Answer:
Number of T-shirts sold = 80 and number of shorts sold = 20
Step-by-step explanation:
This question is incomplete. If we have to calculate the number of shirts and T-shirts sold by Dots then we will calculate this question as below.
Let the number of shorts sold = s
And the number of T-shirts sold = T
Dots sells T-shirts at $5 and shots at $8 in April.
Equation for this situation will be,
5T + 8s = 560 -----(1)
Number of T-shirts sold are 4 times the shorts,
T = 4s ----- (2)
By substituting the value of T from equation (2) in equation (1),
5(4s) + 8s = 560
20s + 8s = 560
28s = 560
s = 20
From equation (2),
T = 4(20)
T = 80
Number of T-shirts sold = 80 and number of shorts sold = 20
At the city museum, child admission is $5.40 and adult admission is $9.40. On Tuesday, three times as many adult tickets as child tickets were sold, for a total
sales of $974.40. How many child tickets were sold that day?
The number of tickets sold will be equal to 29.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Let x represent the number of child tickets that were sold
Let y represent the number of adult tickets that were sold
5.30x +9.40y= 1206
The number of adult tickets sold was three times greater than the number of child tickets,
y= 3x
Substitute 3x for y in the equation,
5.40x + 9.40y= 974.40
5.40x + 9.40(3x)= 974.40
5.40x + 28.2x= 974.40
33.6x= 974.40
Divide both sides by the coefficient of x which is 33.5,
x= 974.40/33.6
x = 29
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At which root does the graph of f x x 5 3 x 2 2 touch the x axis?
The root of the graph of f(x) = [tex](x-5)^{3} + (x+2)^{2}[/tex] touches the x axis at -2 and 5.
What is root of graph ?
A rooted graph is a graph in which one node is labeled in a special way so as to distinguish it from other nodes. The special node is called the root of the graph.
What is axis ?
An axis in mathematics is defined as a line that is used to make or mark measurements.
Have given , f(x) = [tex](x-5)^{3} + (x+2)^{2}[/tex]
⇒ [tex](x-5)^{3} * (x+2)^{2}[/tex]= 0.
But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.
⇒ [tex](x-5)^{3}[/tex]= 0 and \[tex](x+2)^{2}[/tex] = 0
⇒ (x - 5) = 0 and x + 2 = 0
⇒ x = 5 and x = - 2.
The root of the graph of f(x) = [tex](x-5)^{3} + (x+2)^{2}[/tex] touches the x axis at -2 and 5.
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. a pole is carried down a hallway 9 ft wide. at the end of the hall, there is a right-angled turn into a narrower hallway 6 ft wide. what is the length of the longest pole that can be carried horizontally around the corner?
Using the geometry of the right angle triangle. Since, The narrower hallway is 6ft. The answer is 6ft.
What do you mean by geometry?A subfield of mathematics called geometry examines the dimensions, placements, angles, and sizes of objects.
What is a right angle triangle?A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.
Larger hallway= 9 ft
narrower hallway=6 ft
Since, After turning in the corner, The pole should be carried through the 6ft wide hall. The maximum length of the pole is 6ft.
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Alyssa is 1.65 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 27.75 meters. She stands 23.5 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answer:
The tree is 10.77 meters tall.
Step-by-step explanation:
The given diagram is an example of similar triangles. Look at the image I attached to my response to see this problem in terms of triangles.
The triangle that is formed by Alyssa and her shadow and the triangle that is formed by the tree and its shadow is an example of similar triangles because they both share an internal angle.
As per the similar triangles theorem, the ratios of the corresponding sides of both sides are proportional.
Thus, we have to make a proportion of the corresponding sides of both triangles to solve for the height of the tree. Let x = the height of the tree.
Proportion: [tex]\frac{BE}{BC} = \frac{DE}{AC}\\[/tex]
BE = 4.25 meters
BC = 27.75 meters
DE = 1.65 meters
AC = x meters
[tex]\frac{4.25}{27.75} = \frac{1.65}{x}[/tex]
Now, cross multiply to solve for x.
[tex]4.25x = 1.65(27.75)\\4.25x = 45.7875\\x = 10.77[/tex]
∴ The tree is 10.77 meters tall!
The height of the tree to the nearest hundredth of a meter is,
⇒ 10.77 meters
We have to given that;
Alyssa is 1.65 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 27.75 meters. She stands 23.5 meters away from the tree.
Now, we can make a proportion of the corresponding sides of both triangles to solve for the height of the tree.
And, Let us assume that,
x = the height of the tree
Hence, We get;
⇒ (27.75 - 23.5) / 27.75 = 1.65 / x
Solve for x;
⇒ 4.25 / 27.75 = 1.65 / x
Cross multiply we get;
⇒ 4.25x = 1.65 x 27.75
⇒ 4.25x = 45.78
⇒ x = 10.77 meters
Thus, The height of the tree to the nearest hundredth of a meter is,
⇒ 10.77 meters
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What are the 5 ways to prove congruence?
The five ways to prove the congruence theorem are listed as,
SSS TheoremSAS TheoremASA TheoremAAS TheoremRHS TheoremHere we have to find the 5 ways to prove congruence.
As we all know that, according to the concept of triangle, then term congruence referred as if two shapes are congruent if and only if they have the exactly the same sides and exactly the same angles.
Based on these we have derived 5 sub theorem, from the congruence theorem, they are listed as,
1) SSS (side, side, side)
2) SAS (side, angle, side)
3) ASA (angle, side, angle)
4) AAS (angle, angle, side)
5) HL (hypotenuse, leg)
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If your starting balance is $250, what is your new balance after a withdrawal of $56.50 and a deposit of $25.00?
Answer:
$218.5
Step-by-step explanation:
its $218.5 because 250 - 56.50 = 193.5 and 193.5 + 25.00 + 218.5
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. Complete the table.
A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry 25 dollars. Column 5 is labeled Ratio with entry e. Column 6 is labeled Percent Error with entry f.
What is the ratio? e =
What is the percent error
The ratio of the error is; 0.3333
The Percent error of the given problem is; 33.33%
How to find the percentage error?We are given;
Amount spent by John on shopping = $75
Amount expected to spend = $100
Since this is what was given then it means we will have the following;
The approximate value to be spent = 100 dollars
Exact Value spent = 75 dollars
Therefore, the error made is;
Error = Approximate value - Exact value
Error = 100 - 75
Error = 25 dollars
Thus, the error when it is absolute is;
Absolute Error = ±25 dollars
Now, the ratio will be;
Ratio(e) = Error/exact value spent
e = 25/75 = 0.3333
Percent Error = error * 100%
Percent error = 0.3333 * 100%
Percent error = 33.33%
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How do you find the missing side of a triangle without a calculator?
We can find out the missing values of the sides of a triangle by using trigonometry functions like sin, cos, and tan.
If one angle and perpendicular are given then the other side means hypotenuse can be found out by sin function.
Sin Ф = perpendicular/hypotenuse
If one angle and hypotenuse are given then the other side means base can be found out by the Cos function.
CosФ = base/ hypotenuse
If one angle and base are given then the other side means perpendicular can be found out by the tan function.
Tan Ф= perpendicular/ base
Therefore the missing sides can be found by trigonometric function while one angle is given.
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Six lines are drawn, no two of which are parallel. If no more than two of the lines pass through any one point, what is the number of triangles formed?
Answer: I believe 20.
Take one pair of lines. They will intersect at a point (no lines parallel). The other four lines will intersect at different points (no more than two lines through one point) giving four triangles. There are 6C2 = 15 different pairs of lines so 15*4 = 60 triangles. However, each triangle will come from three different points so we need 60/3 = 20 distinct triangles.
EDIT: Now that I’m more awake, it occurs to me there is a much easier answer. Since no two lines are parallel and no three lines are coincident, every combination of three lines must form a triangle. There are 6C3 = 20 triangles.
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
combinations
C(n,r)= n! / (r! * (n−r)!)
n = 6 : total number of lines
r = 3 : because its 3 lines to make a triangle
6 lines
6C3 = 20 triangles
quora glenn clemens
mathplanet
Is negative and positive infinity the same?
No, negative infinity and positive infinity are not the same. Negative infinity is a amount of number that is less than any other number, while positive infinity is a number that is greater than any other number.
Negative infinity is a number that is less than any other number. It is represented by a negative sign followed by an infinity symbol, and it is usually written as "-∞". Negative infinity is the opposite of positive infinity, which is a number that is greater than any other number. Positive infinity is usually written as "+∞". Negative infinity is used in mathematics to signify the smallest possible number or the lower limit of a range, while positive infinity is used to signify the largest possible number or the upper limit of a range. The two numbers are not the same, as they represent opposite extremes of a range. Negative infinity is the lowest possible number and positive infinity is the highest possible number.
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WILL MAKE BRAINLIEST!!! Cheese is sold in packages of 8 and buns are sold in packages of 12. Harvey makes each burger with 1 patty and 1 bun. Harvey wants to buy enough cheese and buns to make burgers with no cheese or buns left over. At least how many burgers will Harvey make?
Simplify 9x - x + 4xy - 2xy pls be fast
Answer: 8x + 2xy
Step-by-step explanation:
9x - x + 4xy - 2xy
8x + 2xy
We can only compare the 9x with -x and the 4xy with the -2xy
Is equidistant from all points on the circle?
The point from which all the points on a circle are equidistant is called the center of the circle, and the distance from that point to the circle is called the radius of the circle. A circle is named with a single letter, its center.
Every point in a circle is equally distance from the center. Similar to a sphere, every point on a sphere is equally distance from the center.
Two equal chords on a circle indicate that they are equally spaced from the circle's center.
The incenter of a triangle is the point that is equally far from each of its sides. A median is a line segment that has one of its endpoints in the vertex of a triangle and the other endpoint in the midpoint of the side opposite the vertex. The three medians of a triangle meet in the centroid.
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How do you write a range of numbers?
The easiest way to quantify data variability is to look at the range, or the difference between the greatest and smallest value.
what is range ?The difference between the highest and lowest values for a given data set is the statistics' range. The difference between the highest and lowest observation could likewise be used to describe the range.The sample interval is defined as the highest value less the smallest value. A crucial indicator of variability for continuous variables is the sample range.
here ,
Use an en dash (not an em dash or a hyphen) with no spaces between them.
If at least one number in the range is between 1 and 100, such as 3-11, 68-70, or 83-343, use all the digits (i.e., no elision).
Use all the numbers to represent multiples of 100, such as 100-127, 310-329, or 2,220-2,254.
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Find the output for f(x) = -3x+4 when x =-5
PLEASE SHOW WORKKK
I NEED THIS ASAP
Answer:
f(x)=19
Step-by-step explanation:
x=-5
f(x)=-3(-5)+4
f(x)=15+4
f(x)=19
I think this is how you do it, but I haven't done these problems in a while so I could be incorrect.
how many integers between 2022 and 2388 have four distinct digits arranged in an increasing order
Answer:
Step-by-step explanation:
360
which of the following are true of AB given A(9, 5) and B(15, 2)? select all that apply
Option A, C, and E are the correct option.
What is midpoint?
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
Given, the coordinate of the vertices of AB line segment are A(9, 5) and B(15, 2).
The formula midpoint of the points (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁ + y₂)/2) .
The midpoint of the line segment AB is ((9 + 15)/2, (5+2)/2)
= (24/2 , 7/2)
= (12, 3.5)
The slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₁ - y₂)/(x₁ + x₂).
The slope of the line AB is (5 - 2)/(9 - 15) = 3/(-6) = -1/2.
The slope of perpendicular line of a line with slope m is = -1/m.
The slope of perpendicular bisector is - 1/( -1/2) = 2
The distance of midpoint from the endpoints is equal. The perpendicular bisector of the line passes through the midpoint.
The distance of midpoint from the endpoints of the segment to any point on the perpendiculars bisector are equal.
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Why can the square root property be used to solve a quadratic equation?
Therefore, as a result square root property can be used to solve a quadratic equation.
Describe equation.
To create an equation, the equal sign is placed between two numerical or variable expressions, as in 4x+9=25.
The answer is a number that may be used in an equation to replace the variable.
According to the given question:
In order to isolate the variable being solved,
the square exponents are removed using the Square Root Property.
The positive and negative values of the number that, when multiplied by itself, equals x are provided by the formula x=±√c x = ± c.
Therefore , as a result square root property can be used to solve a quadratic equation.
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Do the one you would like please show work
6) According to the time and work concept, 18 hours would be taken for James to complete the work.
How to solve time and work problems?Knowing the formulas can immediately lead you to a solution upon reading the question. Therefore, knowing the formula for any topic in numerical ability simplifies the solution and associated calculations.
Here are a few of these essential time and work formulas for your reference.
Work Performed = Time Required Rate of Work
Work Rate = 1 / Time Taken
Duration = 1 / Rate of Work
If a piece of work is completed in x number of days, then the amount of work completed in one day is equal to 1/x. Total Work Completed = Number of Days Efficiency.
Time and Productivity are inversely proportional to one another X:
if y is the ratio of the number of men needed to complete a piece of work, then y:x is the ratio of the time required by those men to complete the work.
If x number of people can complete W1 work in D1 days while working T1 hours per day, and y number of people can complete W2 work in D2 days while working T2 hours per day, then the relationship between them is Time and Work Formula i..e;
[tex]\frac{M1.D1.T1}{W1} =\frac{M2.D2.T2}{W2}[/tex]
Calculation:Monica can do the work in 9 hours so she does a work of 1/9 in an hour.
The same work done by Monica and James takes 6 hours so they both can do a 1/6 th of work in an hour.
Developing the relation:
[tex]\frac{1}{9}+\frac{1}{x}=\frac{1}{6}[/tex]
here, the speed of Monica is 1/9 and the speed of James in completing the work is 1/x and the speed of them both is 1/6
So solving this equation we get ,
[tex]6x+54 = 9x[/tex]
[tex]3x = 54\\x=18\\[/tex]
So the speed of James in completing the work is 1/18th in an hour So he takes 18 hours to complete the whole work by himself alone.
According to the time and work concept, 18 hours would be taken for James to complete the work.
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What is the volume of a pyramid with a base area of a square and a height of a cube?
The volume of the pyramid with the given base area of square and height of the cube is given by: V = ( 1/3) × ( y)² × (h).
As given in the question,
Base of the given pyramid is square in shape.
Base area of the pyramid is given by:
Let 'y' be the side length of the square base.
Area of the square base = ( side length )²
= y²
let 'h' be the height of the cube
Volume (V) of the pyramid = ( 1/3 ) × Base area × height
⇒Volume of the pyramid = ( 1/3 ) × y² × h
Therefore, the volume of the pyramid with square base and height of the cube is equal to Volume of the pyramid = ( 1/3 ) × y² × h.
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What does range mean *?
The range of possibilities for variation or the boundaries between them: the price spectrum for steel; many different styles. the size or scope of a process, action, or operation .
what is range ?The range of values between the highest and lowest values for a certain data collection is known as the statistical range. It is also possible to show the range by comparing the highest and lowest observational values. The sample interval is found by subtracting the highest value from the lowest. For continuously varying variables, the sample range is a key measure of variability.
here ,
Between the lowest and greatest numbers, there is a range. In the example, the lowest value is 2, and the highest is 9.
The range therefore equals 9 x 2 = 8.
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determine the average rate of change in concentration of b from t=0 s to t=212 s.
The average rate of change in concentration of b from t= 0 s to t = 212 s as calculated from the data given above is 0.004811 m/s.
The average rate of change is given by the formula ,
concentration change / time change.
First we will calculate the rate of change for A
rate change = 0.140 - 0.650 = -0.510 M
time difference = 212 s − 0 s = 212 s
Rate of concentration change = -0.510 M / 212 s = -0.002405 M/s
The - sign indicates that the [A] is decreasing with time.
In order to calculate the concentration rate of B we will write it in the form of stoichiometry
B = 2 x 0.002405 = +0.004811 m /s
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Matt shot an 86 on the golf course on Monday then on Friday he shot a 95 what is the percentage of change rounded to the nearest 10th of a percent?
Answer:
increase 10.5 percent
Step-by-step explanation:
..
Pleaseeeee helppp. I'm so confused.
Answer:
x ≤ 2
Step-by-step explanation:
Brainliest pls btw did it help
Use graph paper, or the Distance Formula, to graph the points. Find the
distance between the given points. When necessary, round to the nearest
tenth.
(-6, -3) and (6, 2)
Answer: I think it's 13
Step-by-step explanation: So we need to fill in the distance formula. It's d=√((x_2-x_1)²+(y_2-y_1)²).
-6=x_1
-3=y_1
6=x_2
2=y_2
Now you plug in your coordinates to the formula, so you get d=√((6--6)²+(2--3²)
(6-(-6)²=144
(2-(-3²)=-7
So now 144+25=169
The square root of 169 is 13, so d=13. That should be your answer! Let me know if it's right
find the x number i will gave 10 points
Answer:
x is 5 cm
Step-by-step explanation:
x is half of the diagonal and we can see that the diagonal is 10 cm
and half of 10 is
how many ways are there that no two students will have the same birth date in a class of size 60?
The number of ways in a class of size 60 where no two students will have the same birth date is 365 x 364 x 363 x 362 x ........... x 306.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of students = 60
We will assume 365 days in a year.
Now,
The first student will have 365 possible days for his birthday.
The second student will have 364 possible days for his birthday.
In this way,
The last student will have (365 - 59) possible days for his birthday.
Now,
The number of possible ways for 60 students.
= 365 x 364 x 363 x 362 x ........... x 306
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What is the formula for horizontal and vertical?
Horizontal asymptotes is a horizontal line and its equation is y=k
vertical asymptotes is a vertical line and its eqaution is x=k
In these given lines we can find horizontal and vertical asymptotes.
What is the formula for horizontal asymtotes?To find the horizontal asymptotes ,we compare the degree of the numerator with the degree of denomenator.
f(x)=ax^n/bx^m
if degree of numerator is greater than degree of denominator then does not exist horizontal asymptotes.
what is the formula for vertical asymptotes?To find the vertical asymptotes , we use
f(x)= p(x)/q(x)
To set the denominator q(x) to zero ,and solve the value for x.
where p(x) and q(X) are polynomial functions and q(x) [tex]\neq[/tex] 0
vertical asymptotes is x=k where k represents real zero of q(x).
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The square root of a negative number is supposed to not exist/be an imaginary number.
Am I right? Is this operation right?
Answer: You are correct, because negative number don't have real square roots
Step-by-step explanation:
What can you say about the relationship between the volume of a rectangular prism and a pyramid?
When a prism and pyramid have the same base and height, their volumes are inversely proportional: the volume of the pyramid is one-third that of the prism.
A pyramid is a three-dimensional object that has faces made of triangles and a base made of polygons. The base is the bottom, while the faces are the sides.
A prism is a three-dimensional object having two identically shaped and sized polygonal bases and rectangular sides. In the actual world, a cardboard box serves as an illustration of a prism.
When a pyramid and a prism have bases and heights that are equivalent, the pyramid can fit inside the prism.
In reality, when this is the case, the pyramid occupies precisely one-third of the prism's volume. When a prism and pyramid have the same base and height, their volumes are inversely proportional: the volume of the pyramid is one-third that of the prism.
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