Two numbers are randomly selected on a number line numbered 1 through 9. The same number can be chosen twice. What is the probability that both numbers are greater than 6?

Answers

Answer 1
Answer: p= 9/81 = 1/9 thats the real right answer 
Answer 2
Answer: (3)/(8+7+6+5+4+3+2+1)(no repitition)
=3/36
=1/12

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Factor out the GCF of (2x+1)

Find the six rational numbers between -4 and 5/4

Answers

Answer:

1,0,-1,-2,-3,-3/10

Step-by-step explanation:

5/4 = 1.25

Therefore 6 rational numbers between - 4 and 5/4:

1,0,-1,-2,-3,-3/10

1. 5 Burgers and 3 orders of fries cost $34. 4 Burgers and 4 orders of fries cost $32. How much does each burger and each order of fries cost?2. A pile of 44 coins is made up of pennies, nickels, and dimes. If the pile is worth $3.07 and there are twice as many nickels as pennies, how many of each coin does the pile contain?

Answers

Answer:

1.

a burger costs $5

an order of fries costs $3

2.

7 pennies

14 nickels

23 dimes

Step-by-step explanation:

x = price of a burger

y = price of a order of fries

5x + 3y = 34

4x + 4y = 32

=>

x + y = 8

x = 8-y

5×(8-y) + 3y = 34

40 - 5y + 3y = 34

-2y = -6

y = $3

x = 8 - 3 = $5

x = number of pennies

y = number of nickels

z = number of dimes

0.01×x + 0.05×y + 0.1×z = 3.07

y = 2x

x + y + z = 44

x + 2x + z = 44

3x + z = 44

z = 44 - 3x

0.01×x + 0.05×2x + 0.1×z = 3.07

0.11×x + 0.1×z = 3.07

0.11×x + 0.1×(44-3x) = 3.07

11x + 10×(44-3x) = 307

11x + 440 - 30x = 307

-19x = -133

x = 7

y = 2×7 = 14

z = 44 - 3×7 = 44 - 21 = 23

a moving truck charges $250 to rent a truck and $0.40 for each mile driven. mr.lee paid a total of $314. which equation can be used to find m, the number of miles he drove the moving truck?

Answers

(314 - 250) / 0.40 = m
^divided by
m = 160
m=160 I double checked

ind the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Step by Step Explanation:
First find the area of the circle
Area = πr^2
=3.14 x 16
50.24 cm^2
But here we need the area of the semicircle
so 50.24/2 = 25.12 cm^2

Now we find the area of the triangle
Area = 1/2bh
= 1/2 x 8 x 4
16 cm^2

The area of the shaded region = 25.12-16
= 9.12 cm^2

Hope this helps you!


The line AB has midpoint (2,5).
A has coordinates (1, 2).
Find the coordinates of B.

Answers

Answer:

X_m = (A_x +B_x)/(2)= (1+B_x)/(2)= 2

And we can solve for B_x and we got:

1+B_x = 4

B_x = 3

Y_m = (A_y +B_y)/(2)= (2+B_y)/(2)= 5

And we can solve for B_x and we got:

2+B_y = 10

B_y = 8

So then the coordinates for B are (3,8)

Step-by-step explanation:

For this case we know that the midpoint for the segment AB is (2,5)

And we know that the coordinates of A are (1,2)

We know that for a given segment the formulas in order to find the midpoint are given by:

X_m = (A_x +B_x)/(2)= (1+B_x)/(2)= 2

And we can solve for B_x and we got:

1+B_x = 4

B_x = 3

Y_m = (A_y +B_y)/(2)= (2+B_y)/(2)= 5

And we can solve for B_x and we got:

2+B_y = 10

B_y = 8

So then the coordinates for B are (3,8)

Final answer:

The coordinates of point B are (4, 8).

Explanation:

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M(xm, ym) of a line segment with endpoints A(x1, y1) and B(x2, y2) are given by:

xm = (x1 + x2) / 2

ym = (y1 + y2) / 2

In this case, we are given that the midpoint M is (2, 5) and A is (1, 2). We can substitute these values into the formula:

2 = (1 + x2) / 2

5 = (2 + y2) / 2

Now, we can solve for x2 and y2:

x2 = 4

y2 = 8

Therefore, the coordinates of point B are (4, 8).

Learn more about Coordinates

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Suppose you're given the formula q = 2o + 6p. If you know that p = o – 7, how could you rewrite the formula?

Answers

Answer:

q = 8o - 42

Step-by-step explanation:

Given:  The given formula is q = 2o + 6p.

p = o – 7

Now we have to plug in p = o - 7 in the given formula, we get

q = 2o + 6(o - 7)

Now we use the distributive property a(b-c) =ab - ac and expand.

q = 2o + 6o -6(7)

q = 2o +6o - 42

Here 2o and 6o are the like terms, we can add them

q = 8o - 42

q = 2o + 6p

p = o – 7

⇒ q = 2o + 6(o - 7) = 2o + 6o - 6 × 7 = 8o - 42

⇒ q = 8o - 42