The solution is Option B.
Number of seats for the students is given by the equation A = 231 seats
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of seats for the students be A
Now , the equation will be
The total number of buses = 3 buses
The total number of seats on each buses = 80 seats
So , the total number of seats = number of buses x number of seats on each buses
Substituting the values in the equation , we get
The total number of seats = 80 x 3
The total number of seats = 240 seats
Now , the teachers has 3 seats each on 3 buses
So , the number of seats for teachers = 3 x 3 = 9 seats
And , the remaining number of seats = total number of seats of students
The total number of seats for students A = total number of seats - number of seats for teachers
Substituting the values in the equation , we get
The total number of seats for students A = 240 - 9
The total number of seats for students A = 231 seats
Therefore , the value of A is 231 seats
Hence , the number of seats for students is 231 seats
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Original price: $__
Percent of Discount: 25%
Sale price after discount: $40
What is the original sale price?
Answer:
$53.33
Step-by-step explanation:
A whole (100%)- 25% is 0.75
x*0.75=40
/0.75 /0.75
x=53.33333
round to the 2 decimal since this is money
Therefore the original sale price was $53.33
Have a nice day and I hope this helped. :D
What are the solutions to 3x 2 4 0 `?
The solution of the expression 3x² - 4 = 0 is x = ±2/√3.
The term expression in math is defined as a sentence with a minimum of two numbers or variables and at least one math operation
Here we have the expression 3x² - 4 = 0.
Now, we have to solve this one by using the following steps:
First we have to add 4 to both sides of the equation, then we get the expression as,
=> 3x² = 4
Now, we have to Divide each term by 3 and simplify, then we get
=> x² = 4/3
Then we have to take the specified root of both sides of the equation to eliminate the exponent on the left side,
=> x = √4/3
When we simplify this one further, then we get
=> x = ±2/√3.
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The minimum value of G in G ( x ) = 3 tan x is
The function G(x) = 3 tan(x) does not have a minimum value.
What are the relative extremas of a function?The relative extremas of a function are the values of x for which the derivative of the function assumes a value of zero.
The extremas are classified as local minimum or local maximum, as follows:
Local minimum: the function changes from decreasing to increasing.Local maximum: the function changes from increasing to decreasing.The tangent function does not have a local minimum, as it is increasing over it's entire domain.
The function G(x) = 3 tan(x) is a vertical stretch by a factor of 3 of the tangent function, which changes only the range, thus the function continues without a local minimum.
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Can u please help?.........................
The coordinates of the point P on the directed line segment that partitions the segment into a ratio of 2 to 3 is the ordered pair (3, 0).
How to determine the coordinates of point P?In this scenario, we would use line ratio to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 3 to 2.
In Mathematics, line ratio can be used to determine the coordinates of the point P and this is modeled by this mathematical expression:
P(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
Substituting the given parameters into the line ratio formula, we have;
P(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
P(x, y) = [(2(9) + 3(-1))/(2 + 3)], [(2(6) + 3(-4))/(2 + 3)]
P(x, y) = [(18 - 3)/(5)], [(12 - 12)/5]
P(x, y) = [15/5], [0/5]
P(x, y) = [3, 0]
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Complete Question:
Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-1, -4), B(9, 6); to 3. The coordinates of P are?
Which side lengths does NOT form a triangle?
A
7 feet, 7 feet, 14 feet
B
11 inches, 14 inches, 17 inches
с
12 meters, 14 meters, 15 meters
D
6 kilometers, 8 kilometers, 10 kilometers
Answer:
6kilometers ,8 kilometers,10kilometers
Hurry please !! It’s timed...
12. Which set of ordered pairs below is a function?
Answer:D. 1 and 2
Step-by-step explanation:
Domain cannot repeat
Find f(-4) when f(x) = 20- x. A, -24 В. -16 C. 16 D. .24. 4
Answer:
D. 24
Step-by-step explanation:
substitute -4 for x:
f(-4)=20-(-4)
f(-4)=24
There is a bag filled with 5 blue, 4 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 the same colour?
Answer: 2/12 (1/6 simplified)
Step-by-step explanation:
5+4+3=12
2 marbles of the same color
2/12
2/2=1
12/2=6
SOMEONE PLEASE HELP ME WITH THIS QUESTION AND SHOW WORK ASAP.
Answer:
1,121.44 or 1,121.4 (nearest tenth)
Step-by-step explanation:
l = 16.8
w = 8.9
h = 16
A = 2(lw + wh + lh)
2((16.8)(8.9) + (8.9)(16) + (16.8)(16))
2(149.52 + 142.4 + 268.8)
560.72(2)
Answer:
Below
Step-by-step explanation:
SA = 2(w x l + h x l + h w)
= 2(8.9 x 16.8 + 16 x 16.8 + 16 x 8.9)
= 1,121.44 m2
With rounding = 1,121.4 m2
Hope this helps!
The length of a car would be about 12 miles or 12 feet or 12 inches or 12 yards ?
Answer:
12 feet !!
Step-by-step explanation:
its the onlt one that can fit into a car
Lin is shopping for a couch with her dad and hears him ask the salesperson "How much is your commission."
The salesperson says that her commission is 5.5 of the selling price.
Answer:
30.25
Step-by-step explanation:
Find the number that is 2/3 of the way from 3/4 to 3 5/12
Answer:
I got 2.527. And the 7 repeats I’m wasn’t sure if you wanted it in a fraction but it shouldn’t be difficult to convert if you have a calculator with that function
Step-by-step explanation:
you need to split it in half then multply then add
Answer:
130^2 or 130 meters squared
Step-by-step explanation:
I decomposed the figure, then found the area of the decomposed figures then found the sum of them.
FIGURE A:
3 x 3 = 9
= 9^2
FIGURE B:
11 x 11 = 121
= 121 meters^2
So 121 + 9 = 130
= 130 meters^2
REMEMBER!!!!
THE FORMULA FOR AREA IS LENGTH * WIDTH = AREA
I need this ASAP!
( Fractions and whole numbers)
Answer:
C. [tex]4\frac{2}{3}[/tex]
Step-by-step explanation:
One way of approaching this problem is to multiply the numbers the numerators together and then divide by the denominator to receive the quotient and the remainder.
Firstly 6 can be written as a fraction like so: [tex]\frac{6}{1}[/tex] because 6 divided by 1 is equal to 6.
To multiply two fractions together, we simply multiply the numerators and multiply the denominators:
[tex]\frac{7}{9}* \frac{6}{1} =\frac{7*6}{9*1}[/tex]
Which gives us the improper fraction of: [tex]\frac{42}{9}[/tex]
Next, we find the highest multiple of 9 which is smaller than 42. If we write out the multiples of 9 we will find that it is 36:
1x9=9, 2x9=18, 3x9=27, 4x9=36, 5x9=45
Since we know that at least 4 whole 9s go into 42 we can conclude that the coefficient of the fraction will be 4.
To find the fraction itself, we must find the remainder which we can do by subtracting 36 from 42: 42-36 = 6
The remainder is the numerator of the fraction as there are 6 ninths left over after we have divided 42 by 9.
Therefore our answer is [tex]4\frac{6}{9}[/tex]
If we divide 6 and 9 by 3 we will find that 6/9 is equivalent to 2/3 therefore our final answer is [tex]4\frac{2}{3}[/tex].
Option C is correct.
Explain how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.
Answer: x=8
Step-by-step explanation:
3(x+4) = 36
3x+12= 36
3x-12= -12
3x = 24
— —
3 3
X=8
What is Y =- 2 on a graph?
The graph of y is a straight line parallel to the x−axis through the point (0,-2)
Now, According to the question:
What is slope and example?
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
The given equation is Y = -2
y = -2 is a line in which all points have the y-value -2. The line has a slope of 0 (horizontal line) since the y-value does not change for any value of x.
The point-intercept form for the equation of a line is:
y = mx + b
We can write y = -2
As y = 0x - 2;
slope = 0, y-intercept = -2
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A and B are vertical angles. A=(x+15) B=(5x−17) the measure of b
What are the odds of drawing a jack or 10 out of 52 cards?
Answer:
The standard odds of drawing a jack, king, etc is always 1 in 13 from a shuffled 52 card deck. 4 suits,13 cards each, 1 jack for each suit
Step-by-step explanation:
What is the area of a circle if the diameter is 40 meters PLEASE HELP PLEASE IM TIMED
Answer:
Half of 40 is 20(new radius)
20^2 = 400
400 x 3.14 = 1256 meters^2
Formula of area of a circle:
πr2
pi(3.14 or 22/7 whatever they tell you to use for pi) x radius(half of your diameter or your given radius) being squared(^2 to the power of 2)
What is the solution to the system of equations 3x 2y 7 and Y 3x 11?
The solution to the system of equations is x = 4 and y = 5.
3x + 2y = 7
y = 3x - 11
Substitute 3x - 11 for y in the first equation:
3x + 2(3x - 11) = 7
Simplify:
3x + 6x - 22 = 7
Combine like terms:
9x - 22 = 7
Add 22 to both sides:
9x = 29
Divide both sides by 9:
x = 29/9
x = 4
Change x in the second equation to 4:
y = 3(4) - 11
Simplify:
y = 12 - 11
y = 1
The solution to the system of equations is x = 4 and y = 1.
The solution to the system of equations 3x + 2y = 7 and y = 3x - 11 is x = 4 and y = 1. To solve this system, we first substituted 3x - 11 for y in the first equation. We then simplified the equation and combined like terms to get 9x - 22 = 7. We then added 22 to both sides, divided both sides by 9, and got x = 29/9 which is x = 4. We then substituted 4 for x in the second equation, simplified, and got y = 1. Thus, the solution to the system of equations is x = 4 and y = 1.
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Alex and Nick collect baseball cards. Alex has three more than twice as many cards as Nick. Together they have 27 cards.
How many cards does Alex have?
3.5 multiplied by 2y
Answer:
7y
Step-by-step explanation:
The equation of line p is y= 1 4 x–8. Line q, which is parallel to line p, includes the point (6, – 3). What is the equation of line q?
Answer:
The equation of line q in slope-intercept form is
y= 1/4 x– 9/2
.
Step-by-step explanation:
Help me please and Thank you!
28 < 4v
solve for v
pls help
Answer:
v = 7
Step-by-step explanation:
Divide both sides by 4 to isolate v
28/4 = 4v/4
v = 7
Plz, help me with this question!
Answer:
O A. 8
Step-by-step explanation:
the line is 180, so subtract 140 to get 5x. 5x = 40 so divide by 5
180 - 140 = 5x
40 = 5x
/5 /5
8 = x
Answer: X=8
Step-by-step explanation:
it is a 180 degree angle total.
180=5x+140
subtract 140 from both sides
40=5x
divide by 5 on both sides
8=x
One car traveled 240 miles and drove 20 mph hour faster than a second car drove 160 miles. If the cars were traveling for the same time, how fast was the first car driving?
a. 90 mph
b. 80 mph
c. 50 mph
d. 60 mph
Answer:
d.
Step-by-step explanation:
A square has an unknown side length, 2x. Write a simplified expression for its perimeter (distance around the
outside of an object. Remember, side plus side plus...)
The simplified expression for its perimeter and area are 8x.
What is the perimeter of a square?The perimeter of a square is the sum of the lengths of all the sides of a square. Thus, by summing the lengths of a square's four sides, we can get its perimeter.
An equal number of sides make up a square. As a result, the side of a square is added four times to determine the square's perimeter.
The formula for finding the Perimeter of square = 4*a
= 4 * 2x
= 8x
Perimeter of square = 8x
Hence, the simplified expression for its perimeter is 8x
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Please help will give brainliest
Answer:
Plz give
Step-by-step explanation:
Expressions have no equal sign while Equations have the equal sign