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2 years ago

Write the fraction 375/12,500 as a decimal

1 answer:

6 0

$\frac{375}{12,500}\\\\divide\ a\ numerator\ and\ a\ denominator\ by\ 125\\\\375:125=3\\\\12,500:125=100\\\\therefore\\\\\frac{375}{12,500}=\frac{3}{100}=0.03$

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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.

DENIUS [597]

Answer:

$\frac{7}{\sqrt{3}}$

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

$d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |$ --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

$d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |$

$d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |$

$d = |\frac{(-7)}{\sqrt{3}} |$

$d = \frac{7}{\sqrt{3}}$

Therefore, the shortest distance from the point to the plane is $d = \frac{7}{\sqrt{3}}$

5 0

3 years ago

Show your working please.

iren2701 [21]

Offer B is the best value for money because each kg cost is £0.61 and in offer 'A' each kg cost is £0.7.

<h3>What is a fraction?</h3>

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:
2 bags for £35

2 bags means 50 kg (2×25)

Each kg cost = 35/50 = £0.7 per kg

3 bags for £92.50

3 bags means 150 kg

Each kg cost = 92.50/150 = £0.61 per kg

As we can see, offer B has a low cost per kg

Thus, offer B is the best value for money because each kg cost is £0.61 and in offer 'A' each kg cost is £0.7.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ1

6 0