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Korolek [52]
3 years ago
10

For a science experiment Marcia dissolved 1.0 kilogram of salt in 3.0 liters of water. For a different experiment, Bobby dissolv

ed 2.0 pounds of salt in 15.0 pints of water. Which person made a more concentrated salt solution? Complete the explanation. Use 1 kg = 2.2 lb and 1 L = 2.11 pints. Round your answers to the nearest hundredth. Marcia's concentration was about kg/L, while Bobby's concentration was about kg/L. made a more concentrated salt solution.
Mathematics
1 answer:
shutvik [7]3 years ago
3 0
Answer : Marcia salt solution has more concentration than Bobby salt solution

The concentration of Marcia salt solution is 1kg/3L= 0.33kg/L

It's a bit harder to count Bobby salt solution since you need to convert the pounds into kg and the pints into Liter. If you don't do that, you can't compare the concentration. The calculation would be:
2 pounds/ 15pints x (1kg/2.2lb) x (1L/2.1pints) = 0.02889 kg/L
Rounded up into hundredth = 0.03kg/L
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Rina8888 [55]

Answer:

The speed of the submarine is 15.429 miles per hour.

Step-by-step explanation:

Let suppose that both ships travel at constant velocities. As we know that both travel in opposite directions, it is supposed that cruise ship moves in +x direction, whereas submarine in -x direction. Kinematic equations for each sheep are described below:

Ship

x_{Sh} = x_{o} + v_{Sh}\cdot t

Submarine

x_{Su} = x_{o}+v_{Su}\cdot t

Where:

x_{o} - Position of Diego Garcia island, measured in miles.

x_{Sh}, x_{Su} - Current positions of ship and submarine, measured in miles.

v_{Sh}, v_{Su} - Velocities of ship and submarine, measured in miles per hour.

t - TIme, measured in hours.

If we know that x_{Sh} - x_{Su} = 241\,mi, v_{Sh} = 19\,\frac{mi}{h} and t = 7\,h, then:

x_{Sh} - x_{Su} = (v_{Sh}-v_{Su})\cdot t

We clear now the velocity of submarine:

\frac{x_{Sh}-x_{Su}}{t} = v_{Sh}-v_{Su}

v_{Su} = v_{Sh}-\frac{x_{Sh}-x_{Su}}{t}

v_{Su} = 19\,\frac{mi}{h} -\frac{241\,mi}{7\,h}

v_{Su} = -15.429\,\frac{mi}{h}

Speed of the submarine is the magnitude of its velocity, which is 15.429 miles per hour.

4 0
3 years ago
Pierre wants to make tables and chairs. He has a total of 220 wooden boards and 760 nails. 13T+8C≤220 represents the number of t
Alisiya [41]

Answer:

Pierre has enough boards and nails to make 9 tables and 5 chairs.

Step-by-step explanation:

13T+8C ≤ 220

Let us substitute 9 for T and 5 for C and check.

13(9) + 8(5) = 117 + 40

= 157 < 220

So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.

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Substitute 9 for T and 5 for C.

48(9)+37(5) = 432 + 185

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So, 760 nails are sufficient to make 9 tables and 5 chairs.

Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.

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3 years ago
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suter [353]

Answer:

22

Step-by-step explanation:

If x = 5, then plug 5 in for x .

3(5) + 7

15 + 7 = 22

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