Answer:
A. 3 bags of oranges, 4 bags of apples
Step-by-step explanation:
If O is number of bags of oranges and A is number of bags of apples:
O + A = 7
5O + 3A = 27
We can solve this system of equations with either substitution or elimination. I like to use substitution, but you can use whichever you prefer.
O = 7 − A
5 (7 − A) + 3A = 27
35 − 5A + 3A = 27
35 − 2A = 27
8 = 2A
A = 4
O = 7 − A
O = 3
Teresa bought 3 bags of oranges and 4 bags of apples.
Answer:
see explanation
Step-by-step explanation:
For the ratio to be valid both quantities must have the same units
Convert 1 Kg to g by multiplying by 1000
1 Kg = 1000 g
The ratio 10g : 1000g is now equivalent measures and simplifies to
1 : 100
<h3>E
xplanation:</h3>
Replace cos^2(θ) with 1-sin^2(θ), and cot(θ) with cos(θ)/sin(θ).
cos^2(θ)cot^2(θ) = cot^2(θ) - cos^2(θ)
(1 -sin^2(θ))cot^2(θ) = . . . . . replace cos^2 with 1-sin^2
cot^2(θ) -sin^2(θ)·cos^2(θ)/sin^2(θ) = . . . . . replace cot with cos/sin
cot^2(θ) -cos^2(θ) = cot^2(θ) -cos^2(θ) . . . as desired
Total = $99
$7 an hour for x number of hours
Plus $50 in tips
99>=7x+50