What is the price of an item after a 30% discount if the original price of the item is 56 dollars?
Winston planned to spend no more than $150 on a helmet and goggles for skiing. After spending $90.50 on a helmet, he bought a pair of goggles that put him over his budget.
Answer:
the number would be anything over 59.50
Step-by-step explanation:
Suppoe p(x) = 2x2 − 5x 10 and p(x) over x-n
ha a remainder of 7. Which one of the following tatement are true?
7. 2n^2 - 5n + 10 = 7, is true.This means that if we substitute the value of n in the given equation we will get 7.
The Remainder Theorem states that if a polynomial is divided by a linear function, then the remainder is equal to the value of the polynomial at the root of the linear function.
In this case, we have the polynomial p(x) = 2x^2 - 5x + 10, which is being divided by x-n, and we are told that the remainder is 7. This means that when we substitute the root of x-n (which is n) into p(x), we get a remainder of 7. 2n^2 - 5n + 10 = 7, so this statement is true.
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Tyrone went to a baketball game and bought a jerey that wa on ale at a 30% dicount. He alo bought a hat that cot $37. 89. Tyrone pent a total of $83. 39. Write an equation to find the original cot of the jerey
By applying discounted price concept, the original cost of the jersey can be determined from this equation 83.39 = 37.89 + 0.70x. The original cost of the jersey is $65.
Discounted price is a price obtained after a reduction by a certain percentage from the normal price. Thus, a discounted price is lower than the normal price.
The formula: discounted price = original price × (100% - %discount)
Some information given from the problem:
Jersey discount = 30%
Hat cost = $37.89
Total spent = $83.39
Let's say the cost of the jersey = x
Total spent = hat cost + discounted jersey cost
83.39 = 37.89 + (x * (100% - 30%))
83.39 = 37.89 + (x * (70%))
83.39 = 37.89 + (x * 0.7)
83.39 = 37.89 + 0.7x
Thus this is the equation.
If we want to know the original cost of the jersey, we can continue the calculation:
83.39 = 37.89 + 0.7x
83.39 - 37.89 = 0.7x
45.5 = 0.70x
x = 45.5/0.70
x = 65
Thus, the original cost of the jersey is $65.
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How much is a 30 angle?.
A 30-degree angle is a measure of an angle, which is one-sixth of a full rotation or circle.
The measure of an angle is the amount of rotation between the two rays that form the angle, measured in degrees. The full rotation of a circle is 360 degrees, so one-sixth of a full rotation is 360 degrees divided by 6, which equals 60 degrees. However, a 30-degree angle is half of a 60-degree angle, so it is half of one-sixth of a full rotation, which is 30 degrees. It's also a right angle's complement angle, meaning that the sum of the 30 and 60 degrees angles is 90 degrees, a right angle. In geometry, 30-degree angles are often used in various calculations and constructions, such as finding the measure of complementary and supplementary angles, solving trigonometric problems, and drawing geometric figures.
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Is an absolute value graph linear?.
The Absolute Value graph is not Linear , the shape of the absolute value graph is a V Shaped graph .
Consider the absolute value function ⇒ y = |x + 2| ;
on substituting x = 0 , we get ⇒ y = 2 ;
on substituting x = -3 , we get ⇒ y = 1 ; and
on substituting x = 3 , we get ⇒ y = 5 .
On plotting the points (0,2) , (-3,1) and (3,5) , we see that , a V shaped graph is formed ,
From the graph shown below , we can say that the graph is linear in intervals , not fully linear .
Therefore , the absolute value graph is a V Shaped graph .
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In a packet of 40 skittles, 35% are not red. How may skittles are not red?
Answer:
14
Step-by-step explanation:
35/100= .35
.35 x 40= 14
Not red skittles: 14
Answer:
14
Step-by-step explanation:
35/100= .35
.35 x 40= 14
Not red skittles: 14
what are the order pairs to the fallowing solution of the sytems of equations
f(x)=x^2-2x+3: f(x)=-2x+12
The order pairs to the given equations are (-3, 18) and (3, 6)
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given are two equation, f(x) = x²-2x+3 and f(x) = -2x+12
For solving, equate them,
x²-2x+3 = -2x+12
x² = 2x-2x+12-3
x² = 9
x = ±3
Put x = -3 in f(x) = -2x+12
f(-3) = -2(-3)+12
f(-3) = 18
And, Put x = 3 in f(x) = -2x+12
f(3) = -2(3)+12
f(3) = 6
Therefore, the ordered pairs are (-3, 18) and (3, 6)
Hence, the order pairs to the given equations are (-3, 18) and (3, 6)
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What do line 16–20 tell you about how the peaker imagine hi future? Ue evidence from the text to upport your anwer
Lines 16-20 suggest that the speaker imagines his future as one in which he will look back on the decision he made to take the less traveled road with a sense of regret or longing.
He states that he will be "telling this with a sigh," indicating that the memory is not a happy one. Additionally, the phrase "ages and ages hence" implies that a significant amount of time has passed since the speaker made the decision, further emphasizing the sense of regret or longing. Overall, these lines suggest that the speaker believes that taking the less traveled road has had a significant impact on his life and that he will continue to reflect on this decision in the future.
"The Road Not Taken" is a famous poem by Robert Frost, in which the speaker reflects on a decision to take a different path in the woods. The poem does not give specific details of the speaker's future but rather reflects on the idea of choices and regrets.
This question should be written as:
What do lines 16-20 tell you about how the speaker imagines his future? Explain using text evidence to support your answer.
Lines 16-20 from "The Road Not Taken:
I shall be telling this with a sigh Somewhere ages and ages hence:Two roads diverged in a wood, and I—I took the one less traveled by,And that has made all the difference.Learn more about Robert Frost here: brainly.com/question/23045790
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Luke has some nails in his toolbox.
The heads of these nails are all circular and have a diamater of 2.4mm.
Ten of these nails are knocked into a piece of wood, so that just the metal heads are seen.
Using an estimate of pi=3, calculate the total area of metal that can be seen on the surface of the wood.
You must show your working and give the units of your answer.
The total area of metal that can be seen on the surface of the wood is 43.2 square millimeters.
How to calculate the total area of metal that can be seen on the surface of the wood?To find the total area of metal that can be seen on the surface of the wood, we need to find the area of one nail head and then multiply that by the number of nails.
The area of a circle is given by the formula:
A = πr²,
where π is the mathematical constant pi (estimated as 3 in this case) and r is the radius of the circle (half of the diameter).
So, the area of one nail head in square millimeters is:
A = 3 ×(2.4/2)² = 3 × 1.2² = 3 × 1.44 = 4.32 square millimeters
As there are 10 nails, so the total area of metal that can be seen on the surface of the wood in square millimeters is:
Total area = 4.32 square millimeters/nail × 10 nails = 43.2 square millimeters
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The ratio of three numbers is 7 : 3 : 2. These three numbers have a sum of 228. What is the difference between the largest and the smallest of these three numbers?.
The difference between the largest and the smallest of these three numbers is 95.
in mathematics, a ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
Let the common multiple of ratio be x.
then, according to given condition, the ratio of three numbers is 7 : 3 : 2 and these three numbers have a sum of 228. i.e.
7x + 3 x + 2x = 228
12x = 228
x = 19
so, the largest number is
= 7x
= 7 × 19
= 133
and the smallest number is
= 2x
= 2 × 19
= 38
so, the Difference between the largest and the smallest number is
= 133 - 38
= 95
Therefore, the difference between the largest and the smallest of these three numbers is 95.
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If a hockey player takes 78 shots and scores 16 goals, what would be the probability of this player scoring a goal on their next shot?
0. 173
0. 205
0. 013
0. 263
The player's chances of scoring a goal on their next shot are 0.205, or 20.5%.
This is calculated by dividing the number of goals they scored (16) by the number of shots they took (78).
The formula for finding the probability:
P(A) = number of favorable outcomes / total number of possible outcomes
16 / 78 = 0.205
Probability is a mathematical concept that quantifies the likelihood that an event will occur. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is unavoidable.
A probability of 0.5 (or 50%) means that the event is equally likely to occur or not occur.
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88+32
[tex]90 + 30[/tex]
how are these two equations equivalent to each other
Answer:
These two equations are equivalent to each other because they both represent the same mathematical operation and they both yield the same result.
The first equation, 88 + 32, is adding 88 to 32, which results in the sum of 120.
The second equation, 90 + 30, is adding 90 to 30, which also results in the sum of 120.
In other words, both equations represent the same mathematical operation (addition) of two numbers (88 and 32 or 90 and 30) and both yield the same result (120).
Step-by-step explanation:
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What is the function of logarithmic function?.
The logarithmic function is a mathematical function that expresses the exponent of a number to produce a given value, with the property of simplifying multiplication to addition and it is the inverse of the exponential function.
A logarithmic function is a mathematical function that expresses the power to which a number (the base) must be raised in order to produce a given value. The logarithm of a number is the exponent to which the base must be raised to produce that number.
A logarithmic function can be represented in the form of log_b(x) or logb(x), where b is the base of the logarithm and x is the value being evaluated.
For example, the logarithm of 1000 to the base 10 is 3, because 10^3 = 1000. It can be written as log10(1000) = 3.
The logarithm function has the property that log_b(x*y) = log_b(x) + log_b(y), which means that logarithms simplify the multiplication of numbers to the addition of logarithms.
The logarithmic function also has an inverse function, which is the exponential function, that's why logarithms and exponents are inverses of each other.
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Which symbol correctly describes the relationship between these two numbers?
The relationship between these two numbers is 3 > 2.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An expression:
3 is greater than 2.
Here, we will use the inequality symbol.
3 > 2.
Therefore, the expression is 3 > 2.
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The complete question:
Which symbol correctly describes the relationship between these two numbers?
And the expression: 3 is greater than 2.
Hello I need help as soon as possible, please someone respond, thank you.
Its value is expressed as f(x). The line has a slope of m.In the coordinate plane, the point where the line crosses the y-axis is where the function's value, or b, is determined when x is equal to zero.The coordinate's value, x, is given. The f(x) is 1.2x.
Find the F(x) ?Its value is expressed as f(x). The line has a slope of m.In the coordinate plane, the point where the line crosses the y-axis is where the function's value, or b, is determined when x is equal to zero.The coordinate's value, x, is given.
Detailed explanation:
Given:
f(x - 5) = 1.2x - 6
Required:Find f (x) In order to solve f(x), we must translate f(x - 5) into terms of f. (x). The procedure is as follows.
f(x - 5) = 1.2x - 6
The expression to the right should be factored.
f(x - 5) = 1.2(x - 5) (x - 5)
Now that we have changed x for x - 5 in the previous formula, we may solve for f(x) (on the right hand side and the left hand side).
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What number is 10 more than 89?.
The number is 10 more than 8910+89 = 99
given that
One of the four fundamental operations of mathematics is addition, which is typically denoted by the plus sign (+). The other three are subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them. Three apples and two apples are combined to make five apples in the example in the adjacent image. This observation is analogous to the formula "3 + 2 = 5" in mathematics (that is, "3 plus 2 is equal to 5").
In addition to counting things, addition can also be defined and performed using abstractions known as numbers, such as integers, real numbers, and complex numbers. A branch of mathematics called arithmetic includes addition. Addition can also be done on abstract objects like vectors, matrices, subspaces, and subgroups in algebra, another branch of mathematics.
10 more than 89
more than means plus or addition or sum
10+89 = 99
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What are the 3 steps to graph a line when given an equation?.
There are three important steps to graph a line when an equation is given to us.
Step 1: Determine the x-intercept and y-intercept on the line.Step 2: Plot the x-intercept and y-intercept points on a graph. Step 3: Draw a line through the 2 points.Let us look at an example for the same.
Let us graph the equation 6x + 2y = 12
Finding the x-intercept (the x-intercept has a y-value of 0),
6x + 0 = 12
⇒ x = 2
Hence, x-intercept is (2,0)
Finding the y-intercept (the y-intercept has an x-value of 0),
0 + 2y = 12
⇒ y = 6
Hence, y-intercept = (0,6).
The graph is shown in the diagram after plotting the 2 intercepts on a graph and a line drawn through them.
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An instrument maker creates a triangle in the shape of an isosceles triangle by bending a metal rod. The rod is 13 inches long, and the bottom of the triangle is longer than the two sides. What is the length of the longest side?.
The length of the longest side of the isosceles triangle is 5 inches.
An isosceles triangle is a type of triangle in which two sides have the same length. The two equal sides are called the legs, and the third side, which is the base, is called the hypotenuse. The angle between the legs is called the vertex angle.
An isosceles triangle can be acute, meaning that the vertex angle is less than 90 degrees, right, meaning that the vertex angle is exactly 90 degrees, or obtuse, meaning that the vertex angle is greater than 90 degrees.
It's important to note that all equilateral triangles are isosceles but not all isosceles triangles are equilateral.
Given,
The length of the rod is 13 inches.
The length of the sides are x, x-1 and x-1.
We know that,
The rod length is 13 inches the mean perimeter is 13 inches.
So,
x + x-1 + x-1 = 13
=> 3x- 2 = 13
=> 3x= 15
=> x= 5 inches
Therefore, the other two sides = x-1 = 5-1 = 4 inches
So the length of the longest side of the isosceles triangle is 5 inches.
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A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 83 m long and 62 m wide.
Find the area of the training field. Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
The area of the training field is 16,966 m2. The area of the rectangle is 83 x 62 = 5,146 m2, and the area of each semicircle is (3.14 x (83/2)2) / 2 = 1,652 m2. Therefore, the total area of the training field is 5,146 + (2 x 1,652) = 16,966 m2.
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Antionette order T hirt for her volleyball camp. Adult ized T hirt cot $6. 25 each and youth ized T hirt cot $4. 50 each. Antionette ha $550 to purchae both adult ized and youth ized T hirt. If he purchae 45 youth ized T hirt, determine algebraically the maximum number of adult ized T hirt he can purchae
Antionette can purchase a maximum of 56 adult-sized t-shirts.
What is algebraic ?
Algebraic refers to anything that pertains to algebra, which is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. Algebraic concepts include using variables (such as x or y) to represent unknown values, using operations such as addition, subtraction, multiplication and division.
Let x be the number of adult-sized t-shirts that Antionette purchases.
We know that ,
The cost of each adult-sized t-shirt is $6.25
The cost of each youth-sized t-shirt is $4.50
Antionette has $550 to purchase both adult-sized and youth-sized t-shirts
Antionette purchases 45 youth-sized t-shirts
We can set up the equation to represent the total cost of all the t-shirts and the money Antionette has ,
(x6.25) + (454.50) = 550
To solve for x, we can simplify the equation by multiplying the number of adult-sized t-shirts by the cost per t-shirt and the number of youth-sized t-shirts by the cost per t-shirt, and then set it equal to the total money Antionette has ,
x*6.25 + 202.5 = 550
then we can subtract 202.5 from both sides , x*6.25 = 347.5
then divide both sides by 6.25 to get , x = 56
So, Antionette can purchase a maximum of 56 adult-sized t-shirts.
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The cost of each adult-sized t-shirt is $6.25
The cost of each youth-sized t-shirt is $4.50
Antionette has $550 to purchase both adult-sized and youth-sized t-shirts
Antionette purchases 45 youth-sized t-shirts
(x*6.25) + (454.50) = 550
x*6.25 + 202.5 = 550
then we can subtract 202.5 from both sides , x*6.25 = 347.5
then divide both sides by 6.25 to get , x = 56
So, Antionette can purchase a maximum of 56 adult-sized t-shirts.
The equations of four lines are given. Identify which lines are parallel.y=1/2x−6 Line 2: x−2y=−1 Line 3: y=4x+6 Line 4: y+3=1/4(x−6)
The lines which are parallel among the given answer choices are; line 1; y = 1/2x - 6 and line 2; x - 2y = -1.
Which among the answer choices are parallel lines?Recall that parallel lines are described by the feature such that; they have equal slopes but different y-intercepts.
Hence, by representing the equations in slope-intercept form; we have;
line 1; y = 1/2x - 6
line 2; x - 2y = -1;. y = 1/2x + 1
line 3; y = 4x + 6
line 4; y + 3 = 1/4 (x-6);. y = 1/4x - 9/2.
By comparison with the slope-intercept form equation; it follows that the lines which have equal slopes but different y-intercepts is the pair; line 1 and 2.
Hence, the parallel lines are; lines 1 and 2.
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Please help me with these questions 2
By AAS congruence theorem, triangle QXP is congruent to triangle SXR.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Given that, X is the midpoint of QS and ∠P≅∠R.
Consider, ΔQXP and ΔSXR
QX=XS (X is the midpoint of QS)
∠P≅∠R (Given)
∠QXP ≅ ∠SXR (Vertical angle theorem)
By AAS congruence theorem,
ΔQXP ≅ ΔSXR
Hence, proved.
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Use the information given in the figure to find the length BC.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
A
85
41
B
D
0
Answer:
66
Step-by-step explanation:
First find AD:
AD² + 9² = 41²
AD² = 1681-61=1600
AD = √1600 = 40
Now find BD:
BD² + 40² = 85²
BD² = 7225-1600=5625
BD = √5625 = 75
BC = BD - 9 = 75 - 9 = 66
The graph of 12 = 2x+4y is shown on the grid.
Which ordered pair is in the solution set of 12 2 2x+4y?
For the linear equation 12 = 2x+4y, the value of ordered pairs are (0,3) and (6,0).
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The given linear equation is 12 = 2x + 4y
Substitute the value of x as 0 to find the value of y -
12 = 2x + 4y
12 = 2(0) + 4y
12 = 4y
y = 12/4
y = 3
Therefore, the value for y is obtained as 3.
Substitute the value of y as 0 to find the value of x -
12 = 2x + 4y
12 = 2x + 4(0)
12 = 2x
x = 12/2
x = 6
Therefore, the value for x is obtained as 6.
An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.
Therefore, two ordered pairs are obtained as (0,3) and (6,0).
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If L || m, solve for x (6x+4) (4x-14)
Since lines m and n are parallel lines, the value of x in the image above is equal to 19.
What is the Alternate Interior Angles Theorem?In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.
What is the Linear Pair Postulate?In Mathematics, the Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair.
By applying the Linear Pair Postulate to the two (2) alternate interior angles, we have the following:
6x + 4 + (4x - 14) = 180
10x - 10 = 180
10x = 180 + 10
10x = 190
x = 190/10
x = 19.
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There were 1,278 people at the lat baketball game. The tand were divided into 6 ection. The ame number of people at in each ection. How many people at in each ection
There were 1,278 people at the last basketball game and the stands were divided into 6 sections. Each section had 213 people.
The question asked how many people were in each section, and it was given that there were 1,278 people at the game and the stands were divided into 6 sections. To find out how many people were in each section, I divided the total number of people by the number of sections. This concept of division is used to find out how many times a quantity (in this case, the number of people) is divided into a certain number of equal parts (in this case, the number of sections). The result is the number of people per section.
This is represented mathematically as:
1,278 people / 6 sections = 213 people per section
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the ratio of green candies to purple candies is 3:12. there are 36 purple candies in the jar. how many green candies are in the jar
Answer:
There are 9 green candies in the jar
Step-by-step explanation:
How to find mean and standard deviation from frequency table in R?.
This article will demonstrate how to use Data Frame in the R programming language to calculate the mean by group.
Mean by A, B, and C group:
A(mean) = sum/number of terms divided by 20/3 equals 6.67.B(mean) = 14/3, or 4.67 times the sum of the terms.C(mean) = sum x number of terms x 8/3 = 2.67Can a frequency table be used to determine the mean?To determine the mean from a frequency table, follow these steps: Divide the values of the numbers by the frequencies. Determine the sums.
What is the standard deviation of a frequency distribution?Divide the total by n.
Three distinct series can be used to calculate it: viz., Frequency, discrete, and individual series of distributions. "The Standard Deviation is the square root of the arithmetic mean of the squares of all deviations," Spiegel states.
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You are paid 1. 5 times your normal hourly rate for each hour you work over 40 hours in a week. You worked 46 hours this week and earned $612. 50.
Your normal hourly rate is $40.50 and you earned $612.50 for working 46 hours this week, which is 1.5 times your normal hourly rate for each hour over 40.
Your normal hourly rate is the amount of money you get paid per hour for working. The overtime rate is For every hour you work over 40 in a week, your hourly wage will increase by 1.5.This means that if you work 46 hours in a week and your normal hourly rate is $40.50, you would receive $40.50 for each hour up to 40 hours, and then an additional $60.75 for each hour after that. This means that you would have earned a total of $612.50 for working 46 hours this week, with $405 for 40 hours and $207.50 for the 6 hours of overtime.
Normal hourly rate (40 hours) = 40 hours x $40.50/hour = $1,620
Overtime rate (6 hours) = 6 hours x $60.75/hour = $364.50
Total earned = $1,620 + $364.50 = $1,984.50
Total paid = $612.50
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A farm has 15 acres of land. The owners used four tenths of the farm land for growing crops. How many acres are used for growing crops
6 acres are used for growing crops
How to find how many acres are used for growing crops?
Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.
Word problems can involve arithmetic operations, geometry, algebra, and other mathematical areas.
Since the farm has 15 acres of land and four-tenths of the farmland is used for growing crops. we can say:
acres used for growing crops = 4/10 * 15
acres used for growing crops = 6 acres
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