A tree in Austin's backyard is 5.22 meters tall. If the tree grows 0.6 meters each month, for how many months has the tree been growing?

The expression which is equivalent to the difference of the given algebraic fraction is,

[tex]\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}[/tex]

Difference is the mathematical operation in which the one number is subtract from another number.

To find the difference of two fraction numbers, we find the least common factor of denominator and write the all numbers as one fraction.

The given expression in the problem is,

[tex]\dfrac{2x+5}{x^2-3x}-\dfrac{3x+5}{x^3-9x}-\dfrac{x+1}{x^2-9}[/tex]

Factorize the denominator of each term as,

[tex]\dfrac{2x+5}{x(x-3)}-\dfrac{3x+5}{x(x-3)(x+3)}-\dfrac{x+1}{(x-3)(x+3)}[/tex]

Here, the least common factor of the denominators is x(x-3)(x+3), therefore, the expression can be written as,

[tex]\dfrac{(x+3)(2x+5)-(3x+5)-(x)(x+1)}{x(x-3)(x+3)}\\\dfr\dfrac{2x^2+5x+6x+15-3x-5-x^2-x}{x(x-3)(x+3)}\\\dfr\dfrac{x^2+7x+10}{x(x-3)(x+3)}\\\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}[/tex]

Hence, the expression which is equivalent to the difference of the given algebraic fraction is,

[tex]\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}[/tex]

Learn more about the difference of two fractions here;

https://brainly.com/question/13222

Answer:

If four friends can eat four cakes in four days, then four friends will eat an average of one cake per day, so each friend will be able to eat 1/4 of a cake per day.

So 10 friends will eat 10/4 of cake per day, or two and a half cakes per day, so they will eat 2,5 * 10 = 25 (twenty-five) cakes per 10 days, assuming they will eat at the same rate

Step-by-step explanation:

Branily?

6(3) = 18 cm²

Step-by-step explanation:

area of parallelogram : base * height

Here:

area of parallelogram:

6 * 3

18 cm²

Answer:

no

Step-by-step explanation:

because there are two angles

My Answer ↓

No. You cannot have a triangle with two right angles due to the concept that a triangle can only have 3 sides. Therefore, a triangle can only have 1 right angle.

Answer:

if they tell you to find for example (x,y) it simply means that the straight line ------- is X while the |||||| is y so an example would be -5,-3 X come first so...

Step-by-step explanation:

the answer is (-5,-3)

Answer:

whats your question im confused

Step-by-step explanation:

Answer: X = 9

Step-by-step explanation:

We know that a triangle has 3 angles that add up to 180 degrees.

9x+ 11 + 7x - 9 + 5x - 11 = 180

21x - 9 = 180

21x = 189

x = 9

Answer:

a. False

b. True

c. True

d. False

Step-by-step explanation:

a. Is false because it says the equivalent ratios of centimeters and feet. When it is comparing centimeters and inches

b. Is true because the unit rate in this double number line is 2.54 centimeters per inch

c. Is true because it shows on the double number line that 6 inches is equal to 15.54 centimeters

d. Is false, although the fact that 0.039 inches are in a centimeter is true, it does not show that rate in the double number line

I hope this helps :)

Answer:

a. True

b. True

c. True

d. False

Step-by-step explanation:

a. 30.48 centimeters is equal to one foot (12 inches)

b. The unit rate means how many centimeters per inch

c. 6 inches on the number line is equal to 15.24 centimeters

d. If you divide 1 by 2.54 the answer is 0.39 not 0.039

Answer:

The total surface area would be 52 square feet

Step-by-step explanation:

2 ( 3*2+ 2*4+3*4)

Answer:

Step-by-step explanation:

Answer: 24.7

Step-by-step explanation:

"First, you have 35 total pens in the box. 15 are green. to find how many red pens you need to find the difference between 35 and 15 to get how many red pens there are. (35-15= 20) Therefore, there are 20 red pens. The ratio needs to be green pens to red pens. So, there is 15 green and 20 red ( 15/20 or 15:20) Simplify that by 5 and you get 3/4 or 3:4. "

Answer:

46,44.6,40,50

Step-by-step explanation:

230/5=46

223/5=44.6

200/5=40

250/5=50

Answer:

149.5 minutes

Step-by-step explanation:

first you'll wanna take 23 divided by 2 which will be 11.5

next you multiply 11.5 by 13

Answer:

The answer you pick is right YOU SMART

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

4+2 is green and pink jelly beans. 6. 3 is red. 3/6 is the probability, which is 1/2

Answer:

Step-by-step explanation:

Total Number of Jelly Beans =  3 + 4 + 2 = 9

There are two ways to do this. You could just add the pink and green jellybeans  and put that over the total to get the probability of not red.

Sometimes it is better to find the probability of getting red and subtracting it from 1.

P(red) = 3/9 = 1/3

P(not red) = 1 - 1/3

P(not red) = 2/3

She can grow 4 plants because 10/2.5 is equal to 4. So, the answer is 4 plants. Hope this helped.

Hey there!

Let's solve your equation step-by-step.

[tex]\fbox{2y−(8)(9)=(((−3)(9))(5))(y)+476}[/tex]

Step 1: Simplify both sides of the equation.

[tex]\fbox{2y−(8)(9)=(((−3)(9))(5))(y)+476}[/tex]

[tex]\fbox{2y+−72=−135y+476}[/tex]

[tex]\fbox{2y−72=−135y+476}[/tex]

Step 2: Add 135y to both sides.

[tex]\fbox{2y−72+135y=−135y+476+135y}[/tex]

[tex]\fbox{137y−72=476}[/tex]

Step 3: Add 72 to both sides.

[tex]\fbox{137y−72+72=476+72}[/tex]

[tex]\fbox{137y=548}[/tex]

Step 4: Divide both sides by 137.

[tex]\fbox{137y/137 = 548/137}[/tex]

[tex]\fbox{y=4}[/tex]

Answer:

[tex]\fbox{y=\fbox{4}}[/tex]

Answer:

12

Step-by-step explanation:

1 cup = 8 ounces.

In total, there are 3 cups of food.

So, we do 3 × 8 which would equal 24.

24 ÷ 2 = 12.

12 is half of all the food Laurie gave to the stray cats

Therefore, 12 is the correct answer.

-kiniwih426

Answer:

( 5, 3/2 )

x = 5

y = 3/2

Step-by-step explanation:

5x - 4y = 19

x + 2y = 8

-------------------

2(x + 2y = 8) = 2x + 4y = 16

----------------------

5x - 4y = 19

2x + 4y = 16

7x = 35

÷7    ÷7

x = 5

-----------------------

x + 2y = 8

5 + 2y = 8

-5          -5

2y = 3

÷2   ÷2

y = ( 3/2 )

I hope this helps!

Answer:

( 5, 3/2 )

Step-by-step explanation:

The equation is: 3x^3 = 4x + 8

The form is ax^2 + bx + c = 0

Rewrite the given equation to equal 0:

Subtract 3x^2 from both sides to get:-3x^2 + 4x + 8  = 0

Now give each letter their value:

a = -3, b = 4, c = 8

From the statement of Hess law, the  ΔH3 is calculated when others are known from; ΔH3 = ΔH4 -( ΔH1 + ΔH2).

Hess law of constant heat summation states that the total heat evolved or absorbed for a series of reactions is the sum of all the heat absorbed or evolved at all steps in the reaction sequence.

Let the heat for the overall reaction be ΔH4 while ΔH1,  ΔH2  and ΔH3 designate the heat of reaction for reactions 1,2,3. It then follows that, the  ΔH3  is calculated when others are known from; ΔH3 = ΔH4 -( ΔH1 + ΔH2).

Learn more about heat of reaction: https://brainly.com/question/517776

Answer:

last one

Step-by-step explanation:

i did 7x4 for the apples, then added 2x3 for the pears and got 34 in total.

Answer:

C=2

X=6

W=18

It is done by using power law and negative index law .

HOPE IT HELPS YOU :)

Answer:

c = 2

w = 18

x = 9

Step-by-step explanation:

When you have a power raised to a power, you multiply the exponents. If there are more than one term that are multiplied together, that exponent needs to go to both of the terms.

Also, if you have a negative exponent, you can change the sign of it by pushing that term across the fraction bar. see image.

Answer:

The answer is 40.04

Step-by-step explanation:

5.2 x 7.7 = 40.04

Answer: 85 degrees

Step-by-step explanation: ∠URW are 80 and 15

Step-by-step explanation:

Just consider the inequalities an equal sign and do the usual way of solving:

8x - 6 > 12 + 2x

8x - 2x > 12 +6

6x > 18

x > 3

*The only rule that you need to remember is that when you multiply or divide a negative number on both sides, then the inequality sign would be reverse.*

Example:

-x + 3 > -2

-x > -2-3

-x > -5

Multiplying both sides by -1:

x < 5

Answer:

D.)  5

Step-by-step explanation:

Solving One-Variable Inequalities on edge