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PIT_PIT [208]
3 years ago
10

Solve this equation c \/3=6 1/7

Mathematics
1 answer:
kicyunya [14]3 years ago
3 0
c/7 = 6 1/7 ⇒ c = 43 ⇒ 43/7 = 6 1/7

Convert mixed fraction into a simple fraction

6 1/7 ⇒ (6 * 7 + 1)/7 = 43/7 

c/7 = 43/7

proportionality: 

a/b = c/d where  cross products are equal :  ad = bc

a = c 
b = 7 
c = 43
d = 7          

<span>ad = bc ⇒ c7 = 7*43 ⇒ c7 = 301 ⇒ 7c/7 = 301/7 ⇒ c = 43</span>
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The area of the entire figure below is 111 square unit.
Ivahew [28]

The striped rectangle has a total area of 69,375 cm².

<h3>How to calculate the area of the striped rectangle?</h3>

To find the area of the striped rectangle we must carry out the following procedures.

Find the area of each segment of the rectangle, that is, what is the area of each of the 24 squares that make up the rectangle, for that we divide the 111cm² of the total area into 24.

  • 111cm² ÷ 24 = 4.625cm²

According to the above, we infer that each square has an area of 4.625cm².

On the other hand, to find the area of the striped rectangle we must take into account that it is 5 squares long by 3 squares high, that is, its area is 15 squares.

  • 3 × 5 = 15

Finally, each square has an area of 4.625cm², so to find the total area of the striped area we must multiply the area of each square by the number of squares.

15 × 4.625cm² = 69.375cm²

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7 0
2 years ago
Solve this equation for x. Round your answer to the nearest hundredth. 0.77 = log x​
Alekssandra [29.7K]

Answer:

x ≈ 5.89

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra II</u>

  • Exponential to Logarithmic:                                                                             \displaystyle b^m=x \rightarrow log_bx=m

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

0.77 = log(x)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Equality Property] Raise both sides to the 10th power:                                \displaysytle 10^{0.77} = 10^{logx}
  2. Simplify:                                                                                                             \displaysytle x = 10^{0.77}
  3. Evaluate:                                                                                                           \displaysytle x = 5.88844
8 0
3 years ago
Guidelines for the amount of supplementary nitrogen needed to grow winter wheat depend on the amount of nitrogen in the soil​ (a
Ierofanga [76]

The net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.

<h3>How to compute the net profit?</h3>

Case A:

Based on the information, the price of fertilizer will be:

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= $10500

Net profit = $10500 - $1250

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Case B:

Price of fertilizer will be:

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Price of wheat = 4.50 × 50 × 50

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Net profit = $11250 - $1750

= $9500

Therefore, the net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.

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3 0
1 year ago
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