what number is the opposite of 3 1/4?

Answer:

8/12

Step-by-step explanation:

Answer:

[tex] \purple { \bold{ \frac{ (x - 3)}{3x - 18} }}[/tex]

Step-by-step explanation:

[tex] \frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2} + x - 12}{3x - 18} \\ \\ = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2} + 4x - 3x - 12}{3(x - 6)} \\ \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x + 4)}{3(x - 6)} \\ \\ = \frac{ \cancel{(x + 3)}}{ (x + 4) \cancel{(x + 3)} } . \frac{ (x + 4) (x - 3)}{3(x - 6)} \\ \\ = \frac{1}{ \cancel{ (x + 4)} } . \frac{ \cancel{ (x + 4)} (x - 3)}{3(x - 6)} \\ \\ \red{ \bold{= \frac{ (x - 3)}{3x - 18} }}\\ \\ [/tex]

Answer:

Average price = $3.185

Step-by-step explanation:

Given:

12 notepads = $4.20 each

25 folders = $0.80 each

3 calculators =  $19.00 each

Find:

Average price

Computation:

Average price = Total cost / Total number of item

Average price = [(12)(4.20) + (25)(0.80) + (3)(19)] / [12 + 25 + 3]

Average price = [(50.4) + (20) + (57)] / [40]

Average price = [127.4] / [40]

Average price = $3.185

Answer:

[tex]3(x - 5) \leqslant 24 \\ 3x - 15 \leqslant 24 \\ 3x \leqslant 24 + 15 \\ 3x \leqslant 39 \\ x \leqslant \frac{39}{3} \\ x \leqslant 13[/tex]

Answer:

x ≤ 13

Step-by-step explanation:

Let's sort out the brackets first, expand them.

3(x-5) --> 3x - 15

Now our equation looks like this.

3x - 15 ≤ 24

Since we are solving the inequality, let's get the x on its own. Add the 15 to remove it from one side.

3x - 15 ≤ 24

     +15   +15

3x ≤ 39

We are still trying to get x on its own so let's divide the 3, to remove it.

3x ≤ 39

 ÷3  ÷3

x ≤ 13

And that is the final answer!

Answer:

number 3

Step-by-step explanation:

Answer:

M = 2 b= 10

Step-by-step explanation:

Turn it to mx + b form

By +2x to both sides

Y = 2x + 10

unfortunetly my answer was wrong so i edited it........

Answer:

x = 3, x = 4

Step-by-step explanation:

The absolute value function always gives a positive result.

However the expression inside can be positive or negative, that is

2x - 7 = 1 or - (2x - 7) = 1

solving both

2x - 7 = 1 ( add 7 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

or

- (2x - 7) = 1 ← distribute left side

- 2x + 7 = 1 ( subtract 7 from both sides )

- 2x = - 6 ( divide both sides by - 2 )

x = 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 4 : | 8 - 7 | = | 1 | = 1 = right side

x = 3 : | 6 - 7 | = | - 1 | = 1 = right side

Then x = 3, x = 4 are the solutions

a bueno

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Answer:

11

Step-by-step explanation:

q^4=4

r=1

s^6=6

4+1+6=11

Answer:

145) A

146) C

147) B

148) D

Answer:

its D

Step-by-step explanation:

D the answer is zero that is as low as you can get

1,3,1,2

Step-by-step explanation:

don't know if I'm working correctly

Answer:

4th option

Step-by-step explanation:

The first step for the first two choices are incorrect, the first one is supposed to be same side exterior angles, the second, same side exterior as well. For the third, the third step is not alternate interior angles.

Answer:

first blank: 2

second blank: 2

Answer:

78 boys

Step-by-step explanation:

If the raio is 2:3 that means there are 5 equal parts

56/2 28

3 x 28 = 78

Answer:

a

Step-by-step explanation:

Answer:

I think it's

Step-by-step explanation:

It might be a because (6.9, 10) is not a graph included.

Answer:

To stay within budget, she must use 4.4 gigabytes.

Step-by-step explanation:

Giving the following information:

Fixed cost= $57.50 per month

Variable cost= $4 per gigabyte.

She wants to keep her bill at $75.10 per month.

First, we need to establish the total cost formula:

Total cost= 57.5 + 4*x

x= number of gigabytes

Now, we isolate x:

75.1= 57.5 + 4x

17.6/4= x

4.4= x

To stay within budget, she must use 4.4 gigabytes.

Answer:

she has to use 4.4 gigabytes

Step-by-step explanation:

Answer:

C) 10, 14, 13

the sum of the lengths of the two shorter legs must be greater than the length of the third leg.   note: not equal to either like "B".

Answer:

-4/3

Step-by-step explanation:

it says to find the slope you do y2 - y1 / x2 - x1.

From the points, you have x1 = -3, x2 = 0, y1 = 3, y2 = -1.

Plug those in:

-1 - 3 / 0 - (-3) = -4 / 3 = -4/3

Answer:

-1-3/0-(-3)= -4/3

Step-by-step explanation:

since m=y2-y1/x2-x1 the equation would be -1-3/0-(-3) which equals to -4/0+3 which equals -4/3. since it's slope you do not simplify.

Answer:

ab+5a+3b+15

Step-by-step explanation:

(a+3)(b+5)

a(b+5)+3(b+5)

ab+5a+3b+15

Answer:

Attached

Step-by-step explanation:

Answer:

true false false true

Step-by-step explanation:

Answer:

C- 4f less than or equal to 36

Step-by-step explanation:

The fish are 4 dollars each so how many fish you buy, you will multiply 4. Example- I will buy 5 fish so 5×4=20.

You can only spend less than 36 or you can spend exactly 36 dollars.

In my example I spent less than 36 dollars. I don't know if you understand but tell me if you need help.

Answer:

72.18

Step-by-step explanation:

The hundreth place is the second to the right of the decimal. So the number in the hundreths place is 72.178. When rounding, you look at the number behind the number you are rounding to. In this case, you want to look at the 8. If the number is 5 or above, you round up. 8 is above 5 so you round the 7 to an 8.

Answer: 72.18

Step-by-step explanation:

hope this helps

Answer:

A

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1

Divide all terms by sin²x

[tex]\frac{sin^2x}{sin^2x}[/tex] + [tex]\frac{cos^2x}{sin^2x}[/tex] = [tex]\frac{1}{sin^2x}[/tex] , that is

1 + cot²x = csc²x

Thus

cot²θ + 1 = csc²θ → A

Answer:

-6 and -3

Step-by-step explanation:

Answer:

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Step-by-step explanation:

C = (0, 7)

Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]

[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]

[tex] AC= \sqrt{0 +36 }[/tex]

[tex] AC= \sqrt{36 }[/tex]

[tex] AC= 6\: units[/tex]

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]

[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]

[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]

[tex] CB =\frac{6}{2.24} [/tex]

[tex] CB =2.68\: units [/tex]

By Pythagoras Theorem:

[tex] AB=\sqrt{AC^2 - CB^2} [/tex]

[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]

[tex] AB=\sqrt{36 - 7.18} [/tex]

[tex] AB=\sqrt{28.82} [/tex]

[tex] AB=5.36842621\: units [/tex]

[tex] AB\approx 5.37\: units [/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]

[tex] A(\triangle ABC) = 7.1958[/tex]

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]