Claim 1: A dilation of scale factor 13 with the origin as the center of dilation takes line p to itself.

2. alternate angles I think

3. vertically opposite angles

4. Interior angles

Given:

Two dice are rolled together.

Total number of possible outcomes.

To find:

The list of total possible outcomes.

The probability of getting a sum of 11 in these outcomes.

The probability of getting a sum less than or equal to 4.

The probability of getting a sum of 13 or more.

Solution:

If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3

The probability of getting a sum of 11 in these outcomes is

[tex]P(\text{sum=11})=\dfrac{3}{36}[/tex]

[tex]P(\text{sum=11})=\dfrac{1}{12}[/tex]

Therefore, the probability of getting a sum of 11 in these outcomes is [tex]\dfrac{1}{12}[/tex].

Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6

The probability of getting a sum less than or equal to 4 is

[tex]P({sum\leq 4})=\dfrac{6}{36}[/tex]

[tex]P({sum\leq 4})=\dfrac{1}{6}[/tex]

Therefore, the probability of getting a sum less than or equal to 4 is [tex]\dfrac{1}{6}[/tex].

Sum of 13 or more = empty set because maximum sum is 12.

The probability of getting a sum of 13 or more is

[tex]P(sum\geq 13)=\dfrac{0}{36}[/tex]

[tex]P({sum\geq 13})=0[/tex]

Therefore, the probability of getting a sum of 13 or more is 0.

Answer:

[tex]y=\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Find the slope of the line first using the slope formula:

Substitute the two given points into this formula.

Now that you have a slope and a point that the line passes through, you can use the point-slope formula to find the equation of the line.

Point-slope formula:

Substitute m = 1/2 for the slope and one of the points; I'm going to use (2, 5).

Simplify the equation so it's easier to read.

Distribute 1/2 inside the parentheses.

Add 5 both sides of the equation.

Answer:

The slope is the change in y over the change in x.

(7-5) / (6-2) = 2 / 4 = 1 / 2

In y = mx + b, we know y, m, and x. Now solve for b:

Let's use the point (2, 5).

5 = (1/2)(2) + b

5= 1 + b

b = 4

Now put it together:

y = (1/2)x + 4

Step-by-step explanation:

Step-by-step explanation:

D. no such line exits

you have to know the gradient of the line given and there is no gradient given

Answer:

-7

Step-by-step explanation:

Step-by-step explanation:

Si una caja contiene 448 cajas y debe acomodarse en tres cajas más pequeñas, si la primera contiene 1/8 del total, entonces el número de cajas en la primera será:

[tex]= \frac{1}{8}\times 448\\ = \frac{448}{8}\\ = \frac{8\times56}{8}\\ = 56[/tex]

Por lo tanto, la primera caja contiene 56 cajas más pequeñas.

Si el segundo contiene 3/8 del total, entonces el número de casillas en el segundo será:

[tex]= \frac{3}{8}\times 448\\ = \frac{3\times448}{8}\\ = \frac{8\times 3 \times 56}{8}\\ = 3 \times56\\= 168[/tex]

Por lo tanto, la segunda caja contiene 168 cajas más pequeñas.

Si el tercero contiene 4/8 del total, entonces el número de casillas en el tercero será:

[tex]= \frac{4}{8}\times 448\\ = \frac{1}{2} \times 448\\ = 224[/tex]

Por lo tanto, la tercera caja contiene 224 cajas más pequeñas.

La cantidad que quede en la casilla original se expresará como

= 448- (56 + 168 + 224)

= 448-448

= 0

Por lo tanto, no quedó ninguno en la caja original.

Step-by-step explanation:

Mark each mark by 15 mins add an extra tick at the time section

the corner before the first 15 min mark make a tilted line to 15 mins and 30,000 feet draw a straight line till 2 hours and 15 mins draw titled down to 2 hours and 30 mins

Quantity of Tanzanian blend used in my secret coffee blend = 40 pounds

Quantity of Queen city blend used in my secret coffee blend = 8 pounds

The ratio of Tanzanian blend to Queen city blend in my coffee blend = 40 : 8

Quantity of Tanzanian blend with me = 20 pounds

Quantity of Queen city bend needed to make my secret coffee blend =

Let the quantity of Queen city blend I will need be x .

[tex] \frac{40}{8} = \frac{20}{x} [/tex]

[tex]8 \times 20 = 40 \times x[/tex]

[tex]160 = 40x[/tex]

[tex]x = \frac{160}{40} [/tex]

[tex]x = 4[/tex]

Therefore , I need to mix 4 pounds of queen city blend with my 20 pounds of Tanzanian blend to get my secret coffee blend .

4 pounds of  the Queen City coffee should you mix with it to get your secret blend.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

Yesterday If we mixed 40 pounds of the Tanzanian blend with 8 pounds of the Queen City blend.

In the same proportion, today there is 20 pounds of the Tanzanian coffee left in stock.

We need to calculate how many pounds of the Queen City coffee should you mix with it to get your secret blend.

Let x be the pounds of the Queen City coffee should you mix with it

Let us form a equation

40/8=20/x

Apply cross multiplication

40x=160

Divide both sides by 40

x=4

Hence 4 pounds of  the Queen City coffee should you mix with it to

get your secret blend.

To learn more on ratios click:

https://brainly.com/question/1504221

#SPJ2

Answer:

x > 7

Step-by-step explanation:

6x - 12 > 30

add 12 to 30

6x > 42

divide 6 to 42

x > 7

Not sure if this is what you needed but hope this helped!!!

Answer:

A

Step-by-step explanation:

The three represents the amount it costs for each hour parked, and is continuous, which is a rate.

Answer:

(-8,0) (0,-4) (4,-6)

Step-by-step explanation:

Answer:

m=d*v

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

It is 4 because there are 4 pea pods with 3 peas in each pod.

Answer:

2

Step-by-step explanation:

This question is Incomplete

Complete Question

Rectangle ABCD has a length represented by the expression 2x – 3, and a width represented by the expression 4x + 5. Rectangle PQRS has a length represented by the expression x – 1, and a width represented by the expression 3x + 2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS?

a) 2x + 1

b) 4x + 2

c) 4x + 6

d) 20x + 6

Answer:

b) 4x + 2

Step-by-step explanation:

The Formula for the Perimeter of a Rectangle = 2(L + W)

= 2L + 2W

Hence:

For rectangle ABCD

Length = 2x - 3

Width = 4x + 5

Hence, the Perimeter is :

P = 2L + 2W

P = 2(2x - 3) + 2(4x + 5)

P = 4x - 6 + 8x + 10

P = 4x + 8x -6 + 10

P = 12x + 4

For Rectangle PQRS

Length = x - 1

Width = 3x + 2

Hence, the Perimeter is :

P = 2L + 2W

P = 2(x - 1) + 2(3x + 2)

P = 2x - 2 + 6x + 4

P = 2x + 6x - 2 + 4

P = 8x + 2

The Expression that can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS is

Perimeter of Rectangle ABCD - Perimeter of Rectangle PQRS

(12x + 4) - (8x + 2)

12x + 4 - 8x - 2

12x - 8x +4 -2

4x + 2

Option b) 4x + 2 is the correct option.

Answer:

b(1)=-3

b(n)=b(n−1)+2

Step-by-step explanation:

Given the sequence −3,−1,1,3,...

We can infer that the first number of the sequence is -3, and the difference is +2

b(1)=first number of the sequence

b(n)=b(n−1) diffrence

If we fill this in, we get:

b(1)=-3

b(n)=b(n−1)+2

Answer: In the problem 3.8÷0.7, the number 3.8 is the equivalent the number 0.7 is the divisor. Equivalent, divisor. Have a great day!

Answer:

about 1854.55 miles (rounded to the hundredth)

Step-by-step explanation:

1.

[tex] \frac{44}{100} = \frac{816}{x} [/tex]

The first fraction represent the percentage of the distance.

The second one represent the number of 816 miles out of x

2. 100 × 816 = 44 × x

3. You'll get 81,600 = 44x

4. and then you divided both side by 44 to solve for x

Answer:

Step-by-step explanation:

let us model the cost

let the cost be y and the number of movie channel be x

for 3 comcast

y=50+5x-----1

and for Xfinity

y=41+6.5x-------2

to solve for the number of movie channel so that the two (3 comcast and Xfinity) will pay the same, we need to equate 1 and 2

50+5x=41+6.5x

50-41=6.5x-5x

9=0.5x

x=9/0.5

x=18

Answer:

he make $100 a week

D Chauncy is paid $100 for his work each week

Answer:

Chauncy is paid $100 for his work each week

Step-by-step explanation:

Answer:

E. 120

Step-by-step explanation:

A. 40

B. 72

C. 80

D. 100

E. 120

Let

x = the intended distance

y = length of the pool

She covers one fifth of her intended distance

Distance covered = 1/5 of x

= x/5

After swimming six more lengths of the pool she had covered one quarter of her intended distance

x/5 + 6y = 1/4 of x

x/5 + 6y = x/4

Collect like terms

6y = x/4 - x/5

6y = 5x - 4x/20

6y = x/20

x = 20 * 6y

= 120y

x = 120y

The intended distance Rebecca wants to cover = 120

Answer:

5 months

Step-by-step explanation:

Cindy deposited $350 into a savings account

The acct balance remains above $200

We are required to find the number of months that it will take to $30 a month

Let y represent the number of months

y × 30 < 350-200

30y < 150

Divide both sides by the coefficient of y which is 30

30y/30 < 150/30

y < 5

Hence the number of months required is 5 months

Answer:

Step-by-step explanation:

a. If you want a return of 17 percent, how much will you pay for the stock?

The price of the stock can be calculated as:

= dividend next year/(required return - growth rate)

= 4.4/(17% - 5%)

= 4.4/12%

= 4.4/0.12

= 36.67

b. If you want a return of 10 percent, how much will you pay for the stock?

At 10%

= 4.4/(10% - 5%)

= 4.4/5%

= 4.4/0.05

= 88

Answer:

x-int (6.2, 0)

y-int (0, 3.1)

Step-by-step explanation:

x-intercept is found when y = 0.

y-intercept is found when x = 0.

Step 1: Define equation

2x + 4y = 12.4

Step 2: Find x-intercept

Substitute y for 0.

2x + 4(0) = 12.4

2x = 12.4

x = 6.2

(6.2, 0)

Step 3: Find y-intercept

Substitute x for 0.

2(0) + 4y = 12.4

4y = 12.4

y = 3.1

(0, 3.1)

Answer:

A.  $29,045.68

B.  $28,981.85

C. Compound daily applies interest everyday over a period of 365 days in a year. Compound annually only applies the 3% interest once a year.

Step-by-step explanation:

3% compounded daily:

   A = P(1 + r/n)^nt

      = 25000(1 + [tex]\frac{.03}{365}[/tex])^365(5)

      = 25000(1.00008219)¹⁸²⁵

      = 25000(1.161827)

      = 29045.6770

3% compounded annually:

   A = P(1 + r/n)^nt

      = 25000(1 + [tex]\frac{.03}{1}[/tex])^1(5)

      = 25000(1.03)⁵

      = 25000(1.159274)

      = 28981.8518

Answer:

-323

Step-by-step explanation:

y varies x

make k the unknown

y=kx

-85= 5k

:• k = -17

when x= 19

we can say...

y= -17(19)

y = -323 ✓