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3 years ago

52 is what percent of 260

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

3 0

if we take 260 to be the 100%, what is 52 off of it as a percentage?

$\bf \begin{array}{ccll} amount&\$\\ \cline{1-2} 260&100\\ 52&x \end{array}\implies \cfrac{260}{52}=\cfrac{100}{x}\implies 5=\cfrac{100}{x} \\\\\\ 5x=100\implies x = \cfrac{100}{5}\implies x=20$

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when making a peanut butter and jelly sandwich, 96% of people put the peanut butter on first. write 96% as a decimal.

ikadub [295]

Drop the percent sign so that you only have 96 then divide by 100 to get the decimal (or move the decimal place to the left two).

96% --- drop the percent
96 ----- move the decimal place over to or divide by 100

96/100
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3 years ago

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Which number below best represents a gain of $4.88?

Flura [38]

Answer: A. 4.88

Step-by-step explanation:

4.88 is positive. It doesnt make sense for the answer to be a negative number when the question is asking for a GAIN of something.

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3 years ago

g find the 2 components of vector b = 2i + j - 3k, one parallel to a = 3i - j and another one perpendicular to a

nika2105 [10]

Answer:

The components of $\vec{b}$ parallel and perpendicular to $\vec {a}$ are $\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j$ and $\vec b _{\perp} = \frac{1}{2}\,i+\frac{3}{2}\,j-3\,k$ , respectively.

Step-by-step explanation:

Let be $\vec b = 2\,i+j-3\,k$ and $\vec a = 3\,i-j$ , the component of $\vec b$ parallel to $\vec a$ is calculated by the following expression:

$\vec b_{\parallel} = (\vec b \bullet \hat{a}) \cdot \hat{a}$

Where $\hat{a}$ is the unit vector of $\vec a$ , dimensionless and $\bullet$ is the operator of scalar product.

The unit vector of $\vec a$ is:

$\hat{a} = \frac{\vec {a}}{\|\vec a\|}$

Where $\|\vec {a}\|$ is the norm of $\vec a$ , whose value is determined by Pythagorean Theorem.

The component of $\vec{b}$ parallel to $\vec {a}$ is:

$\|\vec {a}\| = \sqrt{3^{2}+(-1)^{2}+0^{2}}$

$\|\vec {a}\| = \sqrt{10}$

$\hat{a} = \frac{1}{\sqrt{10}} \cdot (3\,i-j)$

$\hat{a} = \frac{3}{\sqrt{10}}\,i -\frac{1}{\sqrt{10}} \,j$

$\vec{b}\bullet \hat{a} = (2)\cdot \left(\frac{3}{\sqrt{10}} \right)+(1)\cdot \left(-\frac{1}{\sqrt{10}} \right)+(-3)\cdot \left(0\right)$

$\vec b \bullet \hat{a} = \frac{5}{\sqrt{10}}$

$\vec b_{\parallel} = \frac{5}{\sqrt{10}}\cdot \left(\frac{3}{\sqrt{10}}\,i-\frac{1}{\sqrt{10}}\,j \right)$

$\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j$

Now, the component of $\vec {b}$ perpendicular to $\vec{a}$ is found by vector subtraction:

$\vec{b}_{\perp} = \vec {b}-\vec {b}_{\parallel}$

If $\vec b = 2\,i+j-3\,k$ and $\vec {b}_{\parallel} = \frac{3}{2}\,i-\frac{1}{2}\,j$ , then:

$\vec{b}_{\perp} = (2\,i+j-3\,k)-\left(\frac{3}{2}\,i-\frac{1}{2}\,j \right)$

$\vec b _{\perp} = \frac{1}{2}\,i+\frac{3}{2}\,j-3\,k$

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3 years ago

10 - 2 (3x + 4) < 11

Effectus [21]

Answer:

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Step-by-step explanation:

Given

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3 years ago

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ZanzabumX [31]

Answer:

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6 × - 1 = - 6 and 6 - 1 = + 5 , then

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equate each factor to zero and solve for x

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2 years ago

52 is what percent of 260​

52 is what percent of 260