I need help on 1-6, plzzz

What is the value of 64 2/3?

Neporo4naja [7]

Answer:

$\frac{194}{3}$

Step-by-step explanation:

$64 \frac{2}{3}$

$64 + \frac{2}{3}$

$64 \times \frac{3}{3} + \frac{2}{3}$

$\frac{64 \times 3}{3} + \frac{2}{3}$

$\frac{64 \times 3 + 2}{3}$

$\frac{192 + 2}{3}$

$\frac{194}{3}$

<h3>Hope it is helpful...</h3>

5 0

3 years ago

Can someone answer this please

love history [14]

Answer:

7^4

Step-by-step explanation:

7^12 / 7^8

We know that a^b / a^c = a^(b-c)

7^(12-8)

7^4

7 0

3 years ago

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Can someone please help this is due in 15 minutes.

son4ous [18]

Answer:

It's 128 or 256 but I'm pretty sure it's 128

Step-by-step explanation:

To calculate actual area based on a scale drawing, take each of the original dimensions and multiply them by the scale factor to get the actual dimensions. Then, use your knowledge of geometric figures to calculate the enlarged or reduced area

8 0

3 years ago

[(-4)+{8÷(-4)}]*(-5)^2-9 the answer is -159 just need the steps.

marishachu [46]

PEMDAS (right to left) (Parentheses, exponents, Multiplication/Division, Addition/Subtraction) or Please Excuse My Dear Aunt Sally is what I was taught to use.
1.[(-4)+{-2}]*(-5)^2-9; divide 8 by -4 (it is the innermost parentheses problem)
2. [(-6)]*-5^2-9; next innermost parentheses problem
3. [(-6)]*25-9; exponents
4. -150-9; multiplication
5. -159; subtraction/addition depending on how you want to look at it

8 0

4 years ago

Part A:

rewona [7]

Part B - Question 1

Distance for the spacecraft to travel from Venus to Jupiter = Distance of Jupiter from Sun - Distance of Venus from Sun

⇒ Distance for the spacecraft to travel from Venus to Jupiter = 4.838 × 10⁸ - 6.724 × 10⁷

⇒ Distance for the spacecraft to travel from Venus to Jupiter = 483,800,000 - 67,240,000

⇒ Distance for the spacecraft to travel from Venus to Jupiter = 416,560,000

⇒ Distance for the spacecraft to travel from Venus to Jupiter = 4.1656 × 10⁸

Part B - Question 2

Combined distance of Mercury, Venus, and Earth from the Sun = Distance of Mercury from Sun + Distance of Venus from Sun + Distance of Earth from Sun

⇒ Combined distance of Mercury, Venus, and Earth from the Sun = 5.7909 × 10⁷ + 6.724 × 10⁷ + 9.296 × 10⁷

⇒ Combined distance of Mercury, Venus, and Earth from the Sun = 21.8109 × 10⁷

⇒ Combined distance of Mercury, Venus, and Earth from the Sun = 2.18109 × 10⁸

Distance of Neptune from the Sun = 2.793 × 10⁹

Hence, we can see that the combined distance of Mercury, Venus and Earth from the Sun is <u>less</u> than that of Neptune from the Sun.

Part B - Question 3

If Earth was 10 times farther away from the sun, then the new distance between the Sun and the Earth = 10 × 9.296 × 10⁷

⇒ New distance between the Sun and the Earth = 9.296 × 10⁸

Now, the Earth will be closest to Saturn, which is 8.907 × 10⁸ away from the Sun

New Distance between Earth and Saturn = Distance of Earth from Sun - Distance of Saturn from Sun

⇒ New Distance between Earth and Saturn = 9.296 × 10⁸ - 8.907 × 10⁸

⇒ New Distance between Earth and Saturn = 0.389 × 10⁸

⇒ New Distance between Earth and Saturn = 3.89 × 10⁷ (in scientific notation)

⇒ New Distance between Earth and Saturn = 38,900,000 (in standard notation)

Part B - Question 4

Speed of space shuttle = 28,000 km per hour

Time spent to travel from Saturn to Earth = $\frac{\text{Distance between Saturn and Earth}}{\text{Speed of space shuttle} }$

⇒Time spent to travel from Saturn to Earth = $\frac{\text{Distance of Saturn from Sun - Distance of Earth from Sun}}{\text{Speed of space shuttle} }$

⇒Time spent to travel from Saturn to Earth = $\frac{8.907 * 10^8 - 9.296 * 10^7}{28,000}$

⇒Time spent to travel from Saturn to Earth = $\frac{797,740,000 }{28,000}$

⇒Time spent to travel from Saturn to Earth = 28,490.7 hours

⇒Time spent to travel from Saturn to Earth = 28,491 hours

Hence, it will take 28,491 hours or 2.8491 x 10⁵ hours for the space shuttle to travel from Saturn to Earth.

3 0

3 years ago

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