Carmella simplified the following rational expression. (2x ^ 2 + 7x + 3)/(4x + 12) = ((2x + 1)(x + 3))/(4(x + 3)) = ((2x + 1)(x + 3))/(4(x + 3)) = (2x + 1)/4 After simplifying the expression , she stated that there are no restrictions on x since the denominator of her answer is a constant and cannot possibly equal Did Carmella make any mistakes in her problem ? If explain and correct her mistake ( s ) .

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Step-by-step explanation:

The correct answer is 78

Answer:

172.8 is the area of the parallelogram

Answer: 105 square feet

Step-by-step explanation:

area is length x width 35 x 3 is 105

Answer: 2/4 simplified: 1/2

Step-by-step explanation:

Answer:

2/4

I hope this helps :D

Answer:

x = [tex]\frac{ 7\sqrt{3} }{3}[/tex]

Step-by-step explanation:

7 = [tex]x\sqrt{3}[/tex]

x = [tex]\frac{7}{\sqrt{3}}[/tex]

multiply numerator and denominator by [tex]\sqrt{3}[/tex]

x = [tex]\frac{ 7\sqrt{3} }{3}[/tex]

Answer:

6 bowls of ramen eaten by you & your friend

Step-by-step explanation:

The question appears pretty choppy for me. I'll answer what I think you're asking and update in the comments if needed.

Imagine that you and a friend go to a local ramen shop for dinner at this restaurant, each regular bowl of ramen is $7.25. Drinks are $1.50 each. How many regular bowls of ramen did you and your friend eat if you ordered 2 drinks each and your total was $49.50?

a. Write an equation to represent the situation using x to represent the # of bowls you and your friend ate.

4($1.50) + $7.25x = $49.50

6 + 7.25x = 49.50

subtract 6 from both sides

7.25x = 43.50

divide both sides by 7.25

x = 6

Checking the math:

4(1.5) + 6(7.25) = 6 + 43.50 = 49.50

4 drinks, 6 bowls of ramen for $49.50

Answer:

x=16

Step-by-step explanation:

Answer:

540°

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

We are given a 5-sided polygon (irregular pentagon)

n = 5

Step 2: Find Sum

Answer: 540

Step-by-step explanation:

[tex]{(n - 2) * 180}[/tex]

This is the formula for the sum of interior angles with side lengths n. Counting the sides we have 5 sides.

(5 - 2) * 180 = 540

Answer: Answer on the bottom below

Step-by-step explanation: And p.s this is worth 18 points because it needed to divide the points in two.- Have a brilliant day mate ^_^

Answer:

Look below

Step-by-step explanation:

Because we know Jordan already has $60, and he makes $6 per week, allwe have to do is multiply 6 times the number of weeks he is saving, which is also 6. That comes out to 36, so he saves $36 in 6 weeks, but we are tyring to find the total amount, so we add 36 and 60 to get 96.

Therefore, Jordan saves $96 after 6 weeks.

The next part of the questions asks for an expression. In the expression, w represents the amount of weeks. So, since he already had the $60, the expression would be:

60 + 6w

Hope this helps :)

Answer:

B

Step-by-step explanation:

3 x X = 3x 3 x 2 = 6 so 4x + 3x = 7x +6

Answer:

1) We can rewrite the equation as 15=(x-5)^2

2) The solutions to the equation are x=5±15

​

Answer:

3r + 2b is the simplest form, are you missing anything?

Answer:

w = -z(-w) + 3(-w)

Step-by-step explanation:

z = w + 3 | Given

-w + z = 3 | Subtract w from both sides.

-w = -z + 3 | Subtract z from both sides

w = -z(-w) + 3(-w) | Multiply -w on both sides.

Answer:

14 seconds will be preferable for the second plan

Answer:

5. X = 2, Y = 3

6. X = 3, Y = 8

Step-by-step explanation:

For 5, it is easier to use the substitution method to solve. Plug the Y equation into the Y value of the first equation and simplify.

-3x - 2(5x-7) = -12

-3x - 10x + 14 = -12

-13 = -26x

x = 2

Then, plug the X value into either equation.

y = 5(2) -7

y = 3

For 6, it is easier to use the elimination method to solve. Multiply the first equation by 2 in order to eliminate 4y.

10x - 4y = -2

x + 4y = 35

Add these equations and simplify.

11x = 33

x = 3

Then, plug the X value into either equation.

3 + 4y = 35

32 = 4y

y = 8

Answer:

Total points scored by all together = 290 points.

Aaron and Nick wins.

Step-by-step explanation:

As given,

Total point scored by Noah and Luke = 135 points

Total point scored by Aaron and Nick = 160 points

Now,

Total points scored by all together = Total point scored by Noah and Luke +                                                                                  Total point scored by Aaron and Nick

⇒Total points scored by all together = 135 + 160 = 290 points.

As ,

160 > 135

⇒Total point scored by Aaron and Nick > Total point scored by Noah and Luke

∴ we get

Aaron and Nick wins.

Answer:

Step-by-step explanation:

First you need to find the area then divide that by 14

Answer:

hablas verja ijueputa mamaverja

Step-by-step explanation:

a x^2/4

b -x^2/4+3

c 4x^2

d -x^2

Answer: the perimeter is 214. AB's half is 32.5 and BC's whole is 65

Step-by-step explanation: 10x-5 and 12x-26 are equal, as shown by the marks on their lines, so we can set them equal to each other to solve for x. when solved x=7. then plug 7 into each equation to get 65. lastly add up 84+65+65 to get 214.

Answer:

2n - 2

Step-by-step explanation:

[tex]3n-(2+n)\\\\3n-2-n\\\\3n-n-2\\\\\boxed{2n-2}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

The ratio is 5:13 and the total number of candy is 18. If the total amount of candy increased by 40x then both candy values would increase by 40x. There are 200 Jolly ranchers and 520 jawbreakers.

Answer: You could drive 1120 miles with 40 gallons of gas. The car's gas mileage is 28 miles on a gallon of gas.

Answer:

1/4

Step-by-step explanation:

For a die,

the number of possible results is 6

The prime numbers are 2,3,5

the probability of getting a prime number is thus; 3/6 = 1/2

Tossing a coin, the probability of getting a head is also 1/2

So the probability of getting both on a single toss will be;

1/2 * 1/2 = 1/4

According to the question,

The number of possible results,

Prime numbers,

Now,

The probability of getting a prime number will be:

= [tex]\frac{3}{6}[/tex]

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

then, by tossing the coin head's probability is "[tex]\frac{1}{2}[/tex]".

hence,

Getting both on single toss will be:

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

= [tex]\frac{1}{4}[/tex]

Thus the above answer is right.

Learn more about probability here:

https://brainly.com/question/23276848

Answer:

sqrt(x)=x^1/2

Step-by-step explanation:

The root of a number is the same as writing that number to 1 over the root. In a square root, it is what number multiplied by itself (x*x), as you can see there are two, so it is that number to the 1/2 power. another example is something to the seventh power. that is calculating what number multiplied by itself 7 times would equal the nmber you are taking the root of. (x*x*x*x*x*x*x) so this would be a number to the 1/7 power.

Step-by-step explanation:

9>-2y/7+19

-2y/7> -10

-2y> -70

-y> -35

y < 35

Answer:

64 hope it helps

Step-by-step explanation:

Answer:

D. 64 in.

Step-by-step explanation: