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GalinKa [24]
2 years ago
7

40:10 = 12 : Equivalent ratio

Mathematics
1 answer:
Alex73 [517]2 years ago
5 0
40:10=12:3


Solution:

Since
40 : 10 = 12 : X

Then we know
10/40 = X/12

Multiplying both sides by 12 cancels on the right
12 × (10/40) = (X/12) × 12
12 × (10/40) = X

Then solving for X
X = 12 × (10/40)
X = 3

Therefore
40 : 10 = 12 : 3
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The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters
inna [77]

Answer:

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d

To find: distances when the ball is at the same height when either of the clubs  are used. Also, to find this height

Solution:

(a)

-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres

(b)

Put d = 100 in h=-0.002d^2+0.3d

h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres

4 0
3 years ago
Anderson Systems is considering a project that has the following cash flow and WACC data. What is the project's NPV? Note that i
AURORKA [14]

Answer:

$265.65

Step-by-step explanation:

Given :

WACC: 9.00%

Year 0 1 2 3 Cash flows (-$1,000) $500 $500 $500

The NPV is calculated thus :

Initial cashflow + Σ additional cash flows / (1 + r)

Rate, r = 9% = 0.09

(1 + r) = (1 + 0.09) = 1.09

NPV = - 1000 + (500 / (1.09)¹ + (500 / 1.09)² + (500 / (1.09)³

NPV = - 1000 + 458.71559 + 420.83999 + 386.09174

NPV = 265.64732

NPV = 265.65 (2 DECIMAL PLACES)

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3 years ago
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algol13

Answer:

11 cm

Step-by-step explanation:

To find radius just divide diameter of 22 by 2. The answer will be 11.

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1 year ago
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storchak [24]
1/8 of a quart would equal 1/4 of a pound

Hope this helps :)


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3 years ago
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Luden [163]

Answer:

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Step-by-step explanation:

I did the test and it was correct

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2 years ago
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