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.

Answers

Answer 1

Answer:

question is not clear

specify the table


Related Questions

Multiply: 3x⎯⎯⎯⎯√·6y⎯⎯⎯⎯√
.

Answers

Answer:

l

Step-by-step explanation:

Find the equation of the line with Slope = 3 and passing through (4, 10) .write your equation in the form y=mx+b

Answers

The slope is given so you straight away apply it to the equation,

Y=mx+b

Y=3x+b

Now replace the points x and y to find b (y-intercept)

10=3(4)+b

10-12=b

b= -2

Final answer:

Y=3x-2

Hope that answers your question and best of wishes!!

A jean manufacturer makes three types of jeans, each of which goes through three manufacturing phases: cutting, sewing, and finishing. The number of minutes each type of product requires in each of the three phases is given below:

Jean Cutting Sewing Finishing
I 8 12 4
II 12 18 8
III 18 24 12

There are 5200 minutes of cutting time, 6000 minutes of sewing time, and 2200 minutes of finishing time each day. The company can sell all the jeans it makes and makes a profit of $4 on each Jean I, $4.50 on each Jean II, and 6 on each Jean III.

Required:
a. What number of jeans in each category should be made each day to maximize profits?
b. Formulate a linear programming problem that models the problem given above. Be sure to identify all variables used.
c. Analyze the solution.

Answers

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 $.

need help pls gving brainliest

Answers

-3
-8

X+9=-10
X=-10-9
X=-19

Examine the geometric relationships in the diagram below which option shows the correct value of x and y?

Answers

Answer:all of them

Step-by-step explanation:

7 + 8/5-2
Could someone help me with this?​

Answers

Answer:

hope it's helpful for you

Exact form: 33/5 - hope it help

Here is a trapezium drawn on a centimetre grid (not drawn to scale).

Work out the area of the trapezium, stating the units of your answer.

Answers

Answer:

Step-by-step explanation:

equation

area(base1 + base2)

HELP AFAP I WILL GIVE BRAINLIST


Each person in a group of students was identified by year and asked when he or she preferred taking classes: in the morning, afternoon, or evening. The results are shown in the contingency table. Find the probability that the student preferred afternoon classes given he or she is a junior. Round to the nearest thousandth. Be sure to show and explain your work.


When Do You Prefer to Take Classes?

Freshman
Sophomore
Junior
Senior
Morning
2
9
5
10
Afternoon
8
9
8
8
Evening
9
15
16
3

Answers

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!!!

2
3
4
9
10
-1
NS
-6
-7
-8
-9
Which three statements correctly describe key features of the function graphed here?

Answers

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

State the domain of the graphed function, using interval notation. The domain is ______

Answers

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

What is the equation x^2+12x-3=16 written in the form (x-p)^2=q using the method of completing the square ?

Answers

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]

First factor out the greatest common factor from each term. Then factor the remaining polynomial.
4x2+4x-80

Can you please help?

Answers

=4(x^2+x-20) ,

I really hope that helps and sorry if the answer is wrong but i tried my best!!
4(x+5)*(x-4) is the answer

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,637 miles, with a variance of 11,282,880. What is the probability that the sample mean would differ from the population mean by less than 778 miles in a sample of 143 tires if the manager is correct

Answers

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]

Presto Corp. had total variable costs of $180,000, total fixed costs of $110,000, and total revenues of $300,000. Compute the required sales in dollars to break even.

Answers

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.

What is a total revenue?

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.

Learn more about the total revenue here:

https://brainly.com/question/29567732.

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the picture
says it
all

Answers

Answer:

B. L BAT = L CAT

Step-by-step explanation:

__________

find the GCF of 36 and 54

Answers

Answer:

Step-by-step explanation:

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

x + 3y = 10
-x + y = 6​

Answers

Answer:

X= -2. Y= 4.

Step-by-step explanation:

Which inequality models this situation? 3 The company president sets a goal that the percentage of working phones must increase from 30% to at least 80% by the end of the day. 3 8 -> 103 8. 3+% 10+ DONE () Intro​

Answers

Answer:

3+x/10+x>8/10

How many pounds of each type of fruit did she buy? she bought
pounds of limes and pounds of pears.

Answers

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.

Learn more about  total cost at:

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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

10
17 A sequence starts at 300 and 40 is subtracted each timee.
300
260
2200
1800...
The sequence continues in the same way,
What is the first number in the sequence which is less than zerol?
[11]

Answers

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, ...


Need help ASAP
What is the total distance the monkey has traveled when she completes her 10th swing?

Answers

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

one fourth of a number is 5. find the number​

Answers

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.

The probability of rolling a 1 on a 6-sided biased dice is 0.85
The biased dice is rolled twice.
Complete the probability tree diagram.​

Answers

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).

What is Probability?

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).

Learn more about Probability here:

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please help meeeeeeee
pt 4

Answers

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]

HELP!! I don’t know part C or D and I need to know if part A and B are correct

Answers

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

Pedro and his friend Cody played basketball in the backyard. Cody made 5 Baskets . Pedro made 15 baskets. How many times more baskets did pedro make than cody?

Answers

Answer: 10

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

Over what interval is the parabola below decreasing?



3<. x. <∞
−∞ <. x. <3
−1<. x. <∞
−∞ < x < −1

Answers

Answer:

B. -oo < x < 3

Step-by-step explanation:

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

-oo < x < 3

What is the value of 6 / x + 2x squared when x = 3

Answers

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

y = 2x - 3
y = -x + 3 solve for x and y

Answers

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

x = 2, y = 1(2,1) --- ordered pair

Jayden drives 22.5 miles in 30 minutes. If he drove one hour in total at the same rate, how far did he go? Before you try that problem, answer the question below. How many minutes did Jayden drive in total?

how far did he go in minutes?​

Answers

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

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