MATHEMATICS HIGH SCHOOL

The farmer's market has a total of 98 tents. the ratio of food tents to retail tents is 9:5.
a. Write a system of linear equations that represent this situation.
b. How many food tents are at the market?
c. How many retail tents are at the market?

Answers

Answer 1

Answer:

Answer:

Let x represents the food tents and y represents the retail rents.

As per the given statement: The farmer's market has a total of 98 tents.

⇒ $x + y = 98$ ......[1]

Also, it is given that the ratio of food tents to retails tents is 9 : 5.

⇒ $(x)/(y) = (9)/(5)$

By cross multiply, we have;

5x = 9y

Divide both sides by 5 we get;

$x = (9)/(5)y$

Substitute this value x in equation [1] to solve for y;

$(9)/(5)y + y = 98$

Combine like terms;

$(14)/(5)y = 98$

Multiply both sides by $(5)/(14)$ we get;

$y =98 * (5)/(14) = 7 * 5 = 35$

Substitute the value of y= 35 in $x = (9)/(5)y$ to solve for x;

$x = (9)/(5) * 35 = 9 * 7 = 63$

(a)

System of linear equation that represents situation is:

$x + y = 98$

$x = (9)/(5)y$

(b)

As x represents the food tents.

Therefore, 63 food tents are at the market.

(c)

y= 35 retail tents are at the market.

Answer 2

Answer: F+r=98
5f=9r
F is food tents, r is retail tents.
Plug in f=9/5r to the top to get 14/5r=98. Then 2/5r=14. So r=35 and f=9/5*35=63.

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Answers

Answer:

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Step-by-step explanation:

We use the formula for compound interest here, to determine the amount

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where A is the amount which we want to calculate

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For f(x)=2x+1 and g(x)=x^2-7 find (f•g)(x)

Answers

(f•g)(x) = (2x+1) (x^2-7)
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............................................

Answer:

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Step-by-step explanation:

The formula for centripetal acceleration, a, is given by this formula, where v is the velocity of the object and r is the object’s distance from the center of the circular path: a=v^2/r . Solve the formula for r.

Answers

Answer:

r = V^2/a

Step-by-step explanation:

Here, we want to write the formula for r

What this simply mean is that we want to make r the formula subject

We have this as follows;

a = V^2/r

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Answers

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x+5

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Answers

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Answer:

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the
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