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3 years ago

Which ratios are equivalent to the given ratio?

Mathematics

2 answers:

Ahat [919]3 years ago

3 0

Lets see 3:2...
6 to 4
18:12
are the answers!
Hope it helped!!!!!
:)

MaRussiya [10]3 years ago

3 0

Answer:

6 to 4, and 18:12 hope this helped!

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What is the solution to 3-3x + 9| = -18?

solmaris [256]

Answer:

x = 5 or x = 1

Step-by-step explanation:

Absolute Value Equation entered :

3|3x-9|=18

Step by step solution :

Step 1: Rearrange this Absolute Value Equation

Absolute value equalitiy entered

3|3x-9| = 18

Step 2: Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|3x-9|

For the Negative case we'll use -3(3x-9)

For the Positive case we'll use 3(3x-9)

Step 3: Solve the Negative Case

-3(3x-9) = 18

Multiply

-9x+27 = 18

Rearrange and Add up

-9x = -9

Divide both sides by 9

-x = -1

Multiply both sides by (-1)

x = 1

Which is the solution for the Negative Case

Step 4: Solve the Positive Case

(3x-9) = 18

Multiply

9x-27 = 18

Rearrange and Add up

9x = 45

Divide both sides by 9

x = 5

Which is the solution for the Positive Case

Step 5: Wrap up the solution

x=1

x=5

Solutions on the Number Line

Two solutions were found :

x=5

x=1

8 0

1 year ago

HELP!!<br>Find the third term of (x^2+3y)^3

lana66690 [7]

Answer:

$T_{3}=27{x}^{2}y^2$

Step-by-step explanation:

The given binomial expression is:

$( {x}^{2} + 3y)^{3}$

When we compare to:

${(a +b)}^{n}$

We have

$a = {x}^{2}$

$b = 3y \\ n = 3$

The nth term is given by;

$T_{r+1}=^nC_ra^{n-r}b^r$

To find the 3rd term, we put:

$r + 1 = 3 \\ r = 2$

We substitute into the formula to get:

$T_{3}=^3C_2( {x}^{2} )^{3-2}(3y)^2$

We simply:

$T_{3}=3( {x}^{2} )^{1} \times 9y^2$

$T_{3}=27{x}^{2}y^2$

3 0

3 years ago

Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded conti

Rudik [331]

Answer:

$ 20,189.65

Step-by-step explanation:

Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?

From the above question, we are to find the Principal. The formula for Principal compounded continuously =

P = A / e^rt

Where:

A = Amount after time t = $100,000

r = Interest rate = 4%

t = Time in years = 40 years

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for P

P = A / e^rt

P = 100,000.00 / e ^(0.04×40)

P = $ 20,189.65

Therefore, the amount Jake's parents should invest = $ 20,189.65

8 0

3 years ago

Help. plz help.............

Alex787 [66]

Answer:

1) communative property

2) difference

3) identitiy property

4) estimate

5) associative property

6) round

Step-by-step explanation:

hope this helps <3

5 0

3 years ago

Remind write the equation of the line y=1/3(x+2). He solved for x and got x=3y-2. which of the following is a equivalent equatio

jekas [21]

Answer:

Step-by-step explanation:

multiply 1/3 by x and 3

3 0

2 years ago