Fiona rolls a fair dice 144 times.
How many times would Fiona expect to roll an even number?

The unit rate of the car that travels 5 2/5 km in 2 3/4 mins is: 1.96 km/min.

Unit rate can be defined as the ratio of one quantity in comparison to another.

Distance travelled by a car = 5 2/5 km = 5.4 km

Time travelled = 2 3/4 mins = 2.75 mins

Unit rate in km/min = 5.4/2.75

Unit rate in km/min = 1.96 km/min.

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Answer:

First, we apply the Distributive property and then we combine like terms,

To combine like terms, we add or subtract.

[tex]-(2x +y) - 2 ( -x - y)[/tex]

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

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

[tex]=0+y[/tex]

[tex]=y[/tex]

OAmalOHopeO

Answer:

y is the simplest result here.

Step-by-step explanation:

Perform the indicated multiplication as a first step towards simplifying this expression:

-2x - y + 2x + 2y

-2x and 2x cancel each other out, leaving 2y - y, or just y

Answer:

x²+ x = 0

x ( x +1 ) = 0

x = -1

x³-25x=0

x ( x² - 25 ) = 0

x² = 25

x = 5

x²=4x

x² - 4x = 0

x ( x- 4 ) = 0

x = 4

4x²-4x=1

4x²-4x - 1 = 0

4 x² - 2x - 2x - 1 = 0

2x ( 2x - 1 ) - 1 ( 2x- 1 ) = 0

2x- 1 ) ² = 0

2x = 1

x = 1/ 2

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Answer:

I believe it is because he has exhausted all the different ways to use the 18 m he has. Look below.

Step-by-step explanation:

He has 18 m of wood and he has done:

8+8=16 1+1=2 16+2=18

7+7=14 2+2=4 14+4=18

6+6=12 3+3=6 12+6=18

5+5=10 4+4=8 10+8=18

So he has no more ways to use the 18 m of wood and has exhauseted all the ways.

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Answer:

[tex] \frac{5(x + 6)}{5} = \frac{50}{5} \\ x + 6 = 10 \\ x = 10 - 6 \\ x = 4[/tex]

Answer:

x=4

Step-by-step explanation:

5(x+6)=50

First expand the brackets:

5 times x equals 5x

5 times 6 equals 30

Form an equation:

5x+30=50

Do inverse operations to "undo" the equation:

50-30=20

5x=20

20÷5=4 (We divide 20 by 5 because when a number is next to a letter, it means times so we do the inverse and divide).

x=4

We can check our answer by substituting in 4:

5(4+6)

Do brackets first:

4+6=10

5(10)

Then as the 5 is next to the bracket on the outside we times everything on the inside by 5:

5 times 10 equals 50

Hope this helps :)

Answer:-24(x-3) = -24x (-24)(-3)

Step-by-step explanation:

Answer:

eat my hand where the pic

Step-by-step explanation:

yeah

Answer:

B

Step-by-step explanation:

the radii have to be cubed cause a volume is cubed

3^3:5^3

27:125

I hope this helps and sorry if it's wrong

Answer:

2.1

Step-by-step explanation:

Angle Q of the triangle, SRQ is 47. Let find Length of RQ of SRQ.

If we apply tangent ratio, we get

[tex]x = 5.9[/tex]

Now let find the measure of RP of Triangle SRP.

If we apply tangent ratio, we get

[tex]x = 3.8[/tex]

We can find PQ by Subtraction Poustulate.

[tex]5.9 - 3.8 = 2.1[/tex]

so

Pq=21

Answer:

PQ ≈ 2 cm

Step-by-step explanation:

 We know that SRQ is 47.  

Next we apply the tangent ratio. We get x = 5.9  

Now we find the measure of RP of the triangle SRP.  

If we apply tangent ratio, we get x = 3.8    

We can find PQ with this:

5.9 - 3.8 = 2.1 ≈ 2 cm

Answer:

The 80th term is 482

Step-by-step explanation:

8,14,20,26

This is an arithmetic sequence

Find the common difference by taking the second term and subtracting the first term

14-8 = 6

We are adding 6 each time

The formula for an arithmetic sequence is

an =a1+d(n-1)  where a1 is the first term, d is the common difference and n is the term we are looking for

a80 = 8+6(80-1)

       = 8 + 6*79

     = 8+474

    = 482

The 80th term is 482

Answer: 482

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{Rule:} \\\\\boxed{ \huge \boxed{a_n=a_1+(n-1)d }} } \ \ \\\\\\ 8 \underbrace{}_6 14 \underbrace{}_620\underbrace{}_626 ......a_{80}=? \\\\\\a_1=8 \ \ ; \ \ d=6 \\\\\\ a_{80}=8+(80-1)\cdot 6=480+8-6=482 \\\\\\\\ Answer: \boxed{\boldsymbol{ a_{80}=482}}[/tex]

Answer:

No symmetry

Step-by-step explanation:

The shape cannot be folded over any line to be equally matched up to the other side

Because all the angles are congruent (the same), this is an equilateral triangle. All equilateral triangles have congruent angles and congruent sides, so all sides has to be 14.

Answer:

SAS

43ft

Step-by-step explanation:

We know that two sides are equal

PQ = ST and QR = TU and the angle between them is equal Q = T

We can use the SAS (side angle side)

Since the triangles are congruent

PR = SU

6y+5 = 8y

Subtract 6y from each side

6y+5-6y = 8y-6y

5 = 2y

Divide by 2

5/2 = y

2.5 = y

PR = ST = 8y = 8(2.5) =20

The perimeter is 9+14+20 = 43

Answer:

B. =35ft

Step-by-step explanation:

The perimeter of a right angled triangle is a+b+c

which is 9+4+6y+5 =90

collect like terms

9+4+5+6y=90

18 + 6y = 90

6y = 90 - 18

6y= 72

divide both sides by 6

6y/6 = 72/6

y = 12

so therefore, the perimeter of ∆PQR is

9 + 12 + 14

= 35ft

Answer:

Hello,

Step-by-step explanation:

[tex]\dfrac{x^{\frac{5}{6}} }{x^{\frac{1}{6}} } \\\\=x^{\frac{5}{6} -\frac{1}{6} }\\\\=x^{\frac{4}{6} }\\\\=x^{\frac{2}{3} }\\\\=\sqrt[3]{x^2}[/tex]

Hi there!

Look the picture for your answer.

Hope it helps!

Answer:

210

Step-by-step explanation:

In a normal distribtuion mean=mode=median

so 210=median

Answer: 5sqrt2, 10sqrt2/2

Step-by-step explanation:

The isosceles triangle, or 45-45-90 rule states that the hypotenuse is x × square root of 2.

Divide the hypotenuse, 10, by sqrt 2 to get 5sqrt2

However , if you're looking to keep it in fraction form, you will need to rationalize the denominator. Multiply the numerator and denominator to get the fraction, 10sqrt2/2

Answer:

J'(3 , 5)

Step-by-step explanation:

Rule for reflection over x-axis,

Original point(x , y)  After reflection (x, -y)

After reflection, there will be no change in the x-coordinate and y - coordinate will the change the sign

So, J(3,-5)    After reflection J'(3,5)

The required area of the figure is 5 square yards.

Area of rectangle is defined as product of the length and width.

Suppose a rectangle and a square has been removed from rectangle.

Length of rectangle = 3  yards

Width of rectangle 2 yards

Length of square = 1 yards

Area of rectangle = 3 × 2 = 6 square yards

Area of square = 1 × 1 = 1 square yards

The required area of the figure = area of rectangle - area of square

Substitute the values

The required area of the figure = 6 - 1

The required area of the figure = 5 square yards

Hence, the required area of the figure is 5 square yards.

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Answer:

x = 3

Step-by-step explanation:

All the angles of a square are 90°

The diagonals bisect the angles , then

5x² = 45 ( divide both sides by 5 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Answer:

b

Step-by-step explanation:

cuz u add them all

Answer:

C is correct

Step-by-step explanation:

a is wrong because: 1*-1*-1*-1 =1

b) 1*1*1*1 =1

d) 1*-1*1*1 =1

only c 1*-1*-1*1 =-1 at the end of polynomial

Answer:

4 nickels

12 dimes

9 quarters

Step-by-step explanation:

x = number of nickels

y = number of dimes

z = number if quarters

0.05×x + 0.1×y + 0.25×z = 3.65

y = 3x

z = 2x + 1

0.05x + 0.1×3x + 0.25×(2x + 1) = 3.65

5x + 30x + 25×(2x + 1) = 365

35x + 50x + 25 = 365

85x = 340

x = 340/85 = 4

y = 3×4 = 12

z = 2×4 + 1 = 9

Answer:

D 14

Step-by-step explanation:

Let x be the number

2(x-4) = 20

Divide each side by 2

2/2(x-4) = 20/2

x-4 = 10

Add 4 to each side

x-4+4 = 10+4

x = 14

Answer:

The number is 14

Step-by-step explanation:

Let's call this unknown number of x:

2×(x – 4) = 20

2x – 8 = 20

2x = 20 + 8

2x = 28

x = 28/2

x = 14

Answer:

8.2 units

Step-by-step explanation:

For radioactive decay, the amount should decrease over time. Given the function:

f(x) = 10(0.98[tex])^{x}[/tex]

We substitute the time of x = 10 hours:

f(10) =  10(0.98[tex])^{10}[/tex]

f(10) = 8.17

Round 8.17 to 8.2.

Therefore 8.2 units will remain after 10 hours.

Answer:

y = 0.1491x + 0.7556

R² = 0.6943

r^2 at .69 ≅ .7 is somewhat strong

y = 0.1491(15) + 0.7556

GPA= 2.2365

Step-by-step explanation: