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3 years ago

Find the output , h , when the input , x , is -18 h= 17+x/6

1 answer:

3 0

Once you plug in -18 as x you divide it with 6 and the answer of that is -3 then you add 17 and -3 and your output will be 14!

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At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only . The sandwiches are made with ei

slamgirl [31]

Answer:

1/8 or 0.125

Step-by-step explanation:

So, I started solving this problem by writing all the possible options, then pairing them each up with a fruit and drink..

...But when I read the question again, I noticed I forgot to leave out the fruit, as this question states that you're trying to retrieve "a turkey sandwich and a bottle of water.."

Well, oof.

Despite that, I'm still giving this answer as if it never left out the fruit. So, let's see what we need to do.

To find all the possible lunch options, I started out by writing down one of our meats, Turkey. As per requested, I made every possible turkey combination that included a fruit and drink, which gave me this:

Turkey, apple and water
Turkey, orange and water
Turkey, orange and juice
Turkey, apple and juice

Same for the ham:

Ham, apple and water
Ham, apple and juice
Ham, orange and juice
Ham, orange and water

Putting these together, this gives up 8 different lunchbox combinations. If we're trying to get one and we randomly select it, then we have a 1/8 chance of grabbing the turkey sandwich and a bottle of water....

..and a fruit.

Hope this helped!

If you need me to show my work, just comment me and I will attach a screenshot!

Source: N/A

5 0

3 years ago

Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.

elixir [45]

Answer:

(1) TRUE.

(2) FALSE.

(3) FALSE.

(4) TRUE.

(5) FALSE.

Step-by-step explanation:

(1) $\sqrt{32} = 2^{\frac{5}{2} }$

$2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}$

Thus, the equation is TRUE.

(2) $16^{\frac{3}{8} } = 8^2$

$16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64$

Thus, the equation is FALSE.

(3) $4^{\frac{1}{2} } = \sqrt[4]{64}$

$4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}$

Thus, the equation is FALSE.

(4) $2^8 = (\sqrt[3]{16} )^6$

$2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256$

Thus, the equation is TRUE.

(5) $(\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\$

$8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4$

Thus, the equation is FALSE.

4 0

2 years ago

What are the sets of 5x > 125

Lisa [10]

Answer:

x >25

Step-by-step explanation:

4 0

2 years ago

What is x when 2(x+3)=x-4

denpristay [2]

Answer:

$x=-10$

Step-by-step explanation:

First, use distribution to simplify

$2(x+3)=x-4\\2x+6=x-4$

Then, simplify further by combining like terms

$2x+6=x-4\\2x+10=x\\10=-1x$

Solve

$10=-1x\\x=-10\\$

8 0

2 years ago

2. A restaurant employs five people. The two cooks work 36 hours

Cloud [144]

Answer:

Total amount = R5112

Step-by-step explanation:

Let the cooks be C.

Let the waiters be W.

Given the following data;

Number of cooks, C = 2

Number of waiters, W = 3

a. To find the amount earned by each cook;

C = 36 * R36 = R1296

b. To find the amount earned by each waiter;

W = 30 * R28 = R840

c. To find the total amount earned by the employees;

Total amount = 2C + 3W

Total amount = 2(1296) + 3(840)

Total amount = 2592 + 2520

Total amount = R5112

4 0

2 years ago