Share 48 in the ratio 3 : 5

We would expect about 490 students to ride the bus to school based on the sample

It is the way of choosing a number of required items from a population given.

Each item has an equal probability of being chosen.

We have,

If 7 out of every 12 students ride the bus to school, then the proportion of students who ride the bus is 7/12 or approximately 0.5833.

If we assume that this proportion holds true for the entire school, then we can estimate the number of students who ride the bus as follows:

Number of students who ride the bus = Proportion who ride the bus x Total number of students

Number of students who ride the bus = 0.5833 x 840

Number of students who ride the bus = 489.99

Since we cannot have a fractional number of students, we would round this estimate to the nearest whole number.

Thus,

We would expect about 490 students to ride the bus to school based on the sample

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Answer:

the second one ( - 3, -6)

Step-by-step explanation:

I used the method of substitution

Answer:

(-3, -6)

Step-by-step explanation:

Answer:

apple slice = 8 grams

orange slide = 4 grams

Step-by-step explanation:

48/6 will give you the weight of each apple slice

48/12 will give you the weight of each orange slice

9514 1404 393

Answer:

  a = (s +t)/(m +r)

Step-by-step explanation:

Add t, then divide by the coefficient of 'a'.

  [tex]a(m+r)-t=s \qquad\text{given}\\\\a(m+r)=s+t \qquad\text{add $t$}\\\\\boxed{a=\dfrac{s+t}{m+r}} \qquad\text{divide by $m+r$}[/tex]

Step-by-step explanation:

We can represent the terms like this:

Therefore, (6x - 6.3) / 3

= [(3)(2x) - (3)(2.1)] / 3

= 2x - 2.1.

Answer:

Terms of the equation is :---

6x/3 = 2x and 6.3/3 = 2.1

According to the given problem,

[tex] \frac{(6x - 6.3)}{3} = \frac{3(2x - 2.1)}{3} = \boxed{2x - 2.1} ✓\\ [/tex]

Answer:

The other socks cost 9$.

Step-by-step explanation:

Answer:

6s+2=4s-2

-4s -4s

2s+2=-2

-2 -2

2s=0

/2 /2

s=undefined or x=0

Answer: 3 hope this helped (:

it wold be (0,1) and (2,3)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Jhbiko

Answer:

7/5

Step-by-step explanation:

4x+3=9x-4

3=9x-4-4x

3=5x-4

3+4=5x

7=5x

7/5=x

x= 7/5

is this one of the choices I hope it helps.

Answer:

112 cm.

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]

In triangle IJK:

We can find the length of j using cosine rule:

[tex]j^2=k^2+i^2-2ik*cos(J)\\\\substituting:\\\\j^2=59^2+80^2-2(80)(59)cos(106)\\\\j^2=3481+6400-(-2602)\\\\j^2=3481+6400+2602\\\\j^2=12483\\\\j=\sqrt{12483} \\\\j=112\ cm[/tex]

Step-by-step explanation:

8 gallons        m miles

                  =

6 gallons         180 miles

               or

8-m

6-180

Answer: D

The answer is D

Answer:

Step-by-step explanation:

Let the initial side be x

New skatepark has dimensions:

Its area is:

Step-by-step explanation:

f(x) = (x + 3)(x - 5)

In a Quadratic curve, the x-coordinate of the vertex is equidistant to the x-intercepts. (If they exist)

In f(x), our x-intercept are x = -3 and x = 5.

=> (-3 + 5)/2 = 1.

Hence the x-value of the vertex is 1.

Answer:

X= 9 over 8 or 9/8

Step-by-step explanation:

hopefully this helps

Answer:

9/8 or 1.125 or 1 1/8

Step-by-step explanation:

Answer:

Here you go :)

Step-by-step explanation:

Answer:

approximately 684 employees

Step-by-step explanation:

So this is an exponential equation since there is a dividing decrease, not just subtracting. The standard equation is,

[tex]y = a(b)^{x} [/tex]. [tex]a[/tex] is initial value (860 employees) and [tex]b[/tex] is the change [tex]-8%[/tex] or [tex]0.92[/tex]. The [tex]x[/tex] would be the period of time, [tex]19[/tex]. This equation would be [tex]y = 860(0.92)^{19} [/tex].

After solving, the equation would become the following: [tex]y = 860(0.92)^{19} = 176.387242442≈176[/tex]. After subracting the number of lost employees from orginal employees ([tex]860-176=684[/tex]), we see that the company will have approximately 684 employees left after 19 years.

Based on the information given, it should be noted that the value of 1260 will therefore be £73.09.

From the information given, it was stated that £29 =500. Therefore, the equation to solve that of 1260 will go thus:

£29 =500

£1 = 500/29

£1 = 17.24

Therefore, 1260 will be:

= 1260/17.24

= £73.09

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Answer:

27

Step-by-step explanation:

9 divided by 1/3 is 27

Answer:

D

Step-by-step explanation:

CD is an angle bisector and divides the opposite side into segments which are proportional to the other 2 sides, that is

[tex]\frac{BC}{AC}[/tex] = [tex]\frac{BD}{AD}[/tex] , substitute values

[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{2.25}[/tex] ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3 → D

The answer is 3. His A.P.R. (interest rate) will rise to 30.24% until he pays back the amount he owes.

Answer:

y=(9/4)x+6

Step-by-step explanation:

If it crosses at 6 then it will be +6.  A perpendicular line has a slope that is the opposite reciprocal of your current slope.

Step-by-step explanation:

[tex]{( {x}^{ \frac{4}{3} } {x}^{ \frac{2}{3} })}^{ \frac{1}{3} } = {( {x}^{ \frac{4 + 2}{3} } ) }^{ \frac{1}{3} } = {( {x}^{2} ) }^{ \frac{1}{3} } \\ = {x}^{ \frac{2}{3} } [/tex]

Answer:

275 non spectators

Step-by-step explanation:

1. Subtract

42,500 - 31,750 - 10,475 =

275

2. Get answer

275 non-spectators