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3 years ago

If z is a positive integer, does 4+3(2z-5) represent a number that is greater than, less than, or equal to 2(3z-4)?

1 answer:

5 0

Let us plug in 1 for z. Now we can solve both expressions. 4+3(2x1-5) and 2(3x1-4) and we get that the first expression is equal to -5, and the second expression is equal to -2. So the expression 4+3(2z-5) represents a number that is less than 2(3z-4).

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I travelled at 60km/h and took 2 hours for a certain journey. How long would it have taken me if I had travelled at 50km/h?

Marina86 [1]

Answer:

2 hours and 24 minutes

Step-by-step explanation:

2 hours at 60 km/h means you have travelled 2*60=120 km

120 km at 50 km/h takes 120/50 = 2.4 hours

2.4 hours is 2 hours and 0.4*60 = 24 minutes.

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3 years ago

salma has been given a list of 5 bands and asked to place a vote. her vote must have the names of her favorite and second favori

AysviL [449]

Answer:2 votes are possible

Step-by-step explanation:

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3 years ago

Una piscina rectangular de 15 metros de largo por 9 metros de ancho està rodeada por un

stira [4]

Answer: 2 meters.

Step-by-step explanation:

Let w = width of the cement path.

Dimensions of pool : Length = 15 meters , width = 9 meters

Area of pool = length x width = 15 x 9 = 135 square meters

Along width cement path, the length of region = $2w+15$

width = $2w+9$

Area of road with pool = $(2w+15) (2w+9)$

$= 4w^2+30w+18w+135\\\\=4w^2+48w+135$

Area of road = (Area of road with pool ) -(area of pool)

$\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\ w=-14\ or \ w=2$

width cannot be negative, so w=2 meters

Hence, the width of the road = 2 meters.

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3 years ago

$14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously. How much will be in the

Svetlanka [38]

Option A = $15,748.096
Formula for compound interest = P(1+Interest Rate)^n
=> 14000(1.04)^3
=$15,748.096

8 0

2 years ago

Given f(x)=2/5(6-x)^2 what is the value of f(6)?

bulgar [2K]

Answer:

Step-by-step explanation:

f(x) = 2/5(6 - x)²

f(6) = 2/5[6 - (6)]²

f(6) = 2/5(0)²

f(6) = 0

5 0

3 years ago