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3 years ago

Simplify: 2a-2/3b-4 1/2a- 1/6b

Mathematics

1 answer:

Tasya [4]3 years ago

7 0

Answer:

-5(3a+b)

Step-by-step explanation:

-5(3a+b) over 6

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How many kilometers are there in 4 miles?

raketka [301]

There are 6.4 Kilometers in 4 miles

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2 years ago

I think it’s b but I’m not sure but can somebody help me

aev [14]

Answer:

Step-by-step explanation:

The small triangle is half the size of the entire triangle. 27/2 = 13.5

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3 years ago

Yara multiplies and divides a certain number by the same

Butoxors [25]

For this case we have to:

x: Represents the unknown number

y: Represents the exponent of base 10

So, considering a system of equations we have:

$x * 10 ^ y = 40,000\\\frac {x} {10 ^ y} = 0.000004$

From the first equation we have:

$10 ^ y = \frac {40,000} {x}$

Substituting in the second equation:

$\frac {x} {\frac {40,000} {x}} = 0.000004\\\frac {x ^ 2} {40,000} = 0.000004\\x ^ 2 = 40,000 * 0.000004\\x ^ 2 = 0.16\\x = \pm \sqrt {0.16}$

We choose the positive value:

$x = 0.4$

So, the number is 0.4.

So:

$10 ^ y = \frac {40,000} {0.4}\\10 ^ y = 100,000\\y = 5$

Thus, the exponent is 5.

Answer:

Yara use 0.4 and $10 ^ 5$

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3 years ago

Express 100 000 000 000 in scientific notation

Alik [6]

The answer is 10^11. Quick way to remember is starting from the right and however many places you need to move to the 1, is the number that goes as the exponent.

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3 years ago

Ben drinks tea at an incredible rate. He drinks 3\dfrac123 2 1 3, start fraction, 1, divided by, 2, end fraction liters of tea

barxatty [35]

Answer:

Restating the question clearly:

Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. How much does he drink in one hour?

Answer:

He drinks $5\frac{1}{4}\ liters\$ in 1 hour

Step-by-step explanation:

$Rate\ of\ drinking\ =\ 3\frac{1}{2}\ liters\ per\ \frac{2}{3}\ of\ an\ hour\\$ $\therefore\ 3\frac{1}{2}\ liters\ is\ consumed\ in\ \frac{2}{3} \ hours\\\frac{7}{2} \ liters = \frac{2}{3} \ hours\\cross-multiplying\\7 \times 3\ liters = 2 \times 2\ hours\\21\ liters = 4\ hours\\4\ hours\ = 21\ liters\\\therefore\ for\ 1\ hour\\\frac{4}{4}\ hours = \frac{21}{4}\ liters\\1\ hour = 5.25\ liters\\5.25\ liters = 5\frac{1}{4}\ liters$

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3 years ago