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2 years ago

Find the value of x. Show work.

Mathematics

1 answer:

ivanzaharov [21]2 years ago

6 0

Answer:

x=8

Step-by-step explanation:

The two angles are alternate interior angles. This means that they are equal to each other.

8x-12=3x+28

5x=40

x=8

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Chris bought 4 hot dogs for $1.50. Which of the following shows an equivalent rate?

o-na [289]

Answer:

1 hot dog for$0.50

Step-by-step explanation:

i hope these answer is correct

3 0

2 years ago

14 is the same as ?i need help

Basile [38]

Same as 7*2=14 explain more what u need

4 0

3 years ago

Match each expression in the left column with the correct product in the right column.

lesya692 [45]

Answer:

-6

-6i

Step-by-step explanation:

1) √4 . √-3 . √-3

$\sqrt{4} = 2$

$\sqrt{-3} . \sqrt{-3} = (\sqrt{-3})^2$

$\sqrt{4} . (\sqrt{-3})^2 = 2 \times -3 =$ -6

2) √-4 . √-3 . √-3

$\sqrt{-4} = 2i$ .

Therefore, $\sqrt{-4} . \sqrt{-3} . \sqrt{-3} = 2. \sqrt{-1} \times -3 = 2i \times (-3) =$ - 6i

3) √4 . √3 . √-3

$\sqrt{4} = 2$

$\sqrt{3} . \sqrt{-3} = (\sqrt{3})^2 . \sqrt{-1}$

$\implies 2 \times 3i =$ 6i

4) √4 . √3 . √3

$\sqrt{4} = 2$

$\sqrt{3} . \sqrt{3} = (\sqrt{3})^2 = 3$

Therefore, √4 . √3 . √3 = 2 . 3 = 6

5 0

3 years ago

What digit could be in the ten millions place of a number that is greater than 25 million but less than 73 million

irga5000 [103]

26-72 million because It has to be greater than 25 and less than 73 so you you a number in between

6 0

3 years ago

A tour operator has a bus that can accommodate 20 tourists. The operator knows that tourists may not show up, so he sells 21 tic

dalvyx [7]

Answer:

The expected revenue of the tour operator is 985.

Step-by-step explanation:

There are two outcomes:

Either less than 21 tourists show up and the operator does not have to pay anything. Or 21 tourists show up and the operator has to repay 100.

Anyways, initially he gets the price of all the tickets sold. That is 21 each at 50, so $R = 21*50 = 1050$ .

Then, we need to find the probability that all of the 21 tourists show up. In this case, we have to subtract 100 from the revenue.

Each tourist has a 0.02 probability of not showing up. This means that each has a 1-0.02 = 0.98 probability of showing up. So the probability P that all 21 tourists show up is $P = (0.98)^{21} = 0.6542$ .

So, the expected revenue of the tour operator is

$R = 1050 - 100P = 1050 - 100(0.6542) = 984.58$

Rounded up, the expected revenue of the tour operator is 985.

6 0

2 years ago