Answer:
The total cost of making the tank equals $2,082.48
Step-by-step explanation:
Giving the following information:
The tank requires 208 sq ft of material at $9.29 per square foot.
It also requires 4.5 hours of labor at $26.40 per hour plus 1.6 hours of labor at $19.60 per hour.
To calculate the total cost, we need to multiply the unitary variable cost by the total amounts:
Direct material= 9.29*208= $1,932.32
Direct labor= 4.5*26.4 + 1.6*19.6= $150.16
The total cost of making the tank equals $2,082.48
Please help me 9th grade math
Answer:
this system has no solutions
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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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.
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?
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
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.
To learn more about the Ratio click here:
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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%
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
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.
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
Find all values of x such that 6=35/x -49/x^2
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
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
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
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!
According to the Fundamental Theorem of Algebra a 5th degree function has how many zeros?
Answer:
i need more info
Step-by-step explanation:
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.
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)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
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 :)
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
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
There are 4 consecutive integers with a sum of 298. What is the value of the least integer?
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
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
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.
Learn more about the function here:
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NEED HELP ASAP!!!!!!!
Answer:
x = 45
Step-by-step explanation:
Find the missing angle first, a line is 180 degrees and for the missing angle there's a line cutting it. The outer angle is 170 so the inner angle is 10.
A triangle equals 180 degrees so:
125 + 10 + x = 180
135 + x = 180
subtract 135 from both sides
x = 45
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
please help i don’t know this
Answer:
it is the third option
Step-by-step explanation:
you would subtract the 6.4 to the other side of the equation and then you would divide it by -1.1 and you would get 7
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: