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3 years ago

Multiply 1/2 x 3/16

Mathematics

2 answers:

Makovka662 [10]3 years ago

8 0

Answer: 3/32

Step-by-step explanation: When multiplying two fractions together, we multiply across the numerators and we also multiply across the denominators.

So 1/2 · 3/16 is 3/32.

Since the greatest common factor of 3 and 32 is 1, we know that our answer is written in lowest terms because if we divide the numerator and the denominator by 1, we get the same answer of 3/32.

abruzzese [7]3 years ago

4 0

Answer:

3/32

Step-by-step explanation:

Given

1/2 x 3/16

Multiply through

3/32

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A sweater with a regular price of $38.50 is on sale for 30% off. Find the final

Paraphin [41]

Answer:

The final price would be $26.95

Step-by-step explanation:

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3 years ago

Read 2 more answers

(a) Find a vector parallel to the line of intersection of the planes −4x+2y−z=1 and 3x−2y+2z=1.

valentinak56 [21]

Find the intersection of the two planes. Do this by solving for z in terms of x and y ; then solve for y in terms of x ; then again for z but only in terms of x.

-4x + 2y - z = 1 ==> z = -4x + 2y - 1

3x - 2y + 2z = 1 ==> z = (1 - 3x + 2y)/2

==> -4x + 2y - 1 = (1 - 3x + 2y)/2

==> -8x + 4y - 2 = 1 - 3x + 2y

==> -5x + 2y = 3

==> y = (3 + 5x)/2

==> z = -4x + 2 (3 + 5x)/2 - 1 = x + 2

So if we take x = t, the line of intersection is parameterized by

r(t) = ⟨t, (3 + 5t )/2, 2 + t⟩

Just to not have to work with fractions, scale this by a factor of 2, so that

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

(a) The tangent vector to r(t) is parallel to this line, so you can use

v = dr/dt = d/dt ⟨2t, 3 + 5t, 4 + 2t⟩ = ⟨2, 5, 2⟩

or any scalar multiple of this.

(b) (-1, -1, 1) indeed lies in both planes. Plug in x = -1, y = 1, and z = 1 to both plane equations to see this for yourself. We already found the parameterization for the intersection,

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

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3 years ago

A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in

kozerog [31]

Answer: C. 6

Step-by-step explanation:

Given : Time taken by Machine R to do the job = 36 hours

Time taken by Machine S to do the job = 18 hours

Let x be the number of each type of machine to do the job.

Then , according to the question the required equation will be :-

$\dfrac{x}{36}+\dfrac{x}{18}=\dfrac{1}{2}\\\\\Rightarrow\ x(\dfrac{1}{36}+\dfrac{1}{18})=\dfrac{1}{2}\\\\\Rightarrow\ \dfrac{x}{12}=\dfrac{1}{2}\\\\\Rightarrow\ x=\dfrac{12}{2}=6$