Simplify. Consider all cases. |12 - x|

The second one is filled out. It would be appreciated if someone filled out the first and third.

Also, I am giving out brainliest and a follow + 50 points. Please help me guys.

Answer:

You can use the formula 500 * 1.03^x to solve for any year.

year 4 is 500 * 1.03^(4) = 562.75

year 6 is 500 * 1.03^(6) = 597.03

Year 7 is 500 * 1.03^(7) = 614.94

Step-by-step explanation:

The amount is increasing, and there are two main ways for that to happen.  Addition and multiplication.  So let's see if it keeps getting the same amount added or multiplied.  

0 to 1 goes from 500 to 515, so 15 is added.  but 15.45 is added from 1 to 2, so we can't just do simple addition.

using multiplication 0 to 1 has 1.03 multiplied.  if you multiply by it again you do get 530.45, so we have established what is happening.  

You can use the formula 500 * 1.03^x to solve for any year.

so year 4 is 500 * 1.03^(4) = 562.75

year 6 is 500 * 1.03^(6) = 597.03

Year 7 is 500 * 1.03^(7) = 614.94

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

we can find angle C  b/c the angles of a triangle always add to 180 , soo

180= C + 81 +63.5

35.5 = C

now that we have angle C and we know the Hyp we can use sin to find side g

where g = Opp and Hpy = 13.8 for this question

Sin(35.5) = Opp / 13.8

13.8*Sin(35.5) = Opp

8.0137 = Opp

g = 8.0137

next they ask for the area of the biggest triangle  ABC ( there are two smaller ones when you use D )

we can use 1/2 * base * height , but we don't know the base yet, even thou we do know the height.  

we can solve for line segment CD and DB and then add them for the side a .. or the base of the biggest triangle sooo.. CD = adj

Cos(35.5) = Adj / 13.8

13.8*Cos(35.5) = Adj

11.234794 =Adj

now solve for DB using cos again but with the other smaller triangle where  Adj = DB now

Cos(63.5) = Adj / 8.9

8.9*Cos(63.5) = Adj

3.971160

add these two Adjs together to get the total  'a' side

15.205954

now plug in side a as the base and g as the height of our biggest triangle

Area = 1/2 * 15.205954 * 8.0137

Area = 60.9159

rounded to 2 sig figs

Area = 60.92   :)   hope you get an "A"    :P

Answer:

Option (2)

Step-by-step explanation:

By unitary method,

∵ 8 fluid ounces contains liquid = 237 ml

∴ 1 fluid ounce liquid = [tex]\frac{237}{8}[/tex] ml

∴ 15 fluid ounces liquid = [tex]\frac{237\times 15}{8}[/tex] ml

                                       = 444.375 ml

Therefore, total liquid in 15 fluid ounces 444 ml.

Option (2) will be the answer.  

Answer:

12 in

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h(b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases

Given h = 6, b₁ = 8 and A = 60 , then

[tex]\frac{1}{2}[/tex] × 6 × (8 + b₂ ) = 60 , that is

3(8 + b₂ ) = 60 ( divide both sides by 3 )

8 + b₂ = 20 ( subtract 8 from both sides )

b₂ = 12

The length of the second base is 12 inches

Answer:

A) x² + 7x - 12 is NOT equivalent to the expression.

Step-by-step explanation:

1) expand by distributing terms.

[tex] {x }^{2} - 3x + 4(x - 3)[/tex]

2) Expand by distributing terms.

[tex] {x}^{2} - 3x + 4x - 12[/tex]

3) Collect like terms.

[tex] {x}^{2} + ( - 3x + 4x) - 12[/tex]

4) Simplify.

[tex] {x}^{2} + x - 12[/tex]

The second equation are equivalent to the equation. but the first equation is not equivalent to the main equation.

Answer:

7m^2n (i think)

Step-by-step explanation:

Answer:

64%

Step-by-step explanation:

16/25=0.64

Answer: 64% of students do not own a cell phone

Step-by-step explanation:

First, take 100 and divide it by 25, since percentages are out of 100

100/25=4

Now multiply 4 by 16

4x16

You will get

64%

Answer:

37

Step-by-step explanation:

You add them to see the new depth

Answer:

Can you please send another picture your picture isn't to clear not the question

Answer:

your picture isn't clear it's really blurry can you add another?

Step-by-step explanation:

thanks

Answer:

43x+39

Step-by-step explanation:

(5)(9x)+(5)(6)+−2x+9

=45x+30+−2x+9

=45x+30+−2x+9

=(45x+−2x)+(30+9)

=43x+39

(if this helps please give brainliest and 5 stars thanks)

Answer:

43x + 39

Step-by-step explanation:

5 ( 9x + 6 ) - 2x + 9

Firstly, open up the brackets.

= 45x + 30 - 2x + 9

Now bring the like term together and simplify.

=45x - 2x + 30 + 9

= 43x + 39

Answer: 14 weeks 5 days

Step-by-step explanation:

From the question, we are informed that Amir has 103 days to finish a project and that he works 7 days a week on the project.

The number of weeks and days that he has to finish the project will be:

= 103/7

= 14 5/7

= 14 weeks 5 days

Answer:

7h=63 so a because she charges $7 per hour and earned a total of $63

Answer:

i dont know

Step-by-step explanation:

Answer:

√514, or 22.67

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

1,500/25= 60

Now your gonna do

90

Answer:

-7 and 2

Step-by-step explanation:

I hope this helps :)

Let me know if you need a full explanation

Answer:

Step-by-step explanation:

a+b=-5

a=-5-b, we are also given

ab=-14, using a found above makes this become

(-5-b)b=-14

-5b-b^2=-14

b^2+5b-14=0

(b+7)(b-2)=0

So the numbers are -7 and 2.

Answer: 18

Step-by-step explanation:

Step-by-step explanation: The ratio of boys to girls in mr johnson's club: 4:12 =1:3

This ratio is same as the ratio of boys to girls inms greenesclub, 1:3

1:3 is same as 6:18

So there are 18 girls in ms greene club

is there any barinliest for me

Answer:

A line drawn from the midpoint of one side of a triangle to it's opposite vertex would be an angle bisector of that vertex.

Step-by-step explanation:

Answer:

first one

relationship between base and perpendicular is

given by tan angle

tan x=P/h

remember perpendicular is opposite side of taken angle

tan x=13/8

<x=tàn-¹(13/8)=58.39°

for second one

relationship between base and hypotenuse is given by cos angle

cos G=b/h

cos G=24/32

<G=cos-¹(24/32)=41.4 is your answer

Answer:

x = 15

Step-by-step explanation:

Create and solve an equation of ratios.  We can do this because the smaller triangle and the larger one are similar.

  x          5 + x

------- = -----------

   9         9 + 3

Cross-multiplying, we get 12x = 45 + 9x,

which simplifies to 3x = 45

Solving for x, we get x = 15

$1.48 is the sales tax

Step-by-step explanation:

$15.50 times 6% = 1.48

6%=.06. 1. amount of cost multiplied by amount sales tax,but you have to turn sales tax into decimal

Answer: Meena ate 1/8. Her brother ate 2/8, and her mom ate 3/8ths of the pizza.  Her brother can be simplified from 2/8 to 1/4. Lastly, 6/8ths of the pizza has been  eaten. 2/8ths is all that remains.

Step-by-step explanation:

Step-by-step explanation:

7(36-2c+4)

=252 - 14c + 28

=310 - 14c