An item is regularly priced at $30. It is on sale for 20% off the regular price. How much in dollars) is discounted from the regular price?
Answers
$6
Explanation:
When finding percent discounts or percents of values, you can use this simple trick:
Move the decimal of the percentage to the left twice. For example, 20.00% becomes 0.2. Then, multiply that decimal by the original value (30).
30*0.2 = $6 discount
Hope this helps!
30 x 0.2 = $6 dollars
Related Questions
Your verified answer for the question Bethany is making a rectangular fenced – in area for her rabbit in her yard. The area measures 4 3/4 feet wide by 2 yards long. What is the total length of fencing, and feet, that Bethany will need?
You must first do perimeter which the formula is 2(L) + 2( W ) the answer will then be 21 1/2
Answers
Answer:
21 1/2 Feet
Step-by-step explanation:
Change 2 yards into feet. 2 yards will be 6 feet.
The perimeter will be
6 + 6 + 4 3/4 + 4 3/4
12 + 8 6/4 Which is the same as
12 + 8 + 4/4 + 2/4 I broke 6/4 up into 4/4 and 2/4 because another name of 4/4 is 1
12 + 8 + 1 + 2/4
21 2/4 2/4 can be simplified to 1/2
21 1/2 feet
Helping in the name of Jesus.
A 2-pound can of coffee sells for $3.38, and a 5-pound can of the same brand of coffee sells for $8.50. Which is the better buy?
Answers
Answer:
Step-by-step explanation:
Two pounds
2 pounds of coffee sells for $3.38
1 pound of coffee sells for 3.38 / 2 = $1.69
Five Pounds
5 pounds of the same coffee sells for $8.50
1 pound of the same coffee sells for $8.50 /5 = 1.70
By a very narrow margin, the 2 pounds of coffee is the better buy.
You would rather pay 1.69 for a pound of something, when your only other choice is 1.70 for the same thing.
*Tom and Bob are brothers and they each had the same amount of money which they put together to buy a toy. The cost of the toy was $22. If the cashier gave them a change of 6$, how much money did each have?*
Answers
Answer:
See below.
Step-by-step explanation:
So, we need to find how much money each boy had. They had to pay 22, but was given 6 back. So they paid 6 bucks extra.
22+6=28
There are two boys, so divide the amount that was paid by 2.
28/2=14
So, each boy paid 14 dollars.
-hope it helps
Find f. f ''(x) = −2 + 36x − 12x2, f(0) = 8, f '(0) = 18 f(x) =
Answers
Answer
its confusing
Step-by-step explanation:
Factor –7x3 + 21x2 + 3x – 9 by grouping.
Answers
Answer:
(-x+3)(7x^2-3)
Step-by-step explanation:
. Where is the vertex of the graph that represents y=(x−2)2−8 ? Type the answers in the boxes below. ( , ) b. Where is the y -intercept? Type the answers in the boxes below.
Answers
The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
Given equation :
y=(x−2)2−8
y = 2x - 4 - 8
= 2x - 12
The final equation is y = 2x - 12.
Compare this equation with slope and y-intercept formula :
y = mx+c
So that c = -12
The value of y-intercept according to the solution is -12.
To find the vertex. Let's assume x=0; Substitute in the equation
y = 2(0) -12
y = -12
The first vertex will be (0, -12)
If x = 1; y = 2(1) -12
y = -10
Then the second vertex will be (1, -10).
Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
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Solve the equations by substitution
2x - y = 2
3x + 4y = 6
Answers
Answer:
i hope its readable lol-
What is the value of the digit in the ones place?
2,615
A. 50
B. 5
OC. 2,000
OD. 100
Answers
we send a bit over the internet and the probability of successfully receiving it is 0.5. we define the random variable x
Answers
As the number of successful bit transmissions in a sequence of 10 bits sent over the internet. Then x follows a binomial distribution with parameters n=10 and p=0.5.
Binomial Distribution SummaryThe binomial distribution models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has only two possible outcomes: success or failure. In this case, the number of trials is 10 (n=10) and the probability of success in each trial is 0.5 (p=0.5).
Since each bit transmitted over the internet can be considered a Bernoulli trial, it follows that the number of successful transmissions (x) follows a binomial distribution with parameters n=10 and p=0.5.
These properties make the binomial distribution a useful model for situations where the number of trials is fixed, each trial is independent, and each trial has only two possible outcomes.
In the example of sending bits over the internet, each bit transmission can be considered a Bernoulli trial, so the number of successful transmissions follows a binomial distribution.
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Which of the following is an even function?
Answers
The solution is, f(x) = 7 is a even function.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
Solution:
Given that we have to find the even function
A function is even if and only if f(–x) = f(x)
Steps to follow:
Replace x with -x and compare the result to f(x).
If f(-x) = f(x), the function is even.
If f(-x) = - f(x), the function is odd.
If f(-x) ≠ f(x) and f(-x) ≠ -f(x), the function is neither even nor odd.
now,
Option 4
f(x) = 7
f(-x) = 7
Thus f(-x) = f(x)
Thus it is a even function.
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please help me i really need it
Answers
Answer:
C.
Step-by-step explanation:
The y-intercept is the cost of a one time fee for renting bowling shoes.
Answer:
it's B Or D Id say it's D
Step-by-step explanation:
It's D because it's definitely not a drink so not A and when you read y is something that it's not shoes so the most one I think is correct is D
Let the function f be defined by the equation
y = f(x),
where x and
f(x)
are real numbers. Find the domain of the function. (Enter your answer using interval notation.)
f(x) = x3 − 5x + 3
Answers
Answer:
Domain: \((-\infty,\infty)\)
Step-by-step explanation:
The domain of a function is all values of x such that f(x) exists.
In our case we have the following function:
\(f(x)=x^{3}-5x+3\)
We know that x and f(x) are real numbers, therefore the domain will be the interval \((-\infty,\infty)\), or in other words, the domain is all real numbers.
I hope it helps you!
Evaluate the function rule for the given value.
y = 8 ∙ 3x for x = 4
1944
647
96
648
Answers
Answer:
96
Step-by-step explanation:
y=8.3x
x=4
Substituting x as 4,
y=8*3*4
y=8*12
y=96
Hence, x=4, y=96
4x(x2-4x+5)-2x2(2x2-8x-1)
Answers
Simplify the expression.
−4x^4+20x^3-14x^2+20x
Identify the x- and y-intercepts of the graph.
y = (x − 1)2
Answers
y-int: (0,-2)
to find x-int plug in 0 for y
0= (x-1)2
Solve for x
2x-2=0
2x= 2
x=1
to find y-int plug in 0 for x
y=(0 - 1) 2
y= (-1)2
y= -2
Roy is skiing on a circular ski trail that has a radius of 0.7 km. Roy starts at the 3-o'clock position and travels 2.15 km in the counter-clockwise direction. a. How many radians does Roy sweep out? _____ radians Preview b. When Roy stops skiing, how many km is Roy to the right of the center of the ski trail? _____ v km Preview c. When Roy stops skiing, how many km is Roy above of the center of the ski trail? _____ * km
Answers
Part a: Roy sweeps out 2.15/0.7 radians.
Part b: When Roy stops skiing, he is cos(3.071)(0.7) km to the center of the ski trial
Part c: When Roy stops skiing he is sin(3.071)(0.7) km above the centre of the ski trail
The radius of the ski trail= 0.7 km
Roy starts 3 o'clock position and travels 2.15 km in the counter-clockwise direction.
Let O be the centre of ski trial, A be the starting point(3-o'clock position) and consider he is now at point B.
Now, using the formula for arc length.
Arc length=(Radius)(angle at center)
2.15=(0.7)θ
θ=2.15/0.7
Roy sweep out 2.15/0.7 radians.
Part b:
When Roy stops skiing how many km is Roy to the right of the ski trial
In part, a figure draws the vertical line from point B on the horizontal line. Get the right-angle triangle
Here to find the length OP. In right angle triangle cos θ=Adjacent side/hypotenuse,
As in part, a central angle is 2.15/0.7=3.071.
Therefore,
cos(3.071)=OP/0.7
OP=cos(3.071)(0.7)
cos(3.071)(0.7) km.
Part c:
When Roy stops skiing how many km is Roy above the centre of the ski trial
From figure part of part b, we have to calculate side BP.
In right angle triangle sin(θ)=Opposite side/hypotenuse
Therefore,
sin(3.071)=BP/0.7
BP=sin(3.071)/(0.7)
sin(3.071)(0.7) km.
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In HIJ, the measure of angle J=90 degrees, the measure of angle H=8 degrees, and HI=30 feet. Find the length of IJ to the nearest tenth of a foot.
Answers
Answer:4.2
Step-by-step explanation:
the line with a slope of 9/7 & containing a midpoint of the segment whose end points are (2, -3) & (-6, 5)
Answers
1. Find the midpoint of the segment using the midpoint formula:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)
Midpoint = (-4 / 2, 2 / 2)
Midpoint = (-2, 1)
2. Use the midpoint and the slope to find the equation of the line in point-slope form. The point-slope form is given by:
y - y1 = m(x - x1), where (x1, y1) is the midpoint and m is the slope.
Substituting the values:
y - 1 = (9/7)(x - (-2))
y - 1 = (9/7)(x + 2)
y - 1 = (9/7)x + (18/7)
3. Simplify the equation to obtain the slope-intercept form:
y = (9/7)x + (18/7) + 1
y = (9/7)x + (18/7) + (7/7)
y = (9/7)x + (25/7)
So, the equation of the line with a slope of 9/7 and containing the midpoint of the segment with endpoints (2, -3) and (-6, 5) is y = (9/7)x + (25/7).
Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:
y = (9/7)x + 25/7.
Step-by-step explanation:Step 1: Find the midpoint of the line segment.
The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:
Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)
Midpoint = (-4 / 2, 2 / 2)
Midpoint = (-2, 1)
So, the midpoint of the line segment is (-2, 1).
Step 2: Write the equation of the line using the slope-intercept form.
The slope-intercept form of a line is given by:
y = mx + b
where m is the slope and b is the y-intercept.
Given the slope as 9/7, we have:
y = (9/7)x + b
Step 3: Substitute the coordinates of the midpoint to find the value of b.
Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:
1 = (9/7)(-2) + b
1 = -18/7 + b
To find the value of b, we can solve this equation:
1 + 18/7 = b
25/7 = b
Step 4: Write the final equation of the line.
Using the value of b, the equation becomes:
y = (9/7)x + 25/7
When does a negative exponent not move the base to the denominator
Answers
Answer:
If the base and the negative exponent is in the denominator already
Step-by-step explanation:
Normally, a base with a negative exponent moves to the denominator.
Example: (2^-3 = 1 / (2)^3 = 1/8)
However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.
Example: 2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54
One of the zeros of the polynomial function is 3.
f(x)=x4−x3−7x2+x+6
What is the factored form of the function?
f(x)=(x−3)2(x+1)(x+2)
f(x)=(x−3)(x+1)(x−1)(x+2)
f(x)=(x−3)(x+1)(x+2)2
f(x)=(x−3)(x+1)2(x+2)
Answers
Answer:
f(x)=(x−3)(x+1)(x−1)(x+2)
Step-by-step explanation:
The average rate of growth for human hair is about 0.3 millimeters per day. How many days will it take a hair that is 12 millimeters long to grow to be 16.5 millimeters?
Answers
It will take 15 days for the hair to grow from 12mm to 16.5mm
What do you mean by average rate?By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.
Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):
16.5mm - 12mm = 4.5mm
Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:
4.5mm ÷ 0.3mm/day = 15 days
Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.
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You are installing a rectangular pool in your backyard. The pool measures 24 feet by 16 feet. You also would like to build a concrete walkway around the pool. You have allocated 560 ft? of your backyard for both the pool and the walkway around it. How wide should you make the walkway?
Answers
Answer:
The walkway should be 2ft wide.
Step-by-step explanation:
Let x be the width of the walkway surrounding the pool.
The area including the pool is 560ft².
Let's solve for the value of x.
The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.
A = lw
560 = (24 + 2x)(16 + 2x)
560 = 384 + 48x + 32x + 4x²
4x² + 80x + 384 - 560 = 0
4x² + 80x - 176 = 0
Divide the whole equation by 4
x² + 20x - 44 = 0
(x + 22)(x -2) = 0
x = -22; x = 2
Since we are dealing with dimensions, take the one with the positive value.
x = 2ft
Let's check
560ft² = (24ft + 2x)(16ft + 2x)
560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))
560ft² = (24ft + 4ft)(16ft + 4ft)
560ft² = (28ft)(20ft)
560ft² = 560ft² ✔
Describe the graph of y = 1/(2x-10) - 3 compared to the graph of y = 1/xsee image
Answers
Answer:
Given equation is,
\(y=\frac{1}{2x-10}-3\)To graph the above equation.
y intercept: when x=0, we get y=-31/10
y intercept is y=-31/10
x intercept: when y=0 we get x=31/6
x intercept is x=31/6
Comparing the graph equation with y=1/x.
we can rewrite the equation as,
\(y=\frac{1}{2(x-5)}-3\)Since 2 in the denominator shirnk the graph y=1/x by 2, horizontal shift about 5 units (approximately) and vertical shift about -3 units.
Hence we get the graph as,
A high school is voting on a new mascot. Lion Eagle Bee Ninth Grade 45% 32% 23% Tenth Grade 36% 40% 24% Eleventh Grade 50% 28% 22% Twelfth Grade 40% 25% 35% Match the two-way table to the segmented bar graph.
Answers
The steps to create a bar graph are explained below.
To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.
Here is how we can match the two-way table to the segmented bar graph:
For the Lion mascot option, the segmented bar graph would have the largest segment for 11th grade, followed by 9th grade, 10th grade, and 12th grade.For the Eagle mascot option, the segmented bar graph would have the largest segment for 10th grade, followed by 11th grade, 9th grade, and 12th grade.For the Bee mascot option, the segmented bar graph would have the largest segment for 12th grade, followed by 9th grade, 10th grade, and 11th grade.By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.
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Victor collects data on the price of a dozen eggs
Answers
The data in Ascending Order is
1.39 > 1.40> 1.44 > 1.50> 1.60 > 1.65 > 1.80
What is Ascending Order?Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order. Natural numbers, for instance, are arranged in ascending order as follows: 1, 2, 3, 4, 5, 6, 7, 8, and so on.
Given:
we have data on the price of a dozen eggs
1.4, 1.5, 1.63, 1.44, 1.39, 1.65, 1.8, 1.65
In Ascending Order data is arranged from least to greatest.
smallest number is 1.39
and, greatest number is 1.80
Thus, data in Ascending Order is
1.39 > 1.40> 1.44 > 1.50> 1.60 > 1.65 > 1.80
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PLS HELP -
transponder for a toll bridge costs $22.50. With the transponder, the toll is $4 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $5.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
You need to cross the bride _ times?
Answers
Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.
What is meant by linear function ?To find out how many times you would need to cross the bridge for the costs of the two toll options to be the same, we need to set up an equation.Let x be the number of times you need to cross the bridge.For the transponder option: 22.50 + 4x = costFor the toll-by-plate option: 5.25x + 1.25x = costSince the costs of the two options need to be equal, we can set the two equations equal to each other and solve for x:22.50 + 4x = 5.25x + 1.25x + 22.504x = 5.25x + 1.25x0.75x = 22.50x = 30So you would need to cross the bridge 30 times for the costs of the two toll options to be the same.To learn more about linear function refer:
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Given the following values, find the perimeter of the figure shown below:
AB = 8 cm, BC = 3 cm, CD = 1 cm, DE = 2 cm, EF = 3 cm, and FG = 1 cm.
Do not include "cm" with your response.
Answers
The perimeter of the given figure for the given values is equal to 24units.
As given in the question,
Given values of the figure,
AB = 8 cm, BC = 3 cm, CD = 1 cm, DE = 2 cm, EF = 3 cm, and FG = 1 cm
HG = AB - (EF + CD)
= 8- (3 +1)
= 4 units
AH = (BC-DE)+FG
= (3-2)+1
=2units
Perimeter of the given figure
= AB + BC+ CD+ DE+ EF+ FG+ GH+ HA
= 8+ 3+ 1+ 2+ 3+ 1+ 4+ 2
=24 units
Therefore, the perimeter of the given figure for the given values is equal to 24units.
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What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answers
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
Find exact values for the following:
Answers
Answer:
-sqrt(2)
-sqrt(2)
1
1
Step-by-step explanation:
A triangle has a side with length 9 feet and another side with length 7 feet. The
angle between the sides measures 69°. Find the area of the triangle. Round your
answer to the nearest tenth
Answers
Answer:
63
Step-by-step explanation: