Four oranges and five apples cost $3.56. Three oranges and four apples cost $2.76. Find the cost of an orange and an apple using system of equations

Cost of oranges = $0.44

Cost of apples = $0.36

Step-by-step explanation:

Assume:

Cost of oranges = a

Cost of apples = b

4a + 5b = $3.56 (1)

3a + 4b = $2.76 (2)

from equation (1),

4a = $3.56 - 5b

a = ($3.56 - 5b) ÷ 4 (3)

Input equation (3) in equation (2)

3 * [($3.56 - 5b) ÷ 4] + 4b = $2.76

$2.67 - 3.75b + 4b = $2.76

0.25b = $2.76 - $2.67 = $0.09

b = $0.09 ÷ 0.25 = $0.36

Therefore, a = ($3.56 - (5 * $0.36)) ÷ 4 = $0.44

step-by-step explanation:

b and c

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet