Answer:
Answer below
Step-by-step explanation:
Expanded form : 20 + 8 + 0.6 + 0.03
Expanded form is a way of writing numbers to see the individual math value of digits.
Word form: twenty eight point six three.
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6c - (3 - 3c) = 24
Distribute the negative sign with terms inside the parenthesis;
6c - (3) - (-3c) = 24
6c - 3 + 3c = 24
Combine like terms:
9c - 3 = 24
Add 3 to both sides:
9c = 27
Divide both sides by 9:
c = 3.
Answer:
The average amount he paid over 3 days is $15.47.
Step-by-step explanation:
Answer:
The juice container that is a better buy is the 48 ounce container because the price per ounce is lower.
Step-by-step explanation:
In order to determine the juice container that is the better buy, you have to find the one that has a lower cost per ounce by dividing the price of each juice container by the number of ounces it has:
64-ounce container: 6.50/64=0.10
48-ounce container: 4.25/48=0.08
According to this, the answer is that the juice container that is a better buy is the 48 ounce container because the price per ounce is lower.
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
