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3 years ago

14

If the ratio of the purple flowers to black flowers is 4 to 8 and there are a total of 108 flowers, how many of the flowers are

purple?

1 answer:

tankabanditka [31]3 years ago

7 0

There would be 36 purple flowers.

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105.6% in decimal form

anastassius [24]

To turn 105.6% into a decimal, we can remove the percent sign and divide by 100.

105.6 ÷ 100 = 1.056

Therefore, 105.6% can be written as the decimal 1.056.

3 0

3 years ago

Read 2 more answers

Need help on precalcues

Vinvika [58]

5 ≥ 2, so the second rule of <em>C(x)</em> applies :

<em>C</em> (5) = 25 + 3•(5 - 2) = 25 + 3•3 = 25 + 9 = 34

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3 years ago

Rewrite the function by completing the square. 4x^2-4x+1=0

andrey2020 [161]

Do in <u>completing the square method.</u>

${4x}^{2} - 4x + 1 = 0 \\ 4x^{2}-4x=-1 \\ \frac{4x^{2}-4x}{4}=\frac{-1}{4} \\ x^{2}+\frac{-4}{4}x=\frac{-1}{4} \\ x^{2}-x=\frac{-1}{4} \\ x^{2}-x+\left(-\frac{1}{2}\right)^{2}=-\frac{1}{4}+\left(-\frac{1}{2}\right)^{2} \\ x^{2}-x+\frac{1}{4}=\frac{-1+1}{4} \\ x^{2}-x+\frac{1}{4}=0 \\ \left(x-\frac{1}{2}\right)^{2}=0 \\ \sqrt{\left(x-\frac{1}{2}\right)^{2}}=\sqrt{0}$

Now simplify.

$x-\frac{1}{2}=0 \\ x-\frac{1}{2}=0 \\ \\ \rightarrow \: x=\frac{1}{2} \\ \rightarrow \: x=\frac{1}{2}$

So, answer is..

$\boxed{x=\frac{1}{2} }$

Now <u>rewrite</u> the equation.

$4 x ^ { 2 } - 4 x + 1 = 0 \\ \boxed{4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0 }$

<u>Verification :-</u>

$4 x ^ { 2 } - 4 x + 1 = 0 \\ 4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0 \\ 1-4\times \left(\frac{1}{2}\right)+1=0 \\ 1-\frac{4}{2}+1=0 \\ 1-2+1=0 \\ -1+1=0 \\ \underline{ 0 = 0} \: \\ \dashrightarrow \text{true}$

3 0

3 years ago

What is the value of log2 18 rounded to the nearest hundredth?

ZanzabumX [31]

Answer: 4,170

Step-by-step explanation:

$\displaystyle\ \Large \boldsymbol{} log_2 18=log_2 \ 2+log_2 \ 9=1+3,16\underline99 \approax \approx4,170$

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3 years ago

If my weekly income was to increase by 15% next year.

Anastasy [175]

Answer:

862.50

Step-by-step explanation:

First find the amount of increase

750 * 15%

750 *.15

112.50

Add this to the original amount

750+112.50

862.50

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3 years ago