The resultant answer after solving the given inequality by taking the subject x is x < (12 + 2y)/3.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.
The majority of the time, size comparisons between two digits on the number line are made.
So, we have the inequality:
3x - 2y < 12
Now, solve the inequality by taking x as the subject as follows:
3x - 2y < 12
3x < 12 + 2y
3x/3 < 12/3 + 2y/3
x < (12 + 2y)/3
Therefore, the resultant answer after solving the given inequality by taking the subject x is x < (12 + 2y)/3.
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Correct question:
What is the solution to the inequality 3x - 2y < 12?
A rectangle has an area of 24 cm2. Function f gives the length of the rectangle, in centimeters, when the width is w cm.
Determine if each value, in centimeters, is a possible input of the function.
3
Answer:
Input is the value of w and the function f = 24/w as length x breadth = area of rectangle
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Answer:
4.5 cubic feet
Step-by-step explanation:
Volume is calculated by length ⋅ width ⋅ height.
In this situation, we need to find the volume of the box and subtract the volume of the present from the volume of the box.
2 1/2 ⋅ 2 ⋅ 1 1/2 = 7 1/2 cubic feet
Now that we have the volume of the box, we can subtract the volume of the present from it.
7 1/2-3 = 4.5 cubic feet
67. There are 15 clarinet players, 12 flute
players, and 7 saxophone players in a
marching band. How many ways can the
band director create a trio consisting of
one clarinet player, one flute player, and
one saxophone player?
A. 34 ways
B. 187 ways
C. 1,260 ways
D. 1,500 ways
Answer:
A
Step-by-step explanation: add 15+12+7
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The band director can create a trio in 1,260 different ways.
Hence, option C is correct.
Use the concept of permutations,
The formula for permutations is,
⇒ [tex]^{n}P_{r}[/tex] = n! / (n - r)!
Where n is the total number of items and r is the number of items we are selecting.
So in this case, we have,
⇒ n = 15 clarinet players
⇒ n = 12 flute players
⇒ n = 7 saxophone players
⇒ r = 1 clarinet player,
1 flute player, and 1 saxophone player
To find the number of ways we can create a trio with one player from each instrument, we need to calculate,
⇒ ([tex]^{15}P_{1}[/tex]) x ([tex]^{12}P_{1}[/tex]) x ([tex]^{7}P_{1}[/tex])
⇒ ([tex]^{15}P_{1}[/tex]) = 15! / (15 - 1)!
= 15! / 14!
= 15
This represents the number of ways we can choose one clarinet player out of 15.
([tex]^{12}P_{1}[/tex]) ) = 12! / (12 - 1)!
= 12! / 11!
= 12
This represents the number of ways we can choose one flute player out of 12.
[tex]^{7}P_{1}[/tex] = 7! / (7 - 1)!
= 7! / 6!
= 7
This represents the number of ways we can choose one saxophone player out of 7.
So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,
⇒ 15 x 12 x 7 = 1,260
Therefore,
The band director can create a trio in 1,260 different ways.
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simplify (2x^2+3)(x+4
Answer:
23+32−5+12 is the equaequation simplified
Step-by-step explanation:
What are the solution to the equation (x+3)^2=7
Step-by-step explanation:
see attached. hope it's helps
If a car is traveling at 80 feet/second with 22 inch tires, how fast are the tires spinning in revolutions per second?
Answer:
43.6
Step-by-step explanation:
Complete the recursive formula of the arithmetic sequence -3, -1, 1, 3,...
b(1)= "answer"
b(n)=b(n-1)+ "answer"
Given:
The given arithmetic sequence is:
[tex]-3,-1,1,3,...[/tex]
To find:
The recursive formula of the given arithmetic sequence.
Solution:
We have,
[tex]-3,-1,1,3,...[/tex]
Here, the first term is -3. So, [tex]b(1)=-3[/tex].
The common difference is:
[tex]d=-1-(-3)[/tex]
[tex]d=-1+3[/tex]
[tex]d=2[/tex]
The recursive formula of an arithmetic sequence is:
[tex]b(n)=b(n-1)+d[/tex]
Where, d is the common difference.
Putting [tex]d=2[/tex], we get
[tex]b(n)=b(n-1)+2[/tex]
Therefore, the recursive formula of the given arithmetic sequence is [tex]b(n)=b(n-1)+2[/tex], where [tex]b(1)=-3[/tex].
Haha posting the pics of me again cuz why not
1/10
for me i pick 5/10
Answer:
Step-by-step explanation:
10/10 cause everyone is
Answer:
AA by isaiah rashad
Step-by-step explanation:
good song
Can someone help me please
Solve for x using the Quadratic Formula: x2 + 4x + 4 = 0 x = −2
Answer:
x=-2
Step-by-step explanation:
x^2+4x+4 = 0
(x+2)(x+2) = 0
x+2=0
x=-2
For the people that are trying to help me, is this good?
Answer:
369.03
Step-by-step explanation:
The figure is a pyramid with a rectangular base
The formula is A+1/2ps
A=130 (Area of the base)
p=46 (perimeter of the base)
s=15 (slant height)
I need help with these question! Please do step by step-
Number of bags of chocolate chip cookies = x = 0.133 bags
Number of bags of walnuts = 7.7 bags
Can you guys help me with this problem
It’s in the picture
Answer:
74
Step-by-step explanation:
Answer:
do length x with for both shapes then add together
Step-by-step explanation:
hope this helps
tombstone and bury me.. by the river they'll carry me. finally I been resting in peace.. finally, finally..
Answer:
rhymy
Step-by-step explanation:
What is 3/4 divided by 2 equal
Answer:
0.375
Step-by-step explanation:
..
scrieți divizorii întregi ai numerelor 6,9,15
Answer:
`15
Step-by-step explanation: i think
Can someone help me please ?
HELP HELP HELP ILL MARK YOU BRAINLIEST
The answer would be 128z^9.
This is because when you multiply exponents with a variable (z), you keep the base the same (8z and 16z), but you add the exponents together.
Find the area of the shaded region. Round your answer to the nearest tenth.
5 in.
Answer:
10 is the number
Step-by-step explanation:
I'll give 20pts and Brainliest!
Gavin is subdividing land into two plots, where one plot is in the shape of a square and the other plot is in the shape of a rectangle. The square plot of land has a side length of 6x³ feet, and the rectangular plot of land has a length of 3x⁵ feet and a width of 7x² feet. Use the properties of exponents to determine the expression that represents the area for each plot of land. Then analyze which plot of land has a larger area if x is 3.
The square plot of land has a larger area when x is 3.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To find the area of the square plot, we can use the formula for the area of a square: A = [tex]s^2,[/tex] where s is the length of a side of the square. In this case, the side length is 6x³ feet, so the area of the square plot is:
A = [tex](6x³)^2 = 36x^6[/tex]square feet
To find the area of the rectangular plot, we can use the formula for the area of a rectangle: A = lw, where l is the length of the rectangle and w is the width. In this case, the length is 3x⁵ feet and the width is 7x² feet, so the area of the rectangular plot is:
A = (3x⁵)(7x²) = 21x⁷ square feet
To analyse which plot of land has a larger area if x is 3, we can substitute x = 3 into the expressions for the areas of the plots:
Area of square plot[tex]= 36(3)^6[/tex] [tex]= 11664[/tex] square feet
Area of rectangular plot =[tex]21(3)^7 = 5103[/tex] square feet
Therefore, the square plot of land has a larger area when x is 3.
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help pleaaaaaaaaaaaaaaaaaaaaaase
Answer:
26.85 in
Step-by-step explanation:
5+7+7 = 19
C 2πr/2 = 7.85
19+7.85 = 26.85
Find the perimeter of the
polygon if ZB = ZD.
11.5 cm
B
D
12.5 cm
13.5 cm
Answer:
100cm
Step-by-step explanation:
From the given diagram;
Perimeter of the polygon = AB + BC+ CD + DA
Perimeter of the polygon = 11.5 + 12.5 + 12.5 + 13.5 + 13.5 + 12.5 + 12.5 + 11.5
Perimeter of the polygon = 24 + 26 + 26 + 24
Perimeter of the polygon = 50 + 50
Perimeter of the polygon = 100cm
Hence the Perimeter of the polygon is 100cm
Answer:
100 cm
Step-by-step explanation:
what is the x-intercept of the graph 4x-6y=12
1. The graph of y = x2 is translated 4 units down and 3 units to the left. It is also stretched by a factor
of 4, then reflected in the x-axis.
Answer:
ok so first ur gonna do 4x3=12 then
Step-by-step explanation:
How many solutions does the equation 4x-7(x-2)=3x+2 have?
Answer:
one solution, x=2
Step-by-step explanation:
brainliest?
You went shopping at a mall and bought a t shirt for $8.99 and a baseball hat for $12.99. What is the total cost of the items with 7.5% tax?
A. $21.98
B. $1.65
C. $38.46
D. $23.63
Can someone help me with this. Will mark brainliest.
Find the sum of 318 nanoseconds and 96 microseconds
Step-by-step explanation:
1 microsecond is equal to 1000 nanoseconds.
Knowing this, we can multiply 96*1000 to get 96,000.
Then just add the additional 318 nanoseconds.
96,000+318=96,318 nanoseconds.
10) A basketball player attempts two free
throws. Each attempt results in a score or
a miss.
A) {(S, S), (M, M)}
B) {(S, S), (S, M)}
C) {(S, S), (S, M),
(M, S), (M, M)}
D) {(S, S), (M, S)}
PLEASE HELP ME ANSWER THESE QUESTIONS. NO LINKS OR U WILL B REPORTED. ILL GIVE U THE BRAINLIEST TY!
A. Is there a more appropriate SI unit of measure to use to determine the surface area of the
playground equipment? Explain.
B. What would be a more appropriate imperial unit of measure for the surface area of this
playground equipment?
Answer:
A: Explanation: The surface area of a 3-D object is the sum of all the areas of all the 2-D surfaces of the object; so, its unit is the same as that of area. The SI unit of area is square metre (m2)
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