Vehicles passing over a bridge have two options for paying their bridge toll: paying with a live cashier or using a Speed Pass device affixed to the dashboard. Data on a busy day for cars and trucks passing over the bridge are shown here.

Hey in this type of questions there's no formula, you need to use your logic.

#Note that the full degree or a triangle is 180°

#The L in triangle is 90°

I see that you want to try to do it by yourself, i will give you the tips. to get the <BAD

#since <DAC is 90°, The ADB is 90° (180°-90°)

<BAD = 180° - 90° - 25° = 65°

Now, try to find <BCA yourself.

Tell me if you give up, i will tell you lol.

Answer:

y=-8x-4

Step-by-step explanation:

Answer:

2 dollars for kids

5 dollars for adults

Step-by-step explanation:

We will let x= children

y= adult

we know that

33x+42y=276

46x+40y=292

There are a lot of ways you can solve this but I think it's easiest if we use (what I think is called elimination)

we will start by mulitiplying the second equation by 1.05 to get

48.3x+42y= 306.6

We will subtract the first equation from the second to get

15.3x= 30.6

Solve for x and get 2

Now that we know what x equals we can plug that into any equation and solve for y

we have

33(2)+42y=276

y=5

Answer: where is the line segment

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

We need to rewrite this in slope-intercept for which is

y=mx+b

So switch 4x and -5

y=4x-5

m is slope and b is y-intercept we need to find the slope so we look what is beside x which is 4 so the slope is 4

Hope this helps!

Answer:

5√2

Step-by-step explanation:

With reference angle 45°

perpendicular (p) = 5

hypotenuse (h) = x

sin 45 ° = p / h

1/√2 = 5 / x

x = 5√2

Answer:

y = 5

Step-by-step explanation:

12^2 + y = 13^ 2

144 + y = 169

169 - 144 = 25

sqrt of 25 = 5

y = 5

Answer:

A, y=5

Step-by-step explanation:

I just did it right now

Answer:

Step-by-step explanation:

Parallel lines divide the transversals proportionally.

Correct choice is A only, the other options concern the parallel lines themselves:

Answer: 32 degrees

Step-by-step explanation:

small angle : x

middle angle: x + 20

large angle: 3x

Form an equation: 5x + 20 = 180

5x = 180 - 20

5x = 160

x = 160/5

x = 32

Answer:

Step-by-step explanation:

5 * 2^2*5 + 2^4

5^2*2^2+2^4

answer is B

Answer:

[tex]Opposite =- \frac{4}{5}[/tex]

Step-by-step explanation:

Given

[tex]Number = \frac{4}{5}[/tex]

Required

Determine its opposite

To get the opposite of a number, we simply subtract it from 0.

So, we have:

[tex]Opposite =0 - \frac{4}{5}[/tex]

[tex]Opposite =- \frac{4}{5}[/tex]

Hence, the opposite is -4/5

Answer:

112

Step-by-step explanation:

The general form of all percentage questions is: the chunk= (some percentage) (of the whole), or c=p*w

We know that 18% of students are 8th grade and that is 126 students, so p = 0.18 and c=126 (126 students are 18% of the whole school)

126 = (0.18)w, divide both sides by 0.18

126/(0.18) = w = 700

9th graders are 16% of the school or 16% of 700 students

c = (0.16) 700 = 112 students

Answer:

the answer is 6 1/4%. I hope it helps!

Answer:

(x-6)(x-6) or (x-6)^2

Step-by-step explanation:

Answer:

31.5 feet

Step-by-step explanation:

2.25 feet every second

Answer:..

Step-by-step explanation:

Answer:

Step-by-step explanation:

okay, 26.4*2.7 = 26*3 (when estimated)

26*3=78(or just somewhere around 70)

Answer:

1-A-15

2-C

Step-by-step explanation:

7-21 is an increase by 3 times, so 5*3=15

The second is kinda blurry, so it's a little hard to explain.

Answer:

12.3

Step-by-step explanation:

3/5 *4/3

1/5*4/1=4/5

=.8

hope it helps

Answer:

0.76

Step-by-step explanation:

3+(55-111)/25

=3+(-56)/25

=3+ (-2.24)

=0.76

Answer:

3+(55-111)/25= 0.76

Step-by-step explanation:

Using PEMDAS, you solve 55-111 which is -56

Then you divide -56 by 25 because it is the fourth step, you get -2.24

Add three to -2.24 to get 0.76

If you round UP to the nearest tenth, it will be 0.80

If you round DOWN to the nearest tenth, it will be 0.70

Answer:

0.04m

Step-by-step explanation:

0.12/3=0.04

Answer:

Step-by-step explanation:

Total length of a wire = 0.12 m

If the wire is divided into 3 equal pieces then

Length of each piece

= 0.12 / 3

= 0.04 m

hope it helps :)

Answer:

that shall answer 15 < 4x on a number line

Step-by-step explanation:

view image for more clarity

Answer:

a) 0.5 = 50% probability that an NPN transistor will be selected.

b) 0.3333 = 33.33% probability that it came from the cabinet that contains both types

c) 66.67% probability that it comes from the cabinet that contains only NPN transistors

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a) What is the probability that an NPN transistor will be selected?

1/3 probability that the first cabinet is chosen. This cabinet has two transistors, both of which are NPN, so 100% probability of selecting a NPN transistor.

1/3 probability that the second cabinet is chosen. This cabinet has two transistors, both of which are PNP, so 0% probability of selecting a NPN transistor.

1/3 probability that the second cabinet is chosen. This cabinet has two transistors, one of which is NPN, so 50% probability of selecting a NPN transistor.

So

[tex]p = \frac{1}{3}*1 + \frac{1}{3}*0 + \frac{1}{3}*0.5 = \frac{1}{3} + \frac{1}{6} = \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = 0.5[/tex]

0.5 = 50% probability that an NPN transistor will be selected.

b) Given that the hobbyist selects an NPN transistor, what is the probability that it came from the cabinet that contains both types?

Here we use the conditional probability formula.

Event A: NPN transistor

Event B: From the third cabinet.

50% probability that an NPN transistor will be selected, so [tex]P(A) = 0.5[/tex].

1/6 probability that it is from the third cabinet and NPN, so [tex]P(A \cap B) = \frac{1}{6}[/tex]

The desired probability is:

[tex]P(B|A) = \frac{\frac{1}{6}}{0.5} = 0.3333[/tex]

0.3333 = 33.33% probability that it came from the cabinet that contains both types.

c) Given that an NPN transistor is selected what is the probability that it comes from the cabinet that contains only NPN transistors?

Either it comes from the cabinet with only NPN transistors, or it comes from the cabinet with both types of transistors. The sum of the probabilities of these outcomes is 100%. So

x + 33.33 = 100

x = 66.67

66.67% probability that it comes from the cabinet that contains only NPN transistors

a. 20%

b. 15.3

c. 1900

d. 7.29

e. 180

f. 175

a. 17 out of 85 how many percentage?

b. what is 17% of 90?

c. 1026 out of ? = 54%

d. 8.1% of 90 = ?

e. ?% of 50 = 90

f. 88% of ? = 154

#Moderators please don't be mean, dont delete my answers just for approval from your senior or just to get the biggest moderation daily rank. This answer is long, how can you just instanly delete it? :(