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ziro4ka [17]
3 years ago
7

Which expression is equivalent to 13x(9y – 12)? A. 3xy − 4 B. 3xy − 4x C. 3xy − 12 D. 3y − 4x

Mathematics
1 answer:
KonstantinChe [14]3 years ago
4 0

Answer:

<h2>B. 3xy − 4x</h2>

Step-by-step explanation:

step one:

Given the expression  13x(9y – 12) we are expected to expand the expression to obtain a similar expression given in the options

step two

we proceed by

= 13x(9y-12)\\\\=(117xy-156x)

step three

we proceed to both terms in the expression

bt a common factor which is 39

\frac{117xy}{39}-\frac{156x}{39}

3xy-4x

From our analysis, the option D matches the expression

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Answer:

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Step-by-step explanation:

Number of cities as stopovers available for selection for an European tour = 15

A traveler has to select a total of five cities from these the given 15 cities for his tour and order is determined by the travel company.

Therefore the number of ways the traveler plan such a tour is given by \left[\begin{array}{ccc}15\\5\end{array}\right] = 3003.

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3 years ago
Solve the right triangle ABC with right angle C if B=30 degrees and c=10.
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3 years ago
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<img src="https://tex.z-dn.net/?f=%20%5Cpi%20%20x%5E%7B2%7D%20" id="TexFormula1" title=" \pi x^{2} " alt=" \pi x^{2} " align="
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The formule is about area of a circle.

\pi x^{2} = a

We need to solve the equation for x. Where x is the radius of the circle.

In order to solve it for x, we need isolate it for x on left side.

So, first we need to get rid pi from left side.

On dividing both sides by pi, we get

\frac{\pi x^2}\pi}=\frac{a}{\pi}

x^2=\frac{a}{\pi}

Taking square root on both sides, we get

\sqrt{x^2}=\sqrt{\frac{a}{\pi}}

x=\sqrt{\frac{a}{\pi}}


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3 years ago
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Answer:

Then, it costs $2120 to order 1000 pens and 2000 notebooks.

Step-by-step explanation:

The Students' Union needs to order 1000 pens and 2000 notebooks. The price per pen when buying 1000 of them is 60c. The price per notebook when buying 2000 of them is 76c.

Then the total of money needed to order 1000 pens and 2000 notebooks is:

Total Money = 1000 × 0.60 + 2000 × 0.76 = $2120

Then, it costs $2120 to order 1000 pens and 2000 notebooks.

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