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yan [13]
4 years ago
7

The drink dispenser in a fast food restaurant holds 250 liters

Mathematics
1 answer:
Charra [1.4K]4 years ago
7 0

Question:

A drink dispenser in a fast-food restaurant holds 250 litres of lemonade. How many 0.6-litre drinks can be dispensed before a refill is needed?

Answer:

The number 0.6-litre drinks can be dispensed before a refill is needed is 416

Step-by-step explanation:

Given:

The capacity of the drink dispenser =  250 litres

To Find:

Number of  0.6-litre drinks can be dispensed before a refill is needed = ?

Solution

Let the number of  0.6-litre drinks can be dispensed before a refill is needed be x

Then

x = \frac{ \text{total capacity of the dispenser}}{\text{0.6-litre drinks}}

On substituting the values we get

x = \frac{250}{0.6}

x  =  416. 667

Thus only 416 can be filled

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Solve for y and graph the solution. – 19 < y –1 < – 5
sweet [91]

Answer:Option 'C' is correct.

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At this point, both the equations intersected at .

By Option 'C' we can see that

and that is our required answer from the graph.

Hence, Option 'C' is correct.

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5+x+(−2)=−85+x+(−2)=−8<br><br><br> x=?
sashaice [31]
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3 years ago
Ayo can someone help plzz,10 points ;)
Naddika [18.5K]
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3 years ago
Read 2 more answers
Prove algebraically that the straight line with equation x =2y+5 is a tangent to the circle with equation x ² +y ²
mrs_skeptik [129]

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

<h3>What is a circle?</h3>

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.

x = 2y + 5 ...1

x² + y² = 5 ...2

If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.

Then from equations 1 and 2, we have

               (2y + 5)² + y² = 5

4y² + 25 + 20y + y² - 5 = 0

            5y² + 20y + 20 = 0

    5y² + 10y + 10y + 20 = 0

     5y (y + 2) + 10(y + 2) = 0

              (5y + 10)(y + 2) = 0

                                    y = -2, -2

Then the value of y is unique then the value of x will be unique.

The value of x will be

x = 2(-2) + 5

x = -4 + 5

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The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

More about the circle link is given below.

brainly.com/question/11833983

#SPJ1

4 0
2 years ago
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