Melissa buys a 10-pound box of apples. The box has 32 apples that are all identical. What is the weight of each apple in ounces?
1 answer:
Answer:
Each apple weighs 5 ounces.
Step-by-step explanation:
This question can be solved using rules of three.
Each pound has 16 ounces.
So a 10-pound box will have 16*10 = 160 ounces
The box has 32 apples that are all identical. What is the weight of each apple in ounces?
So 32 apples have 160 ounces. How much does each apple weighs?
32 apples - 160 ounces
1 apple - x ounces
Each apple weighs 5 ounces.
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Answer:
1. y=2x-9
5. y = | x | + 6.5
6. y = | x – 5.5 |
7. y = | x + 8|
Step-by-step explanation:
There is not enough given information for some of the problems. Here are the solutions and reasons for those that area solvable:
Write a perpendicular line to the equation -3x-6y=17 by finding its slope and then flipping it to the negative reciprocal:
So -3x-6y=17 becomes y=-1/2x-17/6 where m = -1/2. The perpendicular slope is 2.
Using the point given, write the equation in point slope form and simplify to the slope intercept form:
When translating functions, remember:
- Shifting left or right is addition and subtraction respectfully inside the function.
- Shifting up and down is addition and subtraction respectfully outside the function.
5. A translation of 6.5 units up is +6.5 outside the function y=|x| so equation y=|x|+6.5 is the translation.
6. A translation of 5.5 units to the right is - 5.5 inside the function y=|x| so equation y=|x-5.5| is the translation.
7. A translation of 8 units to the left is +8 inside the function y=|x| so equation y=|x+8| is the translation.
To find the total surface area of this cone, we have that the total lateral area is given by the formula:
Where
s is the slant height of the cone, s = 12 inches.
r is the radius of the base of the cone, r = 7 inches.
To that area, we need to add the area of the base of the cone:
That is, this is the area of a circle with this radius. Then, the total surface area is:
Substituting the values in this formula, we have:
Then
Hence, the total area is equal to 417.62 square inches.
