Keith bought a tree for his backyard. The graph shows the height of the tree after a certain number of years.

A. At what rate is the tree growing?
B. Write an equation for the graph.
C. Is the graph proportional?​

Answer:

[tex]\frac{1}{2}[/tex]

Find the least common factors of both numbers.

[tex]1/3~has~4\\2/12~has~1[/tex]

Multiply the numerator and denominator.

[tex]\frac{1 * 4}{3 * 4} = \frac{4}{12} \\\\\frac{2 * 1}{12 * 1} = \frac{2}{12}[/tex]

Add both numbers together. That does not mean you have to add the denominators. When the denominators are the same, keep them the same.

[tex]\frac{4}{12} +\frac{2}{12} = \frac{6}{12}[/tex]

Simplify.

[tex]\frac{6}{12} -- > \frac{1}{2}[/tex] because they are both halves.

Part I: Determining the common denominator of the terms

Given expression:

[tex]\dfrac{1}{3} + \dfrac{2}{12}[/tex]

To simplify the expression, we need to determine the common denominator of both fractions (1/3 and 2/12). To determine the common denominator of both fractions, we need to determine the LCM of the denominators (12 and 3). Simply write the multiples of (12 and 3) and determine the least common multiple (LCM).

Since the LCM is 12, our common denominator is 12.

Part II: Multiplying both denominators by a number which is equivalent to 12

Now, multiply both denominators by a number such that the denominators are equivalent to 12. Keep in mind that the number you multiply the denominator should also be multiplied to the numerator.

[tex]\implies \dfrac{x}{3x} + \dfrac{2y}{12y} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \huge\text{[}3x = 12; 12y = 12\huge\text{]}[/tex]

[tex]\implies \dfrac{4}{3(4)} + \dfrac{2(1)}{12(1)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \huge\text{[}x = \dfrac{12}{3} = 4; y = \dfrac{12}{12} = 1 \huge\text{]}[/tex]

[tex]\implies \dfrac{4}{12} + \dfrac{2}{12}[/tex]

Part III: Adding the fractions

Since the denominators are the same, we can now add the fractions;

[tex]\implies \dfrac{6}{12}[/tex]

Part IV: Simplifying the fraction obtained from the above

Since 6 is divisible by 12, we can further simplify the fraction.

[tex]\implies \dfrac{6 \times 1}{6 \times 2}[/tex]

[tex]\implies \boxed{\dfrac{1}{2}}[/tex]

Answer:

Take the base of the parallelogram to be 40 cm. 1,200 sine (36) = 40 * h. Divide both sides by 40. So, the height of the parallelogram is 17.63 cm.

Step-by-step explanation:

Answer: a) (3,0.5) b)(28/13, 47/13)

1)7x+4y=23

8x-10y=19

70x+40y=230

32x-40y=76

102x=306

x=306/102=3

7(3)+4y=23

21+4y=23

4y=2

y=1/2

2)Step-by-step explanation:

11x-6y=2

-8x+5y=3

Multiply the first equation by 5 and the second by 6.

55x-30y=10

-42x+30y=18

Now add both of the new equations

13x=28

x=28/13

Now plug it into the first equation to find y

11(28/13)-6y=2

308/13-6y=2

y=47/13

Answer: hii

Graph the line using the slope and y-intercept, or two points.

Slope: −3/4

y-intercept: (0,−5)

x   {}   y

0  {}  −5

4  {}  −8

Step-by-step explanation:

Hopefully this helps you

- Matthew

Answer:

[tex]x \sqrt[12]{ {x}^{5} } [/tex]

Step-by-step explanation:

[tex] \sqrt[3]{ {x}^{2} } \sqrt[4]{ {x}^{3} } [/tex]

[tex] {x}^{ \frac{2}{3} } {x}^{ \frac{3}{4} } = {x}^{ \frac{8}{12} } {x}^{ \frac{9}{12} } = {x}^{ \frac{17}{12} } = {x}^{ \frac{5}{12} } x = x \sqrt[12]{ {x}^{5} } [/tex]

Answer:

i think its 9 m if im wrong im sry  T_T

Step-by-step explanation:

Answer: #1

Step-by-step explanation: if you look closely at the purple line you will see it falls into (y <3) and yeah

Answer:

C: 1/2.

Step-by-step explanation:

the answer is 1/2 because I just took it and got it right.

Answer:

my guess is 1?

Step-by-step explanation:

I just guess

If his home is valued at $253,000, roughly the amount that  cesar paying for homeowners insurance is: $0.38 per $100 of value.

Using this formula

Homeowners insurance=Insurance premium/Total value×$100

Let plug in the formula

Homeowners insurance= $972.80/$253,000×$100

Homeowners insurance=$0.38

Therefore  the amount that  cesar paying for homeowners insurance is: $0.38 per $100 of value.

Learn more about Homeowners insurance here:https://brainly.com/question/26078866

#SPJ4

Answer:

Its C

Step-by-step explanation:

Answer:

3cm, is correct.

use the surface area formula

Answer:

this is the answer for your question

Answer:

5/7    11/17 = 0.65

5/10

Step-by-step explanation:

Answer:

a=-7

Step-by-step explanation:

2a=-2+4(a+3)

2a=2+4a+12

2a=4a+14

-2a/-2a=14/-2a

a=-7

Answer:

600 minutes           ( 10 hours)

Step-by-step explanation:

   rate c = 1 job/30 min

   rate r = 1 job/40 mi  

     1 job / ( 1/30 + 1/40) =    1 / ( 7/120) = 17.14 minutes   per ruckload

17.14 * 35 trucks = 600 minutes

Answer:

44

Step-by-step explanation:

base(b) = 11, height(h) = 8, Area of parallelogram = ? We know that, Area of parallelogram = 1/2 × b× h = 1/2 × 11 × 8 = 11 × 4 = 44 square units

The answer is 88


11x8 = 88 base times height !!!!

Answer:

Your answer is [tex]\frac{19}{33}[/tex]

Step-by-step explanation:

That is kind of hard. I have used the internet to help create that repeating decimal to a fraction and got that as your answer.

Answer:

19/33

Step-by-step explanation:

There are two repeating decimals so divide 57 (repeating part)... by 100x minus x

57/100x -x

57/100x - x = 0

100x - x = 57

99x=57

x=57/99

Simplify:

x = 19/33

Mark brainliest

Answer:

267/100

Step-by-step explanation:

Hope this helps! :)

Answer:

A

Step-by-step explanation:

Answer:

How many brothers and sisters do people in our class have?

Students might suggest that we can ask how many siblings, or they might suggest we ask how many brothers, how many sisters and how many altogether.

The idea of asking about brothers and sisters separately allows for a deeper exploration of the data and a more in depth answer to our investigative question.

Step-by-step explanation:

Answer:

change 0.3 to fraction which is 3/10 then substract from 1

then it will be 1-3/10 =7/10 also 0.7

Answer:

32

Step-by-step explanation:

he needs to put 2 pounds on the other side as well

16 ounces is a pound

16×2=32

32

16 ounces are equivalent to a pound. So 16x2= 32 which is your answer.

Answer:

centre = ( -6 , 4 ) and radius = 6

Step-by-step explanation:

(x-a)² + (y-b)² = r²

where (a , b ) represents the centre and r the radius.

compare the standard form to (x+6)² + (y−4)² = 36

=> a = -6, b=4 and r = [tex]\sqrt{36}[/tex] = 6

=> centre = (-6, 4) and radius = 6

The probability that Ben does the math homework is 0.33 and the probability that he does the English homework is 0.25.

A probability tree is a term that refers to a tool used in calculus to graphically represent the possible outcomes of a situation.

To calculate the probability that Ben will do his tasks, we perform the fraction that describes each of them as shown below:

Learn more about probability in: https://brainly.com/question/11234923