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Oduvanchick [21]

3 years ago

11

3 1/2 ounces of cough syrup is used from a 9 1/4 ounce bottle how much is left

2 answers:

Oliga [24]3 years ago

5 0

5 3/4 is left in the bottle

nalin [4]3 years ago

5 0

let's firstly convert the mixed fractions to improper fractions and then subtract.

$\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}~\hfill \stackrel{mixed}{9\frac{1}{4}}\implies \cfrac{9\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{37}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{37}{4}-\cfrac{7}{2}\implies \stackrel{\textit{using the LCD of 4}}{\cfrac{(1)37~~-~~(2)7}{4}}\implies \cfrac{37-14}{4}\implies \cfrac{23}{4}\implies 5\frac{3}{4}$

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Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at

spin [16.1K]

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

$u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)$

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

$v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)$

What is u + v in component form?

$u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)$

⟨-5, -1⟩ is the answer.

3 0

3 years ago

Is 2y-x/6-4=0 a linear function

noname [10]

A equation of a linear function in a standard form:

Ax + By = C

$2y-\dfrac{x}{6}-4=0\ \ \ \ |\cdot(-6)\\\\-12y+x+24=0\ \ \ \ |-24\\\\-12y+x=-24\\\\\boxed{x-12y=-24}$

<h3>Answer: YES. It's a linear function.</h3>

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3 years ago