Ounce of blue dye mixed with one gallon of white paint base = 3/4
Ounce of blue dye mixed with eight gallons of white paint base = 
= 3 × 2
=6
Ounce of pink dye mixed with one gallon of white paint base = 2/3
Ounce of pink dye mixed with eight gallons of white paint base = 
= 16/3
= 5.3
Hence, 6 ounce of blue dye and 5.3 ounce of pink dye are needed to mix with 8 gallons of paint.
=6
Answer:
The distance between point A and point B is 5 units
Do the values in the table represent a proportional relationship? HELP ASAP!!!!
x 1 2 3 4
y 2.5 5 7.5 10
Select from the drop-down menu to correctly complete the statement.
All of the y-values HAVE
a constant multiple of ☆☆2.5☆☆☆ to the corresponding x-values, so the relationship PROPORTIONAL
Answer:
16 eggs
Step-by-step explanation:
<u>Steps to answering this question </u>
- determine how many eggs would be required to make one cookies
- Multiply the answer gotten above by the number of cookies
Number of eggs needed for one cookie = 4/30 = 0.1333
Number of eggs needed for 120 cookies = 0.1333 x 120 = 16 eggs
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
