Determine if the product of 2/18 • 3/3 is rational or irrational?
Explain your answer.

Answer:

Picture Below

Step-by-step explanation:

You can simplify it by dividing it into

y = -1.5x-1

Answer:

y = 1/3 x + 5/3

Step-by-step explanation:

For rectangular to polar

x = rcosθ ... 1

y = rsinθ ... 2

Given the expression

r=5/3sinθ−cosθ

Cross multiply

r(3sinθ−cosθ) = 5

Expand

3rsinθ−rcosθ = 5 ..3

Substitute 1 and 2 into 3

3y - x = 5

Write in slope intercept form

3y = x + 5

Divide through by 3;

3y/3 = x/3 + 5/3

y = x/3 + 5/3

y = 1/3 x + 5/3

Hence the expression in slope-intercept form is y = 1/3 x + 5/3

Answer:

the cost of Roy's ride is $23.05

Step-by-step explanation:

According to the Question,

Let, Cost of per minute charge is 'x' & Cost Of Per Kilometre charge is y .

⇒ Judy's ride costs $16.75 . but the actual cost after deducting the fixed charge is 16.75-2.55 = $14.20, took 8 minutes & The distance travelled was 10 km. Thus, the equation for the journey is 8x+10y=14.20 ⇒ Equ. 1

⇒ Pat's ride costs $30.35 . but the actual cost after deducting the fixed charge is 30.35-2.55 = $27.80, took 20 minutes & The distance travelled was 18 km. Thus, the equation for the journey is 20x+18y=27.80 ⇒ Equ. 2

Now, on Solving Equation 1 & 2, We get

x=0.4(Cost of per minute charge) & y=1.1(Cost Of Per Kilometre charge)

Now, Roy's ride took 10 minutes & The distance travelled was 15 km . Thus, the cost of Roy's Ride is 10x+15y ⇔ 10×0.4 + 15×1.1 ⇔ $20.5

Hence, the total cost of Roy's ride is 20.5 + 2.55(fixed cost) = $23.05

Answer:

See explanation

Step-by-step explanation:

A

x + 3y = 5

(x, y) = (2,1)

x + 3y = 5

2 + 3(1) = 5

2 + 3 = 5

5 = 5

The equation is true

B.

y = –x + 3

(x, y) = (2, 1)

y = –x + 3

1 = -2 + 3

1 = 1

The equation is true

7/10= 28/40

5/8=25/40

0.8=4/5=32/40

32>28>25

So 0.8>7/10>5/8

Answer:

D: 9.041 × 10^(10)

Step-by-step explanation:

The correct expression is;

(9.84 × 10^(10)) - (7.99 × 10^(9))

To subtract this, we need to ensure that both terms have the same powers.

Thus, (7.99 × 10^(9)) = (0.799 × 10^(10))

Lets now solve;

>> (9.84 × 10^(10)) - (0.799 × 10^(10))

Collecting like terms we have;

(9.84 - 0.799) × 10^(10)

>> 9.041 × 10^(10)

Answer:

the answer is the third option

Step-by-step explanation:

Answer:

x ≈ 16.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

Answer:

$600.00

Step-by-step explanation:

The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited

We solve using Compound Interest formula which is given as:

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 per year,

Then, solve the equation for P

P = I / ((1 + r/n)^nt - 1)

P = 30 / ((1 + 0.05/1)^(1×1) - 1)

P = 30 / ((1 + 0.05)^(1) - 1)

P = $600.00

Answer:

1/4

Step-by-step explanation:

pitches >3

pitches=4,5

P=(15+10)/(15+20+40+15+10)=1/4

Answer:

3, 5, 7, 7, 8

Step-by-step explanation:

3, 5, 7, 7, 8

the mean = (3+5+7+7+8)/5 = 30/5= 6

the mode = 7

Answer:

8f² + 11f

Step-by-step explanation:

there are no expressions listed

This is the expression simplified

8f² + 11f

Answer and explanation:

Assuming Edmund has $0

From Edmund, we know the toy costs $40(assuming it's in dollars)

Lucy gives him $40 and has $10 less($40-$10) to buy her own toy

Therefore Lucy had $40+$30= $70 before giving Edmund $40 for his toy.

Lucy currently has $70-$40 =$30, therefore needs $10 more to buy her own toy

Answer:

L DAC

Step-by-step explanation:

__________________

Answer:

a. Alternate exterior angles.

b. <A and <B are congruent. This diagram involves a line intersecting two parallel lines, forming the congruent angles <A and <B on opposite sides of the transversal.

c. They are alternate exterior angles like <A and <B, but because it is not guaranteed that the transversal is intersecting parallel lines in this case, we cannot prove that <C and <D are congruent alternate exterior angles.

Answer:

148.91

Step-by-step explanation:

hope it helps<333

Answer: x= -5+ 2 squared.

Step-by-step explanation:

Answer:

401.24m

Step-by-step explanation:

the length is,

97x2 + 66x3.14

Answer:

b = -a

Step-by-step explanation:

We know that:

On a number line, the distance between 0 and b is the same distance that between 0 and a (but b and a are in opposite sides of zero).

And we know that, for example, when:

b = 2,  a = -2

Remember that the distance between two values is given by:

|n - m|

Then the distance between 0 and b is:

|0 - b|

and the distance between 0 and a is:

|0 - a|

we have:

|-b| = |-a|

|b| = |a|

But the numbers are in opposite sides of the zero, so one must be positive and the other negative, then we can conclude that:

b = -a

or

-b = a

(these are equivalent)

Then the correct option is the first option:

b = -a

Answer:

3

Step-by-step explanation:

f(x) =2x+3

Let x=0

f(0) =2*0+3

Multiply

f(0) =0+3

Add

f(0) =3

Answer:

3

step-by-step explanation

f ( x ) = 2 x + 3

f ( 0 ) = 2 × 0 + 3 .. ( f ( x = 0 ) - given )

multiply

f ( 0 ) = 0 + 3

Add the numbers

f ( 0 ) = 3

Answer:

my answer is in this picture. sorry about my handwriting.

Answer: easy

Step-by-step explanation: 0.25 there

Answer:

67

Step-by-step explanation:

Answer.

67°

Step-by-step explanation:

the two lines are parallel so,

angle on line XY 67° is alternate angle on BD so, angle will be opposite angle y.

therefore, angle y= 67°

i got help from an awesome app called Gauthmath you can check it out on play store and app store. in my opinion avery good app with tutors and concept videos.

Answer:

Rs. 20246

Step-by-step explanation:

According To the Question,

Thus, the third payment, he has to make to clear the entire loan.

First-Payment = ( 50000 x 1.06 ) - 18000  ⇔  35000 Rs.

Second-Payment = (35000 x 1.06) - 18000  ⇔ 19100 Rs.

Third-Payment = (19100 x 1.06 ) ⇔ 20246 Rs. the third payment, he has to make to clear the entire loan.

Answer:

426 chickens

Step-by-step explanation:

let the pigs = x

the ducks = 2×x = 2x

the chickens = 3×(2x) = 6x

x +2x +6x = 639

9x=639

x = 639/9 = 71

the chickens = 6x = 6×71 = 426

Answer:

[tex]426\:\mathrm{chickens}[/tex]

Step-by-step explanation:

Since a duck has two legs, a pig has four legs, and a chicken has two legs, we can write the following system of equations:

[tex]\begin{cases}d+p+c=639,\\d=2p,\\c=3d\end{cases}[/tex], where [tex]d[/tex] is the number of ducks on the farm, [tex]c[/tex] is the number of chickens, and [tex]p[/tex] is the number of pigs.

Substituting, we get:

[tex]d+\frac{1}{2}d+3d=639,\\4.5d=639,\\d=\boxed{142}[/tex]

Now substitute [tex]d=142[/tex] into [tex]c=3d[/tex] to get the number of chickens:

[tex]c=3(142)=\boxed{426\:\mathrm{chickens}}[/tex]

Answer:

write these time in words 3:45

Answer:

6:22

Step-by-step explanation:

original time minutes when they both started - 47

47+ natalie's time

47+27 =74

minus 60 minutes to account for the hour (6 o'clock)

74-60=14

natalie finished at 6:14

warren finished 8 minutes after natalie's time

14+8=22

the hour did not finish so it will remain at 6

which leaves your final answer for the time that warren finished as 6:22