The residual value of Sally's leased car is 75%.
So, the answer is d. 75%.
To find the residual value of Sally's leased car, we can divide the value claimed by the leasing company by the original MSRP and multiply by 100 to express the answer as a percentage.
MSRP stands for Manufacturer's Suggested Retail Price. It is the price recommended by the manufacturer of a product for its retail sale.
Residual value refers to the estimated value of an asset at the end of its lease or at a specified future date. It is used in the context of lease financing or depreciation calculations and is usually expressed as a percentage of the original value of the asset. In the context of a car lease, the residual value refers to the estimated value of the car at the end of the lease term.
The residual value is:
= $28,500 / $38,000 * 100
= 75%
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Meg paints the whole outside of a 5 x 5 x 5 cube red and then cuts it up into 1 x 1 x 1 cubes. How many cubes have just one red face?
The number of cubes that has 1 face in red will be 54 which is placed at the center of all faces.
What are Samples?Samples are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
Meg paints the whole outside of a 5 x 5 x 5 cube red and then cuts it up into 1 x 1 x 1 cube.
There are 6 faces of the cube. The number of cubes that has 3 faces in red will be 8 which is placed at the corner.The number of cubes that has 2 faces in red will be 36 which is placed on the edge.The number of cubes that has 1 face in red will be 54 which is placed at the center of all faces.More about the sample link is given below.
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Two parallel lines are cut by a transversal as shown below.
Suppose m1=38°. Find m6 and m7.
Please help I don’t know how to do this
(See attached image)
Answer:
m∠6 = 142°
m∠7 = 38°
Step-by-step explanation:
You will be using postulates and theorems to solve this question.
Two parallel lines are cut by a transversal (Given)
- m∠1 = 38° (Given)
- m∠1 ≅ m∠3 (Vertical Angles Theorem)
∴ m∠3 = 38° (Definition of Vertical Angles Theorem)
- m∠3 ≅ m∠5 (Alternate Angles Theorem)
m∠3 = 38° ∴ m∠5 = 38° (Definition of Alternate Angles Theorem)
- m∠5 ≅ m∠7 (Vertical Angles Theorem)
m∠5 = 38° ∴ m∠7 = 38° (Definition of Alternate Angles Theorem)
m∠7 + m∠6 = 180° (Corresponding Angles Postulate)
m∠7 = 38° (Given above)
Plug in 38 for m∠7 and solve for m∠6:
(38) + m∠6 = 180
Isolate m∠6. Note the equal sign, what you do to one side, you do to the other. Subtract 38 from both sides of the equation:
m∠6 + 38 = 180
m∠6 + 38 (-38) = 180 (-38)
m∠6 = 180 - 38
m∠6 = 142°
-
Answers:
m∠6 = 142°
m∠7 = 38°
~
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5) Max makes $245 each week from his part-time job. He works from 6am
until 9am Monday through Friday. Each morning, on his way into work
work, he spends $4 on coffee. What fraction of Max's weekly income is
spent on coffee?
Answer:
4/49
Step-by-step explanation:
1 week : 5 working days
5*$4= $20
20/245= 4/49
Find the value of the variable x. If your answer is not an integer, write it in simplest radical form with
the denominator rationalized h
The value of the variables y and z are 18
How to determine the value of the variablesFrom the question, we have the following parameters that can be used in our computation:
The special right triangle
The special right triangle has one of its angles to be 45 degrees
This means that
Legs = Hypotenuse/√2
Using the above as a guide, we have the following:
Legs = 18√2/√2
Evaluate
Legs = 18
Hence, the value of y and z are 18
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In the synthetic-division problem shown below, what number belongs in the
place of the question mark?
2 1 -2 -8 5
2
?
10☐☐.
The solution is, the remainder is 9.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
find the remainder in the synthetic division
1 4 6 -1
Take down the first number 4 as it is. then multiply it with divisor 1 and put it below 6. then add it and do the same till we get remainder
1 4 6 -1
0 4 10
--------------------------------
4 10 9 -> Remainder
So the remainder is 9.
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2(x+4)=-6 what is x?
Answer: x = -7
explanation:
2(x+4)= -6
2x+8= -6
-8 -8
2x -14
Divide both sides by 2
X = -7
Answer:x=-7 I hope this helps
Step-by-step explanation:
2(x+4)=-6
Divide both sides of the equation by 2
X+4=-3
Move the constant to the right-hand side and change its sign
X=-3-4
Calculate the difference which means subtract-3 minus 4 which give you -7
X=-7
And that how you solve for X
image is the question
Answer:
350x + 200y - 4200 = 0
x intercept is (12,0)
y intercept (0,21)
steps:
ii
350x + 200y - 4200 = 0
Therefore, the equation in standard form that models the number of funnel cakes, x, and the number of deep-fried Oreos, y, Francis can buy if he spends $42.00 is:
350x + 200y - 4200 = 0
To find the x-intercept, we set y to zero and solve for x:
350x + 200(0) - 4200 = 0
350x = 4200
x = 12
Therefore, the x-intercept is 12. This means that if Francis only buys deep-fried Oreos (y = 0), he can buy 12 funnel cakes with $42.00.
Answer:
350x + 200y - 4200 = 0
x intercept is (12,0)
y intercept (0,21)
steps:
3.50x + 2.00y = 42.00
3.50x + 2.00y - 42.00 = 0
Multiplying both sides by 100 to eliminate the decimals, we get:
350x + 200y - 4200 = 0
x-intercept means what is x when y is 0
350x + 200(0) - 4200 = 0
350x = 4200
x = 12
y-intercept means what is y when x is 0
350(0) + 200y - 4200 = 0
200y = 4200
y = 21
So the x-intercept is (12, 0) and the y-intercept is (0, 21).
ChatGPT
To find the y-intercept, we set x to zero and solve for y:
350(0) + 200y - 4200 = 0
200y = 4200
y = 21
Therefore, the y-intercept is 21. This means that if Francis only buys funnel cakes (x = 0), he can buy 21 deep-fried Oreos with $42.00.
So the x-intercept is (12, 0) and the y-intercept is (0, 21).
ChatGPT
What are the coordinates of the point on the directed line segment from (-1,-9) to (8,9) that partitions the segment into a ratio of 4 to 5
Answer: To find the point on the directed line segment that partitions it into a ratio of 4 to 5, we can use the formula for a point on a line given two endpoints and a ratio. The formula is:
(x, y) = (1 - t) * (x1, y1) + t * (x2, y2)
where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the line segment, and t is a value between 0 and 1 that determines the location of the point along the line.
In this case, (x1, y1) = (-1, -9) and (x2, y2) = (8, 9), and we want the point that partitions the line segment into a 4 to 5 ratio, so:
t = 4 / (4 + 5) = 4 / 9
Plugging in the values into the formula:
x = (1 - t) * x1 + t * x2 = (1 - 4/9) * (-1) + (4/9) * 8 = (5/9) * 8 - (4/9) * 1 = 44/9 - 4/9 = 40/9
y = (1 - t) * y1 + t * y2 = (1 - 4/9) * (-9) + (4/9) * 9 = (5/9) * 9 - (4/9) * (-9) = 45/9 + 36/9 = 81/9
So the point that partitions the line segment into a 4 to 5 ratio is (40/9, 81/9).
Step-by-step explanation:
Compare / Contrast Exponential Equations
1.) 2 (1/5)x-5
2.) 3 (1/2)x-3
The main difference between the two equations is the rate at which the graphs increase (determined by the horizontal scaling factor) and the vertical position of the graph (determined by the vertical scaling factor and translation).
How did we get this assertion?Both exponential equations are in the form y = ab^x - c, where a is the vertical scaling factor, b is the horizontal scaling factor (also known as the growth factor), and c is the vertical translation. The difference between the two equations lies in the values of the parameters a, b, and c.
The first equation, 2 (1/5)x-5, has a vertical scaling factor of 2, a horizontal scaling factor of 1/5, and a vertical translation of -5. The graph of this equation will increase at a slower rate than the graph of the second equation.
The second equation, 3 (1/2)x-3, has a vertical scaling factor of 3, a horizontal scaling factor of 1/2, and a vertical translation of -3. The graph of this equation will increase at a faster rate than the graph of the first equation.
In summary, the main difference between the two equations is the rate at which the graphs increase (determined by the horizontal scaling factor) and the vertical position of the graph (determined by the vertical scaling factor and translation).
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SWIX (avio scab In circle O above, the length of arc BC is 2 cm, mZBOC = 32°, and m¿AOB = 96°. What is the length of arc AB?
The length of the arc AB is 6 cm when BC is 2 cm, ∠BOC = 32°, and ∠AOB = 96°.
What is the arc length of a circle?The arc length is the portion of the circumference of a circle. It is directly proportional to the central angle formed by an arc.
The center of the circle is O, where BC = 2 cm, ∠BOC = 32°, and ∠AOB = 96°. Draw the diagram as per the given data.
As 96° = 3×32°, it follows that ∠AOB = 3×∠BOC.
As the central angle formed by an arc is proportional to its length. It follows that AB = 3×BC.
Since, BC = 2 cm, it can be got that AB = 3×2 cm = 6 cm.
Therefore, the required answer is 6 cm.
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Factor out the gcf
10x^3+10x^2
The factorization of the given polynomial is 10x²(x+1).
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
The given polynomial is 10x³+10x².
Here, factors of the terms 10x³ and 10x² are
10x³= 2×5×x×x×x
10x²= 2×5×x×x
GCF of the terms is 2×5×x×x=10x²
10x²(x+1)
Therefore, the factorization is 10x²(x+1).
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The area of a triangle is four times the area of a square. If the base of the triangle and a side of the square are equal, what is the ratio of the side of the square to the height of the triangle?.
Answer:
1:8
Step-by-step explanation:
since the base and sides are equal, I'll use 2 as a value for them. since all square sides are equal, we can find the area of the square. 2(2)=4. this means that in the situation the area of the triangle is 16.
16=1/2(2)h
32=2h
16=h
the height of the triangle is 16, while the side of the square is 2. the ratio is 2:16, or 1:8
PLEASE HELP ASAP!!
4. Given f(x) = x^2 -3x -4 and g(x) = 2x^2 -5x – 12.
5. Describe how to find:
a. (g-f)(x)
b. (f/g)(x)
6. Would both of these functions have the same
domain and range? Explain why or why not.
Value of composite functions (g-f)(x) and (f/g)(x) are x² - 2x - 8 and
(x+1)/(2x - 3) respectively.both of these functions don't have the same
domain and range.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given functions,
f(x) = x² - 3x - 4
g(x) = 2x² - 5x - 12
1. (g - f)(x)
= g(x) - f(x)
= 2x² - 5x - 12 - (x² - 3x - 4)
= 2x² - 5x - 12 - x² + 3x + 4)
= x² - 2x - 8
x is defined for all real numbers
Domain = (-∞, ∞)
let y = x² - 2x - 8
x = √y + 2(x) - 8
Function is defined for y ≥ 9
Range is {y∈R , y ≥ 9}
2. (f/g)(x)
= f(x)/g(x)
= (x² - 3x - 4)/(2x² - 5x - 12)
= (x² - 4x + x - 4)/(2x² - 8x + 3x - 12)
= (x(x - 4) + 1(x - 4))/(2x(x - 4) + 3 (x - 4))
= (x+1)(x-4)/(2x+3)(x-4)
= (x+1)/(2x - 3)
function is defined for x ≠ 3/2, Domain is {x ∈ R : x ≠ 3/2}
Let y = (x+1)/(2x - 3)
y.2x - 3y = x + 1
-3y - 1 = x - 2xy
x = (-1 - 3y)/(1 - 2y)
function is defined for y ≠ 1/2, Range is {y ∈ R : y ≠ 1/2}
Domain and range are not same for both functions.
Hence, Value of composite functions (g-f)(x) = x² - 2x - 8 and
(f/g)(x) = (x+1)/(2x - 3), Domain and range is not same for both functions.
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If 0° ≤ Θ≤ 360°, then find angle(s) Θ.
tanΘ=1
Answer: Θ = [tex]45[/tex]
Step-by-step explanation:
tan x=sinx/cosx
and tan x is negative in the first and third quadrants.
tan x=1 for 45 degrees so tan x=-1 in the first quadrant 135 degrees and the third quadrant= 315 degrees
How many packets,each of dimensions 16 cm by 9 cm by 4 cm can be placed in a cubical box of side 1.2m long ?
The number of packets of dimensions 16 cm by 9 cm by 4 cm in a cubical box will be 3,000.
What is the volume?Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.
The volume of each packet is given as,
v = 16 x 9 x 4
v = 576 cubic cm
The volume of the cubical box is given as,
V = (1.2 x 100) x (1.2 x 100) x (1.2 x 100)
V = 120 x 120 x 120
V = 1,728,000 cubic cm
Then the number of packets is given as,
n = V / v
n = 1,728,000 / 576
n = 3,000
The number of packets of dimensions 16 cm by 9 cm by 4 cm in a cubical box will be 3,000.
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4v + 9 x 7? step by step
4v + (9 x 7)= 4v +56
ILL GIVE BRAINLEST FOR SHOWING WORK, rail train scale of 1:87 model:11 in actual:?
The actual train is 957 inches long.
What is a Ratio?A ratio indicates the number of times one number contains another. The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the ratio of the model train to the actual train is 1 : 87.
The model train is 11 inches long, therefore,
1=11
Then, the value of 87 is:
87 = 87×11
= 957
Hence, the actual train is 957 inches long.
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1. Interpret the domain restrictions on the demand and the supply functions. What do they represent in context of the scenario?
2. Suppose that in her first month Yaseen is able to create 15 kits. How much should she charge for each of these kits based on her supply function? How much should she charge for each of these kits based on her demand function? Show your work.
3. In her first month of business, Yaseen sells out of her kits in 3 days. In her second month of business, she decides to supply 60 kits. How much should she charge for each of these kits based on her supply function? How much should she charge for each of these kits based on her demand function? Show your work.
4. If Yaseen creates 60 kits in her second month of business and offers them for sale at $66 each, do you think she will sell all of them? Why or why not?
5. What family of functions do f(x) and g(x) belong to? How do you know?
6. If you were to graph two quadratic functions on the same xy-plane, how many intersection points could there be? Use examples to explain your thinking.
7. Use algebraic methods to find where Yaseen’s demand and supply functions intersect. What does this point(s) represent in context of this problem? Show all your work.
8. Confirm your answer from question 7 by using Desmos to create a single graph that shows both () and () with their domain restrictions. Provide a screenshot of your graph with the intersection point(s) marked.
To create 15 kits, Yaseen charge for each of these kits based on her supply function is $17.50.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Yaseen can produce 15 kits, the cost per kit she should charge is
p = 10 + 0.5q
p = 10 + 0.5(15) (15)
p = $17.50
She can produce 15 kits, the cost per kit she should charge is:
p = 30 - 0.5(15) (15)
p = $22.50
She can provide 60 kits, the cost per kit should be as follows:
p = 10 + 0.5q
Here, q=60
p = 10 + 0.5(60)
p = $40
She can produce 60 kits, the cost per kit should be set at:
p = 30 - 0.5(60) (60)
p = $15
Therefore, to create 15 kits, Yaseen charge for each of these kits based on her supply function is $17.50.
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Solve for X (pls give explanation as well)
2x + 6
70°
The sum of all the angles of triangle is 180°
We have the following angles:
70°90°2x+6The sum of all these angles will be equal to 180°
[tex] \sf \: 70 + 90 + 2x + 6 = 180[/tex]
Add all the constants[tex] \sf166 + 2x = 180[/tex]
Move the constant to the right hand side and change its sign[tex] \sf2x = 180 - 166[/tex]
Subtract the numbers[tex] \sf2x = 14[/tex]
Divide both sides by 2[tex] \sf2x \div 2 = 14 \div 2[/tex]
[tex] \boxed{ \tt \: x = 7}[/tex]
Now,The given angle is 2x+6, So put the value of x in this and find the value of angle
2x+62×7+614+620°Choose two equations that make up the system represented by the graph.
a. y= 5/4x
b. y=6-2.5x
c.y=2.5x + 6
d. y=6 - 3x
e. y=0.8x
Solve the system of equations and confirm the accuracy of your estimate
The system of equations are y = ( 5/4 )x and y = 6 - 3x where the value of x and y are 1.4117 and 1.765 respectively
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first equation be P
y = ( 5/4 )x be equation (1)
Let the second equation be Q
y = 6 - 3x be equation (2)
Substituting the values in the equation , we get
( 5/4 )x = 6 - 3x
Adding 3x on both sides of the equation , we get
6 = ( 5/4 + 3 ) x
( 17/4 )x = 6
Multiply by 4 on both sides of the equation , we get
17x = 24
Divide by 17 on both sides of the equation , we get
x = 24/17 = 1.4117
Substitute the value of x in equation (1) , we get
y = ( 5/4 ) ( 24/17 )
y = ( 30/17 )
y = 1.765
Hence , the equations are solved and the value of x and y are 24/17 and 30/17 respectively
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Shawn's mortgage balance of $263,000 is
compounded daily at a rate of 4.075%
annualized interest. If no payments are made
for 6 months, what will the balance be after
this time has passed?
The balance amount when compounded daily at a rate of 4.075% after 6 months is $269,320.60.
What is meant by compound interest?
The interest you earn on interest is known as compound interest. Compound interest, also known as interest on principal & interest, is the practice of adding interest to the principal amount of a loan or deposit. Compound interest is calculated for an amount based on both the principal and cumulative interest. The major distinction between compound and simple interest is this. If we examine our bank statements, we will typically see that our account is credited with interest on a yearly basis. Even while the principal remains the same, the interest changes annually. We can observe that interest rises over time. Thus, we can infer that the interest the bank charges is compound interest rather than simple interest.
Given,
Principal amount P = $263,000
Rate of interest r = 4.075%
Time period t = 6 months = 0.5 years
Final amount = [tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
where n = 365
A = [tex]P(1 + \frac{r}{n})^{nt} =263000(1 + \frac{0.04075}{365})^{365*0.5}[/tex] = $269,320.60
Therefore the balance amount when compounded daily at a rate of 4.075% is $269,320.60.
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convert 1,235 to three decimal places
Answer: la response est 1,235 je pense
Step-by-step explanation: trois decimal veux dire trois chiffre après la virgule donc on decale la virgule de 3 vers la gauche
HELPPPP ASAP 25 POINTS AN DID WILL MARK YOU AS BRAINLIEST!!!!Jack, Art, Fran, and Megan work as volunteers at the local kennel, Jack gives the dogs baths eve 4 days; Art cleans out cages every 6 days; Fran feeds the animals in Section Bevery 2 days, and Megan helps the receptionist every 3 days. How many times in 12 weeks will all 4 helpers be at the clinic on the same day? Show all work and explain how you got your answer.
Answer:
Below
Step-by-step explanation:
I will assume they are all there on day 1
then the LCM of 4 6 2 and 3 is 12 days
every 12 days they are there together
12 weeks = 12 x 7 = 84 days
84 / 12 = 7 times
day 1 13 25 37 49 62 74
Bailey is asked to draw a circle. She is given the center and two points on the circle, but she isn't told which point is which. The points are (-6, 3), (-15, 3), and (3,3). Bailey draws an accurate circle from this information. What is the equation of the circle she drew?
O (= - 6)3 + (3 - 3)? = 3
O (= - 3)? + (y - 3)? = 3
O (* + 6)3 + (y - 3)? = 81
О (= - 3)3 + (y - 3)? = 81
〇(c+15)+(- 3) = 81
O (= - 6)? + (3 - 3)? = 81p
The Equation of Circle is (x+ 6)² + (y - 3)² = 9².
What is Equation of Circle?The equation for a circle is given by:
(x-h)² +(y-k)² = a²
Where (h,k) is the center and a is the radius of the circle.
Given:
We have the points A(-6, 3), B(-15, 3), and C(3,3).
Using Distance Formula
AB = √(-15 + 6)² + (3-3)²
AB = √9²
AB= 9 unit
BC= √(3 + 15)² + (3-3)²
BC = 18 unit
and, AC = √(3+6)² + (3-3)²
AC = 9 unit
As, AB = AC then A has to be the center (-6, 3) with radius 9 unit.
Thus, the Equation of Circle is
(x+ 6)² + (y - 3)² = 9²
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¿Qué es un decimal entre decimales?
The accepted method for representing both integer and non-integer numbers is the decimal numeral system.
It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
What is a Decimal between decimals?A decimal between decimals is a decimal number that lies between two other decimal numbers.
For example, if you have two decimal numbers 0.2 and 0.3, a decimal between them would be any number that is greater than 0.2 and less than 0.3.
Some examples of decimals between 0.2 and 0.3 include 0.25, 0.26, 0.27, and so on.
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The question when translated in English is, "What is a decimal between decimals?"
If (a,-8) is a solution to the equation-a=4b-7, what is a
thus, a = -39 is the solution to the equation -a = 4b-7 when (a, -8) is a solution
What's equation?An equation is a fine statement that asserts the equivalency of two expressions. It generally consists of two sides, with an equal sign between them. Equations are used to describe connections between variables, and to break problems in colorful fields, including mathematics, wisdom, engineering, and economics.
Given by the question.
the equation given is -a = 4b - 7.
We are also told that (a, -8) is a solution to this equation. This means that if we substitute a for x and -8 for y, the equation will be true.
Substituting the given values, we get:
a = 4b - 7 (Given equation)
a = 4(-8) - 7 (Substituting b = -8, since (a, -8) is a solution)
a = -32 - 7 (Simplifying)
a = -39 (Final answer)
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4, 8, 16, 32, 64
Write the explicit form of the sequence above.
Answer:
I think its
Step-by-step explanation:
2^(n+1) is the explicit form
Dylan is hiking. He can either take a short cut up a steep flight of stairs or he can take the longer, flatter switchback route. If he goes on the switchback, he first travels west 60 meters and then turns and travels north 80 meters. Calculate the length in meters of the short cut up the flight of stairs. Round your answer to the nearest tenth.
We can use the Pythagorean theorem to find the length of the short cut up the flight of stairs. The theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Let's call the length of the short cut "x". Then, we can set up the following equation:
x^2 = 60^2 + 80^2
Expanding the squares:
x^2 = 3600 + 6400
x^2 = 10000
Taking the square root of both sides:
x = sqrt(10000)
x = 100
So, the length of the short cut up the flight of stairs is 100 meters.
A hotel had 45 guests call for room service, and 200 who did not. What percentage of the guests called for room service?
Answer:
Step-by-step explanation:
Number of guests who called for room service = 45
Total number of guests = 45 + 200 = 245
Percentage of guests who called for room service = (45/245) x 100% ≈ 18.4%
Therefore, approximately 18.4% of the hotel's guests called for room service.
Maya made fruit punch for a party. She mixed 2 gallons of orange juice, 5 quarts of pineapple juice, 4 pints of cranberry juice, and 6 cups of apple juice. How many quarts did she make in all?
Answer:
To add different quantities of liquids with different units of measurements, we need to convert them all to the same unit of measurement. In this case, let's convert everything to quarts since that is what we want the final answer to be in.
2 gallons = 8 quarts (since 1 gallon = 4 quarts)
5 quarts of pineapple juice = 5 quarts (no conversion needed)
4 pints of cranberry juice = 8 cups = 2 quarts (since 1 pint = 2 cups and 1 quart = 4 cups)
6 cups of apple juice = 1.5 quarts (since 1 cup = 0.25 quarts)
Now we can add up all the quantities:
2 + 5 + 2 + 1.5 = 10.5
Maya made 10.5 quarts of fruit punch in all