Step-by-step explanation:
profit amount=150000-120000
profit amount=30000
profit %= profit amount/cost price*100
therefore profit percent=30000/120000*100
there for profit %=25%
The percentage of profit will be equal to 25%
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
The profit percentage will be calculated as:-
Profit amount = 150000-120000
Profit amount = 30000
Profit %= profit amount/cost price*100
Profit percent=30000/120000*100
Profit percentage = 25%
Therefore the percentage of profit will be equal to 25%
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caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe. Two caps are drawn wothout replacement from the wardrobe. What is the probability that both of the caps are blue?
Answer:
18/95
Step-by-step explanation:
What is probability?
Probability is simply the chances of something occuring.
As a formula, I like to say that formula = # of favorable outcomes / total # of outcomes
Where favorable outcomes is what we want to happen and total # of outcomes is the total number of possibilities.
In order to find the probability of the occurrence of something in a row, we multiply the individual probabilities of each action
Understanding the question
Here we are given that caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe and given this we want to find the probability of Caleb randomly selecting 2 blue caps without replacing it the first being drawn.
So here # of favorable outcomes = # of blue caps = 9
and
total number of outcomes = total # of caps = 7 + 4 + 9 = 20
Finding the probability
For first draw
First let's find the probability that caleb will select a blue cap the first time.
We know that probability = # of favorable outcomes / total # of outcomes
We also know that # of favorable outcomes = 9 and total # of outcomes = 20
Plugging this in, we get that the probability of Caleb randomly selecting a blue cap on the first draw is 9/20
For second draw
Because it says that caleb will not replace the cap when drawn it's important to subtract 1 from both the # of caps and # of blue caps
This results us in having # of favorable outcomes as 8 and total # of outcomes as 19
Plugging this in we get that the probability of Caleb drawing a blue cap the second time is 8/19
Finally to find the total probability of him selecting two blue caps in a row without replacing the first cap, we multiply the individual probabilities
From doing so we acquire 9/20 * 8/19 = 18/95
Answer:
18/95
Step-by-step explanation:
Probability Formula :
Probability (Event) = Number of outcomes with Event / Total outcomes
=============================================================
Given :
⇒ 7 black caps
⇒ 4 yellow caps
⇒ 9 blue caps
===========================================================
Solving :
P (1st cap is blue) :
⇒ Number of blue caps / Total caps
⇒ 9 / 7 + 4 + 9
⇒ 9/20
It mentions the cap is not replaced. Hence, when taking the probability of the 2nd cap, subtract a blue cap from the number of blue caps and the total.
P (2nd cap is blue) :
⇒ Number of blue caps - 1 / Total caps - 1
⇒ 9 - 1 / 20 - 1
⇒ 8/19
P (both caps are blue) :
⇒ P (1st cap blue) × P (2nd cap blue)
⇒ 9/20 × 8/19
⇒ 9/5 × 2/19
⇒ 18/95
What is the approximate solution to this equation?
7e^6x=42
Answer:
Rounding to nearest tenth, the answer is 0.3.
Step-by-step explanation:
[tex]\sf 7e^{6x}=42\\\frac{7e^{6x}}{7}=\frac{42}{7}\\e^{6x}=6\\[/tex]
[tex]\sf 6x = \ln(6)\\\\isolate~"x"~and~re-arrange\\\\x=\frac{\ln(6)}{6}[/tex]
≈ [tex]0.3[/tex]
Solve the inequality
x² + 6x + 8 <0
Answer:
look above
Step-by-step explanation:
hope it hepls
the ratio of the similar rectangular prisms is 8 to 10 and the surface area of the smaller solid is 112 cm cubed. what is the surface area of the larger solid??
Answer:
140
Step-by-step explanation:
10/8 = 1.25
1.25 * 112 = 140
Which of the following sets of numbers could represent side lengths of a right triangle?
Answer:
6m,8m,10m
Step-by-step explanation:
6m,8m,10m represent side lengths of a right triangle.
Proof :
for right angled triangle,
p^2 + b^2 = h ^ 2
6^2 + 8^2 = 10^2
36 + 64 = 100
100= 100{True}
proved
Answer:6m,8m,10m
Step-by-step explanation:
Find the equation of the parabola with its focus at (–7,6) and its directrix at y = 4
The equation of the parabola with its focus at (–7,6) and its directrix at y = 4 will be (x + 7)² + 5.
How to illustrate the equation?By drawing the graph, it's can be depicted that the equation in this scenario is x² + 14x + 54.
Complete the square on the expression. This will be done by adding 49. This will be:
= x² + 14x + 7² + 54 - 49
= (x + 7)² + 5
Therefore, the equation of the parabola with its focus at (–7,6) and its directrix at y = 4 will be (x + 7)² + 5.
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8. Which of these is the primary reason for the extinction of a species?
loss of habitat
overhunting
O pollution
Osudden environmental changes
Answer:
my bet would be d)
Step-by-step explanation:
ur asking math students btw
The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3:2. Find their present ages.
Answer:
a: 20
b : 15
Step-by-step explanation:
3*5 = 15
2*5 = 10
15-10 = 5
15+5 = 20
10+5 = 15
Answer:
Let:
Present age of B be 'x' years. Present age of A be ( x + 5 ) years.[tex] \: [/tex]
5 years ago,
Age of A = (x + 5) - 5 years = x years.Age of B = ( x - 5 ) years.[tex] \: [/tex]
According to the question,
[tex] \quad [/tex][tex] \quad [/tex][tex] \quad [/tex][tex]{ \large{ \rm{ \frac{x}{x - 5} = \frac{3}{2} }}} [/tex]
[tex]{ \green{ \implies}}{ \sf{2x = 3(x - 5)}}[/tex]
[tex]{ \green{ \implies}}{ \sf{2x = 3x - 15}} [/tex]
[tex]{ \green{ \implies}}{ \sf{3x - 2x = 15}} [/tex]
[tex]{ \green{ \implies}}{ \sf{x = { \boxed{ \pink{15}}}}} [/tex]
[tex] \: [/tex]
Therefore,
Present age of B (x) = 15 years.
Present age of A (x + 5) = 20 years.
NEED HELP,THANKS!!!!!!!
Answer:
I think it is 3.750
Step-by-step explanation:
Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction.
Which statement describes the shape of the barrier?
A.
a circle with a radius of 5 feet
B.
a square with diagonals 5 feet long
C.
a circle with a diameter of 5 feet
D.
a square with sides 5 feet long
The shape of the barrier is a a circle with a diameter of 5 feet.
What is a circle?
A circle is a bounded figure which points from its center to its circumference is equidistant. The diameter of a circle is a straight line that passes through the center of the circle and touches two points on the circumference of the circle.
If all points from the flower is 2.5 feet, it means that the barrier has the shape of a circle.
Diameter = radius x 2
2.5 x 2 = 5 feet
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What is the total number of different 10-letter arrangements that can be formed using the letters in the word FORGETTING?
Using the arrangements formula, it is found that 907,200 arrangements can be formed using the letters in the word FORGETTING.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
When there are repeating elements, with the number of times given by [tex]n_1, n_2, \cdots, n_n[/tex], the number of arrangements is given by:
[tex]A_n^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}[/tex]
In this problem, the word FORGETTING has 10 letters, of which G and T repeat twice, hence the number of arrangements is given by:
[tex]A_{10}^{2,2} = \frac{10!}{2!2!} = 907,200[/tex]
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If x=-3 and 2x+5y=-1 what is the value of y?
Answer:
y=1
Step-by-step explanation:
Start by plugging in -3 for x in the equation 2x+5y=-1 then solve for y.
2(-3)+5y=-1
-6+5y=-1 (add 6 to both sides)
5y=5 (divide both sides by 5)
y=1
Find the value of each variable.
Please help
Step-by-step explanation:
a is the interior angle of the 2 opposing arc angles. the interior angle is the mean value between the 2 arc angles.
a = (145 + 45)/2 = 190/2 = 95°
b is the simply the supplementary angle to a (meaning together they are 180°, because the sum of all angles around a single point on one side of a line is 180°).
b = 180 - 95 = 85°
the length of nicks garden is equal to its width. Nick is going to enlarge his garden by making each side 20% longer.How much will the area of the garden increase
Answer:
44%
Step-by-step explanation:
Existing garden: L*W, where L and W are the length and width (We'll assume meters, but it can be any other linear measurement, such as miles, cm, or feet, etc.).
Area, A1 = L*W
New Area, A2 = (1.2L)*(1.2W)
A2 = (1.2)*(1.2)*(L*W)
Since L*W = A1, we can write A2 = 1.44*A1
New Area = 1.44 the original area, a 44% increase.
Select the type of equations.
consistent
equivalent
Inconsistent
The type of equation is (a) consistent equations
How to determine the type of equation?The attached figure completes the question
From the graph, we can see that the two lines are not parallel and they do not represent the same line
This means that the lines are consistent
Consistent lines produce consistent equations
Hence, the type of equation is (a) consistent equations
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Write a rule to describe the transformation
Solve -32x + 3 < 5.
A. > 3 and x < 3
OB. > -3 and x < 1
OC. x > 3 or x ≤ 1
Answer:
Negative one over 6
Step-by-step explanation:
you must download mathspapa
and write that number to solve it
(08.05 LC)The histogram shows the number of prizes won by different numbers of students at a sports competition. Which of the following statements is correct regarding the number of students and the number of prizes won? A histogram titled Prizes Won is shown. The horizontal axis is labeled Number of Prizes with bins 0 to 3, 4 to 7, 8 to 11, and 12 to 15. The vertical axis labeled Students with values from 0 to 10 at intervals of 1. The first bin goes to 3, the second goes to 6, the third goes to 1, and the last goes to 9.
Answer:
It is C.
Step-by-step explanation:
First thing you would do is go through all the information and read the options then what you would do is see the labels and its will try to throw you off at A. saying that its Prizes instead of students that has won the prizes so there for
C. Six prizes were won by 4, 5, 6, or 7 students.
is your answer
Hi if you can give me a clear explanation that would be great! :)
1) segment ab has endpoints a(-3,1) and b(2,-6). suppose that point b is translated to b (-1,-8)
-how far away is point b from point a?
-how far did point b move to get to point b?
The distance of point a from translated b is 9.2 units and the distance of point b from translated b is 3.6 units
What is a line?A line is the distance between two points.
Analysis:
point a( -3,1) point b(2, -6) point translated b(-1, -8)
Distance ab = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
Distance ab = [tex]\sqrt{(-1--3)^{2} + (-8-1)^{2} }[/tex] = 9.21 units
Distance btb = [tex]\sqrt{(-1-2)^{2} + (-8- -6)^{2} }[/tex] = 3.6 units
In conclusion, the distance of b from a is 9.2 units and b from b is 3.6 units.
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can someone help me with these questions, don’t mind the answers written already
Answer:
a) x value is -2, min is -3(if thats y)
b) x value is 3, max is 21(if thats y)
Step-by-step explanation:
yes you do quadratic formula and such :)
A beverage company produces cans of lemonade. According to the label a can contains a volume of 375mL of lemonade. A consumer group tested this claim by measuring the volume of lemonade in 2,500 cans. They found that the volume was normally distributed with a standard deviation of 5mL and a mean of 372mL.
If a can is chosen at random, find:
P (its volume is ≥382mL)
The probability that the volume of a can chosen at random is ≥382 is 0.47725
Normal distribution probabilityProbability is the likelihood or chance that an event will occur. For the given question, we need to calculate the z value as shown;
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
Given the following parameters
[tex]x=382mL\\\mu (mean)=372mL\\\sigma(S.D)=5mL[/tex]
Substitute
[tex]z=\dfrac{382-372}{5} \\z=\dfrac{10}{5}\\ z=2[/tex]
In order to calculate the probability that the volume of a can chosen at random is ≥382, we will look for (z≥2)
z≥2 according to probability table is equivalent to 0.47725
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Simplify 4 + (-3) - 2 times (-6)
Step-by-step explanation:
[tex] = 4 + ( - 3) - 2 ( - 6)[/tex]
here ( + ) × ( - ) = ( - )
[tex] = 4 - 3 + 12[/tex]
[tex] = 4 + 12 - 3[/tex]
[tex] = 16 - 3[/tex]
[tex] = 13[/tex]
The correct result of this simplification is 13
To solve this question, we'll just apply the rule of signs - and then we'll calculate the operations.
- In the sign rule - when both signs are equal, the result will be positive. If the signs are different, the result is negative.
- ( - ) = ++ ( + ) = +- ( + ) = -+ ( - ) = -Resolution4 + ( - 3 ) - 2 · ( - 6 )
4 - 3 - ( - 12 )
4 - 3 + 12
1 + 12
13
Therefore, the alternative value will be 13
A garden supply store sells two types of lawn mowers.Total sales of mowers for the year were $8379.79. The total number of mowers sold was 30. The small mower costs $249.99. The large mower costs $329.99. Find the number of large mowers sold.
a.
11
c.
17
b.
19
d.
9
Please select the best answer from the choices provided
A
B
C
D
Answer:
value + value = 8379.70
249.99x + 329.99*30-329.99x = 8379.70
-80x + 9899.70 = 8379.70
-80x = -1520.00
x = 19
30-x = 11
Step-by-step explanation:
Which of these is not a possible r-value?
A. 1.2
B. -0.1
OC. 0.5
D. -0.75
Answer:
A) 1.2
Step-by-step explanation:
R can never be greater than 1
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Simplify:
7x³ + 5x² -2 = [?]
X=-1
Answer: - 4
Step-by-step explanation:
Since x is already given, which is -1, just substitute the value.
7 * -1 * -1 * -1 + 5 * -1 * -1 - 2
7 * -1 + 5 * 1 - 2
-7 + 5 - 2
-2 - 2 = - 4
7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent row increases by 16. how many rows of seats does the arena have?
The number of rows in the arena is 26
How to determine the number of rows?The hockey arena illustrates an arithmetic sequence, and it has the following parameters:
First term, a = 220Sum of terms, Sn = 10920Common difference, d = 16The number of rows (i.e. the number of terms) is calculated using:
[tex]S_n = \frac{n}{2}(2a + (n -1) * d)[/tex]
So,we have:
[tex]10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)[/tex]
Evaluate the terms and factors
[tex]21840 = n(440 + 16n -16)[/tex]
Evaluate the like terms
21840 = n(424+ 16n)
Expand
21840 = 424n + 16n^2
Rewrite as:
16n^2 + 424n - 21840 = 0
Using a graphical tool, we have:
n = 26
Hence, the number of rows in the arena is 26
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The data in this table represents the production of frozen dessert in millions of gallons per month. This data was then graphed in a Bar Graph. Which statement describes why the Bar Graph is not properly drawn? A. The number of desserts represented by each bar is incorrect. B. The intervals along the vertical axis are unequal. C. Not all of the types of frozen desserts are represented in the Bar Chart. D. The width of the bar representing Regular Ice Cream is more than the width of the other bars.
The statement that describes why the Bar Graph is not properly drawn is D. The width of the bar representing Regular Ice Cream is more than the width of the other bars.
What is a bar graph?A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths that are proportional to the values that they represent.
Here, the width of the bar representing Regular Ice Cream is more than the width of the other bars.
A bar graph plots data using rectangular bars or columns that represent the total amount of observations in the data for that category.
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What is the value of x in the figure below?
Let's see
[tex]\\ \rm\dashrightarrow \dfrac{9}{x}=\dfrac{24}{12}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{9}{x}=2[/tex]
[tex]\\ \rm\dashrightarrow x=\dfrac{9}{2}[/tex]
[tex]\\ \rm\dashrightarrow x=4.5[/tex]
If f(x) = 5x, what is fr¹(x)?
Answer:
The first one
Step-by-step explanation:
The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 4 feet tall and 6 feet wide
The Pythagorean theorem also known as the Pythagoras' theorem, is the basic relationship between the three sides of a right triangle. The length of the diagonal of the screen is 7.211 ft.
What is Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Given the diagonal is 4 feet tall and 6 feet wide. Therefore, using the Pythagorean theorem, The length of the diagonal of the screen can be written as,
[tex]\text{Length of the diagonal} = \sqrt{4^2+6^2} = \sqrt{52} = 7.2111\rm\ ft[/tex]
Hence, the length of the diagonal of the screen is 7.211 ft.
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