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2 years ago

13

A car is on sale for R 95 850.If a deposit of 9 580 is paid ,how much is still owed on the car ?

1 answer:

Furkat [3]2 years ago

3 0

Answer:

Step-by-step explanation:

95 850-9 580=86270

R 86 270 is still owed for the car

Hope it helps!

:D

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How to know if a number is proportional

Dafna1 [17]

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. To see this process in action, check out this tutorial!

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2 years ago

MARSVECTORCALC6 3.4.020. My Notes A rectangular box with no top is to have a surface area of 64 m2. Find the dimensions (in m) t

ioda

Answer:

We would have

$l =w =\frac{8\sqrt{3}}{3} \\h = \frac{8\sqrt{3}}{6}$

where " l " is length, " w" is width and "h" is height.

Step-by-step explanation:

Step 1

Remember that

Surface area for a box with no top = $lw+2lh+2wh = 64$

where " l " is length, " w" is width and "h" is height.

Step 2.

Remember as well that

Volume of the box = $l*w*h$

Step 3

We can now use lagrange multipliers. Lets say,

$F(l,w,h) = lwh$

and

$g(l,w,h) = lw+2lh+2wh = 64$

By the lagrange multipliers method we know that

$\nabla F = \lambda \nabla g$

Step 4

Remember that

$\nabla F = (wh,lh,lw)$

and

$\nabla g = (w+2h,l+2h , 2w+2l)$

So basically you will have the system of equations

$wh = \lambda (w+2h)\\lh = \lambda (l+2h)\\lw = \lambda (2w+2l)$

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

$lwh = l\lambda (w+2h)\\\\lwh = w\lambda (l+2h)\\\\lwh = h\lambda (2w+2l)$

Then you would get

$l\lambda (w+2h) = w\lambda (l+2h) = h\lambda (2w+2l)$

You can get rid of $\lambda$ from these equations and you would get

$lw+2lh = lw+2wh = 2wh+2lh$

And from those equations you would get

$l = w =2h$

Now remember the original equation

$lw+2lh+2wh = 64$

If we plug in what we just got, we would have

$l^{2} + l^{2} + l^2 = 64 \\3l^{2} = 64 \\l = w = \frac{8\sqrt{3} }{3} \\h = \frac{8\sqrt{3} }{6}$

7 0

2 years ago

The cone and cylinder above have the same radius and height. The volume of the cylinder is 63cm. What is the volume of the cone?

Sonbull [250]

V( cone ) = 21 cm³

note Vof cone = $\frac{1}{3}$ V of cylinder

V ( cone ) = $\frac{1}{3}$ × 63 = 21 cm³

4 0

2 years ago

Split £100 into the ratio 5:4:1

zhannawk [14.2K]

X = 100 : 10 = 10
5x : 4x : x
50 : 40 : 10

7 0

2 years ago

PLS HELP <br> solve the system of equation using elimination:<br> 3x+y=-2<br> 5x-y=-10

vredina [299]

Answer:

(-3/2, 5/2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS
Equality Properties

<u>Algebra I</u>

Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

3x + y = -2

5x - y = -10

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Eliminate y</em>

Add 2 equations together: 8x = -12
Divide 8 on both sides: x = -12/8
Simplify fraction: x = -3/2

<u>Step 3: Solve for </u><em><u>y</u></em>

Define original equation: 3x + y = -2
Substitute in <em>x</em>: 3(-3/2) + y = -2
Multiply: -9/2 + y = -2
Add 9/2 on both sides: y = 5/2

5 0

2 years ago