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Romashka [77]
3 years ago
13

Solve 14(0.89)x+4.5 =162

Mathematics
2 answers:
dedylja [7]3 years ago
6 0
So the first thing to do is to simplify both sides of this equation:
<span>12.46x+4.5</span>=162
Next we shall subtract 4.5 from both sides so:
<span>12.46x+4.5−4.5</span>=<span>162−4.5</span>12.46x=<span>157.5
</span>Now that we are done with all those steps now here is the final steps so now we shall divide both sides by 12.46:
<span><span><span>12.46x/</span>12.46 </span>= <span>157.5/<span><span>12.46
</span>Ok so your final answer shall be:
</span></span></span>x=<span>12.640449
</span>I hope this helps you greatly!
bixtya [17]3 years ago
4 0

14(0.89)=12.46

+4.5=16.96

162/16.96=x

x=<span>9.55188679</span>


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Which of the following graphs of exponential functions corresponds to a geometric sequence with a first term of 4 and a ratio of
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Answer: graph E.


A geometric sequence can be written as:

a_{n} = a_{1} \cdot r^{(n - 1)}

where:

a₁ = first term = 4

r = ratio = 0.5


Substituting the numbers, we have:

a_{n} = 4 \cdot (\frac{1}{2})^{n-1}

or else

f(x) = 4 \cdot (\frac{1}{2})^{x - 1}


This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).


In order to choose between graph B and E, let's evaluate the function in two different points:

f(1) = 4 \cdot (\frac{1}{2})^{1 - 1} = 4

f(2) = 4 \cdot (\frac{1}{2})^{2 - 1} = 4 \cdot \frac{1}{2} = 2


Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.




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Which is the decimal expansion of StartFraction 7 Over 22 EndFraction? ModifyingAbove 0. 318 with bar 0. 3ModifyingAbove 18 with
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The answer to the question will be 0. 3 Modifying Above 18 with bar

<h3>What will be the decimal expansion of 7 over 22? </h3>

When we divide 7 by 22 we will get 0.3181818..........

Here 3 is not repeating but 18 is repeating again and again

So it is a Non-terminating repeating number

Thus the answers to the question will be 0. 3 Modifying Above 18 with bar

To know more about Non terminating repeating numbers follow

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Learning Task 1: Identify similar and dissimilar fractions. On your note- book write S if the fractions are similar and D if dis
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<h2><u>Complete Question: </u></h2>

Learning Task 1: Identify similar and dissimilar fractions. On your note- book write S if the fractions are similar and D if dissimilar.

1. \frac{2}{3} $ and $ \frac{1}{3}

2. \frac{3}{4} $ and $ \frac{1}4}

3. \frac{4}{7} $ and $ \frac{7}{8}

4. \frac{2}{5} $ and $ \frac{5}{11}

5. \frac{7}{13} $ and $ \frac{7}{9}

<h2><em><u>The answers:</u></em></h2>

1. \frac{2}{3} $ and $ \frac{1}{3} - Similar (S)

2. \frac{3}{4} $ and $ \frac{1}4} - Similar (S)

3. \frac{4}{7} $ and $ \frac{7}{8} - Dissimilar (D)

4. \frac{2}{5} $ and $ \frac{5}{11} - Dissimilar (D)

5. \frac{7}{13} $ and $ \frac{7}{9} - Dissimilar (D)

Note:

  • Similar fractions have the same denominator. i.e. the bottom value of both fractions are the same.
  • Dissimilar fractions have different value as denominator, i.e. the bottom value of both fractions are not the same.

Thus:

1. \frac{2}{3} $ and $ \frac{1}{3} - They have equal denominator. <u><em>Both fractions are similar (S).</em></u>

2. \frac{3}{4} $ and $ \frac{1}4} - They have equal denominator. <em><u>Both fractions are similar (S).</u></em>

3. \frac{4}{7} $ and $ \frac{7}{8} - They have equal denominator. <em><u>Both fractions are dissimilar (D).</u></em>

4. \frac{2}{5} $ and $ \frac{5}{11} - They have equal denominator. <u><em>Both fractions are dissimilar (D).</em></u>

5. \frac{7}{13} $ and $ \frac{7}{9} - They have equal denominator. <em><u>Both fractions are dissimilar (D).</u></em>

Therefore, the fractions in <em><u>1 and 2 are similar (S)</u></em> while those in <em><u>3, 4, and 5 are dissimilar (D).</u></em>

<em><u></u></em>

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Jason wanted to buy postcards for his cousin. The price was 2 cards for $1. He had some change in his pocket. What combination o
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Answer:

2 dimes, 1 nickel and 3 quarters.

Step-by-step explanation:

The price of 2 postcards is $1. Any combination of coins that adds to $1 will work here. Remember, a penny is worth 0.01, a nickel is worth 0.05, a dime is worth 0.10, and a quarter is worth 0.25.

Adding 2 dimes, 1 nickel, and 3 quarters would be 2(0.10)+1(0.05)+3(0.25)=1.


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