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3 years ago

What is the value of y 10 18 2y+4 10+2x

Mathematics

2 answers:

Sophie [7]3 years ago

8 0

10 = 2y + 4
6 = 2y
y = 3

18 = 10 + 2x
8 = 2x
x = 4

Nimfa-mama [501]3 years ago

8 0

Answer:

$y=3$

Step-by-step explanation:

Given figure is a rectangle.

In a rectangle , opposite sides are equal

to find out y we equate the opposite sides 10 and 2y+4

$10=2y+4$

Subtract 4 from both sides

$10-4=2y+4-4$

$6= 2y$

Divide both sides by 2

$y=3$

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3 years ago

An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3.

Shtirlitz [24]

Answer:

The cost of the material for the full-sized pad is;

d) 222,750.00

Step-by-step explanation:

The parameters of the steel pad and the scale model are;

The volume of the deck = 18 yd³

The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick

The weight of the sample, m₂ = 75 lbs

The cost of the steel, P = $55/lb

The dimensions of the sample in yards are;

6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0. $\overline 1$ yards

The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0. $\overline 1$ yd. = (1/3) yd.³

The density of the sample material, ρ = m₂/V₂

∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³

Therefore, the density of the material of the pad, ρ = 225 lbs/yd³

The mass of the steel pad, m₁ = ρ × V₁

∴ The mass of the steel pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs

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3 years ago

ZanzabumX [31]

Answer:

x = 4 is the solution

Step-by-step explanation:

given = x ( square both sides )

x + 12 = x² ( rearrange into standard form )

x² - x - 12 = 0 ← in standard form

(x - 4 )(x + 3 ) = 0 ← in factored form

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 3 = 0 ⇒ x = - 3

Insert these values into the original equation, and if both sides are equal, and those are the solutions.

x = 4 : = = 4 = x ← correct

x = - 3 : = = 3 ≠ - 3 ← false

the answer is x = 4

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2 years ago