Answer:
Step-by-step explanation:
If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.
If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes
y = k/x
When y = 0.25, x = 8
Substituting into the expression above, it becomes
0.25 = k/8
k = 0.25 × 8
k = 2
The inverse variation function is
y = 2/x
Answer: 0.04 per pound
Step-by-step explanation:
A 5 pound bag of apples costs 4.50.
The unit price will be 4.50 divided by 5 which will be:
4.50 ÷ 5 = 0.9
The unit price is 0.9 per pound
A 8 pound bag of the same type of apples costs 7.52.
The unit price will be 7.52 divided by 8 which will give:
7.52 ÷ 8 = 0.94
The unit price is 0.94 per pound
The difference in the unit prices will be the subtraction of 0.90 from 0.94.
0.94 - 0.90 = 0.04
The difference in the unit prices is 0.04 per pound.
Answer: -7y+8x
Step-by-step explanation: I assume you mean to simplify
Step 1: Remove parentheses : -4y - x - (3y - 9x)
Step 2: -(3y - 9x) = -3y + 9x
Step 3: Simplify: -4y - x - 3y +9x
Step 4: Answer: -7y+8x
Answer:
ngee hirap Naman niyan sayang
Answer:
Step-by-step explanation:
Triangle DEF is a right angle triangle.
From the given right angle triangle,
DE represents the hypotenuse of the right angle triangle.
With ∠E as the reference angle,
EF represents the adjacent side of the right angle triangle.
DF represents the opposite side of the right angle triangle.
To determine EF, we would apply
trigonometric ratio
Cos θ = opposite side/hypotenuse. Therefore,
Cos 49 = EF/8
EF = 8Cos49 = 8 × 0.6561
EF = 5.2488
Rounding to the nearest tenth, it becomes 5.2
