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3 years ago

2(x-3)=3/4(8x-12) step by step please

Mathematics

1 answer:

Umnica [9.8K]3 years ago

7 0

Answer:

$x = \frac{3}{4}$

Step-by-step explanation:

$2(x-3)=\frac{3}{4} (8x-12)$

$2x-6 = \frac{3}{4}8x- \frac{3}{4} 12$

$2x-6 = 6x - 9$

$-6+9 = 6x - 2x$

$3 = 4x$

$x = \frac{3}{4}$

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Plot the y -intercept first which is -5 and mark the points using the slope which is -1 . Join the points. So pink line in the graph is y = -x-5

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2 years ago

If candy cost $5.99 a pound how much would it cost to buy four and a quarter pounds of candy

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3 years ago

How to solve for y 3y=2x+15

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2 years ago

A pyramid-shaped vat has square cross-section and stands on its tip. The dimensions at the top are 2 m × 2 m, and the depth is 5

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Answer:

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Step-by-step explanation:

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For the diagonal in the pyramid

tg Ф = Side Length/ Height = L / H = x / h

where h= depth of water , x= side of the corresponding cross section

therefore x= L *h/H

the volume of the water is

v= 1/3 h*x² = 1/3 (L/H)² h³

in terms of time

v = Q*t

then

Q*t = 1/3 (L/H)² h³

h³ = 3*(H/L)² *Q *t

h = ∛(3*(H/L)² *Q *t) = ∛(3*(H/L)² *Q) *∛t = k* ∛t , where k=∛(3*(H/L)² *Q)

h = k* ∛t

then the rate of increase in depth is dh/dt

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since

t = (h/k)³

dh/dt = 1/3*k* t^(-2/3) = 1/3*k* (h/k)³ ^(-2/3) = 1/3*k* (h/k)^(-2) = 1/3 k³ / h²

= 1/3 (3*(H/L)²*Q) / h² = (H/L)²*Q /h²

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replacing values, when h=4m

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