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2 years ago

Ms. Owens has some pencils . She give 5 of them away. Now she has 13 pencils left. How many pencils did she start with?

Mathematics

1 answer:

serious [3.7K]2 years ago

8 0

Answer:

18 pencils

Step-by-step explanation:

she had 18 minus 5= 13 hope this helps

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Is the given sequence arithmetic? If so, identify the common difference. 3.2, 3.5, 3.8, 4.1, . . .

sweet [91]

3.5 - 3.2 = 3.8 - 3.5 = 4.1 - 3.8 = 0.3 (common difference)

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3 years ago

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NO ASSESSMENTS/NO LINKS!!

alexdok [17]

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Answer:

g(x) = x -1

Step-by-step explanation:

Translation of a function by (right, up) = (h, k) is accomplished by ...

g(x) = f(x -h) +k

Here the translation is 4 units left, so h=-4 and k=0. This means ...

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3 years ago

Which evidence from the text best supports the idea that women astronauts are not unusual anymore?

Ivenika [448]

Answer:

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Step-by-step explanation:

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2 years ago

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3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

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2 years ago

How long will it take Carlos to walk 16 miles if he is walking 4 mph?

qwelly [4]

It will take Carlos 4 hours to walk 16 miles.

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3 years ago