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3 years ago

How do you solve 2/3 x- 7= 11 two step equation

Mathematics

1 answer:

zepelin [54]3 years ago

6 0

First you add seven to both sides to 2/3x - 7 = 11 will be 2/3x = 18 then you divide by 2/3 on both sides to get x by itself so 2/3x = 18 and x will be 1/27 in fraction form

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The number of bacteria growing in an incubation culture increases with time according to n left parenthesis t right parenthesis

Anon25 [30]

For this case we have the following function:
n (t) = 2400 * (5) ^ t
For n (t) = 60000 we have:
60000 = 2400 * (5) ^ t
We clear the value of t.
For this we use the logarithm:
(5) ^ t = 60000/2400
log5 ((5) ^ t) = log5 (60000/2400)
t = log5 (60000/2400)
t = 2 days
Answer:
the number of bacteria in the culture will be 60 comma 000 after:
t = 2 days

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3 years ago

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Phoenix [80]

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3 years ago

-3x + b = 6x, solve for x

natta225 [31]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Jane is building eight 3-legged stools. Each leg is 1/2 yard long. She can cut the legs from wooden rods that are sold in 2-yard

jonny [76]

Answer:

$n = 6\,rods$

Step-by-step explanation:

The total of legs needed to build the stools are:

$x = (8) \cdot (3)$

$x = 24$

Likewise the total length of the legs is:

$L_{tot} = 24\cdot (0.5\,yd)$

$L_{tot} = 12\,yd$

Lastly, the quantity of rods that needed to buy is:

$n = \frac{12\,yd}{2\,\frac{yd}{rod} }$

$n = 6\,rods$

6 0

3 years ago

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3ft long with a diameter of 2.2 ft . S

Contact [7]

4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5 $ft^{3}$ per minute.

Step-by-step explanation:

The given is,

Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.

Oil drained at a rate of 2.5 $ft^{3}$ per minute.

Step:1

Time taken to dry the oil tank is,

T = $\frac{Volume of oil}{Oil drain rate}$ ....................................(1)

Step:2

Volume of the oil is,

$V = \pi r^{2} h$ .................................................(2)

Where, r - Radius of Cylinder

$r = \frac{d}{2}$

$r = \frac{2.2}{2}$

r = 1.1 ft

From eqn (1),

V = $\pi$ × $1.1^{2}$ × 3

= 11.40398 $ft^{3}$

Step:3

From equation (1)

= $\frac{11.40398}{2.5}$

= 4.56

= 4.56 minutes

T = 4 minutes 34 seconds

Result:

Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.

4 0

3 years ago