The estimated value of a motorcycle that is 5 years old is $4750.
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Let y represent the value of the motorcycle after x years.
The value is given by:
y = -750x + 8500
After 5 years (x = 5):
y = -750(5) + 8500 = 4750
The estimated value of a motorcycle that is 5 years old is $4750.
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Angle ADB is adjacent to angle BDC. Which of the following is a true statement about the angles?
We need x first
[tex]\\ \rm{:}\dashrightarrow 2x+3x-6=74[/tex]
[tex]\\ \rm{:}\dashrightarrow 5x-6=74[/tex]
[tex]\\ \rm{:}\dashrightarrow 5x=80[/tex]
[tex]\\ \rm{:}\dashrightarrow x=16[/tex]
<ADB=32°<BDC=42°The graph of y = 3 is shown on the grid.
Which ordered pair is in the solution set of y2 3?
(7. - 6)
(3,0)
(0 - 3)
(7,6)
A pizza is cut into pieces. Kevin takes 1/4 of the total pieces. Keith takes one piece less than twice the number of pieces Kevin took. How many of pizza are left ?
a. 1/4x
b. 1/4x+1
c. 1/2x+1
d. 3/4x-1
Answer: I believe the answer is d or b
Step-by-step explanation:
The number of pizza pieces left is (x + 4) / 4. Option c
How to determine the number of pizza pieces leftLet's assume the total number of pizza pieces is represented by 'x'.
Kevin takes 1/4 of the total pieces, which is (1/4) * x = x/4.
Keith takes one piece less than twice the number of pieces Kevin took, which is 2 * (x/4) - 1 = (2x/4) - 1 = x/2 - 1.
To calculate the number of pizza pieces left, we need to subtract the sum of Kevin's and Keith's pieces from the total number of pieces (x):
Leftover pieces = Total pieces - (Kevin's pieces + Keith's pieces)
= x - (x/4 + x/2 - 1)
= x - (3x/4 - 1)
= x - 3x/4 + 1
= (4x - 3x + 4) / 4
= (x + 4) / 4
Therefore, the number of pizza pieces left is (x + 4) / 4.
The correct option among the given choices would be (c) 1/2x + 1.
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Find the distance between the two points on a coordinate A(5, 1) B(-3,- 3)
Step-by-step explanation:
hope this help uhh ...
have a good day.
[tex]\tt AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\tt AB=\sqrt{(-3-5)^2+(-3-1)^2}\\\\AB=\sqrt{-8^2+-4^2}\\\\AB=\sqrt{80}=4\sqrt{5}[/tex]
Find the ‘exact’ perimeter of each triangle
Answer:
[tex]\huge\boxed{\sf 8 + 4\sqrt{2} \ cm }[/tex]
Step-by-step explanation:
[tex]\theta = 45 \textdegree[/tex]
opposite = 4 cm
Using tan first to find the adjacent side:
[tex]\displaystyle tan \theta = \frac{opposite}{adjacent} \\\\tan \ 45 = \frac{4}{adjacent}\\\\1 = \frac{4}{adjacent} \\\\Multiply \ 'adjacent' \ to \ both \ sides\\\\adjacent = 4 \ cm[/tex]
Finding Hypotenuse now by using Pythagorean theorem:
[tex](Hyp)^2 = (base)^2 + (perp)^2[/tex]
where base = 4, hyp = 4
(Hyp)² = (4)² + (4)²
(Hyp)² = 16 + 16
(Hyp)² = 32
Take sqrt on both sides
[tex]Hyp = 4\sqrt{2}[/tex] cm
Exact perimeter of triangle:
= base + perpendicular + hypotenuse
= 4 + 4 + 4√2
= [tex]8 + 4\sqrt{2}[/tex] cm
[tex]\rule[225]{225}{2}[/tex]
Find the value of k if the remainder is 13 when
25 + 4x4 + kx3 + x – 11 is divided by x + 3
Answer:
[tex]k = \frac{322}{27} [/tex]
Step-by-step explanation:
x + 3 = 0 → x = - 3
25 + 4(-3)⁴ + k(-3)³ + (-3) - 11 = 13
25 + 324 - 27k - 3 - 11 = 13
349 - 27k - 14 = 13
349 - 14 - 13 = 27k
349 - 27 = 27k
322 = 27k
k = 322/27
All of the following are terms that represent Slope EXCEPT:
A. Constant Rate of Change
B. Run Over Rise
C. Slant Angle
D. Change in y divided by change in x
Choose the kinds of symmetry the following figure has: point, line, plane, or none.
none
plane
point
line
Explanation:
Can we rotate the figure some angle smaller than 360 degrees and have it match up with its original image? The answer to that is "no". Any such rotation will change the image to something else. Therefore, this figure does not have any point symmetry (aka rotational symmetry).
Can we reflect one half of the figure over some line to get the other half? The answer here is also "no". The diagram has no reflectional symmetry either.
Plane symmetry is ruled out because that only applies to 3D settings.
For another concert at the state fair, if you decide to charge $7 per ticket you will make and income of 12,000
Tickets for the school play cost $4 for students and $7 for adults. For one performance,
146 tickets were sold for $779. How many tickets were for adults and how many were
for students?
81 students and 65 adults
70 students and 77 adults
80 students and 66 adults
65 students and 81 adults
Answer: D
Step-by-step explanation:
Total tickets sold is $779
Calculate the options to get the right answer.
Option D is correct at
81 students at $4 = 324
65 adults at $7= 455
Total is $ 779
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer/Step-by-step explanation:
The exponential function modeling the number of lions ⇒ the years passed since 2010 is appointed as
[tex]f(x)=2^1^+^2^x[/tex]
Well, If you have an question like what is exponential function?
Let's me tell you:
exponential functions which are expressed as some constant raised to the power of the argument called exponential function.
You might be asking how to find which function can model the given question..
[tex]\mathrm{Since \;2012 - 2010 = 2 \;and\; the\; number \;of\;lions = 32 =2^5}[/tex]
[tex]\mathrm{and \;2013 -2010 = 3\; and\; the\; number \;of\; lions\; =128 = 2^7}[/tex]
Hence, there is increment of 2 exponent as 1 year was changed.
Now, we have:
[tex]f(x)=2^2^x^+^a[/tex]
[tex]\mathrm{Thus,\; it\; increases \;every \;year \;by\; a \;ratio \;of \;2^(^2^)}[/tex]
[tex]\mathrm{Thus, \;in \;2011, \;it \;was \;2^(^5^) - 2^(^2^) = 2^(^3^)\; lions}[/tex]
[tex]\mathrm{In\; 2010, it\; was 2^(^3^) - 2^(^2^) = 2}[/tex]
Since Lions were introduced in the park in 2010, using f(x), it means;
[tex]x = 0, f(x) = 2[/tex]
[tex]x = 1, f(x) = 2^(^3^)[/tex]
[tex]x = 2, f(x) = 2^(^5^)[/tex]
[tex]x = 3, f(x) = 2^(^7^)[/tex]
Let's use the generic formula: y = ab^(x)
At x = 0 and y = 2, we have:
[tex]2 = a * b^(^0^)[/tex]
Thus,a = 2
At x = 1, y = 2^3
b = 8/2
b = 4
So the exponential equation is;
[tex]y = 2(4^(^x^))[/tex]
~Learn with Lenvy~
Please Help...
Which statement correctly represents the distance between points H and K?
Answer:
The first one is correct
Step-by-step explanation:
Find the area of the shaded polygons.
Answer:
9 sq.un.
Step-by-step explanation:
The polygon it is surrounded by an imaginary square of 4 X 4 units per side
To their area we subtract the areas of the imaginary triangles in white.
Results the area of the shaded polygon:
[tex]A=4^{2} -\frac{(2)(3)}{2} -2(\frac{(1)(3)}{2} )-\frac{(1)(2)}{2} =16-3-3-1=16-7=9sq.un.[/tex]
Hope this helps
Answer:
9 sq. un
Step-by-step explanation:
0.75(2 + 6 x 4 - 2 x 7 - 2) A. 1 B. 5.25 C. 8.5 D. 22.5
Hey there!
ORIGINAL EQUATION:
0.75(2 + 6 x 4 - 2 × 7 - 2)
WORKING WITHIN the PARENTHESES:
2 + 6 x 4 - 2 × 7 - 2
= 2 + 24 - 2 × 7 - 2
= 26 - 2 × 7 - 2
= 26 - 14 - 2
= 12 - 2
= 10
NEW EQUATION:
0.75(10)
SIMPLIFY IT!
7.50 ≈ 7.5
Therefore, your answer should be: 7.5
~Amphitrite1040:)
Can ΔTSR and ΔQRS be proven congruent by SAS?
A) yes, because along with the given information on the diagram, SR ≅ RS by the reflexive property
B) yes, because a reflection will map ΔTSR onto ΔQRS
C) yes, because P appears to be the midpoint of SQ and TR
D) no, because not enough is information given to prove the triangles congruent by SAS
Answer: D
Step-by-step explanation:
A) this is SSA, not SAS.
b) I'm not sure what this reflection would be
C) Don't assume
help meee pleaseeeeeee
Answer:
9
Step-by-step explanation:
we can use the pythagorean theorem so (15)²= (12)² + (x)²--> (15)²-(12)²=x²
take the square root of both sides ans x=9
note! this is a special type of triangle called a 3-4-5 special right triangle because all the sides when divided by a factor of 3 will simplify down to the sides 3-4-5 (only true when the hypotheneuse is the 5 because it's the longest side of a triangle)
A smartphone cost 220%, the sales tax is 4% .what is the total cost including tax
Answer:
88$
Step-by-step explanation:
please helpppppppp meeeeeeeeeeeeeeee
Answer: u can use a website called mixed numbers fractions it’s easy <3
1. 11/2
1. 11/22. - 1/2
1. 11/22. - 1/23. - 47/20
Hope this helps!
pleaseeeeeeeeeee help me this will mean alot
Answer:
Expressions A,C and E
Step-by-step explanation:
Collecting like terms will give us :
-5.5z +7y - 5
This is expression E
Expressions A and C are equivalent expressions meaning that they are the same thing but just in a different order.
Residents in Crown Heights voted on whether to open a Starbucks or a Coffe bean in a recently vacated lot.The number of votes in favor Starbucks was 1,760.The number for Coffe bean was 240.What percent of the voters were in favor of building the Starbucks?
Answer:
88%
Step-by-step explanation:
1760 + 240 = 2000. This means 1760/2000 of them were voting in favor of Starbucks. 1760/2000 simplifies to 88/100, which is 88%.
please. need help with this problem
Answer:
4/5
Step-by-step explanation:
this will not need the bot
Encontre x: 3x=27
ME AJudEm
Answer:
3x=27
x=27÷3
x=9
here is your answer
mark as brilliant
Answer:
[tex]\huge\boxed{\sf\:x = 9}[/tex]
Step-by-step explanation:
[tex]3x = 27[/tex]
Divide both the sides of the equation by 3.
[tex]x = \frac{27}{3}[/tex]
Now, solve it.
[tex]\boxed{x = 9}[/tex]
[tex]\rule{150}{2}[/tex]
Austin paid $18.25 for 1.2kg of pecans. What would it cost for 0.45kg of pecans?
Answer:
$6.84
Step-by-step explanation:
18.25/1.2 = x/0.45
The formula for area of a circle is pi*r^2. If the radius is 20, what is the area?
Answer:
area of circle = πr^2
just substitute 20 for r:
π(20)^2
= 400π
If the question ask for an answer in terms of pi, this is your answer. If it doesn't, simplify it further to get:
= 1256.637061 (m/cm)^2
You can round this however you like, but I would say either 3 significant figures, either 1 or 2 decimal places.
HELP ASAP Sofia plots points on the coordinate plane below to show amounts of time it takes her to bike certain distances.
Answer:
A
Step-by-step explanation:
I think of a number, multiply it by 3, and add 4, i get 22
PLEASE HELLLLLLLLLLLLLLLLLLLLLP Match the Translating Words with the Operations
Question 18 options:
Of
Quotient
Divided By
Deduct
Is
Product
Sum
Difference
1.
Addition
2.
Subtraction
3.
Multiplication
4.
Division
5.
Equals
Answer:
1. Addition
sum
2. Subtraction
difference
deduct
3. Multiplication
product
of (I'm not sure about this one, though)
4. Division
divided by
quotient
5. Equals
is
Step-by-step explanation:
The graph of the function y = sin (0.25x) is attached.
What are mathematical operations?The four basic mathematical operations : addition, subtraction, multiplication, and division.The symbols of basic math operations are -(+) for addition (−) for subtraction (×) for multiplication (÷) for division.
Given are the mathematical operations.
We can match the operations as -
Addition : SumSubtraction : Difference and deductMultiplication : Product and OfDivision : Divided by and quotientTherefore, the mathematical operations are matched with their equivalent names.
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Draw a rectangle that is 4 squares long and
1
--
2 of a square wide.
Then add up the partial squares to find the area.
Multiply to check your answer
Please include picture. thank you
Mocha is a client of bank one. He recieve his monthly bank statement for this personal current account from the bank question 1
I don't know what you think about it
Question is down below:
Answer:
61.(81) repeating
Step-by-step explanation:
Can u give me brainliest?