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3 years ago

Solve the equation for x. 1 6 (2x − 12x) = 30 A) −12 B) −15 C) −18 D) −24

Mathematics

2 answers:

lubasha [3.4K]3 years ago

8 0

$\frac{1}{6}$ *(2x-12x) = 30

$\frac{1}{6}$ *(-10x) = 30

$\frac{-10}{6}$ x = 30

$\frac{-5}{3}$ x = 30

$\frac{5}{3}$ x = -30

x = -30/ $\frac{5}{3}$ = -30 * $\frac{3}{5}$

x = -18

the correct answer is C

Bess [88]3 years ago

6 0

Answer:

Step-by-step explanation:

−18

(2x − 12x) = 30

x − 2x = 30

x −

x = 30

−

x = 30

x = 30(−

)

x = −

x = −18

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2. Inverse Proportionality:

In this case, the relationship is:

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So, the constant of proportionality is:

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3 years ago

A can of tomato soup is 4 1/4 inches tall and has a diameter of 3 inches. The company that makes the cans uses sheets of metal t

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Answer: a) 21 cans

b) 10.83 square inches.

Step-by-step explanation:

The cans are cylinders of 4 and 1/4 inches tall (or 4.25 in)

and the diameter is 3 inches.

The surface of a cylinder is equal to:

S = pi*r^2 + h*2*pi*r

where r is the radius, half of the diameter, so we have that r = 3in/2 = 1.5 in.

h is the height, h = 4.25 in

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Then the surface needed for a can is:

S = 3.14*1.5^2 + 4.25*2*3.14*1.5 = 47.1 square inches.

if the sheet is 1000 in^2, we can make an amount of:

N = 1000/47.1 = 21.23

but we can not do a 0.23 of a can, so we need to round down.

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3 years ago

Read 2 more answers

To predict the number of species (n) that live in a region of some area (A), biologists use the logarithmic model n = k log A, w

iren [92.7K]

Answer:

There are 5193 species will be left

Step-by-step explanation:

* Lets explain how to solve the problem

- The number of species (n) that live in a region of some area (A), can

be found by using the logarithmic model n = k log A where k is

a constant

- If 5,800 species live in a rain forest that has an area of 750 square

kilometers

∴ n = 5800 species

∴ A = 750 km²

- Substitute the value of A and n in the equation to fined k

∵ A = 750 , n = 5800

∵ n = k log A

∴ 5800 = k log (750)

- Divide both sides by log (750)

∴ k = 5800 ÷ log (750)

∴ k = 2017.34

- Lets substitute the value of k in the equation

∴ n = 2017.34 log A

- The half of the rain forest is destroyed due to an amusement park

being built there

∴ The new area is 1/2 the old area

∵ The old area is 750

∴ The new area = 1/2 × 750 = 375 km²

- Lets substitute this value in the equation to find the number of

species will be left in the new area

∵ A = 375

∴ n = 2017.34 log (375) = 5192.696 ≅ 5193

∴ There are 5193 species will be left

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