Divide. Write the answer in simplest form 2 1/2 ÷ 8​

Answer:

a)  Red marble:  6/17

b) Green marble: 11/17

c) Purple marble : 0/17 = 0

d) a red or a green marble: 1

Step-by-step explanation:

Number of marbles: 17

Probability to pick one red marble: (# successes) / (# total) = 6/17

Probability to pick a green marble: (# successes) / (# total) = 11/17

Probability to pick a purple marble: (# successes) / (# total) = 0/17 = 0

Probability to pick a green marble or a red marble: Prob one green + prob one red = 11/17 + 6/17 = 17/17 = 1

Answer:

a. 2

Step-by-step explanation:

Area of a square is calculated as:

[tex]Area = Length * Length[/tex]

And the perimeter is

[tex]Perimeter = 4 * Length[/tex]

For (a):

[tex]Length = 2[/tex]

[tex]Area = 2 * 2 = 4[/tex]

[tex]Perimeter = 4 * 2 = 8[/tex]

For(b):

[tex]Length = 4[/tex]

[tex]Area = 4 * 4 = 16[/tex]

[tex]Perimeter = 4 * 4 = 16[/tex]

For (c):

[tex]Length=7.5[/tex]

[tex]Area = 7.5 * 7.5-56.25[/tex]

[tex]Perimeter = 4 * 7.5 = 30,[/tex]

For (d):

[tex]Length = 10[/tex]

[tex]Area = 10 * 10 = 100[/tex]

[tex]Perimeter = 4 * 10 = 40[/tex]

For (e):

[tex]Length = 125[/tex]

[tex]Area = 125 * 125 =15625[/tex]

[tex]Perimeter = 4 * 125 = 500[/tex]

From (a) to (e), only side length 2 has a higher perimeter.

Hence, it disproves the statement

Answer:

b)

The  equation of the line that passes through a pair of points

   [tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]

Step-by-step explanation:

 Explanation:-

Given points are ( 5 ,-2) and ( 3,-1)

slope of the line

                        [tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{-1-(-2)}{-3-(5)} = \frac{1}{-8}[/tex]

The  equation of the line that passes through a pair of points

              [tex]y - y_{1} = m ( x - x_{1} )[/tex]

           [tex]y - (-2) = \frac{-1}{8} ( x - (5) )[/tex]

          [tex]y = \frac{-1}{8} ( x ) +\frac{5}{8} -2[/tex]

        [tex]y = \frac{-1}{8} ( x ) +\frac{5-16}{8}[/tex]

      [tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]

Answer:

the answer is c becaus it id the longes tone

Step-by-step explanation:

Answer:

I believe the answer is B.

sorry if i'm wrong .-.

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Domain of a function is a set of x-values (input values).

Range of a function is a set of y-values (output values).

Since, input and output values of the function given in the graph vary from negative infinity to positive infinity

Domain of the function given in the graph will be,

(-∞, ∞)

And range of the function is,

(-∞, ∞)

Option (A) will be the correct option.

Answer:

y=3x-4

Step-by-step explanation:

Step-by-step explanation:

length of small block =10cm then volume=1000 there are 8 smaller block so volume =8× 1000=8000

so length of bigger block= cube root 8000...

Answer:

t should also be 82

Step-by-step explanation:

Because they are the same angle.

Sorry in the chance i am wrong. :D

Answer:

The restaurant ordered 28 gallons of milk.

Step-by-step explanation:

We have 4 quarts in 1 gallon:

[tex] \frac{1 G}{4 Q} [/tex]

Since the restaurant orders 112 quarts we have:

[tex] \frac{1 G}{4 Q}*112 Q = 28 G [/tex]              

Hence, the restaurant ordered 28 gallons of milk.

I hope it helps you!                                                                  

Answer:

- 56

Step-by-step explanation:

First solve the parenthesis,

(6 - 8) = 2

(9 - 10) = -1

(4 + 2) = 6

(6 + 3) = 9

The equation now looks like; (2)(-1) - (6)(9).

Now solve the parenthesis again,

(2 x -1) - (6 x 9)

2 x -1 = -2

6 x 9 = 54

Now, complete the last equation,

-2 - 54 = -56

-56 is the answer!

Hope this helps!!!

______________________________

 - We do this because we have to get rid of the parenthesis.

Equation at the end of Step 1:

 - We do this because we have to get rid of the parenthesis.

Equation at the end of Step 2:

 - We do this to get 1 number on each side left over, and the only way to do so is multiply the remaining numbers.

 - Also, the reason we got 2 instead of -2 is because when multiplying 2 negatives by each other the quotient then turns out to be positive.

Equation at the end of Step 3:

______________________________

The simplified form of the given expression is 8x+7

From the question, we are to write the simplified form of the given expression

The given expression is

3x+4+5x+3​

3x+5x+4+3

8x+7

Hence, the simplified form of the expression is 8x+7

Learn more on Simplifying an expression here: https://brainly.com/question/723406

SPJ2

Answer:

[tex]\dfrac{1}{3}(b-21)[/tex]

Step-by-step explanation:

We need to find an equivalent expression for [tex]\dfrac{1}{3}b-7[/tex]

The denominator of first fraction is 3 and that of other is 1.

[tex]\dfrac{1}{3}b-7\\\\=\dfrac{b-21}{3}[/tex]

or

[tex]=\dfrac{1}{3}(b-21)[/tex]

Hence, the equivalent expression is [tex]\dfrac{1}{3}(b-21)[/tex].

The answer Is 1/3(b-21)

Answer:

X < -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3x+2>11

-3x-2>11-2

-3x>9

Divide by -3 on both sides

X>-3

Answer:

$1601.57, $511,57 more intrest

Step-by-step explanation:

1,090*1.08^5

= 1601.5676

Round up to get 1601.57

Interest = Principal × rate × time/100

=> 1090×8×5

= 43,600/100

=> $436

Hope it helps!

Answer:

m + (m + 15) + (m + 2)

Step-by-step explanation:

Even thought we don't know the value of m, we can use expressions to represent it.

Hope this helps.

The required expression is m + (m + 15) + (m + 2) which represents the total number of miles Marla, Lawrence, and Jerry drove in all.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.

Let's represent Marla drove "m" miles.

Since Lawrence drove 15 more miles than Marla.

So, this means the expression m + 15

Then Jerry drove 2 more miles than Marla.

So, this means the expression m + 2

Now, the total number of miles = m + (m + 15) + (m + 2)

This expression represents the total number of miles Marla, Lawrence, and Jerry drove in all.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

Answer:

3 with a remainder of 15

Step-by-step explanation:

Long division

Answer:

Option D.

[tex]\mathbf{\sqrt{3}} +1}[/tex]

Step-by-step explanation:

The given integral is:

[tex]\int^d_c \int ^{h_2(y)}_{h_1(y)} f(x,y)\ dx \ dy[/tex]

The intersection curves enclosed by the surfaces:

z = 2 - x² - y² and z = 2x + 2y

This implies that:

[tex]2x +2y = 2 - x^2- y^2[/tex]

[tex](x^2 + 2x) +(y^2 + 2y) = 2 \\ \\ (x+1)^2 + (y + 1)^2 = 4 --- (1)[/tex]

We will realize that the curve of this intersection is a circle which is centered at (-1, -1) of the radius 2.

So, from equation (1)

[tex](x + 1)^2 = 4 - (y + 1)^2[/tex]

x + 1 = ±[tex]\sqrt{4 - (y + 1)^2}[/tex]

[tex]x = -1 \pm \sqrt{4 - (y+1)^2}[/tex]

Now,

[tex]h_2 (y) = -1 + \sqrt{4 - (y +1)^2}[/tex] and [tex]h_1 (y) = -1 - \sqrt{4 - (y +1)^2}[/tex]

[tex]h_2(0) = -1 + \sqrt{4-1}[/tex]

[tex]h_2(0) = -1 + \sqrt{3}[/tex],  and:

[tex]At \ \ (-1, -1); \\ \\ z = 2 - (-1)^2 - (-1)^2 \\ \\ z = 2 - 1 - 1 \\ \\ z = 0[/tex]

and

[tex]z = 2x + 2y \\ \\ z = 2(-1) + 2 (-1) \\ \\ z = -2 + (-2) \\ \\ z = -4[/tex]

The surface z = 2-x²-y² lies above z = 2x + 2y in the region of intersection

∴

[tex]f(x,y) = (2 - x^2 - y^2) - (2x + 2y) \\ \\ f(0,0) = 2 - 0 \\ \\ f(0,0) = 2[/tex]

So, h₂ (0) + f(0,0) = [tex]\sqrt{3}} - 1 + 2[/tex]

h₂ (0) + f(0,0) = [tex]\mathbf{\sqrt{3}} +1}[/tex]

Answer:

[tex]64a^{3} b^{6}[/tex]

Step-by-step explanation:

1) Distribute the exponent outside of the parentheses to the terms inside the parentheses. In this case, multiply the 3 outside the parentheses with the exponent of each of the terms inside:

[tex](4ab^{2} )^3[/tex]

[tex]4^{3}[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]

2) The variables are fine - you can't simplify them further. All you need to do now is multiply the [tex]4^{3}[/tex] out. Remember that it's kind of like asking, "what is 4 × 4 ×4?"

[tex]4[/tex] · [tex]4[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]

[tex]16[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]

[tex]64a^{3} b^{6}[/tex]

Therefore, [tex]64a^{3} b^{6}[/tex] is the answer.

Answer:

12

Step-by-step explanation:

Answer:

R = 12

Step-by-step explanation:

23=r +11

11+12=23

Answer:

Step-by-step explanation:

If we have the scale

2 cm: 21 km

8.6 cm will be

x=actual distance

x=(8.6*21)/2=90.30 km

Answer:

2) given

3) common side

4)angleuwx = angleuwv. ( right angles triangle )

5) angle x = angle y(side angle of isoceles triangle are equal)

Answer:

ln([tex]x^{9}[/tex] * [tex]y^{8}[/tex])

Step-by-step explanation:

property:  ln( A * B ) =  ln(A) + ln(B)  :)

ln([tex]x^{9}[/tex]) + ln([tex]y^{8}[/tex])

property:  ln([tex]A^{x}[/tex]) = xln(A)

9*ln(x) + 8*ln(y)   ;)

Answer:

x ≈ 8.6 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Trigonometry

Step-by-step explanation:

Step 1: Identify

Angle θ = 35°

Opposite Leg = x

Hypotenuse = 15

Step 2: Solve for x

Answer:

d

Step-by-step explanation:

[tex] - 12 = x + \frac{8}{ - 3} [/tex]

[tex] - 12 - ( \frac{8}{ - 3} ) = x[/tex]

[tex] - 12 - \frac{8}{3} = x[/tex]

[tex] \frac{ - 36}{3} - \frac{8}{3} = x[/tex]

[tex] \frac{ - 36 - 8}{3} = x[/tex]

[tex] \frac{44}{3} = x[/tex]

Answer:

Are you okay?

Step-by-step explanation:

I am here to talk whenever :)

9514 1404 393

Explanation:

The standard form of a quadratic function and the formula for finding its zeros are shown here:

  [tex]f(x)=ax^2+bx+c \qquad\text{standard form of a quadratic function}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \qquad\text{formula for finding $x$ such that $f(x)=0$}[/tex]