Jason went to the Hamburger Shack twice last week. On the first trip, he bought 3 hamburgers and 4 orders

of French fries for $7.10.

On the second trip, he bought 2 hamburgers and one

order of French fries for $3.40.

What is the cost of a hamburger??

The cost of a hamburger and an order of French pies is $1.3 and $0.8 respectively.

let

cost of hamburger = x

cost of French pies = y

The equation:

3x + 4y = 7.10 (1)

3x + 4y = 7.10 (1)2x + y = 3.40 (2)

multiply (2) by 4

8x + 4y = 13.6 (3)

3x + 4y = 7.10 (1)

subtract (3) from (1)

8x - 3x = 13.6 - 7.10

5x = 6.5

x = 6.5 / 5

x = 1.3

substitute x = 1.3 into (2)

2x + y = 3.40 (2)

2(1.3) + y = 3.40

2.6 + y = 3.40

y = 3.40 - 2.6

y = 0.8

Therefore, cost of a hamburger and an order of French pies is $1.3 and $0.8 respectively.

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Cost of 1 hamburger = $1.3

Step-by-step explanation:

Assume;

Cost of 1 hamburger = a

Cost of 1 French fries = b

On first trip

3a + 4b = 7.10eq1

On second trip

2a + b = 3.40eq2

From eq2 x 4

8a + 4b = 13.6eq3

From eq3 - eq1

5a = 6.5

a = 1.3

Cost of 1 hamburger = $1.3

the graph on the bottom right

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,