Is the decimal 0.888. . . rational or irrational? If it is rational, write it as a fraction. If it is irrational, explain why.

Answer:

1 can be written as √1 and 2 can be written as √4 and because 1 < 2 < 4, our answer is 1 and 2.

Answer:

1) 0.21

Step-by-step explanation:

This is because there are 4 bananas out of all 19 fruits. 4/19 is equal to 0.21052631578.

Step-by-step explanation:

Since these angles are supplementary (meaning they have a sum of 180 degrees) we get 3a + 2a + 4a = 180° which simplifies to 9a = 180 and then a = 20°

Answer:

a = 20

Step-by-step explanation:

The angles form a straight line, which is 180 degrees

3a + 2a + 4a = 180

Combine like terms

9a = 180

Divide by 9

9a/9 =180/9

a = 20

Answer:

1/4

Step-by-step explanation:

3 and 6 are both multiples of 3, so there is a 2/8 chance of spinning a multiple of 3, which can be simplified to 1/4.

Answer:

36

Step-by-step explanation:

25:9

25*4 = 100

9*4 = 36

Answer:

Step-by-step explanation: since ab||ef, line cd is a transversal

x+35°=85° (alternate interior angles)

x=85-35

x= 50°

taking bd as a transversal

y= 35° (alternate interior angles)

taking bz as a transversal

y+z+40°= 180° (interior angles on the same side of the transversal)

z+35°+40°= 180°

z+75°= 180°

z= 180-75

z= 105°

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Answer:

x = 50 degree found by working out c and d

y = 35 degree

z = 105 degree

Step-by-step explanation:

c is solved 180-85 = 95 as all straight lines equal (180)

d is solved 85-35 = 50 as it is alternate of c (85)

x is found  85 - 35 = 50 degree as it is part of d and not supplementary

y is found  180-95 = 85 then 85-50 = 35 as angles are adjacent and add up to 180 degree.

z is found 180-75 = 105 as angles are adjacent and add upto 180 degree but z is also alternate to missing c angle

Answer:

-1/3 I think

Step-by-step explanation:

I find the slope by finding 2 points where the line hits. I then just count up and across. Could be wrong :/

Hope this helps though :)

Answer:

slope = y2-y1

x2- x1

= 4-2 = 2

6-0. 6

= 1/3

Answer:

B

Step-by-step explanation:

Given a system of equations graphically then the solution is at the point of intersection of the 2 lines.

The point of intersection = (- 4, 8 ) ← solution

Answer:

Percent of error = 4.80% (Approx)

Step-by-step explanation:

Given:

Mass of sample = 109 gram

Actual mass of sample = 104 gram

Find:

Percent of error.

Computation:

Error = Mass of sample - Actual mass of sample

Error = 109 gram - 104 gram

Error =5 gram

Percent of error = (Error / Actual mass of sample)100

Percent of error = (5 / 104)100

Percent of error = 4.80% (Approx)

Answer:

y = -1/3x+3

Step-by-step explanation:

use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer.  y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

The equation that represents the graphed function would be; y = -1/3x+3

We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.

Now plug in the values and get the answer.  

y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 3-2) / ( 0-3)

m = -1/3

The equation will be  y=-1/3x+3

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Answer:

V = 10 in^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We have the diameter

r = d/2 = 2.7/2 =1.35

V = 4/3 ( 3.14) (1.35)^3

V =10.30077

Rounding to the nearest whole number

V = 10 in^3

Answer:

10 in^3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

1) 8 liters of pure acid

2) 27 liters of 35% ethanol

3) 8.2 liters of 30% acid

Step-by-step explanation:

The inicial amount of acid is 15% of 12 L, and the inicial volume is 12L.

Adding 'x' L of 100% acid, we have the amount of acid equal to 12 * 0.15 + x * 1, and the volume of 12 + x. The concentration is the amount of acid over the volume, so we have that:

(12*0.15 + x) / (12 + x) = 49/100

(1.8 + x)*100 = (12 + x) * 49

180 + 100x = 588 + 49x

51x = 408

x = 8 liters of pure acid

Similar to the solution above, for the second question we have:

(23*0.26 + 0.35*x) / (23 + x) = 30.86/100

(5.98 + 0.35*x)*100 = (23 + x) * 30.86

598 + 35x = 709.78 + 30.86x

4.14x = 111.78

x = 27 liters of 35% ethanol

For the third question, we have:

(10*0.5366 + 0.3*x) / (10 + x) = 43/100

(5.366 + 0.3x)*100 = (10 + x)*43

536.6 + 30x = 430 + 43x

13x = 106.6

x = 8.2 liters of 30% acid

Answer:

We cannot have a single point of solution

Step-by-step explanation:

When the boundary lines are parallel, we can have no solution,  or infinite solutions.  We cannot have a  single point of solution

Answer:

I believe there is no single solution

Answer:

Step-by-step explanation:

A triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]  according to the translation rule.

According to translation rule [tex]T_{a,b}(x,y)[/tex] tells that translation of a point (x,y)

by (a,b) is given by [tex](x,y)[/tex]→[tex](x+a,y+b)[/tex].

Given that [tex]T_{-8,4}(x,y)[/tex], a=-8 and b=4

Putting in the values given in the question to the translation rule we get

[tex](x,y)[/tex]→[tex](x+(-8),y+(4))[/tex]

[tex](x,y)[/tex]→[tex](x-8,y+4)[/tex]

Hence we get triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]. Answer C is correct.

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Answer:

m³

Step-by-step explanation:

√m⁶=m⁶/²=m³

Answer:

[tex] {m}^{3} [/tex]

Step-by-step explanation:

[tex] \sqrt{ {m}^{6} } \\ \sqrt{m \times m \times m \times m \times m \times m} \\ {m \times m \times m} \\ = {m}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]\mathrm{D}[/tex]

Step-by-step explanation:

[tex]6x+5y=-2[/tex]

[tex]6(-2)+5(2)=-2[/tex]

[tex]-12+10=-2[/tex]

[tex]-2=-2[/tex]

[tex]\mathrm{Hence,\:it\:is\:true.}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

Answer:

Mini golf: $10.00, batting cage: $2.50

Step-by-step explanation:

We have that 5 mini golf + 4 batting = 60, and 3 mini golf + 6 batting = 45.

Let m=mini golf price, and b=batting cage price.

Then 5m+4b=60 and 3m+6b=45.

We can multiply the first equation by 3 and second by 5 to get

15m+12b=180

15m+30b=225

Subtract the two to get -18b=-45, so b=45/18=$2.50

Then m=$10 if you substitute b back in the first equation.

Hope that helped,

-sirswagger21

Answer:

mini golf10:00 batting cage 2:50

Step-by-step explanation:

Answer:

y=45x+75

Step-by-step explanation:

The x represents the months and the one time fee is added

Answer:

44

Step-by-step explanation:

First you have to make sure that you move everything from one side to the other and set the equation equal to zero. Then you have to simplify the equation as much as you can so you get:

x/14

7 * (x/14)

eventually you get

(x-22)/2 =0

from there you can solve for 44

Answer:

She needs to score 82

Step-by-step explanation:

Mean of five test scores = 82

Let the score she got in fifth test = x

[tex]\frac{84+93+91+60+x}{5}=82\\\\\frac{328+x}{5}=82\\\\328+x=82*5\\\\328+x=410\\\\x=410-328\\\\x=82[/tex]

Answer:

First number: 15

Second number: 21

Third number: 84

Step-by-step explanation:

Step-by-step explanation:

Actually, it isn't that hard. Remember the difference of squares? (a + b)(a - b) = a² - b² and in this case 9 is a and 4x is b so our answer is 81 - 16x².

Answer:

9 - 16x²

Step-by-step explanation:

(3+4x)(3-4x)= 3²- (4x)²= 9 - 16x²

Hey!!

{12,13,25} is not a Pythagorean triple

please see the attached picture for full solution

hope it helps

[tex]\frac{8}{25} = 0.32\\[/tex] when simplified into decimals.

This means that these two are equal. hope this helps!

8/25 is equal to 0.32

let me know if u need explanation

Answer:

Two zeroes

Step-by-step explanation:

A zero is where the graph meets the x-axis. If it hits the axis twice, there are two zeroes.

Answer:

30 square units

Step-by-step explanation:

i did this problem before.