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pochemuha
3 years ago
6

2 2/3 +2 2/3 + 2 2/3 +2 2/3+5

Mathematics
1 answer:
Goryan [66]3 years ago
7 0

Answer:

15 2/3

Step-by-step explanation:

5\frac{2}{3}  + 2 \frac{2}{3}  = 8

8 + 2 \frac{2}{3}  + 5

10 \frac{2}{3}  + 5 = 15 \frac{2}{3}

15 \frac{2}{3}

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Answer:

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54 = 6(8+b)/2

Thus b = 10cm.

5 0
3 years ago
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Mario hauled 64 containers of oil that each held 73 gallons to a local distributor. The distributor poured all the oil in equal
Nady [450]
64 (containers)• 73 (gallons)= 4,672 (total amount of oil). 4,672/32 (new containers)= 146 (gallons per new container). So 146 gallons of oil were poured into each new container and the total number of gallons of oil is 4,672 gallons.
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4 years ago
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The equation r(t)= (3t+9)i+(sqrt(2)t)j+(t^2)k is the position of a particle in space at time t. Find the angle between the veloc
andreev551 [17]

Answer:

\theta= \frac{\pi}{2} +\pi \cdot i, for all i = \mathbb{Z} \cup\{0\}

Step-by-step explanation:

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\dot r(t)= v (t) = 3 \cdot i +\sqrt{2} \cdot j + 2\cdot t \cdot k

In turn, acceleration vector is found by deriving the velocity vector depending on time:

\ddot r(t) = \dot v(t) = a(t) = 2 \cdot k

Velocity and acceleration vectors at t = 0 are:

v(0) = 3\cdot i + \sqrt{2} \cdot j\\a(0) = 2 \cdot k\\

Norms of both vectors are, respectively:

||v(0)||\approx 3.317\\||a(0)|| \approx 2

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\theta = \cos^{-1}(\frac{v(0) \bullet a(0)}{||v(0)||\cdot ||a(0)||})

Given that cosine has a periodicity of \pi. There is a family of solutions with the form:

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7 0
3 years ago
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Colt1911 [192]

Answer:

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subtract the functions as follows:

s(x) - r(x) = (2x+1) - (-x2 +3x)

expand the 2nd bracket by multiplying it by the negative 1 outside

= 2x + 1 + x2 - 3x

= x2 - x + 1

Voila!

4 0
2 years ago
What's 22/15+ 15/15?
Aleksandr [31]

Answer:

2  7/15

Step-by-step explanation:

37/15 or 2 7/15

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