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3 years ago

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Ricky completely filled a bucket to wash his car. After he finished Washing the car, 5/8 of the water remained in the bucket. Wr

ite and solve an equation to show the fraction of the water Ricky used.

1 answer:

igomit [66]3 years ago

6 0

1-5/8=3/8
If he had 5/8 leftover, then he used 3/8.

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Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 3x + x³

Taking differentiate

$\frac{d}{dx}\left(3x+x^3\right)$

$\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'$

$=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

solving

$\frac{d}{dx}\left(3x\right)$

$\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'$

$=3\frac{d}{dx}\left(x\right)$

$\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1$

$=3\cdot \:1$

$=3$

now solving

$\frac{d}{dx}\left(x^3\right)$

$\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}$

$=3x^{3-1}$

$=3x^2$

Thus, the expression becomes

$\frac{d}{dx}\left(3x+x^3\right)=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

$=3+3x^2$

Thus,

f'(x) = 3 + 3x²

Given that f'(x) = 15

substituting the value f'(x) = 15 in f'(x) = 3 + 3x²

f'(x) = 3 + 3x²

15 = 3 + 3x²

switch sides

3 + 3x² = 15

3x² = 15-3

3x² = 12

Divide both sides by 3

x² = 4

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{4},\:x=-\sqrt{4}$

$x=2,\:x=-2$

Thus, the value of x will be:

$x=2,\:x=-2$

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A survey of 2,000 doctor showed that an average of 3 out of 5 doctor use brand x aspirin. How many doctor use brand x asprin

choli [55]

3:5...added = 8

3/8(2000) = 6000/8 = 750 use brand x aspirin <===
5/8(2000) = 10000/8 = 1250 do not use brand x aspirin

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The price of<br> a watch was increased by 20% to £198.<br> What was the price before the increase?

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Answer:

£165

Step-by-step explanation:

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If 120 marks is 60% what is full marks

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Let's say is "x", so, then "x" is the 100%, and we know that the 60% is 120, what the dickens is "x" anyway?

$\bf \begin{array}{ccll}
marks&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
x&100\\
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Answer:

See explanation.

Step-by-step explanation:

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The formula for the area of a rectangle is as follows:

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Where A = area, l = length, and w = width.

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The formula for the area of a circle is as follows:

$A=\pi r^2$

Where A = area and r = radius.

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Cylinder: $A=2\pi rh+2\pi r^{2}$

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