Answer: The decrease in price is $64, and the sale price is $192.
Step-by-step explanation:
0.25 * $256 = $64
$256 - $64 = $192
You have $60 in your bank account each week you plan to deposit $7 from your allowance and $25 from your paycheck the equation b = (60 + (25+7)w gives the amount b in your account after w weeks how many weeks from now will you have $280 in your bank account
After completing 6 week and 8 days, the amount in the bank account will be $280.
What is defined as the equation?In its most basic form, an equation is an algebraic statement that shows that 2 mathematical expressions were indeed equal. In mathematics, the most basic as well as simple algebraic equations comprise of one or more variables.The initial balance in the bank account = $60.
Allowance deposit per week = $7.
Paycheck deposit per week = $25.
Let 'w' be the number of week.
Th equation of the total amount 'b' after 'w' week becomes;
b = 60 + (25+7)w
As, the total amount becomes $280, after the week .
Put b = 280 in equation and find w.
280 = 60 + (25+7)w
Simplifying;
220 = 32w
w = 6.875
Thus, after completing 6 week and 8 days, the amount in the bank account will be $280.
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if r and s are integers and an expression of the form (x − r)(x − s) is multiplied out, a quadratic polynomial with integer coefficients is obtained. for instance, (x − 2)(x − 7)
The quadratic expression when ( x - 2) ( x - 7 ) is multiplied is x² - 9x + 14.
A polynomial of degree two or a quadratic polynomial that has two as the highest exponent of the variable. A quadratic polynomial will typically have the following form: p(x): ax² + bx + c, a ≠ 0.
A coefficient is a multiplicative factor in a polynomial term, a series term, or an expression; it often has the form of a number but can also take the form of any expression.
When an expression ( x - r )( x - s ) is multiplied, where r and s are integers, we obtain a quadratic polynomial.
Therefore, when ( x - 2 )( x - 7 ) is multiplied we get:
( x - 2 )( x - 7 ) = x( x - 7 ) - 2( x - 7 )
( x - 2 )( x - 7 ) = x² - 7x - 2x + 14
( x - 2 )( x - 7 ) = x² - 9x + 14
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Find the product. Write your answer as a mixed number in simplest form.
5 × 2 =
=
Answer:
667/45 or 14 37/45
Step-by-step explanation:
you have to convert 5 4/5 x 2 5/9 then you multiply those numbers but simply them which would be 29/5 x 23/9 then you get 667/45 or 14 37/45 as an alternative form
hope this helps
How does the author illustrate how computer programs have changed the job of an architect? The author shows that computer programs are more fun to use than pencil. The author shows that computer programs let you save your work faster. The author shows that computer programs speed up the process of getting building permits. The author shows that computer programs make it much faster to make changes to blueprints.
The author shows that computer programs make it faster to make changes to blur prints.
A computer program is a set of instructions written in a programming language that a computer is supposed to obey.
Computer programs are one of the intangible components of software, which also includes documentation and other components.The version of a computer program that humans can read is called the source code. Source code must be run by another program because computers can only execute their native machine instructions. Consequently, source code can be transformed into machine instructions using the language's compiler. (Programs written in machine language are translated using an assembler.) The produced file's name is an executable. The language's interpreter may also be used as a backup.Hence it is clear that the author shows that computer programs make it much faster to make changes to blue prints.
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The problem number is 2-32. The question is: Graph the rectangle with vertices at (2, 1),(2, 5), (7, 1), and (7, 5)
The graph of the given points form the rectangle is attached below.
Graph:
The graph is defined as the pictorial representation or a diagram that represents data or values in an organized manner.
Given,
The points are (2, 1),(2, 5), (7, 1), and (7, 5).
Here we need to plot the graph and we have to identify whether it will form the rectangle.
First, we have to do the following in order to solve it,
The very first thing is to plot the given points on the graph.Then we have to put the axis and scale on the graph.Now we have to draw the line to connect them.Then we get the graph of the given points, and the connected points will form the rectangle.Therefore, the resulting graph is attached below.
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in a school board election between two candidates, 539 votes were cast. George received 23 more votes than abe. How many votes did each receive
A = votes to Abe
G = votes to George
we know that all votes together were 539, so A + G = 539, we also know that George got 23 more than Abe, so "G = A + 23"
[tex]\stackrel{Abe's}{A}~~ + ~~\stackrel{George's}{(A+23)}~~ = ~~\stackrel{total}{539}\implies 2A+23=539\implies 2A=516 \\\\\\ A=\cfrac{516}{2}\implies \boxed{\stackrel{Abe}{A=258}}\hspace{12em}\boxed{\underset{George}{\stackrel{258~~ + ~~23}{281}}}[/tex]
I need help with this geometry equation
The area of the composite figure is 58. 71 square units.
How to determine the areaIt is important to note that the area of the composite figure is given as;
Area of a rectangle + area of a semi circle
The formula for area of a rectangle is expressed as;
Area = lw
Where;
l is the length of the rectanglew is the width of the rectangleNow, let's substitute the values, we have;
Area = 6 × 9
Area = 54 square units
The formula for area of a semicircle is expressed as;
Area = πr²/2
Where;
pi = 3. 14r is the radius of the semi circleGiven diameter = 6, radius = 6/2 = 3
Substitute the value
Area = 3. 14(3)/2
Area = 4. 71 square units
But area of the composite figure = 54 + 4. 71 = 58. 71 square units.
Hence, the area is 58. 71 square units.
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Solve for n.
solve for n.
−2(n − 4.5) > 11
n > 1
n < 1
n > −1
n < −1
Answer:
n < - 1
Step-by-step explanation:
- 2(n - 4.5) > 11 ← distribute parenthesis on left side
- 2n + 9 > 11 ( subtract 9 from both sides )
- 2n > 2
divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.
n < - 1
Answer:
n < -1
Step-by-step explanation:
-2(n -4.5) > 11 (multiply the contents within the bracket by -2.)
-2n + 9 > 11 (- × - = +)
-2n > 11 - 9 [ like terms have to be with each other (transposing); and when u transpose a number it changes signs.]
-2n > 2 (divide both sides by negative 2)
n < -1 (sign changes as a reslut of the negative division)
A mutual fund starts the day at a price of $100 1/2 and then loses 1/10 of its value n one day. Identify the daily change.
Answer:
one tenth of 100.5 is 10.05 so 10.05$
Step-by-step explanation:
First take 100.5 multiply by one tenth=10.05$ or ten dollars and 5 cents
can someone help with the last problem
Answer:
Bro x =21
Step-by-step explanation:
X=21 and AM=14
As all the lines are same so all will be 7 and x will be 3 times 7 which is 21 and in the AM case there 7 is 2 times thus multiply 7 by 2 for 14
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 3p − 10 ≥ 7p + 6 true.
The integers in the solution set of 3p − 10 ≥ 7p + 6 are -4 and -5
What are inequality expressions?Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
How to determine the integers in the set?The set is given as
S: {−2, −3, −4, −5}
The inequality expression is given as
3p − 10 ≥ 7p + 6
We start by evaluating the inequality expression
So, we have
3p − 10 ≥ 7p + 6
Subtract 7p from both sides of the inequality expression
So, we have
-4p − 10 ≥ 6
Add 10 to both sides of the inequality expression
So, we have
-4p ≥ 16
Divide both sides of the inequality expression hy -4
So, we have
p ≤ -4
This means that the integers in the solution set are integers that do not exceed -4
These integers are -4 and -5
Hence, the solution is -4 and -5
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i need help please thanks
Answer:
8, B
Step-by-step explanation:
[tex]-6(3-r)=30 \\ \\ -18+6r=30 \\ \\ 6r=48 \\ \\ r=8[/tex]
Admission to a movie theater is $7 for children and $12 for adults. on a certain day, 67 people bought tickets at the theater and $704 was collected. how many children's tickets were sold and how many adult's tickets were sold?
Answer: 20 children’s tickets and 47 adult’s tickets
20 children's tickets were sold and 47 adult tickets were sold.
People bought tickets at the theater and $704 was collected.
charge - $7 for children and $12 for adults.
let, x number of children and y number of an adult take admission,
then, according to question ->
7*x+12*y=704; said eq. 1
and, given 67 people bought tickets at the theater.
x + y=67; said eq. 2
now, on solving these equations,
we get,
multiply eq.2 by 7 then subtract with eq. 1
then we get, y=47 then put the value of y in eq. 2 we get x=20;
so,
20 children's tickets were sold and 47 adult tickets were sold.
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Which of the following has eight faces?ООO A. octahedronO B. tetrahedronO C. icosahedronO D. dodecahedron
Given:
The number of faces =8.
Required:
We need to find the polyhedron with 8 faces.
Explanation:
Recall that the tetrahedron is a polyhedron composed of four triangular faces
The number of faces in tetrahedron =4.
Recall that the octahedron is a polyhedron with 8 faces.
The number of faces in the octahedron= 8.
Recall that the dodecahedron is a polyhedron with 12 faces.
The number of faces in the dodecahedron = 12.
Recall that the icosahedron is a polyhedron with 20 faces.
The number of faces in icosahedron =20.
Final answer:
octahedron
A radioactive sample has a half-life of 12 hours. after hours, 4 milligrams of the sample remain. what is the initial amount of the radio-active substance?
After 18 hours the remaining quantity of the radioactive sample will be (A) 4.68 grams.
What are mathematical operations?An operation, also known as an "operand" or "argument," is a function in mathematics that converts zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the operations that are most frequently studied.So, original radioactive substance = 3000 grams.
Half-life = 3 hoursSo, a number of half-lives in 18 hours:
18/3 = 6Then, after 18 hours:
1/(2)⁶ ⇒ 1/64 × 300 = 4.6875 gramsTherefore, after 18 hours the remaining quantity of the radioactive sample will be (A) 4.68 grams.
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The correct question is given below:
300 grams of a radioactive sample has a half-life of 3 hours. After 18 hours, the remaining quantity will be:
(A) 4.68 gm
(B) 2.34 gm
(C) 3.34 gm
(D) 9.37 gm
What is the inverse of the function f(x) = 1/9x + 2?
Answer:
h(x) = 9x-18 is the correct inverse function
Step-by-step explanation:
f(x) -> y (first we need to rewrite the equation with y)
y= 1/9x+2 (next we need to solve for x)
y=1/9x
-2 -2 (subtract 2 from both sides)
y-2= 1/9x (multiply 9 on both sides
9y-18= x (and lastly switch back x and y)
y = 9x - 18 (if a real equation than write h(x) or [tex]f(x)^{-1}[/tex], if not real equation keep it in y)
h(x) = 9x-18
Hope this helps!
Answer:
9x–18
you can ask questions for clarification
From a hot-air balloon, Nayeli measures a 35^{\circ} ∘ angle of depression to a landmark that’s 905 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.
The balloon's vertical distance above the ground is equal to 633.7 feet
What is angle of depression?
The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line.
Given data ,
we have Angle of depression = 35°
Base distance D = 905 ft
Let the vertical distance be H
To calculate the vertical distance H of the balloon above the ground , we use the angle of depression and the base distance.
Therefore , using the trigonometric identities ,
sin = Opposite / Hypotenuse
cos = Adjacent / Hypotenuse
tan = Opposite / Adjacent
So , tan Ф = tan 35°
= H / D
tan 35°= H / 905
H = tan 35° x 905 ft
H = 0.7002075 x 905
H = 633.7 ft
Hence , vertical distance is equal to 633.7 ft
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Which of the following represents the prime factorization of 72? (need answer asap please)
2^3 x 3^2 x 4
2^3 x 3 ^2
2 x 3^2 x 4^2
2^2 x 3^3
Answer:
I believe the answer is 2^3x3^2
A sales associate in a jewelry store earns $450 each week, plus a commission equal to 6% of her sales. this week her goal is to earn at least $600. how much must the associate sell in order to reach her goal
Answer: $2500
Step-by-step explanation:
Let the amount she sells in dollars be x. Then,
[tex]450+0.06x \geq 600\\\\0.06x \geq 150\\\\x \geq 2500[/tex]
A class contains 12 students who study Geography(G), 11 students who study History(H) and 10 students who study Economics(E). If no student studies more than one of these subjects, what is the probability that three students chosen at random all study History? Give your answer as a decimal correct to three significant figures.
Is the answer 3/33 or 1/3 * 1/3 *1/3 (11/33 = 1/3)
0.030 is the probability that three students chosen at random all study History.
What is probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty. Mathematics' discipline of probability investigates potential outcomes of events as well as their relative likelihoods and distributions.
Given Data
12 students who study Geography(G),
11 students who study History(H)
10 students who study Economics(E)
Probability that three students chosen at random all study History
[tex]\frac{11}{3}[/tex] ÷ [tex]\frac{33}{3}[/tex]
[tex]\frac{11}{3}[/tex] ×[tex]\frac{3}{33}[/tex]
0.030
0.030 is the probability that three students chosen at random all study History.
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Check the attachment
Answer:
[tex]a\:\dfrac{\sqrt{a^3}}{a^4} =\dfrac{\sqrt{a}}{a^2}[/tex]
Step-by-step explanation:
I believe this question is wrongly or part of it has been truncated in the screenshot
I have simplified the original expression and checked my answer.
[tex]\mathrm Simplify \;\;a\dfrac{\sqrt{a^3}}{a^4}\\\\\sqrt{a^3} = a^{\dfrac{3}{2}} = a^{(1 + \frac{1}{2})} = a \cdot a^\frac{1}{2} = a \sqrt{a} \\\\a\dfrac{\sqrt{a^3}}{a^4}\\\\ = \dfrac{a\cdot a\cdot \sqrt{a}}{a^4}\\\\= \dfrac{a^2\sqrt{a}}{a^4}\\\\= \dfrac{\sqrt{a}}{a^{(4-2)}}\\\\\\=\dfrac{\sqrt{a}}{a^2}[/tex]
please help asap due monday
[tex]\frac{x^{2} - 9}{3x^{2} + 8x - 3 } : \frac{x - 3}{x + 2} =\frac{(x^2 - 9)(x + 2)}{(3x^2 +8x - 3)(x - 3)} =\frac{x^3 + 2x^2 - 9x - 18}{3x^3 - 9x^2 + 8x^2 - 24x - 3x + 9} =\frac{ x^3 + 2x^2 - 9x - 18}{3x^3 - x^2 - 27x + 9} = \frac{0}{3 - 3x} = 0[/tex]
Answer:
0
Step-by-step explanation:
when you multiply, and add and subtract it all up, you eventually get 0 over 3-3x. what is 0 divided by 3-3x? 0
What does the standard deviation measure?
Answer:
Standard deviation measures the dispersion of a dataset relative to its mean
Step-by-step explanation:
Paul is a carpenter and earns $21.50 per hour. Last week Paul worked 40 hours, what is
Paul's gross pay?
Answer: $860 this week.
Step-by-step explanation:
Paul worked 40 hours this week, and makes 21.50 dollars an hour. Gross pay means the amount of money paid before taxes.
So we don't need to calculate any taxes, which means all we need to do is multiply 21.50 by 40 hours, since he makes 21.50 an hour, and he worked 40 hours.
Write 4.09 in words. A four and nine tenths B four and nine hundredths C four point zero nine D four hundred nine hundredths
The given value 4.09 in digits can be written in words as four and nine hundredths.
What is word system?The system of written number digits in words can be described as the system that enable the numbers to be breakdown in words for simplicity.
This can starts from the lowest which is the units as well as the tens , and also hundreds and thousands, however from the given value 4.09 we can see that if we convert to the word system of naming numbers we can come into conclusion that it is four hundred nine hundredths.
Therefore, option B is correct.
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Answer:
D
Step-by-step explanation:
Which properties of eqWhich properties of equality are used in the example shown on the left?
Check all of the boxes that apply.uality are used in the example shown on the left?
Check all of the boxes that apply.
The properties of equality used in the equation are subtraction properties and multiplication properties of equality
How to determine the properties of equality applied in solving the equation?The complete question is added at the end of the solution
From the complete question, the equation is given as:
(1/3d + 4 = 28)
Start by removing the bracket in the given equation
So, we have
1/3d + 4 = 28
Next, we continue by applying the subtraction properties of equality
This means that we subtract 4 from both sides of the equation.
So, we have:
1/3d + 4 - 4= 28 - 4
Evaluate the difference in the above equation
So, we have
1/3d = 24
Next, we continue by applying the product properties of equality
This means that we multiply both sides of the equation by 3
So, we have:
3 * 1/3d = 24 * 3
Evaluate the products in the above equation
So, we have
d = 72
By looking at the computations above, we can see that we apply the following properties:
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Possible question
Which properties of equality are used in the example shown on the left?
(1/3d + 4 = 28)
help me please I really need it
Answer:
15
Step-by-step explanation:
Divide it into triangles, then solve for area.
IF ANYONE ANSWERS THIS CORRECTLY, I WILL GIVE YOU BRAINLIEST!
The value of x in this geometric sequence is equal to √2.
How to calculate the nth term of a geometric sequence?In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:
aₙ = a₁rⁿ⁻¹
Where:
aₙ is the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.For this exercise, we would formulate an equation from the common ratio of this geometric sequence as follows:
r = a₂/a₁ = a₃/a₁
Substituting the given parameters into the common ratio formula, we have;
1/√X + 1 = √x - 1/1
Next, we would take the square of both sides, we have:
1/x + 1 = x - 1/1
Cross-multiplying, we have:
(x + 1)(x - 1) = 1
x² - x + x - 1 = 1
x² - 1 = 1
Adding 1 to both sides, we have:
x² - 1 + 1 = 1 + 1
x² = 1 + 1
x² = 2
x = √2
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Please help
Step by step
n = - 3
How is the given equation [tex]5^{n} =\frac{1}{125}[/tex] solved to find n ?
Converting the fraction to negative exponential form,
[tex]5^{n} ={125}^{-1} \\\\5^{n} ={(5^{3})}^{-1} \\\\\text{We know } (a^{n} )^{m} =a^{nm} \\\\\text{Applying this exponent power rule in the above expression},\\\\5^{n} = 5^{-3} \\\\\text{As the corresponding exponents are equal}\\\\n= -3[/tex]
What are laws of exponents?
Exponent rules, commonly referred to as the laws of exponents or properties of exponents.They make it simpler to simplify statements involving exponents. Expressions with decimals, fractions, irrational numbers, and negative integers as their exponents can be made simpler by using these rules.Additionally, by applying these laws, it is possible to simplify numbers with complex powers that involve fractions, decimals, and roots.To learn more about laws of exponents, refer:
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Which equation represents the same proportional relationship as the graph? On a coordinate plane, a line goes through points (0, 0), (5, 3), (10, 6). Group of answer choices y = five-thirds x x y = three-fifths y = three-fifths x x y = five-thirds
Based on the line and the points that it goes through, the equation with the same proportional relationship as the graph is y = three-fifths x.
How to find the relationship of the graph?To find the relationship of the points on the line in the coordinate plane, you need to find the slope of the line. The slope can be found by the formula:
= Change in y / Change in x
Solving for the slope gives:
= (3 - 0) / (5 - 0)
= 3 / 5
For equations to be proportional, they need to have the same slope. With the slope of the line being 3/5, the equation that would have the same proportional relationship is:
y = 3/5x
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