Richard rolls a fair dice 420 times.
How many times would Richard expect to roll a four?

Answer:

8a+40

Step-by-step explanation:

8(a+5)

Distribute the (8) by multiplying it by the (a) and the (5).

Answer:

I think it's 72

Step-by-step explanation:

I hade add them

Answer:

to find V in this equation

4 = -6 + V

V = 10

hope it helps

Answer:

V would have to be equal to 10

Step-by-step explanation:

this is because you need something greater than 6 to get back to zero and then you need something to give you four more, so six plus four is equal to ten

Answer:

x = 3

Step-by-step explanation:

arc KP = 50 degrees

arc KRQ = 2(110) = 220 degrees

arc 30x = 360 - 220 - 50 = 90 degrees

30x = 90

x = 3

Answer:

Step-by-step explanation:

Arianna will always be 3 years older than Javier no matter how old he gets.

The table is given below.

The equation that relates the age of Arianna y to the age of Javier x is

y = x + 3

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

We can use the given information to complete the table as follows:

Javier(x) Arianna (y)

2          5

3          6

8          11

20          23

Now,

The equation that relates the age of Arianna, y, to the age of Javier, x.

We have,

y = mx + b, where m is the slope and b is the y-intercept.

We can use the first two points (2, 5) and (3, 6) to find the slope.

m = (6 - 5)/(3 - 2)

m = 1

Now,

The y-intercept,

(2, 5) = (x, y)

y = mx + b

5 = 1(2) + b

b = 3

Therefore,

The equation that relates the age of Arianna y to the age of Javier x is

y = x + 3

Learn more about equation of a line here:

https://brainly.com/question/23087740

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Answer:

im pretty sure it  £8.01

Step-by-step explanation:

Answer:

8.1

Step-by-step explanation:

[tex]\frac{3.60}{4} = 0.9[/tex] `

So the price of one pair of socks is 0.9.

[tex]9 * 0.9 = 8.1[/tex]

This is your final answer.

Answer: B. 5

Hope this helps! :)

Answer:

Step-by-step explanation:

they are asking about the exponential

b/c it has a 3 in the exponent, it's a cubic   and because it has two terms you can call it a binomial

Answer:

Pulling out the like terms

Step-by-step explanation:

Answer: it’s 1.25 for the first and 1.28 for the second so the first of 12 bottles 15$ Is the better value

Step-by-step explanation:

Answer:

1.48

Step-by-step explanation:

my calculator said sqrt(2.2)=1.48

Answer:

2nd

Step-by-step explanation:

the highest exponent value is the degree.

if I had [tex]x^{6} x^{2} x^{-7}[/tex] , the degree would be 6.

Answer:

of a slope on a graph? if so I have the solution

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

add the absolute value of -14 and 18

Answer: 37ft^2

Step-by-step explanation:

Create two separate figures. A full square 3x3 and a rectangle 7x4.

The 7ft line on the right minus 3 ft (because we are cutting out that section of the figure) = 4ft

Area of 3x3 square = 3^2 = 9ft^2

Area of 7x4 rectangle = 7x4 = 28ft^2

28+9= 37ft^2

Answer:

Both the parts of this question require the use of the "Intersecting Secant-Tangent Theorem".

Part A

The definition of the Intersecting Secant-Tangent Theorem is:

"If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment."

This, when applied to our case becomes, "The length of the secant RT, times its external segment, ST, equals the square of the tangent segment TU".

Mathematically, it can be written as:

Part B

It is given that RT = 9 in. and ST = 4 in. Thus, it is definitely possible to find the value of the length TU and it can be found using the Intersecting Secant-Tangent Theorem as:

Thus,  

Thus the length of TU=6 inches

Answer:

x > [tex]\frac{14}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5x}{2}[/tex] > 7 ( multiply both sides by 2 to clear the fraction )

5x > 14 ( divide both sides by 5 )

x > [tex]\frac{14}{5}[/tex]

Answer: D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Calculate the lengths of JK and JL using the distance formula

d  = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = J(2, 1) and (x₂, y₂ ) = K(- 4, 2)

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

     =  [tex]\sqrt{(-6)^2+1^2}[/tex]

     = [tex]\sqrt{36+1}[/tex]

     = [tex]\sqrt{37}[/tex] ≈ 6.1 units

Repeat with (x₁, y₁ ) = J(2, 1) and (x₂, y₂ ) = L(7, 4)

JL = [tex]\sqrt{(7-2)^2+(4-1)^2}[/tex]

    = [tex]\sqrt{5^2+3^2}[/tex]

    = [tex]\sqrt{25+9}[/tex]

    = [tex]\sqrt{34}[/tex] ≈ 5.8 units

Thus JK is longer than JL →  A

Answer:

625

Step-by-step explanation:

Let two number be x and (50-x).

The product of numbers be x(50-x).

P = 50x-x²

For maximizing the product,

[tex]\dfrac{dP}{dx}=0\\\\\dfrac{d}{dx}(50x-x^2)=0\\\\50-2x=0\\\\50=2x\\\\x=25[/tex]

So, the maximum product, P = 50(25)-(25)²

P = 625

Hence, the maximum value of the product of these two numbers is 625.

Answer:

Step-by-step explanation:

The difference in interest amount is:

Jason received $40 more than Alistair

Answer:

50

Step-by-step explanation:

since all angles add up to 180

and since this is a right triangle the square in the corner is 90 degrees

so 40+90+x=180

130+x=180

subtract 130 from both sides

130-130+x=180-130

x=50

Hope that helps :)

Answer:

x+90

90/6=15

15=15

Step-by-step explanation:

Answer:

y = 10x + 75 If not then

X = 10y + 75

Answer:

Step-by-step explanation:

As it is said that they spent more than $15 then its inequality is

m > 15