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4 years ago

Ne is done for you. 8, 10(3 + 5) = 10(3) + 10(5)

Mathematics

1 answer:

Luden [163]4 years ago

6 0

10(3 + 5) = 10(3) + 10(5) = 30 + 50 = 80

Another way to do it:

10(3 + 5) = 10(8) = 80

Your final answer is 80.

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Multistep sandy charges each family that she babysits a flat fee of $10 for the night and an extra $5 per child.kimmi charges $2

inna [77]

Sandy: 10x + 5
Kimmi: 25x

If we want to know when the fees will be the same, we set the equations equal to each other and solve for x:
10x + 5 = 25x
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So the number of children has to be 3.

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3 years ago

In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of rice. How

timofeeve [1]

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3 years ago

Find the angle between vector u=2i+sqrt(11)j and v=-3i-2j to the nearest degree

const2013 [10]

Answer: Last option 155°

Step-by-step explanation:

We have the components of the vectors u and v.

Then, to find the angle between them, perform the following steps:

1) Calculate the scalar product u * v

If $u = 2i + \sqrt{11}j$ and $v = -3i-2j$

Then, the product scalar u * v is:

$u * v = (2)(-3) + (\sqrt{11})(-2)$

$u * v = -6-2\sqrt{11}$

$u * v = -12.633$

2) Calculation of the magnitude of both vectors.

$| u | = \sqrt{(2) ^ 2 + (\sqrt{11})^2}\\\\| u | = \sqrt{4+11}\\\\| u | = \sqrt{15}$

$| v | = \sqrt{(- 3) ^ 2 + (- 2) ^ 2}\\\\| v | = \sqrt{9 +4}\\\\| v | = \sqrt{13}$

3) Now that you know the product point between the two vectors and the magnitude of each, then use the following formula to find an angle

$u * v = | u || v |cos(\alpha)$

$-12.633 = \sqrt{15}\sqrt{13}*cos(\alpha)\\\\cos(\alpha) = \frac{-12.633}{\sqrt{15}\sqrt{13}}\\\\arcos(\frac{-12.633}{\sqrt{15}\sqrt{13}}) = \alpha\\\\\alpha =155\°$

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4 years ago

State two pairs of angles that are congruent. Justify your answer.

Bumek [7]

PNL and VNM; PNM and LNV. THis is because vertical angles are always congruent.

Hope this helps!

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3 years ago

If F(x) = 9x, which of the following is the inverse of F(x)?

Masja [62]

The inverse of this function is f^-1(x)=x/9

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3 years ago