5y =-20
Multiply second equation by 4
4x + 3y = 12
4x - 20y = - 80
Subtract
23y = 92
y = 92/23
y =4
Put the value in first equation
4x + 12 =12
So 4x = 0
Therefore x= 0
Meg has a new bookcase for her bedroom with 6 shelves. Each shelf holds 8 books. If Meg has 50 books, how many books will not fit on the bookcase? OK 5MathTeaching Resources com D
Answer:
2 books
Step-by-step explanation:
8 x 6 = 48
Pls help me with number 4.)
Answer:
4 x [tex]\frac{3}{2}[/tex] = 6
Step-by-step explanation:
The division equation would be 4 divided by 2/3, but that is equal to 4 x 3/2 = 6.
Hope it helps! (I'm so sorry if it's wrong).
Answer:
2.66
Step-by-step explanation:
2/3 of 4 is the same as:
2/3 * 4 = (2/3) * (4/1)
By the rules for multiplying fractions, this is (2*4) / (3*1) = 8/3
8/3 is 2.66
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examining the records for all the students, the dean who randomly selects 76 students and finds that 58 out of 76 are receiving financial aid. Calculate the standard error of your estimate. 3.7061
Answer:
Standard error (S.E) = 0.048 ≅ 0.05
Step-by-step explanation:
Explanation:-
Given sample size 'n'=76
Given the dean who randomly selects 76 students and finds that 58 out of 76 are receiving financial aid.
Sample proportion
[tex]p = \frac{x}{n} = \frac{58}{76} = 0.7631[/tex]
The standard error is determined by
[tex]S.E = \sqrt{\frac{p(1-p)}{n} }[/tex]
[tex]S.E = \sqrt{\frac{0.763(0.2369}{76} }[/tex]
Standard error is 0.048 ≅ 0.05
A recipe for rice pudding calls for 2.5 cups of milk. The recipe makes 5 servings. How many cups of milk are needed to make 8 servings?
Step-by-step explanation
2.5 cups = 5servings
x cups = 8servings
2.5*8 = 5*x
20 = 5x
divide both sides by the coefficient of x
20/5 = 5x/5
4 = x
i.e x = 4
i hate school
AHHH im so depressed
;( im crying
omgggg i have a 59% in math
and a 78% in english
im gonna die
AHHHHHHHHHHHHHHHHH
Veronica has been saving dimes and quarters and has a total of 86 coins worth $9.00. How many
quarters does Veronica have?
Rolling a 2 on a number cube is
1. likely
2. unlikely
3. as likely as not (50/50)
4. impossible
5. certain
Answer:
2. unlikely
Step-by-step explanation:
The probability of rolling a 2 is 1/6, 0r 0.1666... .
Probabilities and their meanings:
0 - impossible
between 0 and 0.5 - from unlikely to almost as likely as not
0.5 - as likely as not
between 0.5 and 1 - from as likely as not to almost certain
1 - certain
This probability is 0.1666... which is in the category from 0 to 0.5. It is closer to 0 than to 0.5, so although it is not impossible, it is unlikely.
Answer: 2. unlikely
A box contains 2 red crayons, 6 blue
crayons, 5 green crayons, 9 yellow crayons,
and 3 purple crayons. A crayon is drawn
at random, not replaced, then another is
drawn. Find each probability,
P(yellow, then green)
P(both blue)
Answer:
yellow 9/25
yellow and green is 14/25
Using it's concept, it is found that the probabilities are given as follows:
P(yellow, then green) = 0.075 = 7.5%.P(both blue) = 0.05 = 5%.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 9 out of 25 are yellow, then 5 out of 24 will be green, hence:
P(yellow, then green) = 9/25 x 5/24 = 45/(25 x 24) = 0.075 = 7.5%.
For both blue, we have that they are, respectively, 6 out of 25 and 5 out of 24, hence:
P(both blue) = 6/25 x 5/24 = 30/(25 x 24) = 0.05 = 5%.
More can be learned about probabilities at https://brainly.com/question/14398287
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What is 9 times 9
It’s so hard
What is the value of sin {3sin^-1 (2/5)} ?
Answer:
[tex]\displaystyle \frac{118}{125}[/tex]
Step-by-step explanation:
Trigonometry
Calculate
[tex]\sin (3\sin^{-1}(2/5))[/tex]
We use the formula for the sine of triple angle:
[tex]\sin 3x=3\sin x-4\sin^3 x[/tex]
And recall:
[tex]\sin \sin^{-1}x=x[/tex]
For this problem, we set:
[tex]x=\sin^{-1}(2/5)[/tex]
Thus:
[tex]\sin 3x=3\sin (\sin^{-1}(2/5))-4\sin^3 (\sin^{-1}(2/5))[/tex]
[tex]\displaystyle \sin 3x=3*\frac{2}{5}-4\left(\frac{2}{5}\right)^3[/tex]
[tex]\displaystyle \sin 3x=\frac{6}{5}-4*\frac{8}{125}[/tex]
[tex]\displaystyle \sin 3x=\frac{6}{5}-\frac{32}{125}[/tex]
[tex]\displaystyle \sin 3x=\frac{6*25}{125}-\frac{32}{125}[/tex]
[tex]\displaystyle \sin 3x=\frac{150-32}{125}[/tex]
[tex]\mathbf{\displaystyle \sin 3x=\frac{118}{125}}[/tex]
Olivia's goal is to complete 200 sit ups Right now she is up to 50 sit ups What percentage of her goal has she reached?
What is the weight of a 32 kg child
Answer:
32000 grams
Step-by-step explanation:
The weight of a 32 kg child in pounds is 70.56 pounds.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
The weight of baby = 32 kg
Now,
Since, 1 kg = 2.205 pounds
So, We convert the weight of baby from kg to pounds as;
1 kg = 2.205 pounds
32 kg = 32 x 2.205 pounds
= 70.56 pounds.
Thus, The weight of a 32 kg child in pounds is 70.56 pounds.
Learn more about the measurement unit visit:
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Round 3,511.1 to the nearest ten.
Answer:
3,510
Step-by-step explanation:
3,511.1 is closer to 3,510 than it is to 3,520
42.1 in expanded form
Answer:
40+2+0.1
Step-by-step explanation:
Add 4/7+2/7. What is the sum in the lowest terms?
Answer:
6/7
Step-by-step explanation:
you already have a common denominator, so 4/7 plus 2/7 is 6/7
Answer:
[tex]\boxed{\frac{6}{7} }[/tex]
Step-by-step explanation:
[tex]\frac{4}{7} + \frac{2}{7}[/tex]
[tex]= \frac{4 + 2}{7}[/tex]
[tex]= \frac{6}{7}[/tex]
