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sveticcg [70]
3 years ago
8

A water tank holds 944 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds 1,180 gallons but is le

aking at a rate of 9 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Mathematics
1 answer:
podryga [215]3 years ago
8 0

Answer:

59

Step-by-step explanation:

The equation is

944 - 5x = 1180 - 9x

Notice what is being said. You start with 944 gallons and take off 5 per week

You also start with 1180 gallons and take on 9 per week.

You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.

Add 9x to both sides

944 - 5x + 9x = 1180

944 + 4x = 1180                

Subtract 944 from both sides.

4x = 1180 - 944

4x = 236      

Divide by 4

x = 236/4

x = 59 weeks

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3 years ago
Need Help Please, This One Is A Bit Difficult.
emmainna [20.7K]

Answer: 432 units²

Step-by-step explanation:

The figure is composed by two trapezoids.

The formula for calculate the area of a trapezoid is:

A=\frac{h}{2}(B+b)

Where "B" is the larger base, "b" is the smaller base and "h" is the height.

Let be A_f the area of the figure, A_1 the area of the trapezoid on the left and A_2 the area of the trapezoid of the right. Then the area of the figure will be:

 A_f=A_1+A_2

A_f=\frac{h_1}{2}(B_1+b_1)+\frac{h_2}{2}(B_2+b_2)

Substituting values, you get:

A_f=\frac{16units}{2}(25units+4units)+\frac{10units}{2}(25units+15units)=432units^2

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8 0
3 years ago
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Help with this exponential function!
butalik [34]

The population size after 6 years and after 8 years are 147 and 169 population respectively

<h3>Exponential functions</h3>

The standard exponential function is expressed as y = ab^x

where

a is the base

x is the exponent

Given the function that represents the population size P (t) of the species as shown;

p(t)=\frac{550}{1+5e^{-0.1t}} \\

For the population size after 6 years

p(t)=\frac{550}{1+5e^{-0.1(6)}} \\P(6)=\frac{550}{3.744}\\ P(6)=147 population

For the population after 8 years

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Hence the population size after 6 years and after 8 years are 147 and 169 population respectively

Learn more on exponential function here: brainly.com/question/2456547

#SPJ1

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Vika [28.1K]

(x+4)^2 / 9 - (y+3)^2 / 16 = 1


a^2 = 16 and b^2 = 9

a = +4 and -4

b = +3 and -3


Center is (-4, -3)

Vertices is (-4 + a, -3) and (-4 - a, -3)

Vertices is (-1, -3) and (-7, -3)

8 0
3 years ago
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