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Strike441 [17]
3 years ago
13

Two times the difference of a number and 8 is equal to 7

Mathematics
1 answer:
maks197457 [2]3 years ago
5 0
2(x-8)=7

Distribute on the left side
2x-16=7

Add 16 to both sides
2x=23

Divide both sides by 2
x=11.5

Final answer: The number is 11.5
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4.) A bag contains 10 red marbles and 5 blue marbles. You randomly select 3 marbles from the bag. What is
sesenic [268]

Answer:

a) 1/27

b) 2/91

Step-by-step explanation:

A bag contains 10 red marbles and 5 blue marbles (15 marbles in total). You randomly select 3 marbles from the bag.

a) You replace each marble before selecting the next one.

The probability of selecting one blue marble is

\dfrac{5}{15}=\dfrac{1}{3},

then the probability that all 3 marbles are blue is

\dfrac{1}{3}\times \dfrac{1}{3}\times \dfrac{1}{3}=\dfrac{1}{27}

b) You do not replace each marble before selecting the next one. Each time the number of blue marbles decreases by 1 and the total number of marbles decreases by 1 too. So the probability that all 3 marbles are blue is

\dfrac{5}{15}\times \dfrac{4}{14}\times \dfrac{3}{13}=\dfrac{2}{91}

7 0
3 years ago
Please help me out :((
olga_2 [115]

Answer:

1) 5*x + 6 = 2 + 3*x

5*x - 3*x = 2 - 6

(5 - 3)*x = -4

2*x = - 4

x = -4/2 = -2

x = -2

We have only one solution.

2) 2*(6 - 2*y) = -1*(4*y - 9)

12 - 4*y = -4*y + 9

12 - 9 = -4*y + 4*y = 0

3 = 0

This is absurd, so this equation has no solution.

3) 2*z - 6 = 2*(z + 2) - 10

2*z - 6 = 2*z + 4 - 10

2*z - 6 = 2*z - 6

Here we have the exact same thing on both sides of the equation, then we have infinite solutions, this happens because z can take any value, and the equation will be true always.

4) We want to have no solutions, so we need to end with something like:

1 = 6

so, we start with:

5*x + 1 = 5*x + A

We want to find the value of A.

First, we can subtract 5*x in both sides, so we get:

1 = A

Now we just need to take A different than 1, for example, if A  = 2, then:

1 = 2

In this case the equation has no solutions, then we have:

5*x + 1 = 5*x + 2

5) We want to have one solution:

3*x - 3 = A*x + 11

We want to end with something like x = k

Let's solve the equation for x:

3*x - 3 = A*x + 11

3*x - A*x = 11 + 3

(3 - A)*x = 14

if we take A = 2, then:

(3 - 2)*x = 14

x = 14

So this equation has only one solution, the equation is:

3*x - 3 = 2*x + 11

6) We want to have infinitely many solutions, then we need to have the same thing on both sides, then we need to have an equation like:

8*x - 7 = 8*x - 7

6 0
3 years ago
◦ A bus travels with an acceleration of 2m/s2 and reaches a speed of 45km/h in 5 seconds
9966 [12]

Answer:

I don't know that one sorry

4 0
2 years ago
The graph below shows the graphs of the linear function Y = 7x and the exponential function y=7%.
ruslelena [56]

Answer: D is the answer

Step-by-step explanation:

D: x>2

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List all like terms included in each of the expressions given below.<br> A) 6 x + 5 + 12 x - 6
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Multiplication, addition, subtraction
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