Step-by-step explanation:
comvert units into one unit
4ft 2in = 4 + 2/12 ft
3ft 4in = 3ft + 4/12ft
Know that the ratio of tan(x) = O / A
and set up proportions

solve for h
A rectangle with sides 15 and w has perimeter

We want this quantity to be at most 50, so it must be less than or equal to 50:

For the record, this implies that

So, the width can be at most 10.
Answer:
x = 
Step-by-step explanation:
Given
4x + 6 = 11 ( subtract 6 from both sides )
4x = 5 ( divide both sides by 4 )
x =
= 1.25
Answer:
4 batches
Step-by-step explanation:
one batch calls for:
3/4 PB
1 1/2 cup SG
1 EGG
3/.75(3/4)= 4
9/1.5(1 1/2)=6
5/1= 5
The maximum number of batches she can make before running out of ingredients is 4
Answer:
3 miles on Monday
2¹/₁₀ miles on Tuesday
3⁹/₂₀ miles on Wednesday
Step-by-step explanation:
We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day
This means that John runs ³/₅ times as far as Bonnie.
MONDAY:
Bonnie runs 5 miles on Monday, therefore, John runs:
³/₅ * 5 = 3 miles
TUESDAY:
Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:
³/₅ * ⁷/₂ = ²¹/₁₀ = 2¹/₁₀ miles
WEDNESDAY:
Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:
³/₅ * ²³/₄ = ⁶⁹/₂₀ = 3⁹/₂₀ miles