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3 years ago

PLEASE HELP I WILL GIVE BRAINLEST.

Mathematics

1 answer:

Korolek [52]3 years ago

5 0

Answer:

The correct answer is 40

Step-by-step explanation:

I took the quiz

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The Country Buffet restaurant has tables that seat 6 people and booths that can seat 4 people. The restaurant has 38 seating uni

Alina [70]

Answer:

There are 20 booths and (38 - 20), or 18, tables

Step-by-step explanation:

Represent the number of tables with t and the number of booths with b.

We need to find the values of t and b.

(6 people/table)(t) + (4 people/booth)b = 188 (units are "people")

t + b = 38 (units are "seating units")

Solving the second equation for t, we get 38 - b = t.

Substitute 38 - b for t in the first equation:

(6 people/table)(38 - b) + (4 people/booth)b = 188

Then solve for b: 6(38) - 6b + 4b = 188, or:

228 - 2b = 188, or 2b = 228 - 188, or 2b = 40. Thus, b = 20 (booths)

There are 20 booths and (38 - 20), or 18, tables.

6 0

3 years ago

Find the x-values that are solutions of the equation 5cot^2x-15=0

julia-pushkina [17]

First solve for the trig function 'cot'
$cot^2 x = \frac{15}{5} = 3$

Next take the sqrt of both sides (include plus/minus)
$cot x = \pm \sqrt{3}$

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

$tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}$

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.

$x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}$

3 0

3 years ago

Can someone give me the pattern rule for 2 6 4 12 10 30 28 and wit are the next three numbers

Usimov [2.4K]

Multiply the first digit by 3 then subtract the answer by 2. Rule: x 3 - 2

5 0

3 years ago

Read 2 more answers

A national military bureau for a certain country collects data on active members in the military. Results are published in a nat

Artemon [7]

Answer:

9.193259%

Step-by-step explanation:

In order to obtain the percentage of military members in the reserves who are Black, we will have to multiply the percentage of Black military members in the reserve by the percentage of military members in the reserve. This is calculated as follows:

Military members in the reserves who are Black (%) = 77.1771% × 11.9119%

= 9.193259%

Therefore, he percentage of military members in the reserves who are Black is 9.193259% .

Example

For example, let assume the total number of active members in the military is 100.

To obtain the number of military members who are in the reserves, we multiply 77.1771% by 100. This gives us 78 approximately.

To obtain the number of military members in the reserves who are Black, we multiply 11.9119% by 78 we got above who are active military members in the reserves. This gives us 9 members approximately.

I wish you the best.

3 0

3 years ago

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What Is this number in standard form two hunde es seven thousand, forty Eight

zhenek [66]

207,048 is the answer :)

3 0

3 years ago

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