Answer:
0.44 feet
Step-by-step explanation:
The value of the length of the given pencil will be 0.43875 feet.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
Given the length of the pencil
Lenght = 13.5 cm
Also,
1cm = 0.39 inches
So,
Lenght = 13.5 × 0.39 = 5.265 inches.
Now,
Since 12 inches = 1 feet ⇒ 1 inch = 1/12 feet
So,
Length = 5.265/12 = 0.43875 feet.
Hence "The value of the length of the given pencil will be 0.43875 feet.".
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According to the Fundamental Theorem of Algebra a 5th degree function has how many zeros?
Answer:
i need more info
Step-by-step explanation:
Solve the equation -3(x - 14) + 9x = 6x + 42. Does the equation have one solution, no solution, or infinitely many solutions?
Hello!
[tex]\large\boxed{\text{Infinitely many solutions.}}[/tex]
-3(x - 14) + 9x = 6x + 42
Distribute the coefficient of the parenthesis:
-3(x) - 3(-14) + 9x = 6x + 42
-3x + 42 + 9x = 6x + 42
Combine like terms:
6x + 42 = 6x + 42
Both sides of the equation are the same, therefore:
There are infinitely many solutions.
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Equation have Infinitely many Solutions⠀⠀⠀⠀
______________________
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➤ How to solve ?⠀⠀⠀⠀
For solving such problems we need to recall equations .
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When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .
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SolutiOn :➠ - 3 ( x - 14 ) + 9x = 6x + 42
➠ -3x + 42 + 9x = 6x + 42
Now, we will bring the variable on left hand side and constants on right hand side
➠ -3x + 9x - 6x = 42 - 42
➠ -9x + 9x = 42 - 42
➠ 0 = 42 - 42
➠ 0 = 0
As we can see the equation have end with a zero the equation have indefinitely many solutions
➠ Indefinity many solutions
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If 8 is added to a number and the sum is divided by 3, the result is 12, find the number. (a) 28 (b) 38 (c) 20 (d) 10
Answer:
a(28)
Step-by-step explanation:
28+8=36
36/3=12
Answer:
a) 28
Step-by-step explanation:
28+8=36
36/3=12
If x = -5, which inequality is true?
A. -4 - 3x > 7
B. -2 - 6x 14
D. 7 - x < 6
Answer:
A
Step-by-step explanation:
Its A because -4 - 3x > 7 because -1 - 7 is -6 but u have to - 1 because of the negative signs
2 2/9 +1 4/9 please help
Answer:
3 2/3
Step-by-step explanation:
In addition, the denominator has to be the same and it doesn't change when 2 fractions are added together, unless ur trying to simplify the equation, anyways:
2 2/9 +1 4/9
3 6/9
simplify
3 2/3
What is the cube root of 27x^18?
A)3x^6
B)3x^9
C)9x^6
D)9x^9
Answer:
It’s B
Step-by-step explanation:
just answered question
A coach gives her players the option of running around feel twice or around the entire stadium once the following diagram shows the field in stadium dimensions on a corner grid which runs longer how much longer. Ill give brainliest and such this is also worth some good points
Answer:
Distance around the stadium is 75.16 monger than the field
Step-by-step explanation:
From the graph attached,
Coordinates of A → (-10, 60)
Coordinates of B → (60, -10)
Coordinates of C → (10, -60)
Coordinates of D → (-60, 10)
Perimeter of field = AB + BC + CD + DA
Since field is in the shape of a rectangle,
AB = CD and BC = DA
Therefore, perimeter of the rectangle = 2(AB + BC)
Length of AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(60+10)^2+(-10-60)^2}[/tex]
= [tex]\sqrt{2(70)^{2} }[/tex]
= [tex]70\sqrt{2}[/tex] m
Length of BC = [tex]\sqrt{(60-10)^2+(-10+60)^2}[/tex]
= [tex]50\sqrt{2}[/tex] m
Perimeter of ABCD = 2(70√2 + 50√2)
= 240√2 m
= 339.41 m
Perimeter of stadium = 2πr [Here, r = radius of the circle]
= 2π(120)
= 753.98 m
To run around the field twice, distance covered by the players = 2(339.41)
= 678.82 m
Difference in the distance covered to run around the stadium and the rectangular field = 753.98 - 678.82
= 75.16 m
Answer:
The distance around the stadium is longer than about 75
Step-by-step explanation:
Please help me 9th grade math
Answer:
this system has no solutions
Find the slope of the line that is parallel and perpendicular to the given line.
y = 1/3x + 5
m ll =
⊥ =
Answer:
|| slope= 1/3
⊥ slope=-3
Step-by-step explanation:
The line is y=1/3x+5
Parallel slopes are the same (think about parallel lines and how they will never intersect- that means that slopes of those lines will never intersect so they have to be the same)
That means that the || slope will be 1/3.
Perpendicular slopes are negative and reciprocal (if you multiply them, they will equal -1)
Which means to solve for the slope perpendicular, use this equation
1/3m=-1
multiply by 3 on both sides
m=-3
So that means the ⊥ slope will be -3.
hope this helps!
Answer:
[tex]\frac{1}{3}[/tex] and - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 5 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Parallel lines have equal slopes, thus
[tex]m_{parallel}[/tex] = [tex]\frac{1}{3}[/tex]
Give a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3
Can someone help me on this aswell lol
Answer:
y = [tex]\frac{1}{2}[/tex]x - 2
Step-by-step explanation:
y = mx + b (m is the slope and b is the y-intercept)
Equation to find slope: [tex]\frac{y1-y2}{x1-x2}[/tex] Given points: (-6, -5) (-4, -4)
[tex]\frac{-5+4}{-6+4}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
y = [tex]\frac{1}{2}[/tex]x + b
The y-intercept is -2
y = [tex]\frac{1}{2}[/tex]x - 2
Over the summer, for every 12 okra seeds Dana planted, 7 grew into plants. If he planted 144 okra seeds, how many grew into plants?
A.
69
B.
84
C.
139
D.
247
Answer:
If Dana planted 144 okra seeds, 84 of those seeds grew into plants.
Explanation:
Image below.
There are okra plants grown from 84 seeds, which is the correct answer would be option (B).
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Over the duration of the summer, 7 out of every 12 okra seeds Dana placed grew plants. He might grow 144 okra plants.
For every 12 okra seeds Dana planted, 7 grew into plants, so the ratio of seeds that grew into plants to seeds planted is 7/12.
Dana planted 144 okra seeds, so the number of seeds that grew into plants is 144 seeds × (7/12) = 84 seeds.
Therefore, 84 okra seeds grew into plants.
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Starting at the same point, Tom and Juanita go biking in opposite directions. If Tom rides at a speed of 20 mph, and Juanita rides at a speed of 20 mph, how far apart will they be in 2 hours?
Answer:
Concept: Mathematical Analysis
They go in opposite directions They start at the same point, let's define that as (0,0) on the ordinary differntiable x-y axis Hence Tom can ride 20 units left in one hour and Juanita can ride 20 units right in one hour.We want to know the distance they are at the end of 2 hours So we set up the equation y= 20(x)Let x be the hours and y be the distance So 20×2=40 miles At the end of 2 hours they will be 40 miles apart assuming constant rate of change and a starting point of (0,0)José paid $47.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?
Several friends went to the movie. The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each. The total was $83.30. Solve for x, the number of friends. $2.50x + $4.85x + $24.50 = $83.30
Answer:
x = 8
Step-by-step explanation:
Let there are x friends.
The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each.
Total cost = $83.30
We need to solve for x. The equation for the scenario is given by :
$2.50x + $4.85x + $24.50 = $83.30
Taking like terms together
$2.50x + $4.85x = $83.30-$24.50
7.35 x = 58.8
x = 8
So, there are 8 friends.
City Bank offers a 4.75% simple
interest rate, while First National
offers 3.9%. If Tom wants to set
up a new account with $500. how
much more money will he earn in
Interest at City Bank over First
National after 12 years?
Answer:
He will earn $51 more
Step-by-step explanation:
Let us compare the amounts he will earn in both banks
Mathematically, simple interest is;
I = PRT/100
Where P represents principal, R represents rate and T represents time
For Citibank, we have
I = (500 * 4.75 * 12)/100 = $285
For National bank
I = (500 * 3.9 * 12)/100 = 234
The difference between the amount of money earned in both banks will be;
285-234 = 51
Simplify the expression.
3y - 4.6 + 1.3 + 2.1y
Answer:
5.1y-3.3
Explination: none
Answer:
5.1y-3.3
Step-by-step explanation:
I am sorry if its wrong
10 per tee shirt and no shipping cost
Answer:
5,10,15,20,25
Step-by-step explanation:
I believe this is correct because, If you find number 1 on the x axis and find 5 on the y axis, they meet up so therefore 1 shirt cost 5 dollars and so on.
how many vertices ate there in a square
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
there are 4 vertices in a square
Enter the values for the variables that give the
correct simplified expressions, x => 0.
V
50x2 = V25-2-x2 = 5x]
b =
32x = V16-2 - x = cv 2x
C
18n
9.2.n=ev
e2n
e =
72x2 - V36-2- x2 = gx_3
g=
9514 1404 393
Answer:
b = 2
c = 4
e = 3
g = 6
Step-by-step explanation:
b) The number remaining under the radical is what's left after the perfect squares 25 and x² are removed. That is b = 2.
__
c) The number outside the radical is the root of the perfect square constant inside the radical: √16 = c = 4.
__
e) As with c, √9 = e = 3.
__
g) As with c, √36 = g = 6.
can someone help me ‼️
Answer:
A) 6
Step-by-step explanation:
The angle 12x is the same angle as the one below 108 degrees. They are supplementary angles so they add up to 180 degrees. 180-108 = 72, 12x = 72 divide each side by 12, x = 6 :)
There are 4 consecutive integers with a sum of 298. What is the value of the least integer?
X is no more than 13
Answer:
x ≤ 13
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
On a coordinate plane, a curved line, labeled f of x, with a minimum value of (negative 1.9, negative 5.7) and a maximum value of (0, 2) crosses the x-axis at (negative 2.5, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function f(x)?
F(x) 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
F(x) 0 over the intervals ( –2.5, –0.75) and (0.75, ∞).
Answer:
the answer is d just took the test
Step-by-step explanation:
Answer:
i think its D
Step-by-step explanation:
The graph of function f is shown. Function g is represented by this equation. g(x) = 2(2)x Which statement correctly compares the two functions? A. They have different y-intercepts and different end behavior. B. They have the same y-intercept but different end behavior. C. They have different y-intercepts but the same end behavior. D. They have the same y-intercept and the same end behavior.'
The graph of the function f and graph of the function g(x) have the different y-intercept but have the same end behavior option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function f and a function g(x) is:
[tex]\rm g(x) = (2)2^x[/tex]
If draw a graph of g(x) on the coordinate plane, it will be a exponential function.
For y intercept of g(x):
x = 0,
y = 2
But graph of a function f and graph of a function g(x) has same end behavior.
Thus, the graph of the function f and graph of the function g(x) have the different y-intercept but have the same end behavior option (C) is correct.
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The students at Victor's school voted for a new school color. 198 students voted for purple. If
there are 225 students in Victor's school, what percentage of the students voted for purple?
Answer:
88%.
Step-by-step explanation:
To calculate percentage: (198 × 100) ÷ 225
This equals 19800 ÷ 225, which is 88%.
Answer:
88%
Step-by-step explanation:
198/225
=0•88
0•88×100
=88%
Find all values of x such that 6=35/x -49/x^2
Help please due in an 1 hour!!
Answer:
275
Step-by-step explanation:
1375-550/5-2
Answer:
275 per minute
Step-by-step explanation:
550/2=275
1375/5=275
2200/8=275
3025/11=275
therefore it is 275 ft. per minute
David earns a 4% commission for all the furniture he sells. If David sales were 187500 what was the dollar amount of his commission?
Answer:195000
Step-by-step explanation: We add 4% to 187500 Since He gets 4% for his sales
Solve for k.
Give an exact answer.
1/4k = 3(-1/4k+3)
Answer:
k=9
HOPE THIS IS CORRECT!
Answer:
k =9
Step-by-step explanation:
I'm just built different
Margo can purchase tile at a store for $0.69 per tile and rent a tile saw for $36. At another store she can borrow the tile saw for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the cost to be the same at both stores?
Answer:
30 tiles need to buy for same cost in both store.Step-by-step explanation:
Let x be the number of tiles to buy for same cost in both store.
18+0.69 · n = 1.29 · n,
1.29n -0.69n =18 or
0.6n =18
n =18/0.6=30
Therefore, 30 tiles need to buy for same cost in both store.[Ans]
Answer:
I think you need to cross multiply