Step-by-step explanation:
Marked price (MP) = x
Selling Price after discount (SP after discount)
= Rs. 1350
Discount rate = 25%
Now
SP after discount = MP - discount % of MP
1350 = x - 25 % of x
1350 = x - x / 4
1350 = 3x / 4
1350 * 4 =3x
5400 / 3 = x
Therefore x = Rs. 1800
The marked price is Rs. 1800
Find the area of the polygon with the given vertices. J(-3,4), K(4,4), L(3,-3)
Answer:
A = 24.5 square unitsStep-by-step explanation:
\(J(-3,\,4)\ \ \implies\ y_J=4\\\\K(4,\,4)\ \ \implies\ y_K=4\\\\y_K=y_J\ \ \implies\ JK\parallel X{-}axis\ \implies\ H=|y_L-y_K|\quad\ \{for\ JK=base\}\\\\H=|-3-4|=|-7|=7\\\\\\ JK\parallel X{-}axis\ \implies\ B=JK=|x_J-x_K|=|-3-4|=7\\\\\\A=\frac12BH\\\\A=\frac12\cdot7\cdot7=24.5\)
If line segment AB is the perpendicular bisector of line segment XY at point P,
check all of the correct conclusions that can be made.
Answer: xp=py
<xpa=<apy
4 right angles are formed
2(xp)=xy
<xpa and <apy are supplements.
Step-by-step explanation:
Milas graphs the relationship between temperature in ° C degree and elevation in m on her hike. What was the warmest temperature on her hike? Choose 1 answer: (Choice A)−9°C degree (Choice B) 7 ° C degree (choice C) 5°C degree (Choice D) 6 ° C degree
The warmest temperature on her hike was when she was at the elevation which had 6°C degree. The Option D.
How does the graphs show relationship between temperature in ° C degree and elevation?A warm temperature refers to a moderately high temperature characterized by comparatively high temperature.
Among the temperature given, at the warmest temps on the graph which is 6 degree celcius, the elevation was at 450 meter above sea level based on the graph. Therefore, the Option D is correcr.
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chipotle mexican grill inc. issues a 6 percent coupon bond with 19 years maturity and $1,000 face (par) value. if the current market price of this bond is $986, find its yield to maturity.
To find the yield to maturity (YTM) of the bond, we need to solve for the interest rate that equates the present value of the bond's cash flows to its current market price.
The cash flows of the bond consist of the periodic coupon payments and the final principal repayment. In this case, the bond has a 6% coupon rate and a 19-year maturity with a $1,000 face value.
The YTM can be calculated using financial functions or by using an iterative approach. Here, I will demonstrate the iterative approach using the Newton-Raphson method to solve for YTM:
Step 1: Set the parameters and initial guess
Face value (F) = $1,000
Coupon rate (C) = 6% = 0.06
Maturity (N) = 19 years
Market price (P) = $986
Initial guess for YTM (r) = 0.06 (6%)
Step 2: Set up the equation to solve
The present value of the bond's cash flows can be calculated as follows:
P = C * (1 - \((1 + r)^{(-N)}\)) / r + F / \((1 + r)^N\)
Step 3: Iterate to find the YTM
Use the Newton-Raphson method to iteratively solve for YTM until the equation is satisfied.
Repeat the following steps until convergence is achieved:
Calculate the present value of the bond's cash flows using the current YTM guess.
Calculate the derivative of the equation with respect to YTM.
Update the YTM guess using the formula:\(r_new = r - (P - calculated_present_value) / derivative\)
Continue iterating until the difference between the current and previous YTM guesses is negligible (i.e., convergence is achieved).
After performing the calculations, the yield to maturity (YTM) of the bond is approximately 6.11%.
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Please Help!! I will give Brainliest to the correct answer!!
Evaluate 12.3s +11.9t when s= 3 and t = 4
Thank you so much
Answer:
84.5
Step-by-step explanation:
12.3(3)+11.9(4)=84.5
Answer:
87.5
Step-by-step explanation:
12.3 x 3= 39.9=s
11.9 x 4= 47.6=t
47.6 + 39.9= 87.5
please help for brainliest and a lot of points
Answer:The solution is in the attached file
Step-by-step explanation:
Which one of these numbers is a composite number a.17 b.51 c.97 d.89
Step-by-step explanation:
The correct answer here is 51
\(\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)
Which one of these numbers is a composite number: 17, 51, 97, or 89?
\(\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\)
Composite numbers are divisible by 3 or more numbers.
17 is divisible by 1 and 17 only, so it's not composite.
51 is divisible by 1, 51, 3, and 17, so it's composite.
97 and 89 are divisible by two numbers only, so they are not composite.
So we conclude that the answer is
51
Good luck with your studies.\(\rule{300}{1}\)
A triangle has vertices at L(2, 2), M(4, 4), and N(1, 6). The triangle is transformed according to the rule R0, 180°.
Which statements are true regarding the transformation? Select three options.
The rule for the transformation is (x, y) → (–x, –y).
The coordinates of L' are (–2,–2).
The coordinates of M' are (–4,4).
The coordinates of N' are (6,–1).
The coordinates of N' are (–1,–6).
Answer:
A,B,E
Step-by-step explanation:
I took the test on edge
The statements that are true regarding the transformation are:
The rule for the transformation is (x, y) → (–x, –y).
The coordinates of L' are (–2,–2).
The coordinates of N' are (–1,–6).
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Since, A rotation of a point on the coordinate system for 180 degrees about the origin results is,
⇒ (x, y) → (-x, -y).
Given that;
The coordinate of L is (2, 2),
Then, the coordinates of L' is (-2, -2).
And, the coordinates of N is (1, 6),
then the coordinate of N' is, (-1. -6)
Therefore, the statements that are true regarding the transformation are:
The rule for the transformation is (x, y) → (–x, –y).
The coordinates of L' are (–2,–2).
The coordinates of N' are (–1,–6).
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andrea has 37 coins, all nickels and dimes. the value of the 37 coins is $3.10. how many dimes does andrea have?
Therefore, Andrea has 25 dimes in 37 coins, all nickels and dimes and the value of the 37 coins is $3.10.
Let's represent the number of nickels by "n" and the number of dimes by "d".
From the problem, we know that:
n + d = 37 (equation 1) ---(the total number of coins)
0.05n + 0.1d = 3.10 (equation 2) ---(the total value of the coins in dollars)
To solve for d, we can rearrange equation 1 to get:
n = 37 - d
Substitute this expression for n into equation 2 and simplify:
0.05(37-d) + 0.1d = 3.10
1.85 - 0.05d + 0.1d = 3.10
0.05d = 1.25
d = 25
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please help me with math!!!
Answer:
Step-by-step explanation:
To move all the constants to the right side: Subtract 0.4 from both sides
-9x = 3.6
To isolate the variable: Divide both sides of equation by -9
x = -3.6/9
Solution of the equation: -0.4
Part 2−20 Points - See Below Given this list of departments. 1. Receiving 2. Fabrication 3. Painting 4. Assembly \& Shipping 5. Offices 6. Restrooms \& lockers 7. Stores 1. Calculate how many relationship codes there will be in this chart. 2. Create an activity relationship diagram 3. Populate the diagram with codes for all the relationships 4. What is the percentage of codes in each category? Does it follow the standard percentages? 5. Provide at least 3 reason codes for the chart 6. Create a work sheet to assist in the creation of the dimensionless block diagram. 7. Create a dimensionless block diagram for your data B. Show the flow through the dimensionless block diagram
The task requires analyzing a list of departments and performing several tasks related to relationship codes, activity relationship diagrams, reason codes, a worksheet, and a dimensionless block diagram.
We need to consider the number of departments. Since we have 7 departments listed, the number of relationship codes can be calculated using the formula: (n * (n-1)) / 2, where n is the number of departments.
Substituting the value of n = 7, we get:
Relationship Codes = (7 * (7-1)) / 2
= (7 * 6) / 2
= 42 / 2
= 21
Therefore, there will be 21 relationship codes in the chart.
Create an activity relationship diagram:
An activity relationship diagram visually represents the relationships between departments. Here is a basic diagram representing the given departments:
Receiving --+
+-- Assembly & Shipping -- Offices
Fabrication--+
+-- Painting -- Stores
Restrooms & Lockers
Populate the diagram with codes for all the relationships:
To populate the diagram with codes, we can assign a unique code to each relationship. Here's an example of assigning codes to the relationships in the diagram:
Receiving (R) --+
+-- Assembly & Shipping (AS) -- Offices (O)
Fabrication (F)--+
+-- Painting (P) -- Stores (S)
Restrooms & Lockers (RL)
What is the percentage of codes in each category? Does it follow the standard percentages?
To determine the percentage of codes in each category, we need to count the number of codes in each category and calculate the percentage relative to the total number of codes (21).
In this case, we have the following categories and their respective codes:
Production: R, F, AS, P (4 codes)
Administration: O, S (2 codes)
Support: RL (1 code)
Percentage of Production codes = (4 / 21) * 100 ≈ 19.05%
Percentage of Administration codes = (2 / 21) * 100 ≈ 9.52%
Percentage of Support codes = (1 / 21) * 100 ≈ 4.76%
These percentages do not necessarily follow any standard percentages. The distribution of codes among categories can vary depending on the specific organization or context.
Provide at least 3 reason codes for the chart:
Reason codes are used to provide explanations or justifications for the relationships depicted in the chart. Here are three example reason codes for the given chart:
R01: Receiving department receives raw materials and supplies from external sources.
AS01: Assembly & Shipping department assembles products and prepares them for shipment.
O01: Offices department provides administrative support and management functions for the organization.
Create a worksheet to assist in the creation of the dimensionless block diagram:
Here's an example of a worksheet that can assist in creating the dimensionless block diagram:
Relationship Code From Department To Department
R Receiving Fabrication
F Fabrication Painting
AS Assembly & Shipping Offices
P Painting Stores
RL Restrooms & Lockers -
O Offices -
S Stores -
This worksheet lists the relationship codes along with the corresponding "From" and "To" departments.
Create a dimensionless block diagram for your data B. Show the flow through the dimensionless block diagram:
A dimensionless block diagram represents the flow of activities or information between different departments. Here's an example of a dimensionless block diagram based on the given data:
Receiving --> Fabrication --> Painting --> Stores
|
v
Assembly & Shipping --> Offices
|
v
Restrooms & Lockers
The arrows indicate the flow of activities or information from one department to another.
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Mrs Tilley Keeps a variety of poultry. This pie chart shows the numbers of What each kind:
27 Geese, 72 Hens, 45 Turkeys and 36 Ducks.
32. What percentage of the poultry are hens?
33. What percentage of the poultry are geese?
34. What fraction of the poultry are ducks?
35. What fraction of the poultry are turkeys?
Answer:
32. 40%
33. 15%
34. 1/5
35. 1/4
Step-by-step explanation:
Question 32
% Hens = No. of hens / Total poultry% Hens = 72 / 27 + 72 + 45 + 36% Hens = 72 / 180 = 2/5% Hens = 40%Question 33
% Geese = No. of geese / Total% Geese = 27/180 % Geese = 3/20% Geese = 15%Question 34
% Ducks = No. of ducks / Total% Ducks = 36/180% Ducks = 1/5Question 35
% Turkeys = No. of turkeys / Total% Turkeys = 45/180% Turkeys = 1/4Answer:
32. 40%
33. 15%
34. 1/5
35. 1/4
Step-by-step explanation:
Given:
27 Geese72 Hens45 Turkeys36 Ducks⇒ Total poultry = 27 + 72 + 45 + 36 = 180
\(\sf Percentage = \dfrac{Part}{Whole}\times 100\)
\(\implies \sf Hens = \dfrac{72}{180}\times 100=40 \%\)
\(\implies \sf Geese= \dfrac{27}{180}\times 100=15 \%\)
\(\sf Fraction= \dfrac{Part}{Whole}\)
\(\implies \sf Ducks=\dfrac{36}{180}=\dfrac{36 \div 36}{180 \div 36}=\dfrac{1}{5}\)
\(\implies \sf Turkeys=\dfrac{45}{180}=\dfrac{45 \div 45}{180 \div 45}=\dfrac{1}{4}\)
Yo can anyone help me, you’ll get BRAINLY if you answer correctly
We get the translation rule as (x-4, y+5) for triangle ABC.
We are given a triangle:
ABC where
A = (3, -1)
B = (7, -5)
C = (-2, -2)
And, we are also given the translation of the triangle as A'B'C'
where
A' = (-1, 4)
B' = (3, 0)
C' = (-6, 3)
We need to tell the translation rule for it,
For the x coordinate, we can see that:
- 1 - 3 = - 4
3 - 7 = - 4
- 6 - (-2) = -4
So, the rule for x coordinate will be:
x - 4
Now for y coordinate:
4 - (-1) = 5
0 - (-5) = 5
3 - (-2) = 5
So, the rule for y coordinate will be:
y + 5
Translation rule then becomes:
(x-4, y+5)
Therefore, we get the translation rule as (x-4, y+5) for triangle ABC.
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A marine biologist monitors the population of sunfish in a small lake. She recorded 800 sunfish at the beginning and 736 sunfish after the first year. Due to a wildfire, she was unable to gather data on year 2, but did record 623 fish during year 3.
The population of sunfish in the small lake decreased from 800 at the beginning to 736 after the first year. Data for the second year is missing due to a wildfire, but the population was recorded as 623 during the third year.
To explain further, the recorded population numbers indicate a decline in the sunfish population over the observed period. At the beginning, there were 800 sunfish. However, after the first year, the population decreased to 736. This suggests a reduction in the number of sunfish, potentially due to various factors such as predation, disease, or environmental changes.
Unfortunately, data for the second year is missing due to the wildfire, so we cannot determine the specific population change during that period. However, in the third year, the biologist recorded a population of 623 sunfish. This further indicates a decline in the sunfish population from the initial count.
It is essential for the marine biologist to continue monitoring the sunfish population to understand the long-term trends and potential factors influencing their numbers. Further data collection and analysis will provide valuable insights into the dynamics and conservation of the sunfish population in the small lake.
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Use the image to answer the question.
A rectangular prism net has a length of 6 inches, width of 3 inches, and a height of 2 inches.
Use the net to find the surface area of this rectangular prism.
A.
36 square cm
B.
72 square cm
C.
66 square cm
D.
60 square cm
Answer:
To find the surface area of the rectangular prism, we need to add up the areas of all six faces.
From the net, we can see that there are two rectangles with dimensions 6 x 3 (the top and bottom faces), two rectangles with dimensions 2 x 3 (the left and right faces), and two rectangles with dimensions 6 x 2 (the front and back faces).
The area of each rectangle is given by the formula A = lw, where l is the length and w is the width.
So, the surface area of the rectangular prism is:
2(6 x 3) + 2(2 x 3) + 2(6 x 2)
= 2(18) + 2(6) + 2(12)
= 36 + 12 + 24
= 72
Therefore, the surface area of the rectangular prism is 72 square inches.
Which proportion satisfies the geometric mean (altitude) theorem for the triangle?.
We are instructed to select the ratio that fulfills the triangle's geometric mean (altitude) theorem by 2/h = h/3.
What is the triangle's geometric theorem?We are instructed to select the ratio that fulfills the triangle's geometric mean (altitude) theorem.The geometric mean of the line segments formed by the altitude on the hypotenuse is what the right triangle altitude theorem states the height on the hypotenuse to be. Two identical right triangles are created for a right triangle when a perpendicular is traced from the vertex to the hypotenuse.According to the geometric mean (altitude) theorem, the hypotenuse is divided into two segments by an altitude drawn at a right angle to it, and the product of these two segments equals the altitude times the altitude.2/h = h/3.
The Complete Question.
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2×+7+5×-4-× simplified
Answer:
Ummm
Step-by-step explanation:
This is confusing
Answer:
very confusing
Step-by-step explanation:
explainahh
Shape A is congurents to shape______, as shown by a reflection across the y-axis and then a translation down_____ units. B is congurents to shape_____, as shown by a reflection across the y-axis and then a translation down_____ units
Answer:
look below
Step-by-step explanation:
Shape A is congruent to shape ___F___, as shown by a reflection across the y-axis and then a translation down __3___ units. B is congruent to shape __D__, as shown by a reflection across the y-axis and then a translation down __2___ units
Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to
Consider using 3D printing technology to create the spherical fountain. This would allow for precise and customizable designs, and could potentially be more cost-effective than traditional manufacturing methods for complex shapes.
Use a mathematical formula to design the fountain. Here are the steps to design a spherical fountain:
Determine the desired size of the fountain. This will be the diameter of the sphere. Let's say your client wants a fountain with a diameter of 6 feet.
Calculate the radius of the sphere by dividing the diameter by 2. In this case, the radius is 3 feet.
Use the formula for the surface area of a sphere to determine the surface area of the fountain. The formula is: SA = 4π\(r^2\), where r is the radius of the sphere and π is a mathematical constant (approximately 3.14). In this case, the surface area is:
SA = 4π\((3)^2\)
SA = 4π(9)
SA = 36π
SA ≈ 113.1 square feet
Use the desired water flow rate to determine the volume of water that will flow through the fountain per minute. Let's say your client wants a flow rate of 50 gallons per minute.
Use the formula for the volume of a sphere to determine the volume of the fountain. The formula is: V = (4/3)π\(r^3\). In this case, the volume is:
V = (4/3)π\((3)^3\)V = (4/3)π(27)V = 36πV ≈ 113.1 cubic feetCalculate the amount of time it will take for the fountain to cycle through all of its water. This is known as the turnover time, and it is important to maintain water quality. The turnover time is calculated by dividing the volume of water in the fountain by the flow rate. In this case, the turnover time is:
Turnover time = Volume / Flow rateTurnover time = 113.1 / (50/60)Turnover time ≈ 2.28 minutesUse these calculations to design the fountain, taking into account any necessary adjustments for the manufacturer's limitations.
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Full Question: Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to modify the sphere to a series of cylindrical slabs with gradually decreasing radii.
factor x^2-3x-28 using the x method
Answer:
\( {x}^{2} - 7x + 4x - 28 \\ = x(x - 7) + 4(x - 7) \\ = (x - 7)(x + 4)\)
An account earns simple interest.
$2000 at 3.5% for 4 years
a. Find the interest earned.
$
b. Find the balance of the account.
Answer:
2280
Step-by-step explanation:
In the least-squares line ŷ = 5 − 10x, what is the value of the slope?
In the array below, in how many different ways can we start with the letter $A$ and move from letter to letter (horizontally, vertically, or diagonally), to spell the word "ARCH"?
[asy]
usepackage("amsmath");
usepackage("amssymb");
unitsize(0.6 cm);
label("$\text{A}$", (0.5,3.5));
label("$\text{R}$", (1.5,3.5));
label("$\text{C}$", (2.5,3.5));
label("$\text{H}$", (3.5,3.5));
label("$\text{R}$", (0.5,2.5));
label("$\text{R}$", (1.5,2.5));
label("$\text{C}$", (2.5,2.5));
label("$\text{H}$", (3.5,2.5));
label("$\text{C}$", (0.5,1.5));
label("$\text{C}$", (1.5,1.5));
label("$\text{C}$", (2.5,1.5));
label("$\text{H}$", (3.5,1.5));
label("$\text{H}$", (0.5,0.5));
label("$\text{H}$", (1.5,0.5));
label("$\text{H}$", (2.5,0.5));
label("$\text{H}$", (3.5,0.5));
[/asy]
Based on the information, it can be inferred that the number of possibilities to write arch is 37
How to find the number of possibilities that there are to write the word ARCH?To find the number of possibilities there are to write the word arch we must analyze the graph. Once we identify the position of each letter we must carry out the following procedure.
Find how many possible combinations each letter has to form the word. In this case, to begin with, we only have 3 options to connect A with R. However, each R has at least 3 options to connect with the letter C, the R in the center has 5 possibilities to connect with the letter C.
On the other hand, each letter C has at least 4 possibilities of connecting with the letter H, and the middle C has 7 possibilities of connecting with the letter H.
To find the total number of possibilities we must add these values:
3 + 3 + 5 + 3 + 4 + 4 + 7 + 4 + 4 = 37According to the above, we have 37 combination options.
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Mollie watches a film that lasts 130 min it begins at 6:15 pm. What time did it end?
need help like please i really cant embarass myself.
Answer:
120+4w
Step-by-step explanation:
An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?
Thank you!
Answer: 12 child tickets
Step-by-step explanation:
We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.
Equation 1
5.25x+3.05y=498.6
This equation comes from the cost of tickets.
Equation 2
x+y=100
This equation comes from the number of tickets.
We can use elimination method to solve for y.
5.25x+3.05y=498.6
5.25x+5.25y=525
Now, we can subtract the equations for x to cancel out and to solve for y.
-2.2y=-26.4
y=12
If 8 ounces of cereal cost $2.99, then 16 ounces of cereal cost $5.98
Suppose that a linear system of equations in unknowns x, y, and z has the following augmented matrix.
Use Gauss-Jordan elimination to solve the system for x, y, and z.
Given a linear system of equations in unknowns x, y, and z with the following augmented matrix:{[1, -1, 0, 0, -7], [-2, 3, 0, 0, 2], [0, 0, 4, -2, 2]}Use Gauss-Jordan elimination to solve the system for x, y, and z.Solution:Step 1. The first step in solving this linear system of equations is to write the matrix in the form of an augmented matrix. In the following, we list the system of equations associated with the augmented matrix: 1x−1y=−72x+3y=24z−y=1 We begin by focusing on the first equation, which is:1x−1y=−7.
To get rid of the x-coefficient, we add one time the first equation to the second equation. This operation is written as follows:{[1, -1, 0, 0, -7], [-2, 3, 0, 0, 2], [0, 0, 4, -2, 2]}We add row1 to row2. -2r1 + r2 = r2{-2, 2, 0, 0, 14}r3 = r3This gives us the new augmented matrix.{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -2, 2]}Step 2Next, we focus on the second equation:0x+1y=−5.
The y-variable is isolated, and we now look at the third equation.4z−2y=1We can isolate the variable z by dividing the entire equation by 4 as follows:z−0.5y=0.25In order to eliminate y in the third row, we add 0.5 times the second row to the third row. This operation is written as follows:{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -2, 2]}We add 0.5 r2 to r3. r3 + 0.5r2 = r3{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -1, -1]}Step 3We can now solve for z using the third equation:4z−1y=−1z = (-1 + y) / 4.
Substituting this into the second equation gives:-2((1 - y) / 4) + 3y = 2y - 1 = 2y - 1Thus, y = 1/2.Substituting the value of y = 1/2 into the first equation gives:x - (1/2) = -7, so x = -13/2.Finally, we can substitute the values of x and y into the third equation to get the value of z: 4z - 1(1/2) = -1, so z = -3/2.The solution to the system of linear equations is: x = -13/2, y = 1/2, and z = -3/2.
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The next event requires each runner to jump 8 hurdles that are spaced 12.3 meters
apart. If there are 15 meters from the starting line to the first hurdle and 10.5 meters
from the last hurdle to the finish line, how long is the race? Show your work.
Answer:The race is 111.6
Step-by-step explanation:The race is 111.6 m long.
8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1
Add to this the distance to the first hurdle and the distance from the last hurdle:
86.1+15+10.5 = 111.6 m
Step-by-step explanation:
Answer:
If I am incorrect, please let me know.
Step-by-step explanation:
This is the work I did.
Please mark me brainliest :)
Sally has four continents 2 dime 6 nickels and 10 pennies can you please help me
Answer:
60 cents
Step-by-step explanation:
hhgfghgfgucixoszfup
Answer:
The answer is D. $1.60
Step-by-step explanation:
4 quarters equal $1.00
2 dimes equal .20 (or 20 cents)
6 nickels equal .30 (or 30 cents)
and 10 pennies equal .10 (or 10 cents)
when you add all of this together, you get $1.60 in total, i hope this helps (: