Samantha buys $128 worth of goods at a 25% discount. If the sales tax rate is 6.4%, what is the total amount she will pay?
Answer:
To do this, you need to find the amount of discount of the original price. To find a percent of a number you first convert the percent to a decimal (i.e. 25% = 0.25). Then you multiply this decimal by the original price. Therefore, the sale price is $17.21. If example.
Step-by-step explanation:
Answer:
102.144
Step-by-step explanation:
128 times 0.25 = 32
128 - 32 = 96
96 times 1.064 = 102.144
She will need to pay 102.144
There are 7 people and they each want 5 cookies each box has 12 cookies how many boxes of cookies should they buy
Answer:
3
Step-by-step explanation:
They should by 3 because 7 people want 5 cookies so in total amount they need 35 cookies.
Each box has 12 cookies meaning if they buy 3 they get 36 cookies so they reach the total amount they need and they get 1 extra.
So answer is 3
____
Hope it helps have a great afternoon:)
find the circumfrence and area PLEASE SHOW THE WORK CORRECT ANSWER GETS BRAINLIEST
Therefore, the circumference of the circle is approximately 37.699 m and the area of the circle is approximately 113.097 square meters.
What is circle?A circle is a two-dimensional shape that is defined as a set of points that are equidistant from a single point in the plane, called the center. The distance between any point on the circle and the center is called the radius of the circle. A circle is a type of ellipse where the major axis and minor axis are the same length. Circles have many interesting properties, such as having a constant circumference-to-diameter ratio, which is denoted by the mathematical constant π (pi). Circles can be found in many real-world applications, such as in wheels, clock faces, and planets in our solar system. They are also widely used in mathematics and geometry for various calculations and proofs.
Here,
When the radius of a circle is 6 m, the circumference can be found using the formula:
Circumference = 2πr
where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.
Substituting r = 6 into the formula, we get:
Circumference = 2π(6)
= 12π
≈ 37.699 m
Therefore, the circumference of the circle is approximately 37.699 m.
The area of a circle can be found using the formula:
Area = πr²
where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.
Substituting r = 6 into the formula, we get:
Area = π(6)²
= 36π
≈ 113.097 sq. m
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A 5-member team is going to run a relay race on Course B. Each person has to run an equal distance in the race. Course B is 212 times as long as Course A. The length of Course A is 214 miles. How many miles should each team member run in the race
Each team member should run 9073.6 miles in the race on Course B.
Let's break down the problem step by step:
1. First, we need to find the length of Course B. We know that Course B is 212 times as long as Course A, and Course A is 214 miles. So, to find the length of Course B, we multiply:
Course B length = 212 × 214 miles
2. Calculate the length of Course B:
Course B length = 45368 miles
3. Now, we need to determine the distance each team member should run. There are 5 members on the team, and they need to run an equal distance on Course B. To find the distance for each member, we divide the total length of Course B by the number of team members:
Distance per member = Course B length / number of members
4. Calculate the distance per team member:
Distance per member = 45368 miles / 5
5. Finally, we find the distance each team member should run:
Distance per member = 9073.6 miles
So, each team member should run 9073.6 miles in the race on Course B.
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Hey anybody plz help me ;C
Answer:
her equation should be a² + 3² = 4²
Step-by-step explanation:
a² + 3² = 4²
a² + 9 = 16
a² = 7
a = \(\sqrt{7}\)
a ≈ 2.6 inches
Find the partial sum S₁7 for the arithmetic sequence with a = 3, d = 2. S17 = ________
To find the partial sum S₁7 for the arithmetic sequence with a first term (a) of 3 and a common difference (d) of 2, we can use the formula for the sum of an arithmetic sequence. Therefore, the partial sum S₁7 for the arithmetic sequence with a first term of 3 and a common difference of 2 is 323.
The formula for the sum of an arithmetic sequence is given by:
Sn = (n/2)(2a + (n-1)d)
In this case, we want to find the partial sum S₁7, which means we need to substitute n = 17 into the formula.
Plugging in the values, we have:
S₁7 = (17/2)(2(3) + (17-1)(2))
Simplifying the equation inside the parentheses, we get:
S₁7 = (17/2)(6 + 16(2))
Simplifying further:
S₁7 = (17/2)(6 + 32)
S₁7 = (17/2)(38)
Finally, evaluating the expression, we have:
S₁7 = 17(19)
S₁7 = 323
Therefore, the partial sum S₁7 for the arithmetic sequence with a first term of 3 and a common difference of 2 is 323.
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If you flip a coin and roll a six sided die what is the probability that you will flip a heads and roll at least a three
Answer:
1/3
Step-by-step explanation:
H3,H4,H5,H6
p=1/2×1/6+1/2×1/6+1/2×1/6+1/2×1/6
=4×1/2×1/6=1/3
A Fan was sold for Rs 1035 having 15% profit. If it was sold on 8%
loss, find the selling price.
hope its helpful to uh...
Amelia drives 10 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go? subquestion - how many minutes did she drive in total
Answer:
Amelia drove 90 miles in 3 hours.
Step-by-step explanation:
she drove 10 miles in 20 minutes
we multiply this by 3, and get
30 miles in an hour ( 60 minutes)
then we multiply this by 3 and get
90 miles in 4 hours (180 minutes) :)
provide an appropriate response. the length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 7.0 minutes and a standard deviation of 1 minute. find the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot.
By the distribution,6.3 minutes is the time limit that 75.8% of college students go over when looking for a parking space in the library parking lot.
Given that,
Finding a parking spot in the library parking lot takes college students an average of 7.0 minutes, with a standard deviation of 1 minute, according to a normal distribution.
Find the window of opportunity that 75.8% of college students miss when looking for a place in the library parking lot.
The following formula calculates the z-score of a measure X of a normally distributed variable with mean μ and standard deviationσ:
Z=(X-μ)/σ
The z-score calculates how far the measure deviates from the mean by standard deviation.
The p-value for this z-score, which is the percentile of X, can be obtained by looking at the z-score table.
The cut-off time is the 100th percentile minus 75.8th percentile, or X, for Z = -0.7, so:
Z=(X-μ)/σ
-0.7=(X-7)/1
-0.7=X-7
X=-0.7+7
X=6.3
Therefore, 6.3 minutes is the time limit that 75.8% of college students go over when looking for a parking space in the library parking lot.
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HELP HELP HELP ILL MARL BRAINLIEST TO WHOEVER
Answer:
x- 2
Step-by-step explanation:
What is the perimeter of quadrilateral ABCD?
O 15 units
O 17 units
O 18 units
o 20 units
Answer:
The perimeter of the quadrilateral ABCD is 20 units.
As, There are 4 angles in the quadrilateral.None of the 3 above options are the perimeter.
HELP ME ASAP 100 POINTS The height of a right square pyramid is multiplied by 6, but the dimensions of the base remain fixed. By what factor is the volume multiplied? A. 3 B. 6 C. 12 D. 36
Answer:
the answer is 3 b. multiplied by 6
The cost of 20⅕ oranges is rs 300,what is the cost of a kg oranges?
Answer:
weight not defined
Step-by-step explanation:
The cost of 20⅕ oranges is rs 300 ,what is the cost of a kg oranges?
HOW ARE WE SUPPOSE TO KNOW THE WEIGHT IF ONLY THE PRICE IS GIVEN
Write an equation for a line perpendicular to y=2x+2 and passing through the point (6,-2)y =
The equation of the line is given as,
\(y=2x+2\)According to the slope-intercept form, the equation of a line with slope 'm' and y-intercept 'c', is given by,
\(y=mx+c\)Comparing with the given equation, the slope of the given line is,
\(m=2\)Theorem: The product of two slopes of two perpendicular lines is -1 always.
Let the slope of the perpendicular line be (m'), and 'b' be the y-intercept. Then, it follows that,
\(\begin{gathered} m^{\prime}\cdot m=-1 \\ m^{\prime}\cdot(2)=-1 \\ m^{\prime}=\frac{-1}{2} \end{gathered}\)The equation of this perpendicular line is given by,
\(\begin{gathered} y=m^{\prime}x+b^{\prime} \\ y=(\frac{-1}{2})x+b^{\prime} \end{gathered}\)Given that the perpendicular lines pass through the point (6,-2), so it must also satisfy its equation,
\(\begin{gathered} -2=(\frac{-1}{2})(6)+b^{\prime} \\ -2=-3+b^{\prime} \\ b^{\prime}=-2+3 \\ b^{\prime}=1 \end{gathered}\)Substitute this value back in the equation of the perpendicular line,
\(y=\frac{-1}{2}x+1\)Thus, the equation of a line perpendicular to the given line and passing through the given point is obtained as,
\(y=\frac{-1}{2}x+1\)PLEASE HELP WILL GIVE BRAINLIEST
15-10 dividid by 5 times 2^2 in the correct order
Answer:
12 1/2
Step-by-step explanation:
Answer:
your answer is 4x
Step-by-step explanation:
15-10 is 5
5 divided by 5 is 1
1 times 2 greater than 2 is 4
4x is your answer
Have a good day
Factor
16x^3 + 8x^2 + x
Point P, located at (-3, -4), is reflected across the y-axis.
What are the coordinates of this point after this transformation?
A. (3, -4)
B. (3, 4)
C. (4, 3)
D. (-3, 4)
Answer:
A. (3,-4)
Step-by-step explanation:
The rule to follow for reflecting a point across the y-axis is to take the original coordinate (x, y) and change it to (−x, y)
The first part of the 630-mile journey was by car at 30 mph. The second part was by bus at 60 mph. If the total time was 14 hours, how many miles was traveled by bus
The total distance traveled by bus is 420 miles.
Let's denote the distance traveled by car as "x" miles.
The time taken for the car journey can be calculated by dividing the distance by the speed:
Time taken by car = x miles / 30 mph = x/30 hours.
The remaining distance, which was traveled by bus, would be the total distance of 630 miles minus the distance traveled by car:
Distance traveled by bus = 630 miles - x miles = (630 - x) miles.
The time taken for the bus journey can be calculated by dividing the distance by the speed:
Time taken by bus = (630 - x) miles / 60 mph = (630 - x)/60 hours.
Given that the total time was 14 hours, we can write the equation:
Time taken by car + Time taken by bus = Total time
x/30 + (630 - x)/60 = 14.
To solve this equation and find the value of x, we can multiply all terms by 60 to eliminate the denominators:
2x + 630 - x = 840,
x + 630 = 840,
x = 840 - 630,
x = 210.
Therefore, the distance traveled by bus is:
Distance traveled by bus = 630 miles - x miles = 630 miles - 210 miles = 420 miles.
So, the total distance traveled by bus is 420 miles.
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THINK SMARTER Margot wants to use partial products to find 22 X 17.
Write the numbers in the boxes to show 22 X 17-
Answer:
( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )
Step-by-step explanation:
To create partial products when multiplying two numbers, first break the numbers up into a sum of two numbers. The order that these numbers are multiplied does not necessarily matter as long as they are multiplied with the correct numbers.
22 × 17 = (20 + 2)(10 + 7) = 20 (10 + 7) + 2 (10 + 7) =
( 20 × 10 ) + ( 20 × 7 ) + ( 2 × 10 ) + ( 2 × 7 )
= 374
You can check this method works by using your calculator, and multiplying 22 by 17 to get 374 again!
Then just add like you would if when you distribute.
Remember FOIL (First, Outer, Inner, Last)
when multiplying two binomials(2 terms) or distributing factors with two terms.
For example:
(a + b)(c + d) =
F F
O O
I I
L L
(a × c) + (a × d) + (b × c) + (b × d)
The Justice Policy Institute suggests expanding the use of ____________________ in the health and human services to promote positive outcomes with use instead of using suppression.
The Justice Policy Institute suggests expanding the use of mathematical principles, particularly probability theory, in the health and human services sector to promote positive outcomes instead of relying on suppression.
Probability theory is a branch of mathematics that deals with the analysis of uncertain events. By applying probability theory, we can quantify the likelihood of different outcomes and make informed decisions based on evidence. In the context of health and human services, expanding the use of probability theory can provide valuable insights and guide policy decisions towards positive outcomes.
Instead of relying on suppression, which often focuses on punitive measures or attempts to control behavior through strict enforcement, a probabilistic approach can offer a more nuanced and comprehensive perspective. It allows us to understand the underlying factors contributing to certain behaviors or outcomes and design interventions accordingly.
This model can help identify the factors that increase the risk of substance abuse and those that promote positive behaviors. By incorporating statistical techniques, such as regression analysis or machine learning algorithms, we can identify significant predictors and develop tailored interventions to mitigate risks and enhance protective factors.
By expanding the use of probability theory and other mathematical concepts in the health and human services sector, we can move away from suppression and towards a more proactive and evidence-based approach. This approach allows us to understand the underlying mechanisms driving certain behaviors and design interventions that have a higher likelihood of success.
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what set does the number 12 belong
Answer:
12 is a rational number because it can be expressed as the quotient of two integers: 12 ÷ 1.
12 belongs to the sets of natural numbers, integer numbers, rational numbers, and real numbers.
To what set does the number 12 belong?First, we can see that it is a whole number, so it is an integer number.
Also, all positive integers are natural numbers, so 12 is also a whole number.
Now, we also can rewrite 12 as:
12 = 12/1
So it is a quotient between two integer numbers, thus, 12 is also a rational number.
Finally, the trivial answer, 12 belongs to the set of the real numbers (the set that contains all the numbers).
Concluding:
12 belongs to the sets of whole numbers, integer numbers, rational numbers, and real numbers.
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Give the expression for '20 divided by K'.
Answer:
k/20
Step-by-step explanation:
PLEASE ONLY ANSWER IF YOU KNOW
The value of AB in the triangle is 2.5 cm and the value of x in the triangle is 10 units
How to determine the value of ABFrom the question, we have the following parameters that can be used in our computation:
The triangle
On the triangle, we have the following equivalent ratio
AB : 4 = 10 : 16
Express as fraction
So, we have
AB/4 = 10/16
This gives
AB = 4 * 10/16
Evaluate
AB = 2.5
How to determine the value of xHere, we understand that the line bisects the angle BAC
This means that
x = 20 - x
So, we have
2x = 20
Divide
x = 10
Hence, the value is 10
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2) Set up an integral to find the length of the arc of parabola y = x2 + 1 inscribed in the disc of equation : x2 + (y – 1)2 = 1. (We do not ask to evaluate this integral) =
This is integral to find the length of the arc of the parabola y = x² + 1 inscribed in the disc of equation x² + (y – 1)² = 1.
To set up an integral to find the length of the arc of parabola y = x2 + 1 inscribed in the disc of equation x2 + (y – 1)2 = 1, we can use the formula for arc length:
\(L =\int_{[a,b]} \sqrt{[1 + (dy/dx)2] }dx\)
where a and b are the x-coordinates of the points where the parabola intersects the circle, and dy/dx is the derivative of y with respect to x.
First, we need to find the x-coordinates of the points of intersection. We can solve for x in the equation of the circle:
\(x^2 + (y - 1)^2 = 1\\x^2 + y^2 - 2y + 1 = 1\\x^2 + y^2 - 2y = 0\\x^2 + (y - 1)^2 - 1 = 0\\x^2 + (x^2 + 2y - 1) - 1 = 0\\2x^2 + 2y -2 = 0x^2 + y - 1 = 0\)
Substituting y = x² + 1, we get:
x² + x² + 1 – 1 = 0
2x² = 0
x = 0
So the parabola intersects the circle at (0,1) and (0,-1).
Next, we need to find the derivative of y with respect to x:
dy/dx = 2x
Substituting into the formula for arc length, we get:
\(L = \int_{[-1,1]} \sqrt{[1 + (2x)^2}dx\)
This is integral to find the length of the arc of the parabola y = x² + 1 inscribed in the disc of equation x² + (y – 1)² = 1. We do not ask to evaluate this integral.
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what is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex q is on ordered pair 1 and 6, and the vertex r is on ordered pair 4 and 2.
The area of triangle par on the grid is the vertex p is on ordered pair 7 and 6.
What is vertex?Soccer on CBS Sports is various TV programs that have broadcasted soccer matches in the US on CBS, CBS Sports Organization, and Paramount+. These matches are from Global, European, and American contests. Affiliation football, all the more usually known as just football or soccer, is a group activity played between two groups of 11 players who essentially utilize their feet to impel the ball around a rectangular field called a pitch. Soccer, or football as it's known beyond North America, is the most famous game on the planet. Thus, how could it be played, who plays it, and a lot more inquiries are responded to here.
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plssss help me out pls
Answer: y = 3x + 3
Step-by-step explanation:
Ok, so this one is positive because it is going up from left to right...
Rises 3 and runs 1. The slope is 3.
It hits the y-axis at 3. The y-intercept is 3.
A research center poll showed that 85% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief? The probability that someone does not believe that it is morally wrong to not report all income on tax returns is (Type an integer or a decimal.)
The probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15
For given question,
A research center poll showed that 85 percent of people believe that it is morally wrong to not report all income on tax returns.
so, the probability that someone have this belief is P = 0.85
We know that in probability,
p = 1 - q
where;
p is probability of success
q is probability of failure.
Thus the probability that someone does not have this belief would be,
= 1 - P
= 1 - 0.85
= 0.15
Therefore, the probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15
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Hello! Can someone help me with this!!
Answer:
nope u dont need to buy more
Step-by-step explanation:
u have 1/2 cup after spilling but the recipe only needs 1/3 which is less
In ΔPQR, m ∠ � = ( � + 13 ) ∘ m∠P=(x+13) ∘ , m ∠ � = ( 10 � + 13 ) ∘ m∠Q=(10x+13) ∘ , and m ∠ � = ( 2 � − 2 ) ∘ m∠R=(2x−2) ∘ . Find m ∠ � . m∠Q.
However, this answer does not make sense, as angles in a triangle cannot be negative. This means that there is no solution to this problem .
To solve this problem, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Let's first find the measure of angle P:
m∠P + m∠Q + m∠R = 180
Substituting in the given measures:
(x + 13) + (10x + 13) + (2x - 2) = 180
Simplifying and solving for x:
13x + 24 = 180
13x = 156
x = 12
So m∠P = (x + 13) = 25 degrees.
Next, we can use the fact that the angles opposite equal sides in a triangle are congruent. Since we know that PR and QR are equal, we have:
m∠P = m∠R
So m∠R = 25 degrees.
Finally, we can find m∠Q:
m∠Q = m∠P + m∠R - 180
Substituting in the values we found:
m∠Q = 25 + 25 - 180 = -130
However, this answer does not make sense, as angles in a triangle cannot be negative. This means that there is no solution to this problem.
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