Answer
19 pants and 6 shirts
Mrs. Richards had a coupon for one-third off her total bill at the local
grocery store. She bought 2 boxes of cereal for $3.49 each, three cartons
of ice-cream for $2.99 each, and a six pack of soda for $1.99. How much
was her bill with the discount?
Answer: The bill with a discount is $18.59
Step-by-step explanation:
Given information
2 boxes of $3.49 cereal
3 cartons of $2.99 ice-cream
6 packs of $1.99 soda
1/3 discount off total bill
Given expression
Bill = (1 - 1/3) (2 × 3.49 + 3 × 2.99 + 6 × 1.99)
Simplify values in parentheses
Bill = (2/3) (6.98 + 8.97 + 11.94)
Simplify by addition
Bill = (2/3) (27.89)
Simplify by multiplication
Bill = $18.59 (Rounded to the nearest hundredth because the usual money ends in nearest cent)
Hope this helps!! :)
Please let me know if you have any questions
What is the center and radius of the circle described by the equation (x + 4)² + (y - 6)² = 25?
A. (4, -6); r = 25
B. (4, -6); r = 5
C. (-4, 6); r = 25
D. (-4, 6); r = 5
Answer:
A.
Step-by-step explanation:
Does a path exist?there is a bot located at a pair of integer coordinates, (x, y). It must be moved to a location with another set of coordinates. Though the bot can move any number of times, it can only make the following three types of moves:
Def reaching Points(source_x,source_y,dest_x,dest_y):
If source_x > dest_x or source_y > dest_y:
return False
What is python?Python is a general-purpose programming language with a high level of abstraction. Its design philosophy prioritizes code readability through extensive indentation. Python is a dynamically typed and garbage-collected programming language. It is compatible with a wide range of programming paradigms, including structured, object-oriented, and functional programming.
Python is a programming language that is frequently used to create websites and software, automate tasks, and perform data analysis. Python is a general-purpose programming language, which means it can be used to create a wide range of programs and isn't specialized for any particular problem.
If source_x == dest_x and source_y == dest_y:
return True
while dest_x > source_x and dest_y > source_y:
If dest_x > dest_y:
dest_x = dest_x % dest_y
# implies the previous path to this dest_x, dest_y should have to be dest_x-dest_y, dest_y
# and this could continue till either dest_x < dest_y that would be difference would be dest_x % dest_y
# so instead of doing that repeatedly just go to the final point where
# dest_x would have started before started adding dest_y to it repeatedly
else:
dest_y = dest_y % dest_x
# implies previous path to this dest_x, dest_y should have to be (dest_x, dest_y-dest_x)
# and this could continue till either dest_x > dest_y would difference would be dest_x % dest_y
# so instead of doing that repeatedly just go to the final point where
# dest_y would have started before started adding dest_x to it repeatedly
If dest _x = source _x and (dest _y - source _y + source _x) %
Source _x = 0:
return True
Eliff dest_y = source_y and (dest _ source _ + source _) % source_y
= 0:
return True
Else:
return False
s x ,s y = 1,1
d x ,d y = 5,2
print(reaching points(s x ,s y ,dx ,d y))
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For the standard normal probability distribution, the area under the probability density function to the left of the mean is.
For the standard normal probability distribution, the area under the probability density function to the left of the mean is 0.5.
This means that half of the distribution lies to the left of the mean, and the other half lies to the right. Since the distribution is symmetric, the area under the curve to the left of the mean is equal to the area under the curve to the right of the mean. Therefore, both areas are 0.5 or 50%.
In a standard normal distribution, the probability density function (PDF) is symmetric about the mean. This means that the area under the curve to the left of the mean is equal to the area under the curve to the right of the mean.
Since the total area under the curve represents the probability of the entire distribution, it sums up to 1. Therefore, when we divide the distribution into two equal parts, each part represents 0.5 or 50% of the total area.
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Peter is saving to enroll in a roller-blading training program that costs $350.00.He already has $78 and will save $34 per week until he has enough money to join the program. At this rate, what is the least number of weeks it will take Henry to have $350.
Answer:
8 weeks
Step-by-step explanation:
The coordinates of a figure are (0, 2), (3, 4), (-1, -3), and (2, -1). What is the most specific classification?
A. quadrilateral
B. Parallelogram
C. isosceles trapezoid
D. rectangle
Answer:
B. Parallelogram
Step-by-step explanation:
It should look something like this which is a parallelogram.
Parallogram is like a rectangle or square that is kinda slanted.
________
/ /
/_______/
In how many days could 20 boys do a peice of work which 25 boys can do in 32 days ?
baiiiiwiedujjjdjdhsb20
Calculate the gain or loss percent for CP = Rs.4500 and SP = Rs.5175.
Answer:
CP = 4500
SP = 5175
As the SP is greater than the CP, it is a profit
Profit = 675
Profit percent = (Profit / CP) * 100
=> (675/4500) * 100
=> 675/45 (As the 2 zeros of hundred in the numerator is cancelled by the 2 zeros of the 4500 in the denominator)
=> 15 (Once you divide 675 by 45)
=> 15 % profit
Therefore, Profit = 15 %
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I need help on these questions please help . ignore the writing
You will always get one triangle. This is because of the Triangle Angle Sum Theorem, which states that the sum of the measures of the angles of a triangle is always 180°.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon.
The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
The inner angles of every triangle sum up to 180°, 180°, 180°, 180°. Angles in a triangle are the total (sum) of the angles at each of its three vertices.
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If you were to publish this chart in a news article, what would your headline be and why?
The headline should be informative and accurately reflect the data presented in the chart.
What is chart?A chart is a visual representation of data or information that can be used to help people understand complex information quickly and easily. Charts can take many different forms, such as bar charts, line charts, scatter plots, pie charts, and more. They are often used in business, science, and journalism to present data in a way that is clear and easy to interpret. By using charts, people can quickly see patterns and trends in data that might be difficult to discern from a simple list of numbers or words.
Here,
However, a good headline for a chart should accurately and concisely summarize the main findings or trends depicted in the chart. It should also capture the reader's attention and make them want to read more. Depending on the chart, some possible headlines could be:
"New study finds rising trend in global temperatures over past decade"
"Stock market reaches all-time high, driven by tech sector growth"
"Poll shows majority of Americans support stricter gun control laws"
"Obesity rates continue to climb in US, particularly in southern states"
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Please answer the question below. Please answer
Answer:
I think of (C.85) can't be constructed
Step-by-step explanation:
hope this helps you :)
Answer:
C) 85
Step-by-step explanation:
Hope this helps
2. find the perimeter of a rectangle with a length
of q and a width of (q-2).
Answer: 4q-4
Step-by-step explanation:
2(q+q-2) = 2(2q-2) = 4q-4
PLS HELP!! There are 8 lifesavers in a roll and 3 of them are red. What is the probability of opening the roll and the 1st lifesaver is red? Write as a percent. (Only one end of the roll can be opened)
Answer:
37.5 percent (3/8)
Step-by-step explanation:
Please answer this question asap
square root of 324 ,576 and 704(show all steps)
Answer:
Step-by-step explanation:
√324=18
√576=24
√704=26.532....
If the vertex of the function is at the point (0, 0.5), what is the recommended amount of mulch for a flowerbed with a radius of 20 feet? round to the nearest tenth if necessary.
Given that the vertex of the function is at the point (0, 0.5).We are required to find the recommended amount of mulch for a flowerbed with a radius of 20 feet.
Let us find the equation of the parabola with the vertex at (0,0.5).
The general equation of the parabola is given as:y = a(x - h)² + k
Where(h, k) = (0, 0.5)
=> h = 0 and k = 0.5
Therefore, the equation of the parabola is:
y = a(x - 0)² + 0.5y = ax² + 0.5
We have another point on the parabola given as (20, 2).We can use this point to find the value of a.
Substituting the point (20, 2) in the equation of the parabola we get:
2 = a(20)² + 0.52
= 400a + 0.5a
= 1.5/400
a = 3/8000
Substituting the value of a in the equation of the parabola, we get:
y = (3/8000)x² + 0.5
Let us now find the volume of the flowerbed with a radius of 20 feet.We know that the flowerbed is in the shape of a hemisphere.
Hence,Volume of the flowerbed = (2/3)πr³ = (2/3) × π × (20)³
= 33,510.32 cubic feet
Let us find the height of the flowerbed at a distance of 20 feet from the center.The distance from the center of the flowerbed to the edge is 20 feet.
Therefore, the point on the parabola at a distance of 20 feet from the origin will be (20, h).Let us find the value of h.
Substituting x = 20 in the equation of the parabola, we get:
h = (3/8000)(20)² + 0.5
= 0.8 feet
The height of the flowerbed at a distance of 20 feet from the center is 0.8 feet.The volume of the mulch required will be the volume of the hemisphere with radius 20 and height 0.8 feet.
Volume of mulch required = (2/3)πr²h
= (2/3) × π × (20)² × 0.8
= 6716.32 cubic feet
Therefore, the recommended amount of mulch for a flowerbed with a radius of 20 feet is 6716.32 cubic feet.
Therefore, the recommended amount of mulch for a flowerbed with a radius of 20 feet is 6716.32 cubic feet.
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PACKAGING A juice manufacturer is creating new cylindrical packaging. The height of the cylinder is to be 3 inches longer than the radius of the can. The cylinder is to have a volume of 628 cubic inches. Use 3.14 for π.
The radius of the cylinder is about 7.4 inches, and the height is 3 inches longer, or about 10.4 inches.
What is the volume of the cylinder?
If 'r' is the radius of the cylinder and 'h' is the height of the cylinder then the volume of the cylinder can be computed as
Volume = V = πr²h
Let's start by assigning variables to the information given in the problem:
Let r be the radius of the cylinder.
The height of the cylinder is 3 inches longer than the radius, so the height can be represented as h = r + 3.
The volume of the cylinder is given as 628 cubic inches, so we can use the formula for the volume of a cylinder to create an equation:
V = πr²h = 628
Now we can substitute h = r + 3 and π = 3.14 into the equation:
V = πr²h = 3.14r²(r + 3) = 628
Simplifying this expression, we can distribute the \(r^2\) term:
\(3.14r^2(r + 3) = 3.14r^3 + 9.42r^2\)
Now we can set this equal to 628 and solve for r:
\(3.14r^3 + 9.42r^2 - 628 = 0\)
solving this, we get
r = 7.4 inches
and height = 10.4 inches,
Therefore, the radius of the cylinder is about 7.4 inches, and the height is 3 inches longer, or about 10.4 inches.
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Evaluate the discriminant for each equation. Determine the number of real solutions. 2 x² + 7x-15=0 .
The discriminant for the equation 2x² + 7x - 15 = 0 is 169, and it indicates that there are two real solutions.
To evaluate the discriminant for the equation 2x² + 7x - 15 = 0, we need to use the formula Δ = b² - 4ac, where a, b, and c are the coefficients of the quadratic equation in the form ax² + bx + c = 0.
In this case, a = 2, b = 7, and c = -15. Plugging these values into the formula, we get:
Δ = (7)² - 4(2)(-15)
= 49 + 120
= 169
Since the discriminant Δ is positive (greater than zero), there are two real solutions. This means that the quadratic equation 2x² + 7x - 15 = 0 has two distinct solutions when graphed on a coordinate plane.
Therefore, the number of real solutions for the given equation is two.
In summary, the discriminant for the equation 2x² + 7x - 15 = 0 is 169, and it indicates that there are two real solutions.
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If p/q = 3 and p + q = 8, then pq = ?
A. 2
B. 6
C. 8
D. 10
E. 12
SHOW EXPLANATION
Answer:
E. 12
Step-by-step explanation:
1. p÷q=3. p+q=8 We know that p and q are positive, as dividing by a negative number gives a negative product.
2. 4÷4 does not equal to 3, so neither p nor q can equal 4.
3. As 6÷2=3, p=6 and q=2, or it could be the other way around.
4. Since p=6 and q=2, 6x2=12.
5. pq=12.
Hope the explanation helps you!
In the figure there are 5 equal rectangles and each of its sides is marked with a number as indicated in the drawing. Rectangles are placed without rotating or flipping in positions I, II, III, IV, and V in such a way that the sides that stick together in two rectangles have the same number. Which of the rectangles should go in position I?
The rectangle which should go in position I is rectangle A.
We are given that;
The rectangles A,B,C and D with numbers
Now,
To take the same the number of side
If we take A on 1 place
F will be on second place
And B will be on 4th place
Therefore, by algebra the answer will be rectangle A.
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Help NO Links and don't just answer for the points!!!!! Thanks answer ASAP is VERY IMPORTANT!!!!!!
Answer:
Exact form: 36(3.14)
Step-by-step explanation:
6 x 6 x (3.14 or pie)
36(3.14)
Decimal form: 113.097 = 113.1
Answer: 28.3
Step-by-step explanation:
6/2 = 3(radius)
3*3*3.14 = 28.26
Round up for tenths place
28.3
the probability distribution for the number of goals the lions soccer team makes per game is given below. number of goalsprobability 00.15 10.10 20.10 30.30 40.35 what is the probability that in a given game the lions will score less than 2 goals? a. 0.25 b. 0.35 c. 0.10
Answer:
0.35 because above all the probs were below 50 meaning that it was hard for them to even score one goal per game
Step-by-step explanation:
Write an equation in standard form for the line that passes through the given points
(5, -3) and (5,6)
Answer:
\(x=5\)
Step-by-step explanation:
The standard form for equation of the line is \(Ax + By = C \\\)
We first find the slope of the line:
Slope, m is given by:
\({\displaystyle {\Delta y\over \Delta x}={y_1-y_2\over x_1-x_2}}\)
\({\displaystyle m={-3-6\over 5-5}={-8\over 0}=\infty}\)
This means that the slope is undefined.
And that the line is perpendicular to the x-axis and parallel to the y -axis.
Being that the line is parallel to the y-axis it means that the line intersect at no point with the y-axis so our equation is solved as follows:
Pick any point \((x,y)\)along the line and one of the known points, say, \((5,6)\)
So in solving for m,
we find that :
\({\displaystyle {y_1-y_2\over x_1-x_2}={y-6\over x-5}={-8\over 0}}\)
Cross multiplication gives us:
\(0(y-6)=-8(x-5)\)
\(-8(x-5)=0\)
Dividing through by \(-8\) , we get:
\(x-5=0\)
\(x=5\)
According to a survey by Nickelodeon TV, 90% of children under 13 in Germany recognized a picture of the cartoon character SpongeBob SquarePants. Assume that among those children, 87% also recognized SpongeBob's cranky neighbor Squidward Tentacles. What is the probability that a German child recognized both SpongeBob and Squidward
The probability that a German child recognized both SpongeBob and Squidward is 0.76 or 76%.
The probability that a German child recognized both SpongeBob and Squidward can be calculated using conditional probability.
Here, we will use Bayes' theorem to find the probability.
Let A be the event that a child recognized Sponge Bob and B be the event that a child recognized Squidward.
Then we need to find the probability of A and B occurring together.
Using Bayes' theorem, we can write:
P(B|A) = P(A|B)P(B) / P(A)
where P(B|A) is the probability of B given A,
P(A|B) is the probability of A given B,
P(B) is the probability of B,
and P(A) is the probability of A.
Here, P(B) = 0.87 (given),
P(A) = 0.9 (given),
and P(A|B) = P(A and B) / P(B).
We know that 90% of children under 13 in Germany recognized SpongeBob.
So, out of 100 children, 90 recognized SpongeBob.
Of these 90, 87% recognized Squidward.
So, the number of children who recognized both SpongeBob and Squidward is 0.87 × 90
= 78.
So, P(A and B)
= 78/100
= 0.78
Substituting these values in Bayes' theorem, we get:
P(B|A) = (0.78 / 0.87) × 0.87 / 0.9
= 0.76
The probability that a German child recognized both SpongeBob and Squidward is 0.76 or 76%.
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pls help me with both !! it’s due tmrrr!!!
Answer:
I use to know this
Step-by-step explanation:
there a app the can help you do it
Find the outer perimeter of this figure.
Round your answer to the nearest
hundredth. Use 3.14 to approximate pi.
Answer:
62.84 m
Step-by-step explanation:
6*3.14 = 18.84
12*2 = 24
10*2 = 20
total: 62.84
The solution is 62.84 m
The perimeter of the figure is P = 62.84 m
What is a Circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the perimeter of the figure be represented as P
Now , the figure has a semi circle , a square and a triangle
The side of the square = 12m
So , the number of sides of square in the perimeter of the figure = 2 sides
So , perimeter of 2 sides = 2 x 12 = 24 m
Now , the 2 sides of the hypotenuse of the right triangle is also part of the figure , so
perimeter of 2 sides of the triangle = 2 x 10 = 20 m
Now , the total perimeter of figure = perimeter of the semi circle + 24 + 20
Perimeter of semi circle = 2πr / 2
The radius of the circle = 6 m
Substituting the value of r in the equation , we get
Perimeter of the semi circle = ( 2 x 3.14 x 6 ) / 2
Perimeter of the semi circle = 18.84 m
So , the perimeter of the figure P = 18.84 m + 24 m + 20 m
The perimeter of the figure P = 62.84 m
Therefore , the value of P is 62.84 m
Hence , The perimeter of the figure is P = 62.84 m
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1.) a.) Given the data representing test scores in a chemistry class, construct a grouped frequency distribution of
the data using classes 30-40, 40-50, and so on using the grid provided.
72
55
35
53
85
67
48
86
39
73
57
99
45
48
40
80
Classes
70
56
59
75
85
97
65
62
66
88
94
74
Frequency
92
74
98
81
100 87
76
89
84
73
85
80
Given statement solution is :- To construct a grouped frequency distribution for the given test scores data, we will use the provided classes: 30-40, 40-50, and so on. Here's the grouped frequency distribution:
Classes Frequency
30-40 2
40-50 3
50-60 4
60-70 8
70-80 9
80-90 7
90-100 7
To construct a grouped frequency distribution for the given test scores data, we will use the provided classes: 30-40, 40-50, and so on. Here's the grouped frequency distribution:
Classes Frequency
30-40 2
40-50 3
50-60 4
60-70 8
70-80 9
80-90 7
90-100 7
To create this distribution, we count the number of scores that fall within each class range. For example, the class 30-40 has 2 scores falling within that range (35 and 39), and the class 40-50 has 3 scores (45, 48, and 48).
Note: It seems there is an inconsistency in the data provided. The class range 70-80 has 9 scores, but the frequencies given for the other classes do not match the actual number of scores falling within those ranges. Therefore, I have used the actual counts from the data to construct the grouped frequency distribution.
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Spring break homework due tonight!! Please help!!
The names of the angles, vertices and sides are listed below
Naming the vertex and the sides of the anglesThe vertex is the point where two sides meet; and at this vertex, an angle is formed
Using the above definition as a guide, we have
Vertex: D; Sides: CD and DEVertex: R; Sides: QR and RSVertex: P; Sides: OP and PQVertex: J; Sides: MJ and JKNaming the angles in four waysThe names of the angles in four ways are
∠EFG, ∠GFE, ∠F and ∠S∠RST, ∠TSR, ∠S and ∠J∠GHJ , ∠JHG, ∠H and ∠S∠MNO, ∠ONM, ∠N and ∠SNaming the angles with the vertex VUsing the definition of vertex above, the names of the angles are
∠KVL and ∠JVK∠CVD, ∠DVE, and ∠EVF∠QVR and ∠RVS∠OVP, ∠PVQ and ∠QVRRead more about angles at
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a) 3x = 18
b) 2x=9
c) x/5=7
d) x/2=6.5
Answer:
a) 3x=18
x=18/3
x=6
b) 2x=9
x=9/2
or 4.5
c) x/5=7
x=7×5
x=35
d) x/2=6.5
x=6.5×2
x=13
hope it will help you.......Answer:
a) x = 6b) x = 9/2c) x = 35d) x = 13Step-by-step explanation:
a) 3x = 18, value of x?
→ 3x = 18
→ x = 18/3
→ [ x = 6 ]
Thus, value of x is 6.
b) 2x = 9, value of x?
→ 2x = 9
→ [ x = 9/2 ]
Thus, value of x is 9/2.
c) x/5 = 7, value of x?
→ x/5 = 7
→ x = 7 × 5
→ [ x = 35 ]
Thus, value of x is 35.
d) x/2 = 6.5, value of x?
→ x/2 = 6.5
→ x = 6.5 × 2
→ [ x = 13 ]
Thus, value of x is 13.
The test scores of students in a math class are 46, 40, 50, 43, 35, 41, 50, 42, 38, and 48. What is the mean of this set of data? A. 35.6 B. 40 C. 43.3 D. 50
Answer:
C. 43.3
Step-by-step explanation:
The mean or average of a data set can be found by adding up all the values and dividing by the number of values.
1. Add up all the values
The values: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48
Add them together: 46 +40+50+ 43+35+41+50+ 42+38+48
433
2. Divide by the number of values
Count how many numbers are in the set of data.
Data Set: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48
10 values
Divide 433 by 10
433/10
43.3
The mean of the set of data is 43.3 and the correct answer is C.
Answer:
43.3
Step-by-step explanation:
I added up all the numbers and divided by the number of numbers.