Which expression is equivalent to 1/4(12x + 16) + 3x + 7

Please help!!!

a. 15/4x + 7
b. 15x + 23
c. 6x + 23
d. 6x + 11

Answer:

4 grams

Step-by-step explanation:

Find how many grams of sugar are in each mixture:

10(0.15)

= 1.5

25(0.1)

= 2.5

Add these together:

1.5 + 2.5 = 4

So, the mixture contains 4 grams of sugar

Answer:

(D)

Step-by-step explanation:

If it has a leading coefficient of 1, then it can not (A) or (B) because they have a two in front of it. Next, we can check the roots -2 and 7. -2 goes with (x+2), while 7 goes with (x-7). Therefore, you can already see that the answer is (D). To make sure. let us check the root 5 with multiplicity of 2. 5 goes with (x-5), implying that there must be 2 (x-5)'s. Only (D) satifies that as well, so the answer must be (D).

Answer:

D on edge

Step-by-step explanation:

Answer:

The inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is;

Y ≤ $3.07

Step-by-step explanation:

The parameters for the maximum earnings and the number a=of socks for soccer Diego can buy are;

The maximum amount Diego has, A = $35

The cost of the shorts Diego wants, S = $19.95

The number of pairs of socks Diego needs, n = 5 pairs

Let the

Given that, 'x', represents the price of a pair of socks, we have, the inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is given as follows;

Y ≤ (A - S)/n

Plugging in the known values of 'A', 'S', and 'n', we have;

Y ≤ (35 - 19.65)/5 = 3.07

∴ Y ≤ $3.07

Answer:

1/6 times the number cube wil land on 2

Step-by-step explanation:

Answer:

no entiendo me explican que significa por fa

Answer:

156

Step-by-step explanation

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Answer:

Jawapan kepada 89 + 67 = 156

Answer:

21

Step-by-step explanation:

21 divided by 7 is three: to the third power of 11 so your answer is 21, I think

Answer:

[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}[/tex]

[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}[/tex]

[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}[/tex]

[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}[/tex]

[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1[/tex]

[tex]\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}[/tex]

[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x[/tex]

Step-by-step explanation:

Required

Simplify

Solving (1):

[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}[/tex]

Factorize the numerator and the denominator

[tex]\frac{x^2(x + 2) -9(x+2)}{x(x^2-x-6)}[/tex]

Factor out x+2 at the numerator

[tex]\frac{(x^2 -9)(x+2)}{x(x^2-x-6)}[/tex]

Express x^2 - 9 as difference of two squares

[tex]\frac{(x^2 -3^2)(x+2)}{x(x^2-x-6)}[/tex]

[tex]\frac{(x -3)(x+3)(x+2)}{x(x^2-x-6)}[/tex]

Expand the denominator

[tex]\frac{(x -3)(x+3)(x+2)}{x(x^2-3x+2x-6)}[/tex]

Factorize

[tex]\frac{(x -3)(x+3)(x+2)}{x(x(x-3)+2(x-3))}[/tex]

[tex]\frac{(x -3)(x+3)(x+2)}{x(x+2)(x-3)}[/tex]

Cancel out same factors

[tex]\frac{(x+3)}{x}[/tex]

Hence:

[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}[/tex]

Solving (2):

[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2}[/tex]

Expand the numerator and factorize the denominator

[tex]\frac{3x^2 - 6x + x - 2}{x^2(x- 2)}[/tex]

Factorize the numerator

[tex]\frac{3x(x - 2) + 1(x - 2)}{x^2(x- 2)}[/tex]

Factor out x - 2

[tex]\frac{(3x + 1)(x - 2)}{x^2(x- 2)}[/tex]

Cancel out x - 2

[tex]\frac{3x + 1}{x^2}[/tex]

Hence:

[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}[/tex]

Solving (3):

[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}[/tex]

Express x^2 - 9 as difference of two squares

[tex]\frac{6 - 2x}{x^2 - 3^2} * \frac{15 + 5x}{4x}[/tex]

Factorize all:

[tex]\frac{2(3 - x)}{(x- 3)(x+3)} * \frac{5(3 + x)}{2(2x)}[/tex]

Cancel out x + 3 and 3 + x

[tex]\frac{2(3 - x)}{(x- 3)} * \frac{5}{2(2x)}[/tex]

[tex]\frac{3 - x}{x- 3} * \frac{5}{2x}[/tex]

Express [tex]3 - x[/tex] as [tex]-(x - 3)[/tex]

[tex]\frac{-(x-3)}{x- 3} * \frac{5}{2x}\\[/tex]

[tex]-1 * \frac{5}{2x}[/tex]

[tex]-\frac{5}{2x}[/tex]

Hence:

[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}[/tex]

Solving (4):

[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x}[/tex]

Expand x^2 - 6x + 9 and factorize 5x - 15

[tex]\frac{x^2 -3x -3x+ 9}{5(x - 3)} / \frac{5}{3-x}[/tex]

Factorize

[tex]\frac{x(x -3) -3(x-3)}{5(x - 3)} / \frac{5}{3-x}[/tex]

[tex]\frac{(x -3)(x-3)}{5(x - 3)} / \frac{5}{3-x}[/tex]

Cancel out x - 3

[tex]\frac{(x -3)}{5} / \frac{5}{3-x}[/tex]

Change / to *

[tex]\frac{(x -3)}{5} * \frac{3-x}{5}[/tex]

Express [tex]3 - x[/tex] as [tex]-(x - 3)[/tex]

[tex]\frac{(x -3)}{5} * \frac{-(x-3)}{5}[/tex]

[tex]\frac{-(x-3)(x -3)}{5*5}[/tex]

[tex]\frac{-(x-3)^2}{25}[/tex]

Hence:

[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}[/tex]

Solving (5):

[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}[/tex]

Factorize the numerator and expand the denominator

[tex]\frac{x^2(x - 1) -1(x - 1)}{x^2 - x-x+1}[/tex]

Factor out x - 1 at the numerator and factorize the denominator

[tex]\frac{(x^2 - 1)(x - 1)}{x(x -1)- 1(x-1)}[/tex]

Express x^2 - 1 as difference of two squares and factor out x - 1 at the denominator

[tex]\frac{(x +1)(x-1)(x - 1)}{(x -1)(x-1)}[/tex]

[tex]x +1[/tex]

Hence:

[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1[/tex]

Solving (6):

[tex]\frac{9x^2 + 3x}{6x^2}[/tex]

Factorize:

[tex]\frac{3x(3x + 1)}{3x(2x)}[/tex]

Divide by 3x

[tex]\frac{3x + 1}{2x}[/tex]

Hence:

[tex]\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}[/tex]

Solving (7):

[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x}[/tex]

Change / to *

[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}[/tex]

Expand

[tex]\frac{x^2-2x-x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}[/tex]

Factorize

[tex]\frac{x(x-2)-1(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}[/tex]

[tex]\frac{(x-1)(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}[/tex]

Cancel out x - 2 and x - 1

[tex]\frac{1}{4x} * \frac{12x^2}{x} * \frac{x}{1}[/tex]

Cancel out x

[tex]\frac{1}{4x} * \frac{12x^2}{1} * \frac{1}{1}[/tex]

[tex]\frac{12x^2}{4x}[/tex]

[tex]3x[/tex]

Hence:

[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x[/tex]

Step-by-step explanation:

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Answer:

16

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

It's the correct spelling.

Answer: C

Step-by-step explanation:

Option A is true comparisons among the given option as the number are in increasing order A. 4 < √18 < 4.5 .

To determine if this is true, let's calculate the square root of 18:

√18 ≈ 4.2426

Substituting the value into the comparison:

4 < 4.2426 < 4.5

This statement is true because 4 is indeed less than 4.2426, and 4.2426 is less than 4.5. Therefore, Option A is true.

B. 4.5 < √18 < 5

Option B states that 4.5 is less than the square root of 18, and the square root of 18 is less than 5. We have already determined the value of the square root of 18 as approximately 4.2426. Evaluating this comparison:

4.5 < √18 < 5

This statement is also true because 4.5 is not less than 4.2426, and 4.2426 is less than 5. Therefore, Option B is not true.

C. 8.5 < √18 < 9.5

Option C states that 8.5 is less than the square root of 18, and the square root of 18 is less than 9.5. We have already established the value of the square root of 18 as approximately 4.2426. Evaluating this comparison:

8.5 < √18 < 9.5

This statement is false because 8.5 is not less than 4.2426. Therefore, Option C is not true.

D. 17 < √18 < 19

Option D states that 17 is less than the square root of 18, and the square root of 18 is less than 19. Evaluating this comparison:

17 < √18 < 19

This statement is true because 17 is not less than 4.2426, and 4.2426 is less than 19. Therefore, Option D is not true.

In conclusion, among the given options, Option A is true comparisons:

A. 4 < √18 < 4.5

To know more about comparison click here :

https://brainly.com/question/29072830

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Which comparison is true?

A. 4 <√18 < 4.5

B. 4.5 < √18 < 5

C. 8.5 < √18 < 9.5

D. 17 < √18 < 19

Step-by-step explanation:

a)

6.9+1.1= 8

b)

9.9+2.45=12.35

[tex]12 \frac{35}{100} [/tex]

c)

2.4+8.9=11.3

[tex]11 \frac{3}{10} [/tex]

d)

6.37+7.7=14.07

[tex]14 \frac{7}{100} [/tex]

Answer:

Equations are

20c + 10m = 495..............(1)

8c + 1m = 178.5.................(2)

Now ,  equation (2) * 10 = 80c + 10m = 1785...........(3)

So, Eq. (3) -  Eq(1) =

80c + 10m - 20c - 10m = 1785 - 495

60c = 1290

c= 21.5

********************************************************

Now place the value of c in Eq (2)

So , m =6.5

Mark my answer as brainlist answer

Step-by-step explanation:

Answer:

A,B,&E are definitely 7 or more

She had hiccups so she ordered a glass of water. The man noticed so he pulled out a gun to give her a scare. Being startled is said to make hiccups stop. Therefore, she thanked him for ending her hiccups and left.

Answer:

2.7 pages and 1.7 pounds of rice

Step-by-step explanation:

2.7 pages in one minute because 27/10=2.7

and 1.7 pounds of rice can be purchased for a dollar because 15/9 is about 1.7

Answer:

8

Step-by-step explanation:

because there is nothing to subtract 8 from

Answer:

2.3

EDIT ITS 8.7 SEE THIS IS WHY YOU CANT TRUST ME

Step-by-step explanation:

Answer:

8.7

Step-by-step explanation:

just add 5.5 and 3.2

Answer: 80% views are added

Step-by-step explanation:

The required  daily percent change in the views of the video is 50%.

Nina uploaded a funny video on her website, the relationship between the elapsed time t, and number of views. V(t) is V(t)=500⋅(1.8)t.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
V(t)=500⋅(1.8)t
The slope of the given relationship will describe the the daily percent change in the views of the video i.e.
m = 500*1.8
m = 900
since the rate of increase in views in each day is by 900.

Now the percentage change per day.
= 900/1800 x 100
= 50 %

Thus, the required  daily percent change in the views of the video is 50%.

Learn more about rate of change here: https://brainly.com/question/13103052

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Answer

1,049.18 and 20,125.18

Step-by-step explanation:

increase: 19,076*0.055 = 1,049.18

new price: 19,076*1.055 = 20,125.18

Step-by-step explanation:

tsa= total surface area

csa=curved surface area

answer is in the picture

Answer: where is the image if there is ment to be one

Step-by-step explanation:

Answer:

The answer is A. 18.84

Step-by-step explanation:

Hope this helps =)

Answer:

8 2/3 per mile

Step-by-step explanation:

130 / 15 = 8 2/3

Hope that helps!

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

0.186 mile rounded = 0.19

Step-by-step explanation:

the answer is 0.19