A bus travels at a constant speed. The following table shows the distance the bus travels (in kilometers) over a period of
time (in hours):
distance (d) 42 252 378
time (9 0.5 3
4.5
a. Use complete sentences to describe the relationship represented in the table.
b. Write an equation using variables that represents the relationship shown in the table.
c. Use your equation to find how far the bus travels in 6 hours.

Answer:

Step-by-step explanation:

If the odds of rolling a 1 is .85 the odds of rolling not a one is

1-.85= .15

The Complete probability tree diagram is

First roll have (0.85, 0.15).

Second Roll have (0.85, 0.85, 0.15, 0.15).

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

The probability of rolling a 1 on a 6-sided biased dice is 0.85.

Now, the probability not rolling 1

= 1- 0.85

= 0.15

So, First roll have (0.85, 0.15).

and, the Second Roll have (0.85, 0.85, 0.15, 0.15).

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Answer:

Ok where only looking for junior so heres the stats for that

Morning:5

Afternoon:8

Evening:16

so if we add that up

5+8+16=29

and 8 like after noon so

8/29 as a percent 27.5862%

Hope This Helps!!!

Answer:

Step-by-step explanation:

equation

area(base1 + base2)

Answer:

X= -2. Y= 4.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The equation will become 6/3+2(3)

-->6/3=2

-->Because of Order of Operation we will multiply the 2 and 3 before adding so 2(3) = 6

--> 6+2=8

Answer:

x=6

Step-by-step explanation:

when its squared you multiply by 2

9514 1404 393

Answer:

  -20

Step-by-step explanation:

300/40 = 7.5, so the 8th term will be the last positive term. It will be 300 -7×40 = 20. The 9th term will be 20 -40 = -20.

__

The sequence starts ...

  300, 260, 220, 180, 140, 100, 60, 20, -20, ...

Answer:

$230,000

Step-by-step explanation:

Contribution margin = Sales - Variable costs

=($250,000 - $137,500)

= $112,500

Contribution margin ratio = Contribution margin ÷ Sales

= ($112,500 ÷ $250,000)

= 0.45

Basically

Break-even sales = Fixed expenses ÷ Contribution margin ratio

=($103,500 ÷ 0.45)

= $230,000

The required sales in dollars to break even is $275,000.

Given that, total variable costs of $180,000, total fixed costs of $110,000, and total revenues of $300,000.

Total revenue is the total amount of money a company brings in from selling its goods and services. It determines how well a company is bringing in money from its core operations based on demand and price.

The contribution margin ratio = Contribution margin/Sales revenue

= (300,000 - 180,000 = 120,000)/300,000

= 40%

Break-even point in dollars = Fixed cost/Contribution margin ratio

= 110,000/0.40

= $275,000

Therefore, the required sales in dollars to break even is $275,000.

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Answer:

[-10,-2) U (-2,2) U [2, 5) U (5, infinity)

Step-by-step explanation:

p/s: I don't have the infinity symbol on my keyboard but you know what it is. Hope this help

Answer:

3+x/10+x>8/10

Answer:all of them

Step-by-step explanation:

Answer:

45 miles in 1 hour

Step-by-step explanation:

1 hour is 60 minutes

22.5 miles / 30 minutes  * 2/2 = 45 miles / 60 minutes = 45 miles in 1 hour

Answer:

He drove 22.5 miles in 60 min. He drove 45 miles in 1 hour

Step-by-step explanation:

22.5 miles in 30 min

1 hour= 60 min

30+30=60

22.5+22.5=45 miles

Step-by-step explanation:

[tex] {x}^{2} + 12x - 3 = 16[/tex]

[tex] {x}^{2} + 12x = 19[/tex]

[tex] {x}^{2} + 12x + 36 = 19 + 36[/tex]

[tex](x + 6) {}^{2} = 55[/tex]

Answer:

The answer is

[tex]2 {x}^{2} + 3x - 1 = 0[/tex]

Why? Below I explain

Step-by-step explanation:

That formula has three variables a, b and c.

So, a = 2, b = 3 and c = -1

Because the formula is written like

[tex] \frac{ - b + - \sqrt{ {b}^{2} - 4 \times a \times c} }{2 \times a} [/tex]

Answer:

B. L BAT = L CAT

Step-by-step explanation:

__________

Answer:

Step-by-step explanation:

The greatest common factor of 36 and 54 is 18. 18×2=36 and 18×3=54.

Answer: 10

Step-by-step explanation: 15 - 5 = 10

Answer:

89.263 m      I couldn't remember the easist way of doing this type of summation problem.  I used brute force. a spread sheet would have been quicker

Step-by-step explanation:  6  17   22   16

Event   Formula         Calculation      Running Summation

1       20                              20                  20

2      20(4/5)                       16                   36

3      20(4/5)(4/5)               12.8                48.8

4      20(4/5)(4/5)(4/5)       10.24             59.04

5      20(4/5)^4                 8.192              67.232

6      20(4/5)^5                 6.554             73.786

7      20(4/5)^6                 5.453             79.028

8      20(4/5)^7                 4.194              82.223

9      20(4/5)^8                3.355              86.578

10      20(4/5)^9               2.684             89.263

add the results  from each swing

I got 89.263 meters

Pat bought 5 pounds of apples.

(1) 1 pound of pears cost $0.5 more that 1 pound of apples.

If 1 pound of pears cost $1 and 1 pound of apples cost $0.5, then the cost of 5 pounds of apples is 5*0.5=$2.5. For $2.5 we can buy 2.5/1=2.5 pounds of pears.

If 1 pound of pears cost $1.5 and 1 pound of apples cost $1, then the cost of 5 pounds of apples is 5*1=$5. For $5 we can buy 5/1.5=10/3 pounds of pears.

(2) 1 pound of pears cost 1.5 times as much as 1 pound of apples.

The cost of 5 pounds of apples is $5a (where a is the cost of 1 pound of apples). For $5a we can buy 5a/(1.5a)=5/1.5 pounds of pears. Sufficient.

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Given question is incomplete , the complete question is given below ,

Pat bought 5 pounds of apples. How many pounds of pears could he have bought for same amount of money?

(1) 1 pound of pears cost $0.5 more that 1 pound of apples

(2) 1 pound of pears cost 1.5 times as much as 1 pound of apples

Answer:

B. -oo < x < 3

Step-by-step explanation:

since the vertex (3, -1), so, x should be less than 3

-oo < x < 3

did u add the attachment of the the statements? cuz i dont see it.

Answer:

[tex]P(x < -778) = 0[/tex]

Step-by-step explanation:

Given

[tex]\bar x = 48673[/tex]

[tex]\sigma^2 = 11282880[/tex]

[tex]n = 143[/tex]

Required

[tex]P(x <- 778)[/tex]

First, we calculate the z score

[tex]z = \frac{x}{\sqrt{\sigma^2}/n}[/tex]

So, we have:

[tex]z = \frac{-778}{\sqrt{11282880}/143}[/tex]

[tex]z = \frac{-778}{3359.0/143}[/tex]

[tex]z = \frac{-778}{23.49}[/tex]

[tex]z = -33.12[/tex]

So:

[tex]P(x < -778) = P(z < -33.12)[/tex]

From z score probability, we have:

[tex]P(x < -778) = 0[/tex]

Answer:

l

Step-by-step explanation:

Answer:

Step-by-step explanation:

A and B are correct!

For part C, just multiply the dimensions given to you by four.

For part D, the answer would be 4 x 4 x 4 which is 264

Answer:

z ( max)  =  2000 $

x₁  =  500       x₂ = 0     x₃  = 0

Step-by-step explanation:

                         cutting       sewing    finishing  Profit $

Jean1   (x₁ )           8                 12              4             4

Jean2  (x₂ )          12                18              8              4.5

Jean3  (x₃ )          18                24            12              6

Time available  5200          6000        2200

b) Formulation of a linear programming problem:

Objective Function  z

z  =  4*x₁   +  4.5*x₂  + 6*x₃        to maximize

Constrains:

Constrain 1

Available cutting time  5200 minutes

8*x₁  +  12*x₂  +  18*x₃   ≤  5200

Constrain 2:

Available sewing  time  6000 minutes

12*x₁  +   18*x₂   +  24*x₃    ≤  6000

Constrain 3:

Available finishing time  2200 minutes

4*x₁   +   8*x₂   +  12*x₃    ≤ 2200

General constraints:

x₁    ≥ 0            x₂   ≥ 0             x₃  ≥  0     all integers

After 6 iterations the optimal solution is:

z ( max)  =  2000 $

x₁  =  500       x₂ = 0     x₃  = 0

We can see in the model that times required to make jean 2  and jean 3

are much bigger than jean 1 and but the price of jean 2 is only 0.5 $ above the price of jean 1 and jean 3 is only 2 $.

Answer:

hope it's helpful for you

Hope this helps. Please mark brainliest

Answer: 20

let the number be x

1/4 x = 5

x=5*4

x=20

Answer:

x=20

Step-by-step explanation:

[tex]\frac{1}{4}x=5\\x=20[/tex]

divide [tex]\frac{1}{4}[/tex] on both sides, which gives you 20.

We are given the system of equations:

[tex] \large{ \begin{cases} y = 2x - 3 \\ y = - x + 3 \end{cases}}[/tex]

Since both are y-isolated equation, we can combine them together.

[tex] \large{2x - 3 = - x + 3}[/tex]

Isolate and solve for x-term.

[tex] \large{2x - 3 + 3 + x = - x + 3 + x + 3} \\ \large{2x + x = 6 \longrightarrow 3x = 6} \\ \large{ \frac{3x}{3} = \frac{6}{3} \longrightarrow \boxed{ \red{x = 2}}}[/tex]

Next, we find the value of y. Simply substitute x = 2 in one of these equations. The less coefficient values, the faster and better. I will substitute x = 2 in y = -x+3. You can substitute x = 2 in y = 2x-3 if you want but the result would be the same.

[tex] \large{y = - x + 3}[/tex]

Substitute x = 2 in the equation.

[tex] \large{y = - 2 + 3} \\ \large \boxed{ \blue{y = 1}}[/tex]

Therefore - when x = 2, y = 1. We can write in coordinate point or ordered pair as (2,1) from (x,y).

Answer