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AleksandrR [38]
3 years ago
12

Round each mixed number to the nearest whole number. Then, estimate the sum. 14/11/12+3/1/6

Mathematics
1 answer:
yanalaym [24]3 years ago
4 0

14\11\12 + 3\1\6

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A bathtub can hold 80 gallons of water. The faucet flows at a rate of 4 gallons per minute what percent of the tub will be fille
bazaltina [42]

Answer:

After 6 minutes the tub will be 30% full

Step-by-step explanation:

Step 1

Determine the total volume that will be filled by the faucet at time (t) using the expression below;

V=R×T

where;

V=total volume

R=flow rate, gallons per minute

T=time in minutes

In our case;

V=unknown

R=4 gallons per minute

T=6 minutes

replacing;

V=4×6=24 gallons

Total volume filled after 6 minutes=24 gallons

Step 2

Determine the percentage volume of the tab that will be filled after 6 minutes using the expression;

percentage volume=(volume filled after 6 minutes/total volume)×100

where;

volume filled after 6 minutes=24 gallons

total volume=80 gallons

replacing;

percentage volume=(24/80)×100=30%

After 6 minutes the tub will be 30% full

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3 years ago
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Which theorem explains why the circumcenter is equidistance
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Perpendicular Bisector Theorem
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3 years ago
How to isolate the variable in the equation -2/3n + 7 = 15 lesson 6-2
sergejj [24]

Answer:

n=-4/3

Step-by-step explanation:

So the equation is -2/3n+7=15

First you subtract 7 from both sides: -2/3n+7-7=15-7 : -2/3n=8

Next multiply by 1/-2 on both sides, canceling out the -2 on the left and dividing 8 by -2 on the right: 3n=-4

Next divide by 3 on both sides

Answer: n=-4/3

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3 years ago
Natsano has at most $55,000 to invest in the common stocks of two companies. He estimates that an investment in Company A will y
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Answer:

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Step-by-step explanation:

Natsano can satisfy his constraints by investing the first $20,000 in Company A, then splitting the remaining $35,000 evenly between the companies. For best return, he needs to invest as much as possible in Company B, but each such dollar (after the first 20k) must be matched by a dollar invested in Company A. That is, his investments should be ...

  • Company A: $37,500
  • Company B: $17,500

_____

The attached graph shows the feasible region of investments (doubly shaded). The vertex that maximizes the objective function (return on investment) is the one highlighted. (It puts the objective function line as far as possible from the origin.)

_____

Sometimes graphing the constraints is more work than necessary if there is some simple logic that quickly identifies the solution.

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3 years ago
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