Charlie wants to buy a new bike. The bike costs $125 and he has a coupon for a 20% discount. How much money will he get to save with the discount?
Answers
Answer:
He will get to save 25 dollars.
Step-by-step explanation:
percentage formula:
($125×20) ÷ 100
(2500) ÷ 100
= 25
Answer:25
Step-by-step explanation: because you divide 11by20 hthen you add in th ermaneder
Related Questions
cos 2x= ___. Check all that apply.
A. sin² x - cos²x
B. 1-2 cos²x
C. 1-2 sin² x
D. 2 cos²x - 1
Answers
Answer:
C and D
Step-by-step explanation:
\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)
Jax bought a package of plastic utensils for a picnic. There are a total of 40 utensils,
and 10 of them are knives. What percent of the plastic utensils are knives?
4) Pick the model that represents the problem.
0%
0%
?
Submit
10
10
What percent of the plastic utensils are knives?
100%
40
100%
40
Answers
Answer:
25% were knives
Step-by-step explanation:
The population of North Carolina was approximately 9.5 million in 2010. The population has increased by about 1.3% per year. If the population continues to grow at this rate, in what year will North Carolina’s population reach 12 million?
Answers
The population of North Carolina will reach 12 million in the year 2028.
What is Population Growth?Population growth is defined as the increase in the number of people which is calculated using population growth rate.
Given that,
Population in 2010 = 9.5 million
Population is increasing to 1.3% per year.
Annual growth rate = 1.3% = 1.3/100 = 0.013
We have the population growth formula,
P = P₀ e^(r t)
Here, P₀ = 9.5 million = 9,500,000
and P = 12 million = 12,000,000
r = 0.013
We have to find t.
12,000,000 = 9,500,000 e^(0.013t)
120 / 95 = e^(0.013t)
Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,
㏑(12/9.5) = 0.013t × ㏑e
[㏑(12/9.5) ÷ 0.013] = t [since ln e = 1]
t = 17.97 ≈ 18 years
The year is 2010 + 18 = 2028
Hence in the year 2028, the population will be 12 million.
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Write an equation of the line that passes through (0, -1) and is perpendicular to the line y = 1/9x + 2
An equation of the perpendicular line is y =
Answers
The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.
To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.
The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.
Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.
y = -9x + b
Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:
-1 = -9(0) + b
-1 = b
Therefore, the y-intercept (b) of the perpendicular line is -1.
Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:
y = -9x - 1
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Please help if you can, this is due tomorrow.
In the diagram below, $\angle BAC=24^\circ$ and $AB=AC$.
If $\angle ABC=y^\circ$, what is the value of $y$?
[asy]
size(4.25cm);
pair a=(0,cos(pi/15)); pair b=(-sin(pi/15),0); pair c=-b; pair d=c+(1,0);
dot(a); dot(b); dot(c);
draw(c--a--b--c);
draw((2*a+3*b)/5-0.05*(cos(pi/15),-sin(pi/15))--(2*a+3*b)/5+0.05*(cos(pi/15),-sin(pi/15)));
draw((2*a+3*c)/5-0.05*(cos(pi/15),sin(pi/15))--(2*a+3*c)/5+0.05*(cos(pi/15),sin(pi/15)));
label(scale(0.75)*"$24^\circ$",a-(0,0.3),S);
label("$A$",a,N);
label("$B$",b,SSW);
label("$C$",c,S);
label(scale(0.85)*"$y^\circ$",b,NE);
[/asy]
Answers
The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
What is equation?Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.
From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.
This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.
In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
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Answer:
78
Step-by-step explanation:
for each parallel lines. you are given the measure of one angle
Answers
Answer:
The question is not complete
56 to 35 in ratio and simplest form
Answers
Answer:
The ratio 56 to 35 = 8 to 5 = 8/5
What translation would map C onto A?
A. (x – 7, y + 3)
B. (x + 3, y – 7)
C. (x – 3, y + 7)
D. (x + 7, y – 3)
Answers
Answer:
A
Step-by-step explanation:
consider the coordinates of points C and A
C (4, - 1 ) and A (- 3, 2 )
4 → - 3 in the x- direction is - 7
- 1 → 2 in the y- direction is + 3
then the translation rule is
(x, y ) → (x - 7, y + 3 )
one more and my little friend is done with school loll
Look at the following numbers: –7, 0, 7, 14 Which pair of numbers has a sum of 0?
Which pair of numbers has a sum of 0?
0, 7
–7, 7
7, 14
–7, 14
Answers
Answer:
-7 and 7
Step-by-step explanation:
-7+7=0
because they are opposite numbers
Step-by-step explanation:
-7+7= 0
it is hence -7 and 7
Benny has 72 teddy bears at his toy store. He wants to put them on 8 shelves with
the same number of bears on each shelf. How many teddy bears are on each shelf?
Answers
Answer: Answer below
Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.
we can verify our answer by doing 9x8 which equals 72.
Answer: 9
Step-by-step explanation:
bears divided by shelves = number of bears per shelf
72 bears divided by 8 shelves= 9 bears per shelf
The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground at a
distance of 1.75 miles from the base of the building. Using this information, find the height of the building.
Round to the nearest whole number.
Your answer is
Submit Question
feet.
Answers
The height of the building can be 649.44 ft
What is angle of elevation ?
angle of elevation states that the angle which is formed between line of sight and horizontal line.
Given, the base of the triangle is 1.75 mile. The angle opposite of the tall side, x, is 4 degrees.
height of the building is an unknown variable (x) .
tan(angle) = opposite length /adjacent length.
Opposite length is x, adjacent length is 1.75 mile, angle is 4 degrees.
tan(4º) = x / 1.75
rearrange for x
x = 1.75*tan(4º) = ~1.75*0.0699 miles.
x = ~0.123
Now to get feet, just multiply by 5,280 ft in one mile
Height of the building is 0.123 miles * 5280 ft/mile = 649.44 ft
Hence , The height of the building can be 649.44 ft .
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What is the value of n 8n-5=139
Answers
The value of 'n' is 18 in the given equation 8n - 5 = 139.
We have to find the value of 'n'.
To do so, we need to solve the given equation.
Let us see how we can solve the given equation.8n - 5 = 139
We need to find the value of 'n'.
Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.
To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18
Therefore, the value of 'n' is 18.
Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.
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DUE TDYYYYY!!!!!!!??
Answers
The values that used to create the box and whisker plot
[using these values]
Minimum value: Lower whisker: 12
Q1: 23.5
Q2 (median): 36
Q3: 46
Maximum value: Upper whisker: 56
Here, we have,
Step 1: Order the data set from smallest to largest:
12, 19, 28, 32, 34, 38, 45, 47, 50, 56
Step 2: Calculate the lower quartile (Q1), median (Q2), and upper quartile (Q3):
Q1 (25th percentile): The value that separates the lowest 25% of the data from the rest. Since we have 10 data points, the first quartile will be the average of the 2.5th and 3.5th data points. In our case, it's the average of the 2nd and 3rd data points:
Q1 = (19 + 28) / 2 = 23.5
Q2 (50th percentile or median): The value that separates the lowest 50% of the data from the rest. Since we have an even number of data points, the median will be the average of the 5th and 6th data points:
Q2 = (34 + 38) / 2 = 36
Q3 (75th percentile): The value that separates the lowest 75% of the data from the rest. Since we have 10 data points, the third quartile will be the average of the 7.5th and 8.5th data points. In our case, it's the average of the 7th and 8th data points:
Q3 = (45 + 47) / 2 = 46
Step 3: Calculate the interquartile range (IQR):
IQR = Q3 - Q1 = 46 - 23.5 = 22.5
Step 4: Determine the whiskers:
Lower whisker: The smallest value that is not smaller than Q1 - 1.5 * IQR
Upper whisker: The largest value that is not larger than Q3 + 1.5 * IQR
Lower whisker limit: 23.5 - 1.5 * 22.5 = -10
Upper whisker limit: 46 + 1.5 * 22.5 = 79.5
Our data points are all within these limits, so the lower whisker is at the smallest value, 12, and the upper whisker is at the largest value, 56.
Now, you can plot the box and whisker plot using these values:
Minimum value : Lower whisker: 12
Q1: 23.5
Q2 (median): 36
Q3: 46
Maximum value: Upper whisker: 56
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create a box and whisker plot for the following set of data
12, 19, 28, 32, 34, 38, 45, 47, 50, 56
The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H , applied to the pot. When H = 6 , T = 180 . What must the cooker setting be if it takes 4 minutes to boil the water?
Answers
Answer:
4.5
Step-by-step explanation:
Constant of proportionality = 6 x 180 = 1080
4 minutes = 60 x 4 = 240 seconds
H = 1080/240
H = 108/24
H = 18/4
H = 4.5
A list of consecutive integers begins with m and ends with n. If n - m = 66, how many integers are in the list?
Answers
Answer:
67.
Step-by-step explanation:
n - m = 66
The 66 includes the number m+1 up to and including n (buy not m).
So the number of integers is 66 +1 = 67
what percent of 75 is 57?
Answers
Answer:
76%
Step-by-step explanation:
57/75
(57 X 100)/ 75
5700/75
1900/25
76/1
76
Combine these radicals
3✓2 - 5 ✓2. BRAINLIEST
Answers
Answer: A, first one
Step-by-step explanation: screenshot
Select the sets that are not functions.
O E = ((6. 2). (7. 3). (6, -1). (5. 4)]
O A = {(1, 2), (2, 3), (3, 4). (4. 5)}
O C = [(-1, 3), (0.3), (1, 3), (2, 3)}
OB = {(1, 2), (2, 1), (3, 0), (4, -1)]
OD = {(1, 1), (1, 2), (1, 3), (1. 4)}
Answers
each year america.edu ranks the best paying college degrees in america. the following data show the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the college degrees with the highest mid-career salary (america.edu website). click on the datafile logo to reference the data. degree starting salary mid-career salary % increase aerospace engineering 59,400 108,000 82 applied mathematics 56,400 101,000 79 biomedical engineering 54,800 101,000 84 chemical engineering 64,800 108,000 67 civil engineering 53,500 93,400 75 computer engineering 61,200 87,700 43 computer science 56,200 97,700 74 construction management 50,400 87,000 73 economics 48,800 97,800 100 electrical engineering 60,800 104,000 71 finance 47,500 91,500 93 government 41,500 88,300 113 information systems 49,300 87,100 77 management info. systems 50,900 90,300 77 mathematics 46,400 88,300 90 nuclear engineering 63,900 104,000 63 petroleum engineering 93,000 157,000 69 physics 50,700 99,600 96 software engineering 56,700 91,300 61 statistics 50,000 93,400 87
Answers
Construct the histogram for the percentage increase in the starting salary by using 10 as the class width.
Answer Output using MINITAB software is given below at the end of answer (bar graph)
Frequency:
The frequencies are calculated by using the tally mark and the range of the starting salary is grouped and the range is from 40 to 120. Here the number of times each percentage increase repeats is the frequency of that particular class.
The width of class is 10.
Make a tally mark for each value in the corresponding revenue class and continue for all values in the data.
The number of tally marks in each class represents the frequency, f of that class.
Similarly, the frequency of remaining classes for the percentage increase is given below at the end of the answer.
The data represents the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid-career salary.
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Find three consecutive integers whose sum is 57????
Answers
Answer:18 19 20
Step-by-step explanation:"Consecutive" means that the integers will follow each other in value, for example: 1, 2, 3 or 4, 5, 6. Also, no decimals are needed here because "integers" are whole, counting numbers. Here is the set up: Let x= the first integer Then X+1= 2nd consecutive integer and x+2= 3rd .
Suppose that x=1 x+1= 1+1=2 and x+2=1+2=3 However, you need specific consecutive numbers whose sum is 57. Remember that sum means to add:
x+ (x+1) + (x+2) = 57 Addition of all 3 consecutive numbers Now solve for x
and substitute into each part to come up with the three integers:
3x + 3= 57 3x=54 x=54/3 = 18 x=18, x+1= 18+1=19 x+2=18+2=20
Check your answer: 18+19+20=57 57=57 Check
6plus 6 times 1 divide 9
Answers
Answer:
6+6x1/9= 6.66666666667
Thats the long way and i used mental math and quick math to get the answer :)
HAVE A WONDERFUL DAY
-ary
Answer:
6.666...
Step-by-step explanation:
6 + 6 * 1 / 9
6 + 6 / 9
6 + 2/3
6.666....
Does anyone mind giving me a hand answering this question?
Answers
Answer:
A. x = 4
B. ∠C = 80°
Step-by-step explanation:
A.The sum of interior angles in a pentagon is 540°. We can write an equation for the sum of angles using this fact. Clockwise from lower left, we have ...
140° +(20x)° +100° +(16x +16)° +(160 -5x)° = 540°
31x +416° = 540° . . . . . . collect terms
31x = 124° . . . . . . . . . . subtract 416°
x = 4
__
B.The measure of angle C is found by substituting the value of x into the given expression for angle C.
(16x +16)° = (16(4) +16)° = 80°
Angle C is 80°.
_____
Additional comment
It can be useful to remember that the sum of interior angles of an n-gon is ...
(180°)(n -2)
This can be derived from the fact that the sum of exterior angles is always 360°.
These relations apply to convex polygons. YMMV when there are reflex angles or when sides cross each other.
Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. Show the work(the steps)! Write an equation of the corresponding quadratic function. How parabola opens? What is the maximum product? Does this function has a maximum value or the minimum value? Explain. Graph the function and upload the image.
Answers
The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.
To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.
Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.
To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:
P(x) = x(24 - x)
This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.
The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.
To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.
Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.
So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.
Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.
To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]
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WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
Answers
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
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What is the y-intercept of this graph
Answers
Answer:
0
Step-by-step explanation:
It goes through 0 it goes through the origin
At a basketball game, for every 2 baskets team A scored, team B scored 5 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is choices: 2 to 3, 2 to 5, 3 to 2, 5 to 2
Answers
The ratio of the number of baskets scored by team A to the number of baskets by team B is 2: 5. Then the correct option is B.
In a basketball game, team B scored 5 baskets for every 2 that team A scored.
The utilization of two or more additional numbers that compares is known as the ratio.
Assume that Team A scored two baskets while Team B netted five.
The problem statement states that for every two baskets Team A scored, Team B scored five. This may be expressed as the ratio shown below:
Ratio = 2x : 5x
Ratio = 2: 5
Thus, the correct option is B.
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Janct was driving home from work at a speed of 40 mph. Realizing she forgot her documents as she arrived home, she then drove back to work at a speed of 60 mph. What is her average speed for the entire trip?
A. 48 mph
B.49 mph
C. 50 mph
D. 52 mph
Answers
Answer: 50 mph
Step-by-step explanation:
average speed = 2 * (speed1 * speed2) / (speed1 + speed2)
In this case,
speed1 = 40 mph (driving home)
speed2 = 60 mph (driving back to work)
average speed = 2 * (40 * 60) / (40 + 60)
average speed = 2 * (2400) / (100)
average speed = 4800 / 100
average speed = 48 mph
So, Janet's average speed for the entire trip is 48 mph (Option A).
What is the meaning of the y-intercept in the context of the problem? A. The tablet starts with 30 percent of battery remaining. B. After 30 hours, the tablet will have 0 battery left. C. The tablet will not have any battery remaining after 3 hours. D. The tablet loses 3 percent of battery every hour.
Answers
Solving provided question, we can say that equation of slope intercept will be => y - 30 = mx - 3m
what is slope intercept?In mathematics, the intersection point is the place on the y-axis where the slope of the line crosses. a place where the y-axis crosses on a line or curve. Y = mx+c, where m stands for the slope and c for the y-intercept, is used as the equation for the straight line to show this. The slope (m) of the line and its y-intercept (b) are emphasised in the equation's intercept form. When an equation has the intercept form (y=mx+b), the slope is m and the y-intercept is b. Some equations can also be rewritten such that they seem to be slope intercepts. If y=x is rewritten as y=1x+0, for instance, the slope and y-intercept are both changed to 1.
from the provided graph,
the coordinates are (3,30)
equation of slope intercept will be
y - 30 = m(x - 3)
y - 30 = mx - 3m
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14 points!! PLEASE HELP MARKING BRAINLIST
Answers
Answer:
x = 58.03°
Step-by-step explanation:
Given:
17 cm is the length of the hypotenuse9 cm is the length of the adjacent sideSolve for x:
cos x = adjacent / hypotenusex = \(cos^{-1}(\frac{adjacent}{hypotenuse})\)1. \(x=cos^{-1}(\frac{9}{17})=58.03\)
Answer:
So, the measure of angle x is equal to 58.03.
Find the horizontal asymptotes: y=2x^2/3x^3 You must show your work and enter your answer below.
Answers
Answer:
y = 0
Step-by-step explanation:
You want the horizontal asymptote of y=2x^2/3x^3.
Horizontal asymptoteDegree of numerator: 2
Degree of denominator: 3
When the degree of the denominator (3) is greater than the degree of the numerator (2), the horizontal asymptote is ...
y = 0
__
Additional comment
This reduces to (2/3)(1/x). The value of 1/x approaches zero when the magnitude of x gets large.
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