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OverLord2011 [107]
3 years ago
9

Of the 24 students in gregs class, 3/8 ride the bus to school. how many students ride the bus?

Mathematics
2 answers:
Luda [366]3 years ago
5 0
9 students ride the bus
photoshop1234 [79]3 years ago
3 0

Answer:

9 students ride the bus.

Step-by-step explanation:

Given: The total number of students in gregs class is 24 and \frac{3}{8} ride the bus to school.

To find how many students ride the bus;

Let x be the number of student ride the bus.

Proportional is simply a statement that the two ratios are equal.  

It can be written in two ways i.e,   \frac{a}{b} = \frac{c}{d} or

a : b :: c :d

Then, as per the given conditions;

x : 24 = 3 : 8 or

\frac{x}{24} = \frac{3}{8}

Multiply both sides by 24 we get;

\frac{x}{24} \times 24 =\frac{3}{8} \times 24

Simplify:

x = 9

Therefore, the student ride the bus is, 9




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1st integer: x
2nd integer: x+2 

Multiply them: x(x+2)=440
X^2+2x-440=0 
Use the quadratic formula 
x=-22 or x=20 
Since x must be a positive integer number, x=20.

Answer: 
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4 0
3 years ago
Which of the following is parallel to the line 2x+4y=16
k0ka [10]

Answer:

Option C: y=-1/2x + 8

Step-by-step explanation:

So we have the options:

A) y=2x+5

B) y=-1/2x+4

C)y=-1/2x+8

D)y=-2x+5

But first let's define what parallel even is. When two lines are parallel it means that there slope is the same value and the same sign, while there y-intercepts are different, because if they were the same, then they wouldn't be parallel, they would just be the same exact line.

So we're given the equation in standard form. To find the slope we can change it so it's in the form of y=mx+b. This can be done by simply isolating y. The reason we want it in the slope-intercept form is because m represents the slope and b represents the y-intercept. m is the slope because as x increases by 1 the y-value will increase by m. So the "rise" will be m and the "run" will be 1, thus the slope will be m/1 or in other words m because the slope is defined as rise/run. So let's start the steps to isolating y

Original equation

2x+4y=16

Subtract 2x from both sides

4y=-2x+16

Divide both sides by 4

y = -1/2x + 4

Here we have it in slope-intercept form. In this case the slope, or m, is -1/2 and the y-intercept or b is 4. So now let's look at the other equations.

Option A: This equation has a slope of 2, which is not the same as -1/2 so it is not parallel

Option B: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. But look at the y-intercept it's 4, that's the same y-intercept as the original equation. This means the two equations are equal and not parallel

Option C: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. It has a y-intercept of 8 which is not the same as 4, so the two lines are parallel and not equal! This is the answer

6 0
2 years ago
Mr. Reeves buys granola bars to sell at the concession stand. He predicts that the concession stand will sell 25 granola bars at
Bezzdna [24]

Answer:

He should buy 4 boxes

Step-by-step explanation:

25 divided by 8 is 3.125, but you want to have enough so the least amount you can buy is 4.

4 0
3 years ago
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Determine whether the function f(x)= 1/x^2 is even, odd or neither.
gulaghasi [49]

The function f(x)= 1/x^2 is even. Hope that helps!

4 0
3 years ago
Joshua uses the escalator in the shopping mall to get to the ground floor from the underground garage located at (12,-5). Which
alina1380 [7]

Answer:

(4,5)

Step-by-step explanation:

Initial location of Joshua in the shopping mall is expressed according to the coordinate (12, -5)

If he undergoes a translation of 8 steps to the left and 10 steps upwards, this means that he moves 8 steps towards the negative x axis and 10 steps towards the positive y axis. The new coordinate will be gotten by adding the translation (-8, 10) to the initial coordinate as shown

New position = (12, -5) + (-8,10)

New position = (12-8, -5+10)

New position = (4, 5)

Hence the coordinates that corresponds to the location of the ground floor when undergoing a translation of 8 steps to the left and 10 steps upwards will be (4,5)

7 0
3 years ago
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