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nikdorinn [45]
3 years ago
15

If y varies jointly with x and z and y=90 when x=2 and z=9, find x when y=105 and z=3

Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0

Answer:

Step-by-step explanation:

y & xz

y = kxz

k = y/xz

When y = 90, x = 2 and z = 9

k = 90/(2×9) = 10/2

k = 5

y = 5xz

When y = 105 and z = 3

105 = 5×3x

105 = 15x

x = 105/15

x = 7

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Firlakuza [10]

Answer:

= log_{10}(\frac{6\sqrt{2} }{\sqrt{7} } )

Step-by-step explanation:

Given the expression log10\sqrt{36} + log10\sqrt{2}  - log10\sqrt{7} \\

According to the law of logarithm;

loga + log b = log(ab) and log a - log b = log(a/b)

The given expression becomes;

log10\sqrt{36} + log10\sqrt{2}  - log10\sqrt{7} \\= log_{10}(\frac{\sqrt{36} \times \sqrt{2} }{\sqrt{7} })\\= log_{10}(\frac{6\sqrt{2} }{\sqrt{7} } )

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3 years ago
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Answer:

the sausage pizza has 12 mushrooms on it.

7 0
3 years ago
Company has 189 employees that share an office that has 32 floors. If they built another building for 50 employees, how high sho
iris [78.8K]

Answer:

8 floors

Step-by-step explanation:

The number of employees is directly proportional to the number of floors that each building has.

The first building has 32 floors and it occupies 189 employees. Therefore:

189 α 32

=> 189 = k * 32 = 32k

where k = constant of proportionality

=> k = 189/32

The new building has 50 employees, therefore:

50 = kN

where N = number of floors

=> 50 = 189/32 * N

N = (50 * 32) / 189 ≅ 8 floors

The new building should have 8 floors

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3 years ago
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Answer:

see below

Step-by-step explanation:

-1.5

Integers have no fractional parts

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3 years ago
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