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3 years ago

150 miles in 6 gallons in unit rates

Mathematics

1 answer:

vazorg [7]3 years ago

8 0

Answer:

1g/25m

Step-by-step explanation:

divide both of them by 6 so one of them can be one

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2( 10 - a^2 ) + 7a If ( a = 4 )Evaluate each expression

Lostsunrise [7]

Solution:

Given:

$2(10-a^2)+7a$

when a = 4, substitute for a in the expression;

$\begin{gathered} 2(10-a^2)+7a=2(10-4^2)+7(4) \\ =2(10-16)+28 \\ =2(-6)+28 \\ =-12+28 \\ =16 \end{gathered}$

Therefore, if (a = 4), then

$2(10-a^2)+7a=16$

Hence, the answer is 16.

6 0

10 months ago

Solve for n.<br><br> n + 1 = 4(n – 8)

kolezko [41]

N + 1 = 4(n – 8)
Use distributive property for this part: 4(n – 8) ----> 4n - 32

n + 1 = 4n - 32

Get the variable on one side:

n + 1 = 4n - 32
-n -n

1= 3n - 32

Get the variable on its own:

1= 3n - 32
+32 +32

33 = 3n

Divide by 3 on both sides:

33/3 = 3n/3

n = 11

7 0

3 years ago

A cylindrically shaped space station is rotating about the axis of the cylinder to create artificial gravity. The radius of the

erica [24]

Answer:

Step-by-step explanation:

The maximum change happens when all 500 people moves form outer surface to the station center. When all of them are at the surface, the total moment of inertia is:

$I = I_s + 500I_p = 3*10^9 + 500m_pr_p^2=3*10^9 + 500*70*82.5^2=3.24*10^9$

When they are at the axis, the total moment of inertia is only the station's, which is $3*10^9$

By the law of angular momentum conservation:

$I_1\omega_1 = I_2\omega_2$

$\omega_2/\omega_1 = I_1/I_2 = \frac{3.24*10^9}{3*10^9} = 1.08$

So the angular speed changes by 0.08 of itself, or 8%

5 0

3 years ago

What is the surface area of the prism?

Harman [31]

Area of lower rect + area of upper + 4 * sides rect areas

lower = upper rect

2 * rect1 + 4 * rect2

Area = 2 * 6 * 11 + 2 * 11 * 9 + 2 * 9 * 6 = 438 ft^2

or simply just take 2 ( and multiply each two sides.

5 0

3 years ago

What are the two binomial factors of this equation x² + 10x + 24?

antoniya [11.8K]

Answer:

( x + 4 ) ( x + 6 )

Step-by-step explanation:

3 0

2 years ago