Answer:
The final cost is $43.2
Step-by-step explanation:
We have the following equation:
[tex]C=p(1+r)[/tex]
Where C is the final cost, p is the price before tax and r is the tax rate.
So, to calculated the final cost for a $40 item after 8% tax, we need to replace p by 40 and r by 0.08 and calculate the value of C as:
[tex]C=40*(1+0.08)=43.2[/tex]
Therefore, the final cost is $43.2
Answer: $43.20
Step-by-step explanation: The simplest way to do it (my way) is i first used (1 + r), which is (1 + 8%), that gave me 1.08, then I did the total amount, $40x1.08, which equals $43.20. This may not be the right way to do it, but it is the simplest.
Hope this helped :)
How many roots does a linear equation have?
Answer:
1 root
Step-by-step explanation:
A linear equation should only cross the x-axis at one point. That means there would only be 1 root. (Root is when y= 0)
Can someone please help I really need help
1 pound = 16 ounces.
9 pounds of sand x 16 = 144 total ounces of sand.
144 ounces / 6 ounce bottle = 24
He made 24 bottles.
Answer:
24 bottles
Step-by-step explanation:
Trevor bought 9 pounds of sand
He fills 6-ounce bottles
First let's convert pounds to ounces:
9 pounds= 9*16 ounces= 144 ouncesNow, number of bottles required:
144 / 6 = 24 bottlesA walking path across a park is represented by the equation A walking path across a park is represented by the equation y= -3x-3. A New path will be built perpendicular to this path. The Paths will intersect at a point paths will intersect at a point (-3, 6). Identify The equation that represents the new path.
Answer:
The equation representing the new path is;
[tex]y = \dfrac{1}{3} \cdot x + 7[/tex]
Step-by-step explanation:
The equation of the first walking park across the park is y = -3·x - 3
By comparison to the equation of a straight line, y = m·x + c, where m = the slope of the line, the slope of the line y = -3·x - 3 is -3
The park's new walking path direction = Perpendicular to first walking path
A line perpendicular to a line of (as example) y = m₁·x + c has a slope of -1/m
∴ The park's new walking path slope = -1/(Slope of first path) = -1/(-3) = 1/3
The point the paths will intersect = (-3, 6)
The equation of the line is found by recalling that [tex]Slope, \, m_1 =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where:
y₂ and x₂ are coordinates of a point on the new walking path
y₁ and x₁ are coordinates of a point on the new walking path intersecting the first walking path
Given that (-3, 6) is the intersection of the two walking paths, therefore, it is a point on the new walking path and we can say x₁ = -3, y₁ = 6
Therefore, we have;
[tex]Slope, \, m_1 =\dfrac{y_{2}-6}{x_{2}-(-3)} = \dfrac{y_{2}-6}{x_{2}+3} =\dfrac{1}{3}[/tex]
Which gives;
(y₂ - 6) × 3 = x₂ + 3
y₂ - 6 = (x₂ + 3)/3
y₂ = (x₂ + 3)/3 + 6 = 1/3·x₂ + 1 + 6 = 1/3·x₂ + 7
Which gives the equation representing the new path as [tex]y = \dfrac{1}{3} \cdot x + 7[/tex].
Can someone please explain to me where did he get that 13 from or how to get it?
Answer:
2/9 * (-4 - 3) + 3
= 2/9 * (-7) + 3
= -14/9 + 3
= -14/9 + 27/9
= 13/9
Como le explicarian a un compañero como se puede descomponer un numero escribiendo sumas y potencias de 10? Como se puede averiguar el valor relativo de cada cifra de un numero? Busquen ejemplos que den cuenta a esta explicacion
Answer:
Léase explicación detallada para mayor entendimiento.
Step-by-step explanation:
La metodología a utilizar es la siguiente, un número de base 10 es una combinación de dígitos entre 0 y 9, el dígito a la derecha del observador es el dígito pivote, el orden del dígito aumenta a medida que el observador dirige la mirada hacia su izquierda. Asimismo, el orden del dígito disminuye a medida que el observador dirige la mirada hacia su derecha.
Ejemplo - Ponga en orden descendente el orden de los dígitos de 3605.
Se descubre que el 5 es el dígito pivote (Orden 0), 0 esta un orden por encima del dígito pivote (Orden 1), 6 esta a dos órdenes por encima del dígito pivote (Orden 2) y 3 está tres órdenes por encima del dígito de menor pivote (Orden 3). En consecuencia, la jerarquía de los dígitos en orden descendente es 3 - 6 - 0 - 5.
Ejemplo - Ponga en orden ascendente el orden de los dígitos de 245,471.
Se descubre que el 5 es el dígito pivote (Orden 0), 4 está un orden por encima del dígito pivote (Orden 1) y 2 está dos órdenes por encima del dígito pivote (Orden 2). Asimismo, 4 está un orden por debajo del dígito pivote (Orden -1), 7 está dos órdenes por debajo del dígito pivote (Orden -2) y 1 está tres órdenes por debajo del dígito pivote (Orden -3). En consecuencia, la jerarquía de los dígitos en orden ascendente es 1 - 7 - 4 - 5 - 4 - 2.
Ahora, se puede descomponer un número conforme el número a partir de sumar cada dígito multiplicado por 10 elevado por el orden que le corresponde dentro del número, cuyo procedimiento se explica con un ejemplo:
Ejemplo - Descomponga 1268.153 en sumas y potencias de 10.
El dígito 8 es el dígito pivote, existen tres dígitos cuyo es superior al del dígito pivote y tres dígitos con un orden inferior al dígito pivote, entonces este número real se puede reescribir como sigue en orden descendente:
[tex]1268.153 = 1 \times 10^{3} + 2 \times 10^{2} + 6\times 10^{1} + 8 \times 10^{0} + 1 \times 10^{-1} + 5\times 10^{-2} + 3 \times 10^{-3}[/tex]
How much metres per second did the cyclist travel from 8 a.m. to 10 a.m? (*TIP: 2 hours = 7200 seconds, 2 km= 2000 m). Give the formula used, show your working and round off your answer to two decimal places. Don't forget the unit!
Answer:
[tex]Speed = 0.28m/s[/tex]
Step-by-step explanation:
Your question seem incomplete; however, I'll assume the given tips as the usable parameters.
Given
Distance = 2km
Time = 2 hours (8am to 10am)
Required
Calculate speed (in metres per seconds)
Speed is calculated as follows:
[tex]Speed = \frac{Distance}{Time}[/tex]
Substitute 2 km for distance and 2 hours for time.
[tex]Speed = \frac{2km}{2hr}[/tex]
Convert km to metres an hr to seconds.
[tex]Speed = \frac{2000m}{7200s}[/tex]
[tex]Speed = 0.277778 m/s[/tex]
[tex]Speed = 0.28m/s[/tex] (Approximated)
Hence, the cyclist travels at 0.28m/s
The figure à shown on ancient coin which was once used in china.the coin is in the shape of a circle of radius 3cm with a square of sides x cm removed from its center.the area of each face of coin is 7picm2.
(1)from an equatin in x and showw that itvis reduces to 2pi-x2=0.
(2)solve the equation 2pi-x2=0.
(3)find the perimeter of the square
Answer:
(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm
Step-by-step explanation:
(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²
The area of the square of x sides removed from its center is x².
The area A of the each face of the coin is thus A = 9π - x²
Since the area of each face of the coin A = 7π cm²,
then
7π = 9π - x²
9π - 7π - x² = 0
2π - x² = 0
(2) Solve the equation 2π - x² = 0
2π - x² = 0
x² = 2π
x = ±√(2π)
x = ± 2.51 cm
Since x cannot be negative, we take the positive answer.
So, x = 2.51 cm
≅ 2.5 cm
(3) Find the perimeter of the square
The perimeter of the square, p is given by p = 4x
p = 4 × 2.51 cm
= 10.04 cm
≅ 10 cm
Please answer this question now in two minutes
Answer:
c. Not enough information
What is 9 + 10 ? I’m so confused. People keep telling me it’s 21 but it doesn’t seem right.
Answer:
It's 21.
Step-by-step explanation:
The factors of 9 are 3 and 3. (You need to multiply 3x3 to get 9.) The factors of 10 are 5 and 2. But, if you multiply 3 by 5, which gives you 15, and multiply the other 3 by 2, which gives you 6, and then add 6 to 15, you get 21.
Which equations are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A x = − x + x + 0 + x x=−x+x+0+xx, equals, minus, x, plus, x, plus, 0, plus, x (Choice B) B x = 0 + ( x + 0 ) x=0+(x+0)x, equals, 0, plus, left parenthesis, x, plus, 0, right parenthesis (Choice C) C None of the above Stuck?Watch a video or use a hint.
Answer:I cStep-by-step explanation:
Write a pair of integers whose difference gives. (a) a negative integer. (b) zero. (c) an integer smaller than both the integer. (d) an integer smaller than only one of the integers. (e) an integer greater than both the integers.
Answer:
(a)5 and 8
(b)5 and 5
(c) 7 and 5
(d)6 and 2
(e)6 and -2
Step-by-step explanation:
(a)a negative integer
We consider the integers 5 and 8
Difference = 5-8 =-3
3 is a negative integer.
(b)Zero
We consider the integers 5 and 5
Difference = 5-5 =0
(c) an integer smaller than both the integer.
We consider the integers 7 and 5
Difference = 7-5 =2
2 is smaller than both integers.
(d) an integer smaller than only one of the integers.
We consider the integers 6 and 2
Difference =6-2=4
4 is smaller than only 6.
(e)an integer greater than both the integers
We consider the integers 6 and -2
Difference =6-(-2)=6+2=8
8 is greater than both 6 and -2.
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Step-by-step explanation:
In my opinion the reason 4 is incorrect
Answer:
Step-by-step explanation:
step 4 suppose to be :Step 2: Multiply both sides by 2/3.
(2/3)*(3/2x)=(2/3)*(60)
How many values of x make 6x+8= 54 a true statement?
a) one value
b) no values
c) infinite values
Answer:
c
[tex]7.6666666666[/tex]
bcz its
Step-by-step explanation:
[tex]6 = 54 - 8 \\ 6x = 46 \\ x = 46 \div 6 \\ x = 23 \div 3 \\ [/tex]
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A pattern is made from 4 congruent squares the sides of the squares are parallel to the axis
Answer:
Coordinate of C = (22, 20)
The Complete Question related to this found at ELEVISE website is stated below:
A pattern is made from four identical squares. The sides of the squares are parallel to the axes. Point A has the coordinates (6, 7)
Point B has the coordinates (38, 36)
Point C is marked on the diagram.
Work out the coordinates of C.
Step-by-step explanation:
Coordinates (x, y)
Point A has the coordinates (6, 7)
Point B has the coordinates (38, 36)
Find attached the drawing
From the labelled diagram
Change in y = 36-7 = 29
Change in x = 38-6 = 32
Using the horizontal axis:
The length of congruent 4 squares is between 38 and 6 = 32
The length of each congruent 4 squares = 32/4
The length of each congruent 4 squares = 8
Therefore the dimensions of the square is 8 by 8
Coordinate of C (x, y)
For x axis = 38 - length of 2 squares OR 6+ length of 2 squares
38 - length of 2 squares =38 - 2(8)
= 38-16 = 22
For y axis = 36 - length of 2 squares
= 36 - 2(8)
= 36-16 = 20
Coordinate of C = (22, 20)
Subtracting Rational Numbers Simplify –3 – 1.
Answer:
-4
Explanation:
when subtracting a positive integer from a negative, the answer becomes smaller. If the question were to ask -3-(-1) negative 3 minus negative 1, the subtraction sign becomes a addition sign, and you add 1 to -3.
Answer: -4
Step-by-step explanation: To subtract the integers -1 - 1, I would first change the minus sign to plus a negative.
So we have -1 + -1.
Now let's use a number line to find our answer.
Starting at 0, -3 moves us 3 units to the left, then from there,
-1 moves us 1 more unit to the left and we end up at -4.
So -3 + -1 is -4.
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Step-by-step explanation:
It's given that <KPL and <JPL are linear pair so when we add both we will get 180° so
<KPL + <JPL = 180° [ Being linear pair ]
2x + 24 + 4x + 36 = 180
6x + 60 = 180
6x = 120
x = 120/ 6
Therefore x = 20
Now
x = 20
m<KPL = 2x + 24 = 2 * 20 + 24 = 64
m<JPL = 4x + 36 = 4 *20 + 36 = 116
PLEASE HELP WITH THIS 25POINTSSSS!!!!!!
The probability distribution for the number of students in statistics classes at is given, but one value is missing. Fill in the missing value, then answer the questions that follow. Round solutions to three decimal places, if necessary. x P ( x ) 23 0.08 24 0.12 25 0.15 26 27 0.1 Find the mean number of students in a Statistics class at : μ = Find the standard deviation of the number of students in a Statistics class at : σ =
Answer:
The mean number of students in a Statistics class = 25.47
The standard deviation of the number of students in a Statistics class = 1.081.
Step-by-step explanation:
We are given the following probability distribution for the number of students in statistics classes below;
X P(X) [tex]X \times P(X)[/tex] [tex]X^{2} \times P(X)[/tex]
23 0.08 1.84 42.32
24 0.12 2.88 69.12
25 0.15 3.75 93.75
26 0.55 14.3 371.8
27 0.10 2.7 72.9
Total 1 25.47 649.89
The missing value against value 26 is calculated as;
= 1 - (0.08 + 0.12 + 0.15 + 0.10) = 0.55
The mean of the following data is given by;
Mean,[tex]\mu[/tex] = [tex]\sum X \times P(X)[/tex] = 25.47
The variance of the following data is given by;
Variance,[tex]\sigma^{2}[/tex] = [tex]\sum X^{2} \times P(X) - (\sum X \times P(X))^{2}[/tex]
= [tex]649.89 - (25.47)^{2}[/tex]
= 1.1691
Standard deviation = [tex]\sqrt{1.1691}[/tex] = 1.081
this Venn diagram shows was played by 10 students let event A = was the same play basketball like even see it with a student play soccer what is a P(A OR B)
Answer:
B. 3/5 is correct.
Step-by-step explanation:
P(A or B) is the number of students within either set (circle) divided by the total number of students (10).
There are 6 students (3+1+2) in the sets, so
P(A or B) = 6/10 = 3/5
Answer B. 3/5 is correct.
The value of P(A or B) from the Venn diagram is 2/5.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
Event A = Students that play basketball
Event B = Students that play Soccer
Now,
From the Venn diagram,
P(A) = 3/10
P(B) = 2/10
P(A ∩ B ) = 1/10
Now,
P(A or B) = P(A U B ) = P(A) + P(B) - P (A ∩ B)
So,
P(A U B )
= P(A) + P(B) - P (A ∩ B)
= 3/10 + 2/10 - 1/10
= (3 + 2 - 1) / 10
= 4/10
= 2/5
Thus,
The value of P(A or B) is 2/5.
Learn more about the Venn diagram here:
https://brainly.com/question/1605100
#SPJ7
Please help me!!!!!!!!!!!!!!!!!
Answer:
A is the correct option.
Step-by-step explanation:
1/12 = 0.0833333333
Answer:
Option A
Step-by-step explanation:
=> [tex]\frac{1}{12}[/tex] = 0.8333.........
=> [tex]\frac{7}{8}[/tex] = 0.875
=> [tex]\frac{14}{25}[/tex] = 0.56
=> [tex]\frac{17}{20}[/tex] = 0.85
=> [tex]\frac{6}{10}[/tex] = 0.6
So, 1/12 is the repeating decimal whose digits are periodic and repeats infinitely.
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Answer:
Step-by-step explanation:
From the graph we can notice that :
g(2)=5g(-2)=2g(3)=0g(5)=1Again we can deduce from the graph that :
g(x)=0 when x= -3g(x)=6 when x= 0el 2 porsiento del 2 porsiento del 2 porsiento de 100 es uno
Answer:
No... El 2 porsiento del 2 porsiento del 2 porsiento de 100 es 0.0008.
Step-by-step explanation:
100 * 2% = 100 * 0.02 = 2
2 * 2% = 2 * 0.02 = 0.04
0.04 * 2% = 0.04 * 0.02 = 0.0008
A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $135 for 100 minutes of usage and $375 for 500 minutes of usage. An equation can be written to show the relationship between the total minutes used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph of y against x? (1 point)
Answer:
Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6
The ordered pairs are: (100, 135) and (500, 375)
The first number is the number of minutes of usage and the second number is the charge of the month.
The slope is: ( 375 -135) / (500 - 100) = 240/400 = 0.6
Step-by-step explanation:
A person is standing \(40\) ft from a light post and can see the top of the light at a \(35^\circ\) angle of elevation. The person’s eye level is \(5\) feet from the ground. What is the height of the lightpost to the nearest foot.
Answer:
The height of the lightpost is 33.008 feet
Step-by-step explanation:
Refer the attached figure
Distance between lamp post and person = AB = 40 feet
Height of person = BC = 5 feet
The angle of elevation = ∠DCE =35°
Height of light post = AD
AB=CE=40 feet
In ΔDCE
[tex]\frac{Perpendicular}{Base}=Tan \theta \\\frac{DE}{CE}=tan 35^{\circ}\\\frac{DE}{40}=tan 35^{\circ}\\DE=40 \times tan 35^{\circ}\\DE=28.008[/tex]
Height of light post = AD=DE+AE=28.008+5=33.008
Hence the height of the lightpost is 33.008 feet
Calculate the following without the use of a calculator
6-(-4) - 5
Answer:
Calculate 6-(-4)-5
6-(-4)-56+4-510-55so : 6-(-4)-5 = 5
The Answer is 5
if you calculate it you get 5
Acellus
Find the value of x that will make
L||M.
2+5
x-5
--
X -
- [?]
Answer:
x = 60
Step-by-step explanation:
L // M
Sum of co-interior angles = 180
2x + 5 + x - 5 = 180
Add the like terms
3x + 0 = 180
3x = 180
Divide both sides by 3
3x/3 = 180/3
x = 60
perpendicular to 2x-3y+12=0
Answer:
3x +2y = 0
Step-by-step explanation:
Swapping the x- and y-coefficients and negating one of them will get you a perpendicular line. Since you have not specified a point, we can make it go through the origin:
3x +2y = 0
Which best explains why these two figures are similar or not similar?
Hey there! :)
Answer:
These two figures are similar because 5/3 equals 15/9.
Step-by-step explanation:
These figures are similar to each other, which means the side-lengths are proportional. Therefore:
[tex]\frac{5}{9} = \frac{15}{9}[/tex]
Side-lengths 15 and 9 are proportional to 5 and 3 because the two fractions are equivalent; the larger rectangle is just 3 times larger.