Answer: $53.95
Step-by-step explanation:
Original Price: $83
Discount: 35%
35%=0.35
$83 x 35%, or 83 x 0.35
=29.05
$83-29.05
=$53.95
Kara downloaded 384 selfies from her cell phone to her laptop. These selfies took up 768 megabytes of space on her laptop. Each selfie took up the same amount of space. How many megabytes do 40 selfies take up?
Answer:
80 megabytes
Step-by-step explanation:
768/384= 2 megabytes per photo
40 x 2 = 80 megabytes
Titus bought 1.2 pounds of pears for $1.50 per pound. He also bought 2 pounds of candy for $2.75 per pound. Titus gave the cashier $20 for the pears and candy. How much change did he receive?
A) $15.75
B) $13.60
C) $12.70
D) $7.30
Simplify the expression. 4x^10 y^-3 over 12x-2y
The expression 4x^10 y^-3 over 12x-2y is x^8 y^-2 / 3
How to solve the expression:Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.
1. Eliminate terms from the denominator and numerator.
2. Combine terms that have been multiplied into a single fraction.
3. Add exponents together.
Here, (Given)
4x^10 y^-3 /12x-2y
solving the expression we get
4x^10 / 12x = x^8 / 3
y^-3 / 2y = y^-2
=> x^8 y^-2 / 3
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator).
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c) what is an expression for C in terms of b?
Answer:
[tex]c=5b[/tex]
Step-by-step explanation:
Since we're solving for c, it should be by itself (normally on the left). If you look at the table, c is just 5 times what it's corresponding b value is, so that's what you write as the equation.
please help I have a test I need to complete and it's due tomorrow !
Answer: 4t+109.99=347.95
Step-by-step explanation:
solve this solution using elimination
-8x+6y=34
-8x-4y=44
Answer:
y=-1
x=-5
Step-by-step explanation:
Subtract the two equations together to eliminate the 8x
1) -8x+6y=34
-8x-4y=44
2) -8x+6y=34
+8x+4y=-44
3) 10y = -10
4) y=-1
Substitute: -8x+6(-1)=34
-8x=40
x=-5
Please help answer this question.
Since the angles are formed by cutting the parallel line, the value of x will be 8.Option A is correct.
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
Since the angles are formed by cutting the parallel line the angle formed as,
15x-6 = 114
15x=114+6
15x=120
x=120/15
x=8
Thus. if the angles are formed by cutting the parallel line, the value of x will be 8.Option A is correct.
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one method used to measure diversity in a given area is the simpson index. a. how is it calculated?
Method used to calculate the measure of diversity of species of a particular community is Simpson diversity index which is given by
d = ∑nₐ(nₐ - 1)/N(N - 1).
As given in the question,
Let us consider 'd' represents the diversity of the species in a particular community.
nₐ represents the number of organism belongs to a particular given species .
N represents the total number of organism present.
Then calculation of Simpson diversity index is given by :
d =∑nₐ(nₐ - 1)/N(N - 1)
The range of the diversity of Simpson diversity index is in between 0 to 1.
Therefore, the calculation Simpson diversity index is given by
d = ∑nₐ(nₐ - 1)/N(N - 1).
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if you grab a pen at random from a box containing 4 red pens, 3 blue pens, and 5 black pens, what is the probability of choosing a blue pen?
The probability of grabbing one blue pen from the given box of 12 pens.
As given in the question,
Total number of given red pens in a box = 4
Total number of given blue pens in a box = 3
Total number of given black pens in a box = 5
Total number of pens in a given box = 4+ 3+ 5
= 12
Total number of grabbing one pen from the box = ¹²C₁
Total number of grabbing one blue pen out all the pens in the box
= ⁴C₀ × ³C₁ × ⁵C₀
Probability of selecting one blue pen from the box
= (Total number of favourable outcomes )/ ( total number of outcomes)
= ( ⁴C₀ × ³C₁ × ⁵C₀ ) / ( ¹²C₁ )
= ( 1 × 3 × 1 ) / 12
= 3/12
= 1 / 4
Therefore, the probability of grabbing one blue pen from the box of 4 red, 3blue and 5 black pens is equal to ( 1/4 ).
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please answer this inequality |3d-7|>28
Answer: d < −7 or d > 35/3
Step-by-step explanation:
Find 1 3/4 divided by 1 1/2. Write in simplest form.
Please answer quick! It's due tomorrow and I forgot how to do it, so it would be great if anybody could give me a good explanation :)
Answer: 7/6
Step-by-step explanation:
1 3/4 can be written as 7/4
1 1/2 can be written as 3/2
7/4 divided by 3/2 equal 7/4 times 2/3 = 14/12 = 7/6
Statement 1: The first terms of the patterns cannot possibly be equal.
Answer: False
Step-by-step explanation:
The first term equal to the function x=1
How do I do this (with steps is preferred):
Suppose you know that x = -2 is a zero of p(x) = 4x^3 + 10x^2 - 6x - 20. Use synthetic division to factor the polynomial and find the remaining zeros.
The remaining zero of the polynomial 4x³ + 10x² - 6x - 20 is the quotient 4x² + 2x - 10 derived using synthetic division.
How to calculate for the zero of the polynomial using the synthetic divisionThe polynomial p(x) = 4x³ + 10x² - 6x - 20 having a zero x = -2 implies that x + 2 is a factor and has another factor derived by dividing p(x) = 4x³ + 10x² - 6x - 20 by x + 2.
we shall derive the other factor using the synthetic division as follows;
divide the first term 4x³ of the polynomial by x (of x + 2) to give 4x²,
multiply x + 2 by 4x² to give 4x³ + 8x²
then subtract 4x³ + 8x² from 4x³ + 10x² - 6x - 20 to give 2x² - 6x - 20
divide 2x² (of 2x² - 6x - 20) by x (of x + 2) to give 2x
multiply x + 2 by 2x to give 2x² + 4x
then subtract 2x² + 4x from 2x² - 6x - 20 to give -10x - 20
divide 10x (of -10x - 20) by x (of x + 2) to give -10
multiply x + 2 by -10 to give -10x - 20
then subtract -10x - 20 from -10x - 20 to give a remainder of zero.
Hence, the results 4x², 2x, and -10 are the terms of the quotient 4x² + 2x - 10 and forms the remaining zeros of the polynomial p(x) = 4x³ + 10x² - 6x - 20.
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The graphs below have the same shape. What is the equation of the red graph?
The equation of the red graph is x² + 2
What is meant by Equation ?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
Since the function in the graph is headed upward , we know the portion of x² is positive . And since the highest point of the red line on the y-axis is 2, we can conclude the function represented by the red line is
x² + 2
Therefore the equation of red graph is x² + 2
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There are 6 cans of juice of the same weight and a box. If the 6 cans
are put in the box, the total weight of the cans and the box is 1620 g.
If only 2 cans are put in the box, the total weight is 660g. How many
grams does this box weigh?
Tyler filled up his bathtub, took a bath, and then drained the tub. The function gives the depth of the water, in inches, t
minutes after Tyler began to fill the bathtub.
These statements describe how the water level in the tub was changing over time. Use the statements to sketch an
approximate graph of function.
B (0) = 0
. B (1) < B (7)
B (9) = 11
• B (10) = B (23)
.
.
.
.
• B (20) > B (40)
You may want to use the following graph as a starting point for your sketch. Then fill it in with the information listed above.
The statements are -
B(0) = 0 depth in inches 0 minutes after filling began is 0 ; that is at time = 0 ; depth = 0
B(1) represents the function one minutes after filling began. The function gives depth of water in inches 7 minutes after filling began.
B(9) = 11 depicts that the depth in inches if water 9 minutes after filling began is 11.
Solved using the concept of function.
What is function?A statement, rule, or law in mathematics specifies the connection between an independent variable and a dependent variable (the dependent variable).
A graph is considered to be a function if any vertical line formed may cross it at most one point. The graph is not a function if it has any locations where a vertical line can pass through it twice or more.
B(0)=0The statement B(0) = 0 means the depth in inches 0 minutes after filling began is 0 ; that is at time = 0 ; depth = 0
B(1) < B(7)B(1) represents the function one minutes after filling began. The function gives depth of water in inches 7 minutes after filling began
B(9)=11B(9) = 11 depicts that the depth in inches if water 9 minutes after filling began is 11.
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A grocery store sign indicates that plums are 6 for $1.50, and a sign by the apples indicates that they are 5 for $3.00. Find the total cost of buying 2 plums and 2 apples.
*Determine how much per plum and apple before finding the total cost.
A grocery store sign indicates that plums are 6 for $1.50, and a sign by the apples indicates that they are 5 for $3.00. Find the total cost of buying 2 plums and 2 apples.
*Determine how much per plum and apple before finding the total cost.
An apple would cost $0.6 while a plum would cost $0.25.
The total cost of buying 2 plums and 2 apples will be $1.7
What is Cost?Cost is the value of money that has been used or exchanged up to produce something or deliver a service. Money is an input that is gone in order to acquire something.
If 6 plums sell for $1.50, then;
1 plum will be (1.50/6) = $0.25
Also, if 5 apples cost $3.00, then;
1 apple will be (3/5) = $0.6
Therefore 2 apples will cost: 2 x $0.6 = $1.2
and 2 plums will cost: 2 x $0.25 = $0.5
Total cost for 2 apples and 2 plums will be = $1.2 + $0.5
The total cost = $1.7
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K
QUESTION 9/10
A loss is when:
14a
A. Revenue is greater than expenses.
C. Revenue is equal to expenses.
B. Revenue is less than expenses.
D. None of the above.
Find the fourth degree polynomial function with zeros 8, -8, 8i, -8i. Write the function in factored form.
The fourth degree polynomial in factor form is p(x) = (x - 8) · (x + 8) · (x - i 8) · (x + i 8), whose standard form is p(x) = x⁴ - 4096.
How to derive the equation of polynomial in standard form
In this problem we must determine the equation of a polynomial such that it contains the roots 8, - 8, i 8 and - i 8. This can be done by using the definition of a polynomial in factor form:
p(x) = a · Π (x - rₙ), for n = {1, 2, 3, ..., m - 1, m}
Where:
a - Lead coefficientrₙ - n-th root of the polynomialm - Grade of the polynomial.And modify the expression by algebra properties until standard form is found. First, substitute the roots:
p(x) = (x - 8) · (x + 8) · (x - i 8) · (x + i 8)
Second, expand the expression by algebra properties:
p(x) = (x² - 64) · (x² - i² 64)
p(x) = (x² - 64) · (x² + 64)
p(x) = (x² - 64) · x² + (x² - 64) · 64
p(x) = x⁴ - 64 · x² + 64 · x² - 4096
p(x) = x⁴ - 4096
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Peter learns the following: a cheetah travels about 0. 15 kilometers in 5 seconds. A snail travels about 1. 5 centimeters in 5 seconds. About how much farther can cheetah travel than a snail in 5 seconds?.
Answer: The cheetah travels 7499.25 further then the snail in 5 seconds
Step-by-step explanation:give brainliest
Solve the inequality, and graph the solution on the number line. 3 over 2x − 2 < −2(x + 8)
The line shows the solution of 3x−2<2x+1 by solving the inequality.
What is meant by inequality?An inequality in mathematics is a comparison between two numbers or other mathematical expressions that is done in an unfair manner. On the number line, it is most typically used to compare the sizes of two numbers. With one significant exception, inequalities can be resolved in the same manner as equations by applying the same steps to both sides until the variable has been identified. If you multiply or divide by a negative number, you must flip the inequality sign.
A and b are not equal in either situation. These interactions are recognized as robust inequalities.
Given, 3x−2<2x+1
⇒3x−2x<1+2
⇒x<3 or x∈(−∞,3)
The lines y=3x−2 and y=2x+1 both will intersect at x=3
Clearly, the line shows the solution of 3x−2<2x+1.
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For every 8 package Chelea wrap he ue 1/2 of a roll of wrapping paper. If he ue 3 1/2 roll of wrapping paper, how many package ha he wrapped
The no: of packages Chelea wrapped is 24
What is unitary method?The unitary approach involves calculating the value of a single unit, from which we may calculate the values of the necessary number of units.
What is a unitary in math?a single state. This has an identity element in math, in an algebra. Whose inverse is equivalent to its adjoint (in mathematics, linear algebra, the mathematical study of a matrix or operator).
According to the given question
For every 8 packages the no: of roll used is 1/2
If the person used three 1/2 rolls
the no of packages he wrapped are 3*8
=24
The total no: of packages are are 24
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How would the graph of the linear equation y = 2x change if the y-intercept were changed to 3?
O The line would shift down three units.
O The line would shift up three units.
O The line would become more steep.
The line would not change.
The required answer choice for the linear equation is option 2 (the line would shift up three units).
What is a linear equation?
An equation is said to be linear if the maximum power of the variable is 1. Another name for it is a one-degree equation.
Given, y = 2x
For y-intercept, x = 0
And when the y-intercept is changed to 3. then, y = 3 at x=0
Based on this condition, the equation will be y = 2x + 3
So, the line would shift up three units.
Hence, the required answer choice for the linear equation is option 2.
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Answer:
The line would shift up three units.
PLEASE HELP ME ASAP!!!!
Answer:
The answer to this equation is x=-1
Answer:
x = -1
Step-by-step explanation:
[tex]2^{3x + 1}=\frac{1}{4}[/tex]
[tex]2^{3x+1} = \frac{1}{2^{2} }[/tex]
[tex]2^{3x+1} =2^{-2}[/tex]
[tex]3x+1 = -2\\3x = -2 -1\\3x = -3\\x =\frac{-3}{3} \\x = -1[/tex]
The diagram shows a cycle track. The track has two straight sides each of length 40m. Each end of the track is a semicircle of radius 27m. The diameter of each wheel of Ian’s bike is 590mm. Ian is going to ride his bike around the track once. Calculate how many complete revolutions each wheel of his bike will make
There are 135 complete revolutions each wheel of his bike will make.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The track has two straight sides each of length 40m. Each end of the track is a semicircle of radius 27m. The diameter of each wheel of Ian’s bike is 590mm.
Now,
The circumference of the wheel of Lan's bike = π × 590 mm
= 0.59 π m
And, The perimeter of the cycle track is;
⇒ 40 × 2 + 2π × 27 = 80 + 54π
So, The number of complete revolutions each wheel of his bike will make is ;
⇒ (80 + 54π) ÷ 0.59π
⇒ 135
Thus, There are 135 complete revolutions each wheel of his bike will make.
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Answer: 134
I got this question wrong in some work, the answer is 134.
helpp, does anyone know the answer?!?
Answer:
Wdym
Step-by-step explanation:
solve the system by using substitution or elimination[tex]-3x+y=6\\6x-2y=25[/tex]
We can not solve the system of equation because the equations represent two parallel lines (they have no points in common).
Given that,
The system of equations are -3x+y=6 and 6x-2y=25
We must resolve the equation system.
We know that,
Take the system of equation
-3x+y=6 ------->equation(1)
6x-2y=25 ------>equation(2)
We multiply equation(1) by -2 and subtracting them
-2(-3x+y=6)
6x-2y=-12
6x-2y=25
--------------- (subtract)
-12=-25
So, we can not solve the system of equation.
Therefore, We can not solve the system of equation because the equations represent two parallel lines (they have no points in common).
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Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −3, −2, and 1, and passes through the point (2,8).
The third-degree polynomial function for the given circumstances will be 5y=2(x-1)(x+3)(x+2) with zeros of 3, 2, and 1 and passes through the point (2,8).
What is polynomial?Sums of terms of the form k-x^n, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video. An expression that consists of variables, constants, and exponents and is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Here,
y=a(x+3)(x+2)(x-1)
x=2 and y=8
8=a(2+3)(2+2)(2-1)
8=a*5*4
a=8/20
a=2/5
y=2/5(x+3)(x+2)(x-1)
5y=2(x+3)(x+2)(x-1)
The polynomial function for given conditions that is third-degree, with zeros of −3, −2, and 1, and passes through the point (2,8) will be 5y=2(x+3)(x+2)(x-1).
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is 14 a linear expression
Answer: No
Step-by-step explanation:
Linear expression is y=mx + b
14 is just a number, it doesn't have a slope or y-intercept!
Rebecca buys some scarves that cost $5 each and 2 purses that cost $12 each. Rebecca can spend AT MOST $39. Write an inequality that can be used to find the number of scarves she can buy.
Answer:
$39-($12x2)=$15
$15 ÷$5=3scarves
Step-by-step explanation: