For all real numbers b and c such that the product of c and 3 is b,which of the following expressions represents the sum of c and 3 in terms of b?

Answer:

12.57 units

Step-by-step explanation:

i put the explanation in the picture because i didnt know how to put it in here

The length of arc EG is 12.56 units.

The arc length of a circle is the distance between two points on the curve of the circle.

We have,

Arc length = (angle/360) x (2πr)

Now,

From the circle,

EF = r = 15 units

m∠EFG = angle = 48

Substituting.

Arc length

= (angle/360) x (2πr)

= 48/360 x 2π x 15

= 12.56

Thus,

The length of arc EG is 12.56 units.

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Answer:

9 fruit slushies; 6 cones

Step-by-step explanation:

Let f = number of fruit slushies.

Let c = number of cones.

c + f = 15

c + 0.75f = 12.75

0.25f = 2.25

f = 9

c + f = 15

c = 6

Answer: 9 fruit slushies; 6 cones

Answer:

72000/s

Step-by-step explanation:

In order to find the number of seats in each section, think of 72000 people as the total number of people that need a seat.

If you want to find how many people can go to each section evenly, you need to divide the number of people by the number of sections.

Now that the same number of people are going to each section, this will give you the number of seats in each.

hope this helps!

Answer:-16

Step-by-step explanation:x + 5= -11

isolate x by subtracting 5 on both sides

x=-16

Answer:

30

Step-by-step explanation:

80 + 40 = 120

120 represents the total students for all 4 classes. And since there is an even amount in each class...

120 / 4 = 30

So 30 would be your answer.

Answer:

70 ft

Step-by-step explanation:

If you draw a diagram, a right triangle is formed from this scenario. Because Carl is directly 35 ft above the ground, this represents the opposite side length in the triangle model. The distance between Carl and island would represent the hypotenuse.

The trig function that corresponds with opposite and hypotenuse legs is Sine.

The equation is sin(30°) = [tex]\frac{35}{h}[/tex]

sin(30) is 1/2. The value of h that would make this equation true is 70. Therefore he is 70 feet away from the island

Answer:

_3

_6/3+4=2

0=2*0/3+4=0

3=2*3/3+4=6

6=2*6/3+4

Jeremy walked around a football field.

Jeremy walked around a football field.Which statement explains whether the example describes area or perimeter?

Jeremy walked around the football field. Which keans that he covered only the boundaries and we know that perimeter is the sum of length of the boundary but area is the complete sum of shape including boundary...~

Answer:

Step-by-step explanation:

x² + y² - 14x - 10y = 250

(x² - 14x) + (y² - 10y) = 250

Divide the co efficient of x by 2 ⇒ 14÷2 = 7

Divide the co efficient of y by 2 ⇒ 10÷ 2 = 5

Now, add 7² and 5² to both sides of equation.  {addition property of equality}

(x²- 2*7x + 7²) + (y² - 10y + 5²) = 250 + 7² + 5²

(x - 7)² + (y - 5)² = 250 +49 + 25

(x -7)² + (y - 5)² = 324

(x -7)² + (y - 5)² = 18²

Radius = 18

I hope this helps you! God Bless and have a great day!

:)

Answer:

441

Step-by-step explanation:

63 multiplied by 7 gives us 41

The program is an illustration of loops

Loops are program statements that are used to perform repetition

The program written in Python, where comments are used to explain each line is as follows:

#This initializes sum to 0

summ = 0

#This gets input for the first number

num = int(input())

#This is repeated while num is not -1

while num!= -1:

   #This calculates the sum

   summ+=num

   #This gets input for the num

   num = int(input())

#This prints the sum

print(summ)

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It means that the two vectors are perpendicular or orthogonal

Answer

Find out the  m∠p .

To prove

As in ΔDAB is a right triangle

Apply pythagorean theorem

Hypotenuse ² = Perpendicular ² + Base²

DB² = AB² + AD²

AB = 5 units

AD = 6 units

Put in the above formula

DB² = 5² + 6²

     = 25 + 36

    = 61

          = 7.8 units (approx)

Now in  ΔDCB is a right triangle .

By using the trignometric identity .

As DC = 4 units

DB = 7.8 units  (approx)

Put all the values in the trignometric identity .

∠p = 59.15 ° (approx)

Answer:

day 1 total $60+$15=$75

day 2 total $95+$12=$107

total 2 days = $181

Step-by-step explanation:

Answer:

Total cost for two days for the n members of the club = 155 + 27 n

Step-by-step explanation:

Total number of persons = n

The first day the members paid $60 for transportation plus $15 per ticket to the planetarium.

Day 1 cost = 60 + 15 x n = 60 + 15 n

The second day they paid $95 for transportation plus $12 per ticket to the geology museum.

Day 2 cost = 95 + 12 x n = 95 + 12 n

Total cost = Day 1 cost + Day 2 cost

Total cost = 60 + 15 n + 95 + 12 n = 155 + 27 n

Total cost for two days for the n members of the club = 155 + 27 n

Answer:

20%

Step-by-step explanation:The answer is minus 2.50 so if you plug 12.50 times .2 you get your answer

The percentage reduction is 20% if the cost of a garment was determined to be $12. 50.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

The cost of a garment was determined to be $12. 50. You have been instructed to lower the cost to $10 per garment.

The difference in cost = 12.50 - 10

The difference in cost = $2.50

The percentage reduction = (2.50/12.50)100

The percentage reduce = 20%

Thus, the percentage reduction is 20% if the cost of a garment was determined to be $12. 50.

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Answer:

80

Step-by-step explanation:

3x8=24

7x8=56

24+56=80

For the 7x8, I'm not including x1/2 also because if we do it once without the x1/2, then it will take it for 2 triangles, and that's what we have here.

So hence, the area of the trapezoid is 80sq.units

Thanks!

Answered by: FieryAnswererGT

#learnwithbrainly

Solution:

Note that:

Use the formula to find the area of the trapezoid.

Answer:

9 1/2

Step-by-step explanation:

[tex]\frac{950}{100}=9\frac{50}{100} = 9 \frac{1}{2}[/tex]

Answer:

number of boys = 320

number of girls = 240

Step-by-step explanation:

Total students in school = 560

Ratio of boys to girls = 4 : 3

Add the ratios together:  4 + 3 = 7

Divide the total by this number:  560 ÷ 7 = 80

Now multiply the original ratio numbers by 80 to find the numbers of boys and girls:

⇒ number of boys = 4 x 80 = 320

⇒ number of girls = 3 x 80 = 240

Total students are 560.

[tex]\\ \rm\hookrightarrow 4x+3x=560[/tex]

[tex]\\ \rm\hookrightarrow 7x=560[/tex]

[tex]\\ \rm\hookrightarrow x=80[/tex]

The true condition about the dependent events, P(B|A) is not equal to P(B).

Dependent events in probability mean events whose occurrence of one affect the probability of occurrence of the other.

Two events are said to be dependent if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed.

Also, Two events are said to be independent if the outcome or occurrence of the first does not affect the outcome or occurrence of the second so that the probability is not changed.

For independent events: P(A and B) = P(A) x P(B).

Recall that P(B|A) = P(A and B) / P(A) = P(A) x P(B) / P(A) = P(B).

Therefore, for dependent events, P(B|A) is not equal to P(B).

To know more about dependent probability click the link given below,

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Answer:

Option E is correct

Step-by-step explanation:

E. P(B|A) ≠ P(B)

Answer:

Three solutions were found :

x = 3/2 = 1.500

x = 2

x = -1

Step-by-step explanation:

Answer:

Option B is the correct answer

Step-by-step explanation:

Hope it helps you in your learning process.

[tex]\tan 30\degree=\frac{17}{x}[/tex]

[tex]\implies\frac{1}{\sqrt 3}=\frac{17}{x}[/tex]

[tex]\implies\huge{\red{ x={17\sqrt 3}}}[/tex]

[tex]\sin 30\degree=\frac{17}{y}[/tex]

[tex]\implies\frac{1}{2}=\frac{17}{y}[/tex]

[tex]\implies\huge{\purple{ y={34}}}[/tex]

Answer:

B

Step-by-step explanation:

It would be using the law of sines.

Answer:

-11

Step-by-step explanation:

See the picture for your understanding.

Since a and b are oppoiste angles of 80° and 60° respectively

a = 80°

b = 60°

Since sum of three angles in a triangle is 180°

x + 51 + 60° + 80° = 180°

x = -11

Answer:

mas pra vc mandar

[tex]7385[/tex]

Step-by-step explanation:

we pay taxes of the income without the exemptions.

so, the tax-interresting amount is

38,900 - 4826 = $34,074

2% of the first $1000 = $20

$34,074 - 1000 = $33,074

3% of the next $3000 = $90

$33,074 - 3000 = $30,074

3.5% of the next $3000 = $105

$30,074 - 3000 = $27,074

4% of $27,074 = $1,082.96

so, in total he pays state taxes over a year

20+90+105+1082.96 = $1,297.96

now, he gets paid semimonthly, that means twice a month.

his salary but also his deductions (incl. tax deductions) are all split across these 24 paychecks per year.

so, each state income tax deduction is then

$1,297.96 / 24 = $54.08 on every paycheck.

Answer:

The answer to ur question is probably 100%

Answer:

(4k^2+7)(7k+6)

Step-by-step explanation:

1. group the first two terms (28k^3-24k^2). The greatest common factor is 4k^2. If you factor that out you get 4k^2(7k-6)

2.When you group the last two terms (49k-42). you can factor out a 7.

7(7k-6).

3. There is a (7k-6) in both sections so you can combine all the terms.

4k^2(7k-6) 7(7k-6) becomes (4k^2)(7k-6)

Answer:

[tex]x=65[/tex]

Step-by-step explanation:

In this case, we can determine the two given angles are vertical angles using the diagram. This means that they are congruent, or equal.

We can use this information to set up an equation:

[tex]145=2x+15[/tex]

Subtract 15 from both sides:

[tex]130=2x[/tex]

Divide both sides by 2

[tex]x=65[/tex]