Answer:
Option D. 1.29x + 1.35y ≤ 12
Step-by-step explanation:
Nick is making a fruit salad.
He buys apples per pound for = $1.29
He buys oranges per pound for = $1.35
He spend no more than $12.00 or we can say less than equal to $12
Let x represent the number of pounds of apples that Nick buys and y represent the number of pounds of oranges.
Cost of x pounds of apples = $1.29x
Cost of y pounds of oranges = $1.35y
Total cost = 1.29x + 1.35y
Total cost should be less than equal to $12.00
Therefore, inequality will be 1.29x + 1.35y ≤ 12
Option D. is the answer.
The other parallel side is 44 m
Step-by-step explanation:
Let us revise the formula of the area of a trapezium
, where
and
are its parallel bases- h is its height (The distance between the two parallel bases)
∵ The area of a trapezium is shaped field is 480 m²
∴ A = 480 m²
∵ The distance between two parallel sides is 15 m
∴ h = 15 m
∵ One of the parallel side is 20 m
∴
= 20 m
We need to find 
Substitute all these value in the rule of the area below
∵ 
∴ 
- Multiply the two sides by 2
∴ 
- Divide both sides by 15
∴ 
- Subtract 20 from both sides
∴ 
The other parallel side is 44 m
Learn more:
You can learn more about trapezium in brainly.com/question/7287774
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Answer:
Step-by-step explanation:
Given that the weights of bags filled by a machine are normally distributed with a standard deviation of 0.055 kilograms and a mean that can be set by the operator.
Let the mean be M.
Only 1% of the bags weigh less than 10.5 kilograms
i.e. P(X<10.5) = 0.01
corresponding Z value for P(Z<z) = 0.01 is -0.025
i.e. 10.5 = M-0.025(0.055)
Solve for M from the above equation
M = 
Rounding off we get
10.50 kgs
Mean weight should be fixed as 10.50 kg.
The answers are 5:30 6:20 8:120
Answer:
parallel lines are lines that are always the same distance apart. they never intersect.
perpendicular lines are lines that intersect at a right angle (90 degrees)