Given segment AC and point B that lies on AC, if AB = 9 and BC= 49, find AC

Answer:

14/25

Step-by-step explanation:

0.56=56/100=28/50=14/25

Answer:

s=(73-31)

31+s=73

s= 42

Step-by-step explanation:

In order to get an exact count of the Lincoln Elementary students you just have to subtract 31 from 73 to get 42 students. Therefore we get s to represent the Lincoln students, so the equation would be 31+s=73.

Answer:

21900 hours

Step-by-step explanation:

To change years to hours, you need to multiply it by 8760. So 2.5*8760= 21900

Answer: 21,914.55 hours

I hope my answer helps you! :)

Answer:

40° or 100°.

Step-by-step explanation:

If Angle ABD = 70° and Angle CBD = 30° Angle ABC can be 70° + 30° or 70° - 30°.

angle ABC measures 100 degrees.

To find the measure of angle ABC, we can use the fact that the sum of the angles in a triangle is 180 degrees.

In triangle ABC , we have angle ABD measuring 70 degrees and angle CBD measuring 30 degrees.

Since angle ABD and angle CBD are adjacent angles, they add up to form angle ABC.

Therefore, we can calculate angle ABC as follows:

m ∠ ABC = m ∠ ABD + m ∠ CBD

m ∠ ABC = 70° + 30°

m ∠ ABC = 100 degrees

Thus, angle ABC measures 100 degrees.

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Answer:

Step-by-step explanation:

1. Equation: x + 50 = 180 degrees

Solution: x = 180 - 50

               x  = 130 degrees

2. Equation: x + 45 = 90 degrees

Solution: x = 90 - 45

               x = 45 degrees

Answer:

the answer is choose not chose

Step-by-step explanation:

Answer:

(C) 1/2

Step-by-step explanation:

If 4s is 2 more than 4t, then:

(C) is the answer

Answer:

C

Step-by-step explanation:

We are given

t + 3t + 2 = s + 3s, that is

4t + 2 = 4s ( subtract 4t from both sides )

2 = 4s - 4t ← factor out 4 from each term

2 = 4(s - t) ← divide both sides by 4 , thus

s - t = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] → C

Step-by-step explanation:

f(x) = 2x + 5 = 45

2x + 5 = 45

2x = 45 - 5

2x = 40

x = 20

Answer:

f(x) = 2x + 5 = 45

2x + 5 = 45

5-25=2x

40=2x

x = 20

Answer:

3/10  or 30%

Step-by-step explanation:

The longest, yet easiest way to do this is to find all possible numbers that fit this scenario

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Even Numbers: 2, 4, 6, 8, 10

Greater Than 5: 5, 6, 7, 8, 9, 10

Now find common numbers in both categories

6,8, and 10

meaning the probability is 3/10 or 30%

Answer:

530, 470.

Step-by-step explanation:

The maximum amount is 500 + 30 = 530.

The minimum amount is 500 - 30 = 470.

14.025, 40/3, square root 170, 14%

Calculator, the end

Answer: Answers

Step-by-step explanation:

The first option

Answer: -32

You are taking away from "withdrawal"

Answer:

x/4  

x divided by 4

Answer:

-3x + 8

Step-by-step explanation:

The railroad track moves in a straight path from station A to station B and then from station B to station C.

Let the distance from station A to station C be AC and the distance from station B to station C as BC while the distance from station A to station B be AB the following equation holds:

AC = AB + BC

Given the distance from station A to station C is 3x + 4 and from station B to C is 6x-4, Hence:

AC = 3x + 4 and BC = 6x - 4.

Using the line segment addition postulate:

AC = AB + BC

3x + 4 = AB + (6x - 4)

AB = 3x + 4 - (6x - 4)

AB = 3x + 4 - 6x + 4

AB = 3x - 6x + 4 + 4

AB = -3x + 8

the Venn diagram below, which statement must be true? If a number is an irrational number, it must also be a rational number. All integers are also whole numbers. All integers are also rational numbers. All natural numbers are irrational numbers.-by-step explanation:

Answer:

B) 10 visits

Step-by-step explanation:

Let the number of visits be x.

Pool A cost: 1x + 40 = x + 40

Pool B cost: 5x

Set the two costs equal and solve for x.

x + 40 = 5x

Subtract 5x from both sides. Subtract 40 from both sides.

-4x = -40

Divide both sides by -4.

x = 10

Answer: B) 10 visits

Answer:

17

Step-by-step explanation:

divide 20 from both sides to get x=17

answer : x= 17

20x17=340

Answer:

3 bags

Step-by-step explanation:

9*(1/3 bag) = 3 bags

Answer:

r=b(w)-2x

Step-by-step explanation:

were solving for r so that is our end variable

sense we dont know how many boxes there are we just put b in the equation by itself, multiplying it with w since that represent the total number of waffles

b(w)

Ex: they buy 2 boxes and each box contains 24 waffles

b=2 and w=waffles

it then says each week they eat x amount of waffles, meaning its the same number for every week allowing us to multiply it with the number of weeks.

2x

Ex: say the family eats 10 waffles per week week, meaning x=10, well the we just multiply the 10 by the number of weeks

Answer: r = b(w) - 2x

The number of remaining waffles r, after 2 weeks is r=bw-2x.

Given that, a family buys b boxes of frozen waffles each containing w waffles.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The number of remaining waffles r, after 2 weeks.

Number waffles = Number of boxes × Number of waffles in each box

= b × w

= bw

Now, number of waffles left after 2 weeks = 2x

So, equation is r=bw-2x

Therefore, the number of remaining waffles r, after 2 weeks is r=bw-2x.

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Answer:

Total time for which they ride = [tex]\bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

Step-by-step explanation:

Average speed = 8 mi/hr

Let the Distance to Mill Park = [tex]D[/tex] mi

Let the time taken = [tex]t[/tex] hours

Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]\Rightarrow D = 8t[/tex] ..... (1)

Now, when average speed = 7 mi/hr

Time taken is 1 hour more, i.e. Time = [tex]t+1[/tex] hours

Distance traveled is 4 mi more, i.e. [tex]D+4[/tex] mi

Using the Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]D+4=7\times (t+1)[/tex]

From equation (1):

[tex]8t+4=7t+7\\\Rightarrow t=3\ hours[/tex]

From equation (1):

[tex]D = 8 \times 3 = 24\ mi[/tex]

Total time for which they ride = [tex]t+t+1 = \bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

Let x = 0.376376376...

Then 1000x = 376.376376376...

So we have

1000x - x = 376.376376376... - 0.376376376...

999x = 376

x = 376/999

Answer: 12x^3 + 19x^2 -27x -40

Step-by-step explanation:

Finding f(x) times g(x) is multiply the two polynomials

(4x+5)(3x^2 + 1x -8)    Apply the distributive property twice to solve

4x ( 3x^2 + 1x -8)  

12x^3 + 4x^2 - 32x  

5(3x^2 + 1x -8)  

15x^2 + 5x - 40  

12x^3 + 4x^2 - 32x + 15x^2 + 5x -40   now combine like terms

12x^3 + 19x^2 -27x -40

The function g(f(x)) will be written as g(f(x)) = 12x² + 4x - 27.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 3x² + x - 8 and g(x) = 4x + 5

The function g(f(x)) is written as,

g(f(x)) = 4(3x² + x - 8) + 5

Simplify the function, then we have

g(f(x)) = 4(3x² + x - 8) + 5

g(f(x)) = 12x² + 4x - 32 + 5

g(f(x)) = 12x² + 4x - 27

The capability g(f(x)) will be composed as g(f(x)) = 12x² + 4x - 27.

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Answer:

the answer is 40

Answer:

77.42

Step-by-step explanation:

48/62=77.42

Answer:

10 .......................

=5(10+2)/2(10)-14

=60/6

=10

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Answer:

C

Step-by-step explanation:

c

Answer:

Step-by-step explanation:

x^2 = 64

√x² = √64

x = 8, -8

answer is B