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Oksi-84 [34.3K]

2 years ago

13

The owners of the River View Restaurant have hired enough servers to handle 17 tables of customers, and the fire marshal has app

roved the restaurant for a limit of 56 customers. How many two-seat tables and how many four-seat tables should the owners purchase?

1 answer:

n200080 [17]2 years ago

8 0

You could have all 4 seat tables at 14

or if you want both you could have 12 four seat and 4 two seat

You might be interested in

What is the area of a circle with radius 6 cm? Give your answer in terms of 2 points

vodka [1.7K]

22/7*6*6=792/7

792/7=113.142

= 113.14

5 0

2 years ago

250 grams of sugar cost 150 dollars at Shop X. 100 grams of sugar cost 95 dollars at Shop Y. What is the difference in cost per

nata0808 [166]

<h2>Answer:</h2>

350 dollars

<h2>Step-by-step explanation:</h2>

<em>(step 1) Find the cost per kilogramme of sugar in shop X</em>

In shop X:

250 grams of sugar costs 150 dollars.

<em>Remember that;</em>

1000 grams = 1 kilogramme.

=> 250 grams will be equal to 0.25 kilogramme

Therefore (replacing 250 grams with 0.25 kilogramme) in shop X;

0.25 kilogramme of sugar costs 150 dollars

Now, if

0.25 kilogramme = 150 dollars,

=> 1 kilogramme = 150 dollars x 1 kilogramme / 0.25 kilogramme

=> 1 kilogramme = 600 dollars

Therefore, the cost per kilogramme of sugar in shop X is 600 dollars

<em>(step 2) Find the cost per kilogramme of sugar in shop Y</em>

In shop Y:

100 grams of sugar costs 95 dollars.

<em>Remember that;</em>

1000 grams = 1 kilogramme.

=> 100 grams will be equal to 0.1 kilogramme

Therefore (replacing 100 grams with 0.1 kilogramme) in shop Y;

0.1 kilogramme of sugar costs 95 dollars

Now, if

0.1 kilogramme = 95 dollars,

=> 1 kilogramme = 95 dollars x 1 kilogramme / 0.1 kilogramme

=> 1 kilogramme = 950 dollars

Therefore, the cost per kilogramme of sugar in shop Y is 950 dollars

<em>(step 3) Find the difference in cost per kilogramme of sugar between the two shops</em>

The difference is calculated by subtracting the cost per kilogramme of sugar in shop X from the cost per kilogramme of sugar in shop Y. i.e

=> cost per kilogramme of sugar in shop Y - cost per kilogramme of sugar in shop X

=> 950 dollars - 600 dollars

=> 350 dollars.

Therefore, the difference in cost per kilogramme is 350 dollars

3 0

2 years ago

Is the point (1,3) a solution to the linear equation 5x-9y=32? explain

harina [27]

There are many ways to check if the point (1,3) is a solution to the linear equation $5x-9y=32$ .

Let us check it by expressing y in terms of x.

The given expression is 5x-9y=32. If we add -5x to both sides we will get:

$-9y=-5x+32$

Multiplying both sides by -1 we will get:

$9y=5x-32$

In order to isolate y, we will divide both sides by 9 to get:

$y=\frac{5}{9}x-\frac{32}{9}$

Now let us plug in the given value of x=1 from the point (1,3). This should give us y=3. Let us see if we get y=3 when we plug x=1 in the above equation.

$y=\frac{5}{9}\times 1-\frac{32}{9}=\frac{5-32}{9}$

$\therefore y=\frac{-27}{9}=-3$

Thus, we see that when x=1, y=-3 and that $y\neq 3$ and hence we conclude that the point (1,3) is not a solution to the original given linear equation 5x-9y=32.

For a better understanding of the explanation given here a graph has been attached. As can be seen from the graph, (1,3) does not lie on the straight line that represents 5x-9y=32, but (1,-3) does lie on it as we had just found out.

3 0

3 years ago

Read 2 more answers

The number of free song downloads is determined using a ratio when you purchase 40 songs you get 24 free song downloads how many

natka813 [3]

34 because 24 is 6x4 and 40 is 6.5 but you obviously round up so 7x6 so18 free songs is is 6x3 you just take away 6 to your number so 40-6+=34 so 34

3 0

3 years ago

(PLEASE HELP) The table below - does it represent an exponential function?

Aliun [14]

Short answer: I don't know, but that doesn't mean I can't give you something that you can decide for yourself.
y = 4*2^(2n - 2) is the pattern.
Go for broke. Try n = 4. You should get 256. Let's try it.
y = 4 * 2^(2*4 - 2)
y = 4 * 2^(8 - 2)
y = 4 * 2^6
y = 4 * 64
y = 256 yup it works.

The other end is just as important. Suppose n = 1
Then y = 4 * 2^(2*1 - 2) = 4 * 2^0 = 4*1 = 4 Both work.

If this formula is correct, we can abbreviate it to make your task easier.
y = 4 * 2^(2n - 2)
y = 2^2 * 2^(2n - 2)
y = 2^(2n - 2 + 2)
y = 2^(2n) Now try the two end points again.

n = 4
y = 2^(2*4)
y = 2^8
y = 256

n = 1
y = 2^(2*1)
y = 2^2
y = 4 which again checks.

so y = 2^(2n) I think is an exponential function.
Sorry my explanation is so long.

6 0

3 years ago