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3 years ago

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amy buys 50 computers. she pays £160 for each computer. amy is going to sell some of the computers. she wants to get at least 35

% more than she paid for all the computers. she is going to sell each computer for £400. work out the smallest number of computers amy needs to sell

1 answer:

Dmitry [639]3 years ago

3 0

She need to sell 7 computers

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Witch Decimal is equal to six-tenths?<br><br> 0.6 0.15 0.2 0.3 0.4

miss Akunina [59]

0.6 matches with six-tenths because if you divide 6 and 10 together you will get 0.6

Hope this helped! :)

~Shadow

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3 years ago

Rectangle ABCD has vertices at (-7,-2); (1, -2); (1, -8); and (-7, -8) respectively. If GHJK is a similar rectangle where G(2, 5

Minchanka [31]

Answer:

J (6,2) K (2,2)

Step-by-step explanation:

Now distance of AB = [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 8 units

CB = [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 6 units by using same formula

Now AB/CB must equal to GH/HJ as rectangles are similar

GH = [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 4 units

so

8/6 = 4/HJ

So,

HJ = 3 units

Now if we see the coordinates given carefully, it is obvious that two perpendicular lines lie perfectly parallel to x and y coordinates in rectangle ABCD. A is (-7,-2) and B is (1,-2) which means distance along y-axis doesn't change. Similarly for C (1,-8) and D (-7,-8), one can see that distance between y-axis doesn't change. So lines AB and CD of rectangle are parallel with x and AD and BC are parallel with y-axis.

In rectangle GHJK one can see that in given coordinates, G(2,5) and H(6,5), y coordinate is same so it is parallel to x axis. Now, HJ is perpendicular to GH so it must be parallel to y axis. It means if we know the lengths of sides we can easily determine unknown coordinates by simple addition and subtraction.

So, we know HJ = 3 units

J is (6,2) since HJ is parallel to y axis so distance on x axis will remain unchanged and length of line HJ will effect distance of y axis.

Similarly K is (2,2) for the same reason.

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3 years ago

You want to go to the skate park, and you have two options:

Tcecarenko [31]

Answer:

See Explanation

Step-by-step explanation:

<u>Define the variables</u>

Let the entry fee be c and the hourly rate be m

Let the number of hours be x and the total amount be y

<u>Work to solve</u>

For Sami's skate

$c = 6$ and $m = 2$

For Brad's skate

$c =10$ and $m = 1$

<u>The equations</u>

The equation is derived using: $y = mx + c$

For Sami's skate

$y = 2x + 6$

For Brad's skate

$y = x + 10$

<u>When the cost are the same</u>

To do this, we equate both expressions

i.e.

$y = y$

$2x + 6 = x + 10$

$2x -x = 10 - 6$

$x = 4$

i.e. the cost are the same at the 4th hour

<u>What is the cost</u>

Substitute 4 for x in any of the equations

$y = x + 10$

$y = 4 + 10$

$y = 14$

<em>The cost is $14.00</em>

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2 years ago

Suppose y varies directly as x², and y = 160 when x = 4. Find y when x = 6.

labwork [276]

<u>Finding the constant of proportionality</u> :

y = kx²
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y = 10(6)²
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The value of y is <u>360</u> when x = 6.

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2 years ago

21/50 of the seats for the football game have been sold. This is equal to what decimal?

valentinak56 [21]

First make the fraction over 100

21/50(2/2) = 42/100

42/100 = 0.42

0.42 is your answer

hope this helps

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3 years ago