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3 years ago

He difference of two numbers is 50. twice one number equals three times the other. find the numbers.

1 answer:

6 0

X-y=50 and 2x=3y
x=y+50 so 2(y+50) = 3y

2y+100=3y
y=100

x-100=50
x=150

so our numbers are 150 and 100

150-100=50 and 150 is 3*50 and 100 is 2*50 so fits all requirements!

hope this helps you! thank you!

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Step-by-step explanation:

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A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112 feet per second. The height h

Masja [62]

Answer:

Step-by-step explanation:

a)The height h after t seconds is given by the equation h(t)=-16t^2+112t+5.

Where 5 represents 5feet above the ground and this is the height from which the rocket was launched.

The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height travelled by the rocket.

The vertex of the parabola is calculated as follows,

Vertex = -b/2a

From the equation,

a = -16

b = 112

Vertex = - - 112/32= 3.5

So the rocket will attain maximum height at 3.5 seconds.

It will also take 3.5 seconds to reach the ground. This means it will take a total of 3.5 seconds + 3.5 seconds

= 7 seconds to hit the ground.

b) to find time it will take to be 100 feet above the ground,

-16t^2+112t-95 = 0

Using general quadratic equation formula,

a = -16

b = 112

c = -95

t = [-b+/-√b^2-4ac]/2a

t = [ -112 +/-√112^2-4×-16×-95]/16 × -2

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3 years ago

Mario invests £2000 for 3 years at 5% per annum compound interest. Calculate the value of the investment at the end of 3 years.

Delicious77 [7]

Answer:

$2315.25

Step-by-step explanation:

Given data

Principal= £2000

Time= 3 years

Rate= 5%

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A= 2000(1+0.05)^3

A= 2000(1.05)^3

A= 2000*1.157625

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3 years ago

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu

dolphi86 [110]

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

The graph is missing; however, the question can still be solved

Given

Slope = 1.55

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Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

$y = mx + b$

Where y is the function of x and m is the slope

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Substitute these values in the linear function; $y = mx + b$

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$y = 38.54$

Hence, the monthly cost for 9 HCF is $38.54

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3 years ago

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