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ozzi
3 years ago
7

If an object that is 85 ft. long is represented on a scale drawing as a line 5 in. long, what is the scale used to make the draw

ing?
A. 1 in. to 17 ft.
B. 5 in. to 85 ft.
C. 2 in. to 35 ft.
D. 3 in. to 51 ft.
Mathematics
1 answer:
wolverine [178]3 years ago
7 0
The answer is A.
85/5 is 17 and scales are unit rates. Also, process of elimination.
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Solve for x.<br> 4(2x - 1) - 7 = 4 - x + 6
Akimi4 [234]
<span>The answer is that x = 21/9.

Start with the original:                  4(2x - 1) - 7 = 4 - x + 6
Now distribute the 4:</span>                   <span> 8x - 4 - 7 = 4 - x + 6.
Now combine the like terms.       8x - 11 = -x + 10.
Now add x to both sides.             9x - 11 = 10.
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6 0
3 years ago
Read 2 more answers
Change the subject of the formula L = v 4kt - p to k.
Romashka [77]

Answer:

\boxed{k = \frac{L^2 + p}{4t}}

General Formulas and Concepts:

<u>Algebra I</u>

Basic Equality Properties

  1. Multiplication Property of Equality
  2. Division Property of Equality
  3. Addition Property of Equality
  4. Subtraction Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given.</em>

<em />\displaystyle L = \sqrt{4kt - p}

<u>Step 2: Solve for </u><u><em>k</em></u>
We can use equality properties to help us rewrite the equation to get <em>k</em> as our subject:

Let's first <em>square both sides</em>:

\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\\end{aligned}

Next, <em>add p to both sides</em>:

\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\\end{aligned}

Next, <em>divide 4t by both sides</em>:

\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\& \rightarrow \frac{L^2 + p}{4t} = k \\\end{aligned}

We can rewrite the new equation by swapping sides to obtain our final expression:

\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow \boxed{k = \frac{L^2 + p}{4t}}\end{aligned}

∴ we have <em>changed</em> the subject of the formula.

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Learn more about Algebra I: brainly.com/question/27698547

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Topic: Algebra I

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Answer:

Yes

Step-by-step explanation:

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