The distance Train A travels is represented by d = 69t, where d is the distance in kilometers and t is the time in hours. The distance Train B travels at various times is shown in the table. What is the unit rate of each train? Which train is going faster?

Answer:

x = -5/3

Step-by-step explanation:

6x-(2x-1) =9x+2(2-x)

6x - 2x - 1 = 9x + 4 - 2x

4x - 1 = 7x + 4

collect like terms

4x - 7x = 4 + 1

-3x = 5

x = -5/3

Answer:

x= -1

Step-by-step explanation:

Trust

Answer:

2.5

Step-by-step explanation:

Answer:

2 1/2cm  is the answer for w

Step-by-step explanation:

the reason for this is because the total area for the triangle is 17 cm

and from whats shown on the rectangle it has only 12 so far so that means the w equals 2 1/2 because 12 + 2 1/2 + 2 1/2 = 17 so therefor the answer is 2 1/2cm

hope this helps :)

- by chance may I get brainliest

Answer:

60

Step-by-step explanation:

4*15=60=12*5

9514 1404 393

Answer:

Step-by-step explanation:

Surface area

The length of the hypotenuse of the front facing triangle is given by the Pythagorean theorem:

  d^2 = 13^2 +6^2 = 169 +36 = 205

  d = √205

So, the perimeter of that triangle is ...

  P = 13 +6 +√205 = 19 +√205

The total area of the rectangular faces of this triangular prism is then ...

  rectangular face area = (base perimeter)·(prism height)

  = (19 +√205)(7) = 133 +7√205

The area of the two triangular faces will be ...

  triangular face total area = 2·(triangle area) = 2(1/2)(6)(13) = 78

Then the total surface area is ...

  total surface area = rectangular face area + triangular face total area

  total surface area = (133 +7√205) +78

  surface area = 211 +7√205 ≈ 311.22 . . . . square units

__

Volume

The volume is the product of the area of the triangular base and the height of the prism.

  V = Bh

  V = (39)(7)

  volume = 273 . . . . cubic units

Answer:

16+(4*x)=32

Step-by-step explanation:

x is equal to the number of days he did sit ups. You can solve this by solving for x.

Answer:

No he will pass his 50$ budget

Step-by-step explanation: 68 divided by 5 is 13.6

13.6 multiplied by 4 is 54.4

Jacob runs total 12 miles run

Answer:

The answer is the first option .

Jacob ran a total of 12 7/10 miles which is equivalent to 12.7 miles

Answer:

a. The probability that the aircraft is fully occupied = 0.3642

b. The probability that between 1 and 5 (including 1 and  5) passengers do not show up is  = 0.6354

Step-by-step explanation:

From the given information:

We are to compute the probability that:

a. The aircraft is fully occupied( i.e. all the passengers show up)

b. Between 1 and 5 (including 1 and  5) passengers do not show up

Given that:

Percentage of passengers that do not show up  = 2% = 0.02

And the population of the passengers = 50; since 50 tickets are being sold for a specific flight.

Let assume X be the random variable that follows a binomial distribution, thus, the number of passengers from the aircraft with 50 passengers can be represented as:

[tex]X \sim Bin (n = 50, p =0.02)[/tex]

Thus;

The probability that the aircraft is fully occupied i.e. all the passengers show up is:

[tex]= (1 - 0.02)^{50}[/tex]

= 0.98⁵⁰

= 0.3642

Hence, The probability that the aircraft is fully occupied = 0.3642

b.  The probability that between 1 and 5 (including 1 and  5) passengers do not show up is:

= P(X = 1) + P(X =2) + P(X = 3) + P(X = 4) + P(X = 5)

= [tex]=(^{50}_1) 0.02(1-0.02)^{50-1} +(^{50}_2) 0.02(1-0.02)^{50-2} + (^{50}_3) 0.02(1-0.02)^{50-3} + ... + (^{50}_5) 0.02(1-0.02)^{50-5}[/tex]

[tex]=(^{50}_1) 0.02(0.98)^{49} +(^{50}_2) 0.02(0.98)^{48} + (^{50}_3) 0.02(0.98)^{47} + ... + (^{50}_5) 0.02(0.98)^{45}[/tex]

= 0.6354

Hence, The probability that between 1 and 5 (including 1 and  5) passengers do not show up is  = 0.6354

Answer:

60

Step-by-step explanation:

The answer is B, D , and E

Step-by-step explanation:

You have to look for the same pattern on both rows, wether they come out even or odd.

Answer:

-5(t² - 8t - 4)

Step-by-step explanation:

Step 1: Define

-5t² + 40t + 20

Step 2: Simplify

Here, we cannot factor the quadratic and to solve for the roots we will need to use the Quadratic Formula.

Answer:

$8.25 is the answer.

Step-by-step explanation:

Answer:

8.25

Good luck!

Answer:  -14r + 60

 your welcome.

Answer:

answer:  C,  24 photos per day

Step-by-step explanation:

Answer:

it's either the first one or the third one.

I'm so sorry if they are both wrong.

Answer:

y<5/3

Step-by-step explanation:

3y+5<10

subtract 5 on both sides

3y<5

divide both sides with 3

y<5/3

Answer:

Step-by-step explanation:

You take the plus 5 and subtract it from 10

So then you have 3y<5

So then you divide both sides by 3

So you get y<5/3

Answer:

adding 12.5

Step-by-step explanation:

12.5 --> 25 through +12.5

25 --> 37.5 through +12.5

37.5+12.5 = 50 = 50

Answer:

You are adding 12.5 every time.

Step-by-step explanation:

12.5+12.5=25

25+12.5= 37.5

37.5+12.5=50

Hope this helps!

Answer:

y=3x+1

Step-by-step explanation:

Answer:

2,400

Step-by-step explanation:

24 times 8 equals 192, 192 times 12.50 equals 2,400. If this does not help, sorry.

The amount raised is $2400.

Option C is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

There were 24 tables with 8 chairs at each table.

Total chairs.

= 24 x 8

= 192 chairs

Each dinner ticket cost $12.50.

And all the dinner tables were full.

So,

Total amount raised.

= 96 x 12.50

=  2400

Therefore,

The amount raised is $2400.

Learn more about expressions here:

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Answer:

the answer is 3

Step-by-step explanation:

20% of 30% of 10% of 500 is 3

Step-by-step explanation:

Answer:

7. 33%

6. 75%

8. 67%

Step-by-step explanation:

5. 80-15=65

65/85=0.8125 => 81%

6. 100-25= 75

75/100= 0.75=> 75%

7. 60-40=20

20/60=0.333333=>33%

8. 39-13=26

26/39=0.666666667=67%

can you please explain the question a bit

Answer:

80

Step-by-step explanation:

35 + 15x

x=3

15. 3 =45

45+35=80

Answer:

[tex]\lim_{x \to 12} \frac{\frac{1}{x}-\frac{1}{12} }{x-12} =\frac{-1}{144}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\lim_{x \to 12} \frac{\frac{1}{x}-\frac{1}{12} }{x-12}[/tex]

Step 2: Solve

Answer:

B A C

Step-by-step explanation:

this website is the only reason im graduating LOL. love yall

The exponential functions are plotted on the graph and solved

1) y = 3ˣ = b)

2) y = 3⁻ˣ = a)

3) y = -3ˣ = c)

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

a)

y = 3ˣ

Now , the exponential function is plotted on the graph and is represented by the line b

b)

y = 3⁻ˣ

Now , the exponential function is plotted on the graph and is represented by the line a

c)

y = -3ˣ

Now , the exponential function is plotted on the graph and is represented by the line c

Hence , the exponential equations are solved

To learn more about exponents click :

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The complete question is attached below :

Use what you know about reflections of functions to match the graph to the function rule.

1) y = 3ˣ

2) y = 3⁻ˣ

3) y = -3ˣ

Answer:

1st box: -1/2

2nd box: 2/1 or just 2

Step-by-step explanation:

1st box: parallel slopes have the EXACT same slope as the original

2nd box: perpendicular slopes are the negative reciprocal of the original

Answer:

24354

Step-by-step explanation: