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3 years ago

11k - 8 = 11 + 8 ( k + 9 )

Mathematics

1 answer:

Alexus [3.1K]3 years ago

5 0

Answer:

k = $\frac{91}{3}$

Step-by-step explanation:

Expand.

11k - 8 = 11 + 8k + 72

Simplify 11 + 8k + 72 to 8k + 83.

11k - 8 = 8k + 83

Add 8 to both sides.

11k + 8k + 83 + 8

Simplify 8k + 83 + 8 to 8k + 91.

11k = 8k + 91

Subtract 8k from both sides.

11k - 8k = 91

Simplify 11k - 8k to 3k.

3k = 91

Divide both sides by 3.

k = $\frac{91}{3}$

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3 years ago

The change in altitude of a bird after 2 __ 1 2 seconds was –41 __ 1 4 feet. What was the average change in altitude of the bird

svlad2 [7]

Answer:

$Average\ Change = -1\frac{7}{10} ft/s$

Step-by-step explanation:

Given

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Required

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$Average\ Change = \frac{Altitude\ Change}{Time}$

This gives:

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$Average\ Change = -\frac{17}{4}/\frac{5}{2}$

Convert to multiplication

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3 years ago

lesya692 [45]

Answer:

x = 1.2

Step-by-step explanation:

AD/AB = DE/BC (Similarity Theorem)

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AB = 6

DE = 2

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Cross multiply

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3 years ago

Read 2 more answers

How many 3/4 ounce spoonfuls of sugar<br> are in a 5 1/2 ounce bowl?<br> show work please

klasskru [66]

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Step-by-step explanation: Divide

$5\frac{1}{2}\div \frac{3}{4}$

Step 1: Convert the mixed number to improper fraction

$5 \frac{1}{2} =\frac{11}{2}$

$= \frac{11}{2}\div \frac{3}{4}$

Step 2: Reciprocal

$\frac{11}{2}\times \frac{4}{3}$

Step 3: Divide the common factors

$4 \div 2 = 2\\\\=\frac{11}{1}\times \frac{2}{3}$

Step 4: Multiply

$\frac{11\times \:2}{1\times \:3}\\\\=\frac{22}{3}$

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3 years ago