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Verizon [17]
4 years ago
9

3.) A glass of water is being filled up slowly. It initially starts out with 4

Mathematics
1 answer:
maria [59]4 years ago
4 0

Answer:

  8 minutes

Step-by-step explanation:

The amount in the glass after m minutes can be described by ...

  a = 4 + 3/2m

We want to find m when a=16, so ...

  16 = 4 + 3/2m

  12 = 3/2m . . . . . subtract 4

  8 = m . . . . . . . . . multiply by 2/3

It will take 8 minutes to fill the glass.

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4 quarts is equal to 1 gallon
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Brittany has 50 beads. 70% of the beads are gold. How many beads does Brittany have?
Ket [755]

Answer: 35 gold beads and 15 non-gold beads

Step-by-step explanation:

70% of 50

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6 0
4 years ago
What are the domain and range of f(x)=log(x-1)+2?
marta [7]

Answer: Domain = (-1, \infty)

Range = (-\infty, \infty)

Step-by-step explanation:

Here, the given function,

f(x) = log(x-1) + 2

Since log( negative number ) = not defined

Also,

log(0) = -\infty

Hence, f(x) is defined if x - 1 > 0

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Thus, f(x) is defined for all the values that are greater than 1,

⇒ Domain of f(x) = All real number greater than 1,

= (1, \infty)

Now, for the interval (1, \infty),

f(x) can be any real number.

Thus, the range of the given function = (-\infty, \infty)

3 0
3 years ago
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The jug can hold 1500ml. The bucket can hold 2 litres. The barrel can hold 15 litres. Anisa wants to fill the barrel with water.
myrzilka [38]

Answer:

1. Using the jug 6 times and the bucket 3 times

2. Using the bucket 6 times, then using the jug two times

Step-by-step explanation:

Firstly, let’s remember that 1000 ml = 1l

Thus 2L = 2000 ml

And 15L = 15,000 ml

So the situation we are having now is that we want to fill a barrel of 15,000 ml using a jug of 1500 ml and a bucket with a capacity of 2000 ml

Firstly, the first way is using the bucket 6 times and the jug 2 times

What i mean by this is using the bucket 6 times bringing the total volume from the bucket as (6* 2000) = 12,000 ml

Then we are left with 15,000-12,000 = 3,000 ml

Now, she can fill the barrel with 2 times the full volume of the jug making 3,000

Secondly, she can also use the combination of both.

She can use the bucket 6 times and the jug 2 times

The total volume in each case here would be;

For the bucket; (2,000 * 6) = 12,000 ml

while for the jug, we have (1500 * 2) = 3,000 ml

And thus we shall be having a total of 12,000 + 3,000 = 15,000 ml this way

8 0
3 years ago
Andy, who loves to cook, makes apple cobbler for his family. The recipe (serves 6) calls for 5 3/4 pounds of apples, 6 3/4 cups
ch4aika [34]
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4 years ago
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