To get on a certain toll road a driver has to take a card that lists the mile entrance point. The card also has a timestamp. When going to pay the toll at the exit, the driver is surprised to receive a speeding ticket along with the toll. Explain how this can happen.

Answer:

See Explanation

Step-by-step explanation:

Your question is poorly formatted. However, I'm able to deduce that your question involves at least 2 algebraic fractions that needs to be simplified.

So, I'll make use of the following expression:

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]

When you follow the steps I'm about to provide, you'll arrive at the right answer

Required

Determine an equivalent expression

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]

Step 1: Take L.C.M of the denominators

[tex]LCM = (n+3)(n-4)[/tex]

Step 2: Evaluate the fractions

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]

Step 3: Open the brackets at the numerator

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]

Step 4: Collect and evaluate like terms

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]

Follow the above steps, and you'll be able to solve your question.

Answer:

See attached

Step-by-step explanation:

The answers are in the picture below

Answer:

1) 11-y= -9

2)41+w= 26

3)r/6= 4

4)18×p= 54

5)v/-4= 13=>v= -54; yes

6)108= -36z=>z= 108/(-36)=>z= -3; yes

7)27=n-16=>n=27+16=>n=43;not a solution

8)84=78+t=>t= 84-78=>t= 6; not a solution

9)a/2=36------------B. What number divided by 2 equals 36?

10)2a=36------------C. 2 times what number equals 36?

11)2+a=36-----------D. 2 plus what number equals 36?

12)a-36=2-----------A. What number minus 36 equals 2?

Answer:

21

Step-by-step explanation:

First you have to solve for x in the equation 2x + 9 = 23. Cancel 9 on both sides. You cancel 9 by subtracting 9 on the left side and on the right side:

23 - 9 = 14.

Now, you have 2x = 14. To isolate the variable, divide by 2 to cancel out 2.

14 / 2 = 7.

This will give you x = 7. Now that you know what x equals, you can substitute x in 3x. This would make it 3(7), or in other words 3 x 7.

3 x 7 = 21.

This means that 3x would be equal to 21. Hope it helps!

Answer:

[tex]2x + 9 = 23 \\ x = \frac{23 - 9}{2 } \\ x = \frac{14}{2} = 7[/tex]

Answer:

63°

Step-by-step explanation:

ABCD (rhombus): AC ⊥ BD and bisect at E and same length of 4 sides

∠EBA = 90 - 27 = 63

∠EBC = ∠EAB = 63°

Answer:

[tex]b = 135 \\ a + c = 45(ie \: 180 - 135) \\ a = \frac{45}{2} \\ a = 22.5[/tex]

This question is incomplete, the complete question is;

You decide to record the hair colors of people leaving a lecture at your school. What is the probability that the next person who leaves the lecture will have blonde hair ?

Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Blonde Red Brown Black Gray

31          25       18      40     42

Answer: the probability that the next person who leaves the lecture will have blonde hair is 0.1987

Step-by-step explanation:

Given that;

HAIR COLOR      FREQUENCY

Blonde                         31

Red                              25

Brown                          18

Black                           40

Gray                            42

Total                           156

So

there were 156 people all together

and out of the 156, 31 of them were blonde.

now the probability that the next person who leaves the lecture will have blonde hair will be;

⇒ 31 / 156 = 0.1987

Therefore, the probability that the next person who leaves the lecture will have blonde hair is 0.1987

Answer:

C

Step-by-step explanation:

just did it

Answer:

less

Step-by-step explanation:

Answer: 14,219.92 The 9 in the ones place is 10 times the value of the 9 in the tenths place.

Answer:

The answer is A.

Step-by-step explanation:

The question is basically asking which number, added to 3.5, gives you -4.3.  You just have to do the operation -4.3 - 3.5 to get the answer.  You just need to do the inverse.  You should end up with -7.8.

Answer: uhhh

Step-by-step explanation:

Answer:

Please check the graph diagram attached.

From the diagram,

It is clear the parent function f(x) = x+8 has been translated down 5 units.

Step-by-step explanation:

The rule to determine the translating down 'b' units:

f(x) – b

It means if we have to translate a function f(x) 'b' units down, all we need is to subtract the 'b' units from the function output.

Given the function

f(x) = x + 8

In order to translate 5 units down, all we need is to subtract 5 units from the function.

i.e.

f(x) = x + 8 - 5

f(x) = x+3

Thus, we conclude that f(x) = x+3 is the translated function.

Please check the graph diagram attached.

From the diagram,

It is clear the parent function f(x) = x+8 has been translated down 5 units.

b = 1/4

b = 0.25

Move all terms not containing  b  to the right side of the equation.

Answer:

b=1/4

Step-by-step explanation:

Answer:

Adult Tickets: 173

Student Tickets: 43

Explanation:

2: a + s = 216; 1: 10.25a+ 8s= 2117.25

2: <<As the total number of tickets sold from both sides is equal to 216>>

1: <<Each adults ticket (a) costs $10.25 and each student ticket (s) costs $8, and the total amount of money earned (2117.25) from sales is the combination of these two))>>

a + s = 216

10.25a + 8s = 2117.25

-10.25a -10.25s = -2214

10.25a + 8s = 2117.25

-2.25s/-2.25 = -96.75/-2.25

s = 43

a + 43 = 216

- 43 -43

a = 173

Answer:

1310

Step-by-step explanation:

Answer:

  1310 .

Step-by-step explanation:

Answer:

£ 3.62

Step-by-step explanation:

Cost of 6 cakes = 6 * 23

                          = 138 p

                          = £ 1. 38

Balance money = 5 - 1.38

                          = £ 3.62

Answer:

ummmmmmm

Step-by-step explanation:

c

Answer: 5.60 in

Step-by-step explanation:

4 / 5 = x / 7 Multiply both sides by 7

28/5 = x Divide 28 and 5

5.6 = x

So the answer would be 5.60 inches.

The length of the reduced photo will be 5.60 in.

A proportion is a comparison of two numbers that each represent the parts of a whole.

Given that, An 5 in. by 7 in. photo is reduced so that the width is 4 in

Since, there is a reduction occurring then the new and original dimensions will be in equal proportion,

Therefore,

4 / 5 = x / 7

28/5 = x

5.6 = x

x = 5.6

Hence, the answer would be 5.60 inches.

For more references on proportion, click;

https://brainly.com/question/3254974

#SPJ2

Answer:

13/24

Step-by-step explanation:

3/8+1/6=9/24+4/24

Answer:

13/24

Step-by-step explanation:

3/8 + 1/6 - (3/3 x 3/8) + (4/4 x 1/6) - 9/24 + 4/24 - [tex]\frac{9+4}{24}[/tex] = 13/24

Answer:

19.99cm

Step-by-step explanation:

[tex]\pi r^{2}h = 3077.2\\[/tex]

plug in 7 for r and you get:

49pi x h = 3077.2

h = 19.99m

Answer:

135

Step-by-step explanation:

135+45=180

Answer:

The number of strawberry baskets sold was 44

Step-by-step explanation:

Let

x ----> the number of strawberry baskets sold

y ---> the number of raspberries baskets sold

we know that

In one morning, Katya sells 96 baskets for $644

so

----> equation A

---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (44.52)

see the attached figure

therefore

The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52

Answer:

not 100% confident but I think this is at least close

Step-by-step explanation:

solve for one variable

1. x-5y=2

x=2+5y

plug this in to another equations and simplify

2. (2+5y)-y=16

2+4y=16

4y=14

y=3.5

this can be plugged in to all other equations to find x

1. x-5(3.5)=2

x-17.5=2

x=19.5

2. x-(3.5)=16

x=19.5

3. 2x-(3.5)=5

2x=8.5

x=4.25

4. x-3(3.5)=4

x-10.5=4

x=14.5

Step-by-step explanation:

there is a typo

Answer:

the answer would be -10