Solve the compound inequality below:

1 answer:

3 0

-5b+5 <= 25
-5b <= 25 - 5
-5b <= 20
sign flips direction when divide/multiply by negative
b >= -4

7b +6 <= -36
7b <= -36 - 6
7b <= -42
b <= -6

answer D

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Sandra rode her bike 5 times as many miles as Barbara. If b, the distance Barbara rode, equals 3.4 miles, what is the correct ex

Debora [2.8K]

The expression s = 5b represents the Sandra rode her bike and the distance Sandra rode, equals 17 miles.

<h3>What is distance?</h3>

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

Sandra rode her bike 5 times as many miles as Barbara. If b, the distance Barbara rode, equals 3.4 miles.

b = 3.4 miles

Let's suppose the s is the distance Sandra rode then,

s = 5b

The above expression represents the Sandra rode her bike.

Plug b = 3.4 miles

s = 5(3.4) = 17 miles

Thus, the expression s = 5b represents the Sandra rode her bike and the distance Sandra rode, equals 17 miles.

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Simplify the following expression. 4a^-2b<br><br> A.) b/4a^2<br> B.)4b/a^2<br> C.)1/4a^b2

Sergio [31]

ANSWER

The correct answer is B

$\frac{4b}{ {a}^{2} }$

EXPLANATION

The given exponential expression is

$4 {a}^{ - 2} b$

We can rewrite this as,

$4b \times {a}^{ - 2}$

We need to simplify to obtain a positive index, so we apply the following property,

${a}^{ - m} = \frac{1}{ {a}^{m} }$

This implies that,

$4b \times {a}^{ - 2} = 4b \times \frac{1}{ {a}^{2} }$

This will finally simplify to,

$4b \times {a}^{ - 2} =\frac{4b}{ {a}^{2} }$

Therefore the correct answer is B

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