If standard 6-sided dice are placed side-by-side touching in a single row on a table, only some of the faces will show. With 3 dice in a row, 11 faces are visible. If there were 2010 dice arranged in such a way, how many face could be seen?

Answer:

square root of 9/64 is a rational number

Step-by-step explanation:

square root of 9/64 =0.046875

Any number which when written as a decimal form which terminates (that is ends with only 0 -value digits following the last digit) or any decimal form number that ends with a sequence which repeats indefinitely is rational.

Therefore square root of 9/64 is a rational number

Hope you got this

If you have any questions just ask me.

Answer:

x = 4/7

Step-by-step explanation:

x^3 = 64/ 343 // - 64/ 343

x^3 - ( 64/ 343 ) = 0

x^3 - 64 / 343 = 0

1*x^3 = 64/ 343 // : 1

x^3 = 64/ 343

x^3 = 64/ 343 // ^ 1/3

x = 4/ 7

Answer:b

Step-by-step explanation:

The area of the quadrilateral with the given coordinates is 27 square units.

The coordinates of the quadrilateral are A(0, 4), B(5, 2), C(3, -3) and D(-2, -1).

We need to find the area of the quadrilateral with the given coordinates.

The formula to find the area of the quadrilateral with coordinates ( x₀, y₀ ), ( x₁, y₁ ), ( x₂, y₂ ), ( x₃, y₃ ) is (1/2) × ( x₀y₁ - x₁y₀ + x₁y₂ - x₂y₁ + x₂y₃ - x₃y₂ + x₃y₀ - x₀y₃ ).

Now, Area=1/2×(0×2-5×4+5×(-3)-3×2+3×(-1)-(-2)×(-3)+(-2)×4-0×(-1))

=1/2×|(-20-15-6-3-6-8)|=27 square units.

Therefore, the area of the quadrilateral with the given coordinates is 27 square units.

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All they're asking for are your goals.

The best thing to put for 8. would be:

"I'd like to get better at my math so I don't have so much trouble and would have to ask. I'd like to be able to figure my work out myself!" Or something.

9?.

all you need to put (maybe) would be:

"Yes, I usually work on my homework at [the time you usually start your homework], and I usually work alone."

or,

"No, I usually work on my homework when I feel like it, or before I go to bed, and my parent (or guardian, sibling, friend), help me with some of the questions."

I hope that helped.

Answer:

r = 9

Step-by-step explanation:

These are vertical angles, therefore, the measurements is the same. Set the two measurements equal to each other:

7r - 5 = 6r + 4

Isolate the variable, r. Note the equal sign, what you do to one side, you do to the other. Add 5 and subtract 6r from both sides of the equation:

7r (-6r) - 5 (+5) = 6r (-6r) + 4 (+5)

7r - 6r = 4 + 5

Simplify:

7r - 6r = 4 + 5

r = 9

9 is your value for r.

~

Answer:

Cost of 25 pens = Rs 250

Cost of 1 pens = Rs 250/25

= Rs 10

Cost of 30 pens = Rs 30×10

=Rs 300

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The point is located 1/8 of the distance from 0 to 1. When the space between 0 and 1 is divided into 8 equal parts, 1/8 is located after the first space, nearest zero.

Answer:

Graph copy is needed..

Step-by-step explanation:

Photo cannot be pinned*

9514 1404 393

Answer:

  $2089

Step-by-step explanation:

One way to do this rounding is to add $0.50, then drop all of the fractional digits.

  $2088.523125 + 0.50 = $2089.023125

Dropping all of the digits right of the decimal point gives $2089.

Answer:

-7/19

Step-by-step explanation:

First simplify the fractions. 18/-57= -6/19.

-6/19x7/6=-42/114

-42/114=-7/19

I hope this helps! I also put it into an online calculator to make sure it is right and it is!

Answer: A

Step-by-step explanation:

-5+-5+-5+-5=-20

-4+-4+-4+-4=-16

5+5+5+5+5=25

4+4+4+4+4=20

The questions asks for -5 x 4 = -20

Answer:

22, 23, 24, and 25.

Step-by-step explanation:

The sum of four consecutive integers is 94, and we want to determine the integers.

Let x be the first integer. Since they are consecutive, the second will be (x + 1), the third (x + 2), and the fourth (x + 3).

They sum to 94. Hence:

[tex]\displaystyle x + (x+1) + (x+2) + (x+3) = 94[/tex]

Solve for x. Combine like terms:

[tex]4x + 6= 94[/tex]

Subtract:

[tex]\displaystyle 4x = 88[/tex]

And divide. Hence:

[tex]\displaystyle x = 22[/tex]

Therefore, the first term is 22.

Then the four integers are 22, 23, 24, and 25.

Answer:

Step-by-step explanation:

4(v+1)+v=5(v-1)+9

distribute

4v+4+v

which is

5v+4=5v-5+9

5v+4=5v+4

No solution is the answer

Answer:

= -2

Step-by-step explanation:

6t + 3 (1 - 2t) - 5

= 6t + 3 - 6t - 5

6t and -6t cross out as they equal 0, so we are left with only +3 and -5

+3 - 5 = -2

= -2 ---> final solution

Answer:

n = 27

Step-by-step explanation:

(2n + 9) / 9 = 9

multiply both sides by 9

3n = 81

/3      /3

-------------

n = 27

Answer:

n = 27

Step-by-step explanation:

(2n + n)÷9 = 9

multiply both side by 9

(2n + n) = 81

3n = 81

Divide both sides by 3

3n/3 = 81/3

n = 27

Step-by-step explanation:

it is shown in the above process.

hope you understand

Answer:

132

Step-by-step explanation:

A linear pair adds to 180

<ABC + <CBD = 180

<ABC + 48 = 180

<ABC = 180-48

<ABC =132

Answer:

answer is Afridi.AB=CB

[tex]6\cdot\square=9\\\\\square=9:6\\\\\square=\frac{9}{6}\rightarrow\square=\frac{3}{2} \ (\text{devide 9 and 6 by 3})[/tex]

Answer:

w = -13

Step-by-step explanation:

4w - 41 = 7(w-2)

Open the bracket

4w -41 = 7w -14

Collect like terms

4w - 7w = 41 - 14

-3w = 27.

Divide both side by -3

w = -9

Answer: w = 5

Step-by-step explanation:

4w-41=-7w+14

4w+7w=14+41

11w=55

W = 55/11

W = 5

Answer:

18-2x

Step-by-step explanation:

distribute the 2 in 2(9-x) opposite of x is -x

Step-by-step explanation:

it's answer is I think 5000

If Carmens age is x and Antoine is 5 1/4 years older than Carmen

then Antoine's age is x + 5 1/4

Katy is 11 1/2 years older than Carmen

hence, Katy's age is x + 11 1/2

its visible that Katy is older than Antoine since (x + 11 1/2 ) > (x + 5 1/4)

difference between Antoine's and Katy's age can be found out by subtracting Antoine's age from Katy's age

Difference = Katy's age - Antoine's age

= x + 11 1/2 - (x + 5 1/4)

= x + 11 1/2 - x - 5 1/4

= 6 (1/2 - 1/4)

= 6 1/4

6 1/4 rounded off to the nearest year is 6 years.

Therefore difference is 6 years.

Katy is 6 years older than Antoine

Answer: 14x+6

Step-by-step explanation:

by using distribution from the ”2” outside the parenthesis, you simply do

2x7= 14 (add the variable x) so 14x

then you do 2x3= 6

The value of 3 in the number 18.93 is 0.03.

In the number 18.93, the digit 3 has a place value of hundredths. Therefore, its value is 0.03.

To break it down:

The digit 3 is in the hundredths place.

The digit 9 is in the tenths place, representing 9 tenths or 0.9.

The digit 8 is in the units place, representing a whole.

The digit 1 is in the tens place representing 10

Adding up these values, we get:

10.00 + 8.00 + 0.90 + 0.03 = 18.93

So, the value of 3 in 18.93 is 0.03.

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Answer:

Step-by-step explanation:

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