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FromTheMoon [43]
3 years ago
8

Three times a number t minus twelve equals forty

Mathematics
1 answer:
tekilochka [14]3 years ago
5 0
3 · t - 12 = 40

3t - 12 = 40    |add 12 to both sides

3t = 52    |divide both sides by 3

t = 52/3

t = 17 1/3
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A large brine tank containing a solution of salt and water is being diluted with fresh water.
kirza4 [7]

Answer:

41.04 g/L

Step-by-step explanation:

The relationship is modeled by the following function:

S(t) = 500*e^(-0.25*t)

where t is time elapsed after the dilution begins (in hours) and S(t) the concentration of  salt in the tank (in g/L)

Replacing with t = 10

S(t) = 500*e^(-0.25*10)

S(t) = 41.04 g/L

6 0
3 years ago
Urgenttttt please I need it fast​
dolphi86 [110]

Answer:

Below in bold.

Step-by-step explanation:

c) 3 x (9^2)^3/4 x ((81^3)^5/6

= 3 x 81^3/4 x 81^15/6

= 3 x 81^(3/4 + 15/6)

= 3 x 81^13/4

= 3 x 3^13

= 3^14

= 4,782,969.

f) (5x^-1y^2)^-2 / (25 x^2 y - 1)^2

=  5^-2 x^2y^-4 / 625 x^4y^-2

=  5^-2 x^-2 y^-2 / 5^4

= 5^-6 x^-2y^-2

= 0.000064x^-2y^-2.

5 0
3 years ago
I need help this with use 3.14 and use a expression of a formula of area
kifflom [539]

Answer

Step-by-step explanation:

3 0
3 years ago
A car dealership sells suv's and passenger cars. For a recent year, 90 more suv's were sold than passenger cars. If a total of 5
Lunna [17]

Answer:

300 SUVs were sold.

210 Passenger cars were sold.

Step-by-step explanation:

Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.

The total amount of vehicles sold was 510, so:

S+P=510

90 more SUVs were sold than passenger cars. In other words:

S=90+P

We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:

90+P+P=510

Combine like terms:

2P+90=510

Subtract 90 from both sides:

2P=420

Divide both sides by 2:

P=210

So, the 210 passenger cars were sold.

This means that 210+90=300 SUVs were sold.

And we're done!

7 0
3 years ago
7.1.13 Question Help Use the sample data and confidence level given below to complete parts (a) through (d). A research institut
r-ruslan [8.4K]

Answer:

The Point estimate of the Population proportion  E = 0.039≅0.04

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the sample size 'n' = 992

  and                                     x = 570

The Population proportion

                                   p = \frac{x}{n} = \frac{570}{992} = 0.5745

<u><em>Step(ii):-</em></u>

<u><em>The point estimate of the Population proportion is determined by</em></u>

<u><em></em></u>E =   2.576 \frac{\sqrt{0.574(1-0.574)} }{\sqrt{992} }<u><em></em></u>

E = 0.039≅0.04

<u><em>Final answer</em></u>:-

The point estimate of the Population proportion  E = 0.039≅0.04

<u><em></em></u>

6 0
3 years ago
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