The tax that is paid on the item purchased to the nearest cent is $0.13,
What is the tax paid?Tax is a form of transfer of wealth from individuals or businesses to the government. Taxes increase the cost of a good or service. When tax is levied on a good or service, the tax is paid when the good or service is paid for. It is added to the purchase price of the good or service.
In order to determine the tax paid, multiply the cost of the item by the tax rate. Multiplication is the process that is used to determine the product of a number. The sign that denotes multiplication is ×.
Tax paid = cost of the item x tax rate
$3 x 4.4%
$3 x 0.044 = $0.13
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If you go to a restaurant and there are 4 choices for main dishes, 5 choices for sides, and 6 choices for drinks, how many possible meals can you order if you do or don't get one of each item?
Answer:
4 * 5 * 6 = 120 possible meals can we order.
Step-by-step explanation:
given that-
If you go to a restaurant and there are 4 choices for main dishes, 5 choices for sides, and 6 choices for drinks
4 * 5 * 6 = 120 combinations or Ways to Order
we can order the main dish in 4 different ways. Then, we can choices for sides in 5 different ways and the drinks in 6 different ways.
(The outcome of the selection of the first does not influence the second or third)
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f(x)=x-7; vertical stretch of 3 g(x)
The function that represents the vertical stretch by a factor of 3 of f(x) is given as follows:
g(x) = 3x - 21.
How are vertical stretches and compression applied to the graph of a function f(x)?Vertical stretches or compression to the graph of a function f(x) are applied by the multiplication of a constant a to the function, as follows:
g(x) = a x f(x).
Then the value of the constant determines if it is an stretch or a compression.
If the absolute value of the constant a is greater than 1, it is a stretch. If the absolute value of the constant a is less than 1, it is a compression.For this problem, we want a vertical stretch with a factor of 3, then the constant is given as follows:
a = 3.
Then the definition of function g(x) is given by:
g(x) = 3f(x)
g(x) = 3(x - 7)
g(x) = 3x - 21.
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11.) Janiya plans on passing out Halloween candy
this year. She purchased 5 bags of Skittles TM for
$4.50 each. She purchased 3 bags of Nerd TM for
$3.75 each. Finally she purchased some full sized
Snickers TM bars for $1.25 each. How many full
sized bars did she purchase if her total bill was
$102.50? Define the variable.
Answer:
82 because 102.50/1.25=82
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Step-by-step explanation:
. TEST SCORES Benjamin's test scores for the quarter so far are 78, 82, 95, and 88. What does he need to score on the fifth test of the quarter in order to have an average test score of 87?
9(4)^2 + 24(4) + 20 = 4
Answer:
Step-by-step explanation:
Keith has a shirt company that charges a delivery fee. The total charges are include the following
• $10 per short sleeve shirt
. $15 per long sleeve shirt
• The total of the charges must be at least $500 to get a discount.
Which inequality models the situation where x is the number of short sleeve shirts and y is the number of long sleeve shirts.
A
15x+10y≤ 500
B 15x+10y 2 500
C
10x + 15y ≤ 500
D 10x+15y 2 500
How many integer solutions are there to the equation x³ + 2x² -41x-25-17 on the interval 0≤x≤10?
The solution in the given interval is x =6
What is inequalities?A "equal to" symbol on both sides of an equation is not necessarily necessary for it to be balanced. It may also refer to a connection when two things are "not equal to," i.e., where one is better or worse than the other. Any relationship between two numbers or other mathematical expressions that leads to an unfair comparison is referred to in mathematics as an inequality. Certain algebraic mathematical expressions are known as inequalities.
Equation is :
[tex]x^{3} +2x^{2} -41x -25 =17\\x^{3} +2x^{2} -41x -42\\Put x =-1\\-1^{3} -2(-1)^{2} -41(-1) -42=0\\So, (-1) is the solution of the given equation and (x+1) must divide the equation so,\\\frac{x^{3} +2x^{2} -41x -42}{(x+1)} =x^{2} +x-42\\So we can write \\(x+1)(x^{2} +x-42)=0\\(x+1)(x^{2} +7x-6x-42)=0\\(x+1)(x-6)(x+7)=0\\So the solution of the equation are\\x_{1} =-1\\x_{2} =+6\\x_{3} =-7\\[/tex]
We need to find the integer solution in the interval 0≤x≤10
So total no. of solution in the given interval is 1
The solution in the given interval is x =6
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the probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.06. each student does homework independently. in a statistics class of 50 students, what is the probability that at least 5 will do their homework on time?
the probability that at least 5 will do their homework on time in a class of 50 students is 0.1
How do you calculate probability?
Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen.
the probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.06.
each student does homework independently.
in a statistics class of 50 students, what is the probability that at least 5 will do their homework on time?
probability = event occur/ total number of outcomes
= 5/50= 1/10=0.1
thus the probability becomes 0.1
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Please explain!!!
A clock face has a radius of 8 inches. What is the area of the clock face. Round your number to nearest hundredth.
Answer:
200.96 square inches
Step-by-step explanation:
it's asking for the area of a circle
we know that the radius is 8, so we can just plug it into the circle area formula which is
area = (pi) r^2
you plug in 8 for r (r stands for radius)
8^2 is 64
64 times pi is 200.96 (because pi=3.14)
7,5,2,1,.......
tell the common difference of this sequence
There are 2 numbers between 7 and 5 and 3 numbers between 5 and 2
need help y’all pls ♀️
The value of x in the triangle extended through W to X is 39.5°.
What will be the value of x in the triangle?It should be noted that a triangle has a total angle of 180° and also has three sides. Based on the information given, the following can be deduced:
Angle 1 = 3x - 4.
Angle 2 = 6x + 6
Angle 3 = x + 20
Therefore, the value of x will be gotten by adding the values and equating to 180°. This will be:
3x - 4 + 6x + 6 + x + 20 = 180
4x + 22 = 180
Collect like terms
4x = 180 - 22
4x = 158°
Divide
x = 158/4
x = 39.5°
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Answer: 39.5°
Step-by-step explanation:
3) Margaret invests $3,500 in a savings account that offers 5% simple interest per
annum. How much interest will she get after 8 years?
Margaret invests $3,500 in a savings account that offers 5% simple interest per annum. So interest she will get after 8 years is
What is simple interest ?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.
Given that : Margaret invests $3,500 in a savings account that offers 5% simple interest per annum.
S.I = [tex]\frac{(P)(R)(T)}{100}[/tex]
P = $3,500
R=5%
T=8 years
S.I = [tex]\frac{(P)(R)(T)}{100}[/tex]
S.I = [tex]\frac{(3500)(5)(8)}{100}[/tex]
S.I = 1400
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y is inversely proportional to a³
When a = 2, y = 10
a is directly proportional to x
When x = 4, a = 20
Find a formula for y in terms of x.
Give your answer in its simplest form.
The formula for y in terms of x is y = [tex]\frac{16}{25} x^{3}[/tex]
What is proportionality?Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.
Given that,
Y is inversely proportional to a³ When a = 2, y = 10
A is directly proportional to x when x = 4, a = 20
If y is inversely proportional to a³
[tex]\frac{y}{x^{3} }[/tex]∝1
y = [tex]\frac{k}{a^{3} }[/tex], where k is the proportionality constant
Given, a=2, y=10, then 10 = [tex]\frac{k}{2^{3} }[/tex]
k = 10 × 2³
k = 80
Substituting k = 80 back into the formula;
y = [tex]\frac{80}{a^{3} }[/tex]............. 1
Similarly, if a is directly proportional to x, then a ∝ x i.e a = kx
If x=4, a=20 then;
20 = 4k
k = [tex]\frac{20}{4}[/tex]
k = 5
Substituting k = 5 back into the formula;
a = 5x ....... 2
Substitute equation 2 into 1;
y = [tex]\frac{80}{a^{3} }[/tex]
y = [tex]\frac{80}{5x^{3} }[/tex]
y = [tex]\frac{80}{125x^{3} }[/tex]
y = [tex]\frac{16}{25x^{3} }[/tex]
Therefore, the formula for y in terms of x is y = [tex]\frac{16}{25} x^{3}[/tex]
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14. Simplify - 17/0
0
17
undefined
-17
The simplification of number 17/0 gives the undefined form.
What is defined as the undefined form?Undefined in mathematics refers to a term that really is mathematically inexpressible or meaningless. The rules of mathematics consider whatever divided by zero to be undefined.A number multiplied by zero could result in any number (real or imaginary)A number divided by zero could represent an entity that has not yet been defined.Division of the a number by zero is illogical.If x=a/0, there is no solution!It may return a number that is not real or imaginary.For the given question;
The expression is 17/0
Let us say that 17/0 = x
Its means; 17 = x ×0
17 = 0
But , 17 ≠ 0
As, given expression 17/0 can not be defined by any number.
Thus, 17/0 is an undefined term.
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2x+3y=13
4x-y=-2
Find x and y
Answer:
x = 1/2, y = 4
Step-by-step explanation:
2x + 3y = 13----------> 2x + 3y = 13
4x - y = -2------------> 12x - 3y = -6
-----------------
14x = 7
x = 1/2, y = 4
To enroll in lessons to learn about pottery wheel throwing, you must pay an rollment of $20 for each lesson. The pottery studio also charges you $2.99 pe pound for the amount of clay used.To enroll in lessons to learn about pottery wheel throwing, you must pay an enrollment of $20 for each lesson. The pottery studio also charges you $2.99 per pound for the amount of clay used. Write an expression for the total cost of a person using c pounds of clay during a lesson. Use the expression to calculate the cost of a lesson where Sam uses 3.5 pounds of clay.
Answer:
cost per day = 2.99(c)+20
sam's lessons cost $30.47 per day
Step-by-step explanation:
2.99 (price of clay used per pound) * c (pounds of clay used) + 20 (cost of lesson)
2.99(c)+20
since sam uses 3.5 pounds of clay per lesson that's 2.99(3.5)+20, which is equal to 30.47
A rock is dropped from a height of 10 feet. The height of the rock is modeled by the graph shown.Part AWhat is the height of the rock 0.5 seconds after being dropped? The height of the rock 0.5 seconds after being dropped is ........... feet Part BTo the nearest tenth of a second, how many seconds after being dropped does the rock hit the ground? The rock hits the ground approximately ...............................seconds after being dropped.
SOLUTION:
Step 1:
In this question, we have the following question:
A rock is dropped from a height of 10 feet. The height of the rock is modeled by the graph shown.
Part A
What is the height of the rock 0.5 seconds after being dropped? The height of the rock 0.5 seconds after being dropped is ........... feet
6 .
Step 2:
Part B
To the nearest tenth of a second, how many seconds after being dropped does the rock hit the ground?The rock hits the ground approximately ...............................seconds after being dropped.
0.8
Simplify.
16-8+5x-3x
08+8x
O 10 x
08+2x
O 16+ 2 x
Help please
Step-by-step explanation:
The answer is 8+2x . This is the correct answer .
A rock is dropped into a pond, creating a circular ripple. The radius of the ripple increases steadily at 6 cm/s. A toy boat is floating on the pond, 2.00 m east and 1.00 m north of the spot where the rock is dropped. How long does the ripple take to reach the boat?
Answer: 28.87 seconds
Step-by-step explanation:
Check attached image for explaination
What is the perimeter of the isosceles triangle?
Side A- 3x - 5
Side B- 2x
Side C- 19 - x
Answer:
perimeter of triangle = a + b + c
perimeter = 3x-5+2x+19-x
= 6x + 14
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Answer: P=2a + b which = A- 3x - 5
Step-by-step explanation:
Write an algebraic expression to represent each statement
50 added to half of a number, c
The expression represented by 50 added to half of a number, c is 50 + c/2
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to translate the algebraic expression?The expression is given as
50 added to half of a number, c
half of a number, c means divide c by 2
So, we have
50 added to half of a number, c => 50 added to c/2
Added to means +
So, we have
50 added to half of a number, c => 50 + c/2
Hence, the expression represented by the statement is 50 + c/2
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Use the following information to find x: AB = 4x + 5; BC = 13; and B is the midpoint of AC
The numerical value of x is 2 as segment AB equals segment BC.
What is the numerical value of x ?A midpoint is simply a point that divides a line segment into two equal halves.
Given the data in the question;
B is the midpoint of ACSegment AB = 4x + 5Segment BC = 13Given that B is the midpoint of segment AC, this means that segment AB is equal to segment BC.
Hence
Segment AB = Segment BC
4x + 5 = 13
Solve for x
Subtract 5 from both sides
4x + 5 - 5 = 13 -5
4x = 8
Divide both sides by 4
4x/4 = 8/4
x = 8/4
x = 2
Therefore, the value of x is 2.
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what is the value of x-y if y=4 and 3/5 / 1/2 = x/10
like
3/5
___
1/2
F.) 4
G.) 8
H.) 10
J.) 12
K.) 16
pls show work
Justin runs at a constant rate, traveling 17 km in 2 hours.
Write an equation that shows the relationship between d, the distance he runs in kilometers, and h, the time he spends running in hours.
The relationship between the distance that Justin runs, in kilometers, and the running time, in hours, is equal to d = (17 / 2) · t.
How to define the model to describe the distance travelled by Justin at a constant rate
In this problem we find that the distance that Justin runs (d), in kilometers, is directly proportional to the running time (t), in hours. That is:
d ∝ t
d = k · t
Where:
d - Distance, in kilometers.t - Time, in hoursk - Speed, in kilometers per hour.If we know that d = 17 km and t = 2 h, then the relationship between distance and time is described below:
k = 17 km / 2 h
k = 17 / 2 km / h
d = (17 / 2) · t
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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=8800(1.573)^x
y=8800(1.573)
x
The given exponential function represents the growth in function with a percentage increase as 57.3%.
Given we have the exponential function as :
y=8800(1.573)ˣ
it is in the form of: y=k.aˣ
therefore, if a>2 then the function represents growth.
and if a<1 then the function represents decay.
now, x=1.573
1.573 > 1
so, the function represents change in growth.
therefore, 1.573 - 1
= 0.573
= 57.3%
hence the change in growth of the function is increased by 57.3%.
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Please help!!!
Create an equivalent expression for 18^-7 • 18^5
1. -18^2
2. 18^2
3. 1/18^-2
3. 1/18^2
For an equivalent expression for [tex]18^{-7}\\[/tex] * [tex]18^5\\[/tex] it is option 4 that is correct that means the equivalent expression can be seen as [tex]\frac{1}{18} ^{2}[/tex].
What analogous expressions are there?Expressions that can be considered are equivalent do the same thing even when they have distinct appearances. When we get to enter the same value(s) for the same variable, two algebraic expressions that are equivalent have the same value (s).
Calculating the equivalent expression,
[tex]18^{-7}\\[/tex] * [tex]18^5\\[/tex]
= [tex]18^{-7+5}[/tex]
=[tex]18^{-2}[/tex]
= [tex]\frac{1}{18} ^{2}[/tex]
What is a good example of an equivalent expression?An expression that can be considered equivalent to another phrase but then differs in appearance is the one that has the same value or worth. In algebra, we can say 2(2x – 3y + 6) is equal to 4x -6y + 12 as an example of an equivalent expression.
Which two expressions are interchangeable?When two expressions can be reduced to a single thread expression or when one of the expressions can be written in the same way as the other, they are said to be equivalent. You can also determine whether two expressions are equivalent.
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Which lines are parallel
FM and GB
MB and FG
MB and GB
FM AND FG
Answer:
FM and GB
Step-by-step explanation:
the angles are corresponding meaning that the lines must be parallel
In one year, a school uses 11,280 pieces of white paper, 3,580 fewer pieces of blue paper than white paper, and 3,600 fewer pieces of yellow paper than blue paper. how many pieces of paper does the school use in all?
The school uses a total of 23,080 pieces of paper in one year.
To calculate the total number of pieces of paper used by the school we use addition. We also use subtraction to find the pieces of blue paper and yellow paper.
As the pieces of blue paper are 3580 fewer than white paper, we find the pieces of blue paper by subtracting 3580 from 11,280.
blue paper = 11280 - 3580 = 7700
As the pieces of yellow paper are 3600 fewer than blue paper, we subtract 3600 from the total number of pieces of blue paper.
Yellow paper = 7700 - 3600 = 4100
Now, the total number of pieces can be found by the addition of white, blue, and yellow pieces of paper.
Total pieces = White papers + Blue papers + Yellow papers
Total pieces = 11,280 + 7700 + 4100
Total pieces = 23,080
Therefore, 23,080 pieces of paper were used by the school in one year.
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Which table of ordered pairs represents a proportional relationship?
need this answer ASAP
Answer:
It's the 3rd one
Step-by-step explanation:
2x7=14 7x4=28 7x6=42
Answer:
The third table, since x/y = 7.
what is the value of m in the figure below? if necessary, round your answer to the nearest tenth of a unit.
The value of m in the right triangle to the nearest tenth is 7.2 units.
How to find the side of a right triangle?The figure above is a right triangle.
The right triangles are similar.
Therefore, right triangle ABC is similar to right triangle BDC.
Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Therefore, let's find the value of m using the similar triangle principle,
m / 13 = 4 / m
cross multiply
m × m = 13 × 4
m² = 52
square root both sides
√m² = √52
m = 7.21110255093
Therefore,
m = 7.2 units.
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