Answer:
a. 8,250
b. 0
Step-by-step explanation:
a) -2,750 (5) = -13, 750 + 22,000 = 8,250
b) -2,750 (8) = -22,000 + 22,000 = 0
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The worth of the car after 5 years is $8350
The worth of the car after 8 years is $0.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 5 = 8 is an equation.
We have,
The straight-line depreciation equation for a car is
y = -2,750x + 22,000.
The worth of the car after 5 years.
= -2750 x 5 + 22000
= -13750 + 22000
= 8350
The worth of the car after 8 years.
= -2750 x 8 + 22000
= -22000 + 22000
= 0
Thus,
The worth of the car after 5 years is $8350
The worth of the car after 8 years is $0.
Learn more about equations here:
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At a local aquarium there is a large cylinder shaped fish tank. The fish tank has a diameter of 8 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder of cylinder in cubic feet? 8.6.A *
V = π(8)²h
V = π(4)²h
V = π(4h)²
V = π(8h)²
Answer:
(A) V = π(8)²h
What is the factored form?
Answer:
(b − 10)(b^2 + 10b + 100)
Step-by-step explanation:
-2x + 2y = 2 4x –4y= 4A.No solutionB.One solution: x = _____ y = ___C.Infinitely many solutionsBONUS: A customer at a concession stand bought 2 boxes of popcorn and 3 drinks for $12. Another customerbought 3 boxes of popcorn and 5 drinks for $19. How much does a box of popcorn cost? _____________How much does a drink cost?__________________
Answer:
See answers below
Step-by-step explanation:
1) Given the simultaneous equation;
-2x + 2y = 2 .... 1 * 2
4x –4y= 4...2 * 1
____________
-4x + 4y = 4 .... 1
4x –4y= 4...2
Add both equations
4y-4y = 4-4
0y = 0
y = 0/0
Let x = k
Substitute x = k into 1
From 1: -2x + 2y = 2
-x+y = 1
-k + y = 1
y = 1+k
Hence the solution to the system of equation (x, y) is (k, 1 + k) where k is any integer.
The presence of k shows that the equation has many solutions since k can take any value
2) Let a box of popcorn be x
Let the cost of a drink be y
If a customer at a concession stand bought 2 boxes of popcorn and 3 drinks for $12, then;
2x + 3y = 12 ... 1
Also, if another customer bought 3 boxes of popcorn and 5 drinks for $19, then;
3x + 5y = 19 ...2
Solve 1 and 2 simultaneously
2x + 3y = 12 ... 1 * 3
3x + 5y = 19 ...2 * 2
_________________
6x + 9y = 36
6x + 10y = 38
Subtract
9y - 10y = 36 - 38
-y = -2
y = 2
Recall that 2x + 3y = 12
2x + 3(2) = 12
2x + 6 = 12
2x = 12-6
2x = 6
x = 6/2
x= 3
Hence a box of popcorn cost $3 and a drink cost $2
A car travels 320 miles in four hours. how far can a car travel in 60
Answer:
A car can travel 4800 miles in 60 hours
Step-by-step explanation:
Answer:
4800
Step-by-step explanation:
if the car drives 320 in 4 hours that means it travels 80 miles for 2 hour. multiply 80 by 60 and get 4800
17.65 - 3.619 in nearest tenth
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PLEASE HELP ME WITH THIS QUESTION!!
Answer: Never produce a rational numbers
Step-by-step explanation: IT doesnt matter if integers are added, subtracted, multiplied, or divided, intergers will always be integers.
Please help please ASAP no rocky lol
Answer:
1. y = -3x +7
2. 4, 0
3. y = 5x
4. 5, -1
5. y = -9
6. 7, 0
Answer:
Step-by-step explanation:
x2 - x - 72
Factor the time
Answer:
i dont know
Step-by-step explanation:
Answer:
(x - 9)(x + 8)
I have a math problem can uou solve it?
What is the value of x?
Answer:
The value of x=27
Step-by-step explanation:
does anyone know the answers
PLEASE HELP!! URGENT!! Rubi tosses a quarter off the Main Street bridge into the St. John's River. The distance, in feet, the quarter is above the water is modeled by the equation -16t^2+96t+112d ( t ) = − 16 t 2 + 96 t + 112, where t represents time in seconds. How much time does it take for the quarter to hit the water?
Answer:
5
Step-by-step explanation:
Helpppppppp pleaseeeeeeee and can you give an explenations also?
Answer:
B
Step-by-step explanation:
A(-3 , 3) -> A'(-9 , 9)
B(3 , 3) -> B'(9 , 9)
C(3 , 0) -> C'(9 , 0)
A'B'C' is a dilation of ABC about the origin with factor of 3
ΔA'B'C' ~ ΔABC: all the corresponding angles are the same measurement
If a new soccer ball is labeled $45, what would the new price be if the sign above it says "63% off"?
Answer:
New price of the ball after discount = $16.65
Step-by-step explanation:
Selling price of the soccer ball = $45
Discount labeled on the ball = 63% off
Therefore, selling price after the discount = Original selling price - %discount
= $45 - (63% of $45)
= $45 - $28.35
= $16.65
New price of the ball after discount = $16.65
what's
[tex] \sqrt{144 \times 4} [/tex]
Answer:
24
Step-by-step explanation:
[tex]\sqrt{144*4}\\\\ \sqrt{576}\\\\ \sqrt{24^2}\\\\\boxed{24}[/tex]
Hope this helps!
Answer:
24 Ans ...
Step-by-step explanation:
Data:
=√144 x 4
Solution:
=√576
=24 Ans ...
pls help me it's due today
Answer:
r³ + 15r² - 10r - 4
Step-by-step explanation:
First, note you can remove the brackets, in this case they contribute nothing at all.
Then, group the like terms and add them, e.g., we have 3r³ and -2r², they add up to r³.
Finally, order them from greatest power of r to smallest power of r.
That's all!
What value of 0 makes cos0= sin 70° a true statement?
A) 20°
B) 40°
C)70°
D) 90°
Answer:
A) 20 degrees
Step-by-step explanation:
The sine of an angle is equal to the cosine of the angles complimentary angle.
Error Analysis On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 6 +n + 5b. Jake says that 5 is a coefficient and 6 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made? (Used, two separate answers as needed)
Answer:
Jake doesn't include 1 as constant.
Step-by-step explanation:
The given expression is 6+n+5b.
Jake says that 5 is a coefficient and 6 is a constant.
In this case, the coefficient is 5.
Constants are 6 and 1.
And variables are n and b.
Hence, Jake doesn't include 1 as constant.
which is the better buy 5 erasers for $3.00 or 7 erasers for $3.50
Answer:
5 erasers for $3.00 is a good price and a good amount of erasers to get but if you get 7 of em' for $3.50 then you will have more but it depends on how much money you have if you have the limited about of only $3.00 then you should get the 5 erasers hope this helps. Have a wonderful day!!
Step-by-step explanation:
Solve the system by substitution.
y = -6x
- 2x - y = 16
Answer:
X=4 and Y= -24
Step-by-step explanation:
Step 1: −6x for y in−2x−y=16:
−2x−y=16
−2x−−6x=16
4x=16
4x/4=16/4
x=4
----------------------------------------------------------------------
y=−6x
y=(−6)(4)
y=−24
y=-24
ms tyc does yoga. she worked out a total of 255.5 minutes last week.she exercised 7 days.how many minutes does she exercise each day?
Answer:
36.5
Step-by-step explanation:
255.5/7 = 36.5
Briooooo wat is dis answer I need HELP
Answer:
Mehmed II
Step-by-step explanation:
Answer:
the second one
Step-by-step explanation:
Solve for x. (Round to the nearest tenth)
Answer:
c = 30:2 = 15
x =
[tex] \sqrt{15 {}^{2} } + 33 {}^{2} [/tex]
(its all under square root)
so x = 36,25.. mate it could be wrong on there
If measures of two diagonals are given then we can construct a?a. rhombus b .rectangle c. kite d. parallelogram
Answer:
212121
Step-by-step explanation:
21121212
two step educations 3c - 6 = 12
Answer:
C = 6
Step-by-step explanation:
Move all terms that don't contain C to the right side and solve.
Answer:
C=6
Step-by-step explanation:
The strategy that I use is inverse operations.
Add 6 to 12, as the equation has "-6". 6+12=18
Now, to find C, we simply divide 18 by 3, as the remaining equation was "3c", which is multiplication.
18/3=6
Therefore, c=6.
To ensure that the answer is correct, plug in the 6 to see if its true.
3(6)-6
18-6=12
If 6c-d=17, then d=
Answer:d=7
Step-by-step explanation:
Easy math
A match-seller arranges his matchboxes in a
triangular pattern as shown in Fig. 18.4. He
continues until there are 11 matchboxes in
the bottom row of the triangle. How many
matchboxes are in the complete pattern?
MATCHES
Answer:
ok
Step-by-step explanation:
Find the coordinates of the circumcenter of the triangle with the vertices A (4, 12), B (14, 6), and C (-6, 2)
Answer:
Step-by-step explanation:
Determine the perpendicular bisector of AB:
Slope of AB = (12-6)/(4-14) = -0.6
Midpoint of AB: ((4+14)/2, (12+6)/2) = (9, 9)
Perpendicular bisector: y = -0.6x + 14.4
Determine the perpendicular bisector of AC:
Slope of AC = (12-2)/(4+6) = 1
Midpoint of AC: ((4-6)/2, (12+2)/2) = (-1, 7)
Perpendicular bisector: y = x + 8
Circumcenter is the intersection of the perpendicular bisectors.
x + 8 = -0.6x + 14.4
1.6x = 6.4
x = 4
y = x + 8 = 12
(4,12)
there are 2 numbers that are twice as far from 23 as they are from 38. Those two numbers are? QUICKK PLS
Answer:
53&8
Step-by-step explanation:
38-23=15
23+15+15=53
23-15=8
The measures of the exterior angles of an octagon are x°, 2x°, 4xº, 5x°, 6x°, 8xº,
9x", and 10x°. Find the measure of the smallest exterior angle.
Answer:
8°
Step-by-step explanation:
The sum of the measures of the exterior angles of a any polygon = 360.
So, x + 2x + 4x + 5x + 6x + 8x + 9x + 10x = 360
45x = 360
x = 8°
The measure of the smallest exterior angle would be equal to 8°
What is Octagon ?In geometry, a Octagon is a eight - sided polygon. For a [n] sided polygon -
Sum of interior angles = (n - 2) × 180°Each interior angle of a regular polygon = [(n − 2) × 180°/n]Sum of exterior angles = 360°According to the question, we have - A Octagon and the measures of the exterior angles of an octagon are x°, 2x°, 4x°, 5x°, 6x°, 8x°, 9x° and 10x°.
The sum of the exterior angles of the octagon will be 360°.
Therefore, we can write -
x + 2x + 4x + 5x + 6x + 8x + 9x + 10x = 360°
45x = 360°
x = 360/45
x = 8
The smallest exterior angle would be equal to [x]° = 8°
Therefore, the measure of the smallest exterior angle would be equal to 8°
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