What is the tax on a $40 purchase if sales tax is 5%?
Answer:
Before Tax Price: $40.00
Sale Tax: 5.00% or $2.00
After Tax Price: $42.00
Step-by-step explanation:
Answer:
42 dollars
Step-by-step explanation:
When doing tax problems, we need to memorize the formula of:
price + tax • price = price with sales tax.
This formula works because you have the initial percentage of the cost, with the added tax, which gives the extra value--then added together it gives the sales cost price.
So let's plug our numbers in
40 + (0.05 or 5%) • 40 = price with sales tax
40 + 2 = price with sales tax
42 = price with sales tax
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In a survey of 3,100 people who owned a certain type of car, 1,705 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
55.0% of the people surveyed were satisfied with the car.
What is percentage, how to solve it?We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.
Formula for percentages is (Value/Total value) x 100.
If two values are presented to us, we must determine the percentage difference between them.
Given that, 1,705 said they would buy that type of car again.
Thus, to find people who were satisfied with the car:
Percentage = (Number of satisfied people / Total number of people) x 100%
Percentage = (1,705 / 3,100) x 100% = 55.0%
Hence, 55.0% of the people surveyed were satisfied with the car.
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What is the surface area of the triangular prism?
5 ft
5 ft
4 ft
[Not drawn to scale]
O 60 square feet
O 72 square feet
O82 square feet
3 ft
The surface area of the triangular prism is 72 ft squared.
How to find the surface area of a triangular prism?The surface area of a triangular prism can be found as follows:
Therefore,
surface area of a triangular prism = bh + l(s₁ + s₂ + s₃)
Hence,
b = 4 ft
h = 3 ft
l = 5 ft
s₁ = 4 ft
s₂ = 3 ft
s₃ = 5 ft
Therefore,
surface area of a triangular prism = 4 × 3 + 5(4 + 3 + 5)
surface area of a triangular prism = 12 + 5(12)
surface area of a triangular prism = 12 + 60
surface area of a triangular prism = 72 ft²
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4 Y 3 5 Z What is the value of the tan ratio for the refernce angle of X? 3/4 5/4 3/5 4/5
The tangent of angle Z is given as follows:
tan(Z) = length of opposite side/length of adjacent side.
What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the adjacent side.Hence the tangent for angle Z is given by the ratio between the length of the opposite side to angle Z and the length of the adjacent side to angle Z.
Missing InformationThe problem is incomplete, hence the general procedure to obtain the tangent of angle Z is presented.
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I just need my brain reworked on how to do this
The number of square feet of wallpaper that Austin will need for the large wooden storage boxes would be = 1,296 ft².
How to calculate the amount of wallpaper needed by Austin?To calculate the amount of wallpaper needed, we should find the area of the rectangular prism.
The formula for the area of rectangular prism = 2 (lh +wh + lw ).
Where;
Length (l) = 6ft
width (w) = 3ft
Height (h) = 6ft
area = 2( 6×6 + 3×6 + 6×3)
= 2( 36+18+18)
= 2( 72)
= 144 ft²
Therefore the amount of wallpaper needed = 144× 9 = 1296 ft².
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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 26 feet and a height of 20 feet. Container B has a diameter of 36 feet and a height of 19 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.
no websites or links
After the pumping of Container A's water into Container B, the volume of water in Container B is 6,286 feet³.
What is the volume?The volume refers to the amount of space in a container.
The volume of a container can be determined using the following formula: πr²h, where:
π = pi = 22/7r = radius = diameter/2h = height.Container A:Diameter = 26 feet
Height = 20 feet
The volume of water in Container A = πr²h
r = radius = diameter/2
= 20/2 = 10 feet
Volume = 22/7 x 10 x 10 x 20
= 22/7 x 100 x 20
=6,285.7
= 6,286 feet³
Container B:Diameter = 36 feet
Height = 19 feet
Thus, the volume of Container B after the pumping, which is equal to the volume of water in Container A, is 6,286 feet³.
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Question Completion:After the pumping of Container A's water into Container B, what is the volume of water in Container B?
The scatterplot shows the number of students in each 8 different classrooms and the number of pencils needed for the entire school year.
Answer:
I think the answer is 50 pencils
Please help me anyone with this question ?!!!??!!
Answer:
Believe it's just a
Step-by-step explanation:
Because
Which of the diagrams below represents the contrapositive of the statement
"If it is a square, then it is a quadrilateral"?
not quadrilateral
not square
Figure A
OA. Figure A
OB. Figure B
not square
not
quadrilateral
Figure B
Figure B is the correct option which represents the the contrapositive of the statement "If it is a square, then it is a quadrilateral".
What is a contrapositive statement ?
A contrapositive statement is a statement formed by negating both the hypothesis and the conclusion of the original statement, and then switching them and negating the entire statement.
In other words, if the original statement is of the form "If A, then B", then the contrapositive statement is of the form "If not B, then not A". The contrapositive statement is logically equivalent to the original statement, which means that if the original statement is true, then the contrapositive statement is also true, and if the original statement is false, then the contrapositive statement is also false.
Finding the contrapositive statement -
We are given "if it is a square,then it is a quadrilateral ".
To determine the contrapositive of a conditional statement, we must switch the hypothesis and the conclusion and negate both.
The original statement is "If it is a square, then it is a quadrilateral." The hypothesis is "it is a square," and the conclusion is "it is a quadrilateral."
Contrapositive of our given statement is -
"if it is not a square,then it is not a quadrilateral "
Therefore, figure B is correct option.
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7. A standard dartboard has a radius of 170 mm and is split into 20 equal sections. What is the arc length of a single section on a dartboard rounded to the nearest millimeter?
The arc length of a single section on a dartboard rounded to the nearest millimeter is 53 mm.
What is equations ?
In mathematics, an equation is a statement that two expressions are equal. It typically involves one or more variables that can take on different values, and the goal is often to solve for the value(s) of the variable(s) that make the equation true.
According to given conditions :The total circumference of the dartboard is given by:
C = 2πr
where r is the radius of the dartboard.
Substituting the given values, we get:
C = 2π(170 mm)
C = 1068.18 mm
Dividing the circumference by the number of sections, we get the arc length of a single section:
Arc length = C/20
Arc length = 1068.18 mm/20
Arc length ≈ 53.41 mm
Rounding this to the nearest millimeter, we get:
Arc length ≈ 53 mm
Therefore, the arc length of a single section on a dartboard rounded to the nearest millimeter is 53 mm.
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Find the value of x
Answer:
x = 13
Step-by-step explanation:
We know that 5x, x+12, and 90 makes a straight line, which is 180 degrees
5x + x+12 + 90 = 180
Combine like terms.
6x+102=180
Subtract 102 from each side.
6x+102-102=180-102
6x = 78
Divide each side by 6
6x/6 = 78/6
x = 13
Answer:
x = 13
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
We know that,
→ The angle of right angle is 90°.
Forming the equation,
→ (x + 12)° + (5x)° = 90°
Then the value of x will be,
→ (x + 12)° + (5x)° = 90°
→ x + 12 + 5x = 90
→ (x + 5x) + 12 = 90
→ 6x + 12 = 90
→ 6x = 90 - 12
→ 6x = 78
→ x = 78 ÷ 6
→ [ x = 13 ]
Hence, the value of x is 13.
Evaluate the function for the given value. g(x) = 7x + 6
Answer:
g(2) = 20
Step-by-step explanation:
g(x) = 7x + 6 g(2)
g(2) = 7(2) + 6
g(2) = 14 + 6
g(2) = 20
So, the answer is g(2) = 20
At a restaurant, the bill comes to $76. If you decide to leave a 20% tip, how much total do you need to pay? Give your answer to the nearest dollar.
Answer:
$91
Step-by-step explanation:
bill = $76
tip = 20%
20% of bill = (20/100) * 76
= $15.2
total bill = $76 + $15.2
= $91.2
= $91
Find the volume of the solid
480 m³ is the volume of the given solid.
What is Volume?
The space that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
The dimensions of the trapezoidal prism are given in the diagram.
The dimensions of the cuboidal cavity are also given.
Volume of the solid = Volume of trapezoidal prism - Volume of cuboidal cavity
Volume of trapezoidal prism = (1/2)[Sum of parallel sides][h]×length
= (1/2)×[13+8]×[5]×10
= 525 m³
Volume of cuboidal cavity = l×b×h
= 10×3×1.5
= 45 m³
Volume of the solid = 525 - 45 m³
= 480 m³
The volume of the solid is 480 m³.
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9feet to3 3/8inches ratio
Answer:
32 : 1
Step-by-step explanation:
dimensions of the parts of the ratio must be in the same units
convert 9 feet to inches
1 foot = 12 inches
then
9 feet = 9 × 12 = 108 inches
then ratio
9 feet : 3 [tex]\frac{3}{8}[/tex] inches
= 108 inches : 3 [tex]\frac{3}{8}[/tex] inches ( change mixed number to improper fraction )
= 108 : [tex]\frac{27}{8}[/tex] ( multiply both parts by 8 to clear the fraction )
= 864 : 27 ( divide both parts by 27 )
= 32 : 1
evaluate the trigonometric function.
In response to the query, we have that The Pythagorean identity for theta = 30° is therefore confirmed since sin(30°) + cos(30°) = 1.
what is Pythagorean theorem?The fundamental Euclidean geometry relationship between the three sides of a right triangle is the Pythagorean Theorem, sometimes referred to as the Pythagorean Theorem. This rule states that the areas of squares with the other two sides added together equal the area of the square with the hypotenuse side. According to the Pythagorean Theorem, the square that spans the hypotenuse (the side that is opposite the right angle) of a right triangle equals the sum of the squares that span its sides. It may also be expressed using the standard algebraic notation, a2 + b2 = c2.
This trigonometric identity is valid for all theta values. Because it is connected to the geometry-related Pythagorean theorem, it is known as the Pythagorean identity.
According to Pythagorean theory,
[tex]Cos(theta)^2 + Sin(theta^)2 = 1[/tex]
So, you can easily include that value into the equation and simplify it if you need to assess sin(theta) + cos(theta) for a certain value of theta:
[tex]Cos(theta)2 + Sin(theta)2 = 1\\Sin(2) + Cos(30)\\If theta = 30, then 2(30) = 1.\\(1/2)\\c^2 + (√3/2)\\c^2 = 1 \s1/4 + 3/4 = 1 \s1 = 1[/tex]
The Pythagorean identity for theta = 30° is therefore confirmed since sin(30°) + cos(30°) = 1.
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Graph the following functions and determine where F(x) = G(x). State the x values only. Select all that apply.
a. 6.767
b. 0
c. 2.922
d. -2
The x-coordinate at which F(x) = G(x) is 0.667. By graphing the functions, the answer has been discovered.
What does graphing a function mean?Making a graph of the pertinent function is the first step in graphing a function. The function equation will be satisfied by a curve if it reflects the function at that location.
According to the given information:We are given two functions as f(x) = log (2x) and g(x) = 3x - 2
The graph of the given functions has been plotted and attached below.
In the graph, the red line represents the log function i.e. f(x) and the blue line represents the linear function i.e. g(x).
From the graph, we can observe that the two functions meet at two points which are (0.667, 0) and (0, -2).
Hence, the x value where F(x) = G(x) is 0.667.
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The following figure has volume as indicated. Find the value of x.
V = 128
a) 8
b) 16/8
c) 4
d) 16
The value of x for the given cone will be 4. The correct option is C.
What is the volume of the cone?The area a cone takes up in a three-dimensional plane is known as its volume. A cone's base is circular, so it is made of a radius and a diameter.
Given that the volume of the cone is V = 128π and the height of the cone is h = 24 units.
The value of the radius x will be calculated as,
V = ( 1 / 3 )πr²h
128π = ( 1 / 3) π x r² x 24
r² = 16
r = 4 units
Therefore, the value of x will be 4 units.
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Gabe missed three less than twice as many points as his friend Noah on their test if they missed a total of 18 points how many did gabe miss
Noah missed 7 points on the test. And Gabe missed 2x - 3 = 2(7) - 3 = 11 points on the test. So, Gabe missed 11 points on the test.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let x be the number of points that Noah missed on the test.
Then, the number of points that Gabe missed is 2x - 3, according to the problem.
The total number of points missed by both of them is given as 18.
So, we can write an equation based on the problem statement:
x + (2x - 3) = 18
Simplifying the equation, we get:
3x - 3 = 18
Adding 3 to both sides of the equation, we get:
3x = 21
Dividing both sides of the equation by 3, we get:
x = 7
Therefore, Noah missed 7 points on the test. And Gabe missed 2x - 3 = 2(7) - 3 = 11 points on the test. So, Gabe missed 11 points on the test.
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If ∑X = 4,390 and n= 4, what is M?
O a. 1,097.5
O b. 17,560
O c. need more information
O d. .0100
The mean of the data is 1097.5
What is mean value?A mean in math is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers. For example, with the data set: 8, 9, 5, 6, 7, the mean is 7, as 8 + 9 + 5 + 6 + 7 = 35, 35/5 = 7.
Mean = summation of item /number of items
summation of item = 4390
number of items = 4
therefore mean = 4390/4
= 1,097.5
therefore the mean if the data is 1,097.5
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You might need:
A circle has a circumference of 113.04 units.
I
Calculator
What is the diameter of the circle?
Use 3.14 for π and enter your answer as a decimal.
units
Answer:
36 Units
Step-by-step explanation:
The circumference (C) of a circle is related to its diameter (d) by the formula:
C = πd
We can rearrange this formula to solve for the diameter:
d = C / π
In this case, the circumference of the circle is C = 113.04 units and π is approximately 3.14. Substituting these values into the formula, we get:
d = 113.04 units / 3.14
d ≈ 36 units (rounded to the nearest unit)
Therefore, the diameter of the circle is approximately 36 units.
Answer:36 units
Step-by-step explanation:
Keisha can ride her skateboard two and one half miles an hour how far can you ride in 3/4 of an hour
Answer:
1 and 7/8.
Step-by-step explanation:
Two and a half= 5/2
5/2 x 3/4 = 15/8 = 1 7/8
what is the diameter of a circle with a circumference of 132ft ? Use 22/7 for pie
Answer:
Step-by-step explanation:
The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter.
Given that the circumference is 132ft and π is 22/7, we can write:
132 = (22/7)d
To solve for d, we can multiply both sides by 7/22:
132 × 7/22 = d
Simplifying the left side:
42 = d
Therefore, the diameter of the circle is 42 feet.
Answer:
D = 42
Step-by-step explanation:
Formula to find Diameter = [tex]\frac{C}{\pi }[/tex]
D = 132 ÷ [tex]\frac{22}{7}[/tex]
[tex]D = \frac{132}{1}[/tex] × [tex]\frac{7}{22}[/tex]
132 divide 22 = 6
D = 6 × 7
D = 42
complete the number pattern 9;27;81?
Answer:
the full numbers is 9, 27, 81, 243.
Answer:
243
Step-by-step explanation:
The youth center has installed a swimming pool on level ground. The pool is a right circular cylinder with a diameter of 24 feet and a height of 6 feet. To the nearest cubic foot, what is the volume of water that will be in the pool when it is filled with?
Rounding to the nearest cubic foot, the volume of water that will be in the pool when it is filled is approximately 2713 feet³.
What is volume?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The first step is to find the radius of the cylinder.
Since the diameter is given as 24 feet, the radius is half of the diameter or 12 feet.
Next, we can use the formula for the volume of a cylinder -
V = πr²h
where V is the volume, r is the radius, and h is the height.
Substituting the given values, we get -
V = π(12)²(6)
= π(144)(6)
= 2712.96
≈ 2713 cubic feet
Therefore, the volume value is obtained as 2713 cubic feet.
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The area of the triangle is 45.5 square units and the height of the triangle is given. What is the measurement of the base?
For the triangle which is mentioned above the measurement of the base will be 10 cm.
What is a Triangle?
With three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon also includes a triangle.
The area of a triangle is A=1/2b*h
Here, A is the area of triangle =45.5 square units
b will be the base(NEED TO FIND)
h will be the height = 9.1cm
Substituting, 45.5 = (1/2)×b×9.1
b= (45.5×2)/9.1
b= 10 cms
The base value will be: 10cms
The Complete Question: The area of the triangle is 45.5 square units and the height of the triangle is given as 9.1 cm. What is the measurement of the base?
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How to do a area problem
Answer: 205
Step-by-step explanation:
ok, the height of this thing is 22 so lets start whit the top. So the height of this thing is 17 not including the triangles at the top. And 22-17=5 so the height of these triangles is 5 and the base is 10 because if you dd the two 5s and subtract it from the whole base you get 10 and 10 x 7 is 70 /2 is 35 now for the rectangle in the middle the height is 7 and we alr know the base which is 10 so 7x10 is 70 70+35=105 ok now the last one 10 x 20= 200 +105= 205
Answer:
Area=295cm²
Step-by-step explanation:
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The length of a wall in a computer classroom is 15 metres. How many computer desks can be placed side-by-side along the wall if the desk has a length of 70cm and a breadth of 40cm
There will be 21 computer workstations that may be arranged side by side along the wall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The number of computer desks that can be placed side-by-side along the wall is calculated as,
⇒ (15 x 100) / 70
⇒ 1500 / 70
⇒ 21.42
There will be 21 computer workstations that may be arranged side by side along the wall.
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How many solutions does the system of linear equations graphed below have?
A. No solution
B. 1 solution
B. Infinitely Many Solutions
Determine whether the study is an experiment or an observational study, and then identify a major problem with the study.
In a survey, 1465 Internet users chose to respond to this question posted on a newspaper's electronic edition: "Is news online as satisfying as print and TV news?" 52% of the respondents said "yes."
Question content area bottom
Part 1
This is an
▼
experiment
observational study
because the researchers
▼
do not attempt to modify
apply a treatment to
the individuals.
Part 2
What is a major problem with the study?
A.
This is a convenience sample with voluntary response, which has a high chance of leading to bias.
B.
There is no blinding or replication, which has a high chance of leading to bias.
C.
The sample is not very large.
D.
The results apply only to Internet users.
This is an observational study because the researchers do not attempt to modify or apply a treatment to the individuals. Major problem with the study is A.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
This is a convenience sample with voluntary response, which has a high chance of leading to bias.
The survey relies on self-selection, meaning that only those who were interested in responding to the question chose to do so.
This can result in a biased sample that does not accurately represent the population of all internet users.
Additionally, the sample size is not known to be representative or sufficient for generalization, and there is no control group or experimental design to establish cause and effect.
Hence, this is an observational study because the researchers do not attempt to modify or apply a treatment to the individuals.
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