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3 years ago

Zoe and hannah share tips in the ratio 3:7 last week zoe recieved £24 how much did hannah recive last week

Mathematics

1 answer:

torisob [31]3 years ago

8 0

Answer:

Step-by-step explanation:

Zoe and Hannah shared tips in the ratio

3:7

Last week Zoe received $24

Hence the amount received by Hannah can be calculated as follows

3/7= 24/x

168= 3x

x= 168/3

= 56

Hence Hannah received €56

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The higher interest rate of a cash advance on a credit card with an existing balance can be eliminated by paying the cash advanc

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3 years ago

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The standard form of the equation of a circumference is given by the following expression:

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On the other hand, the general form is given as follows:

 $x^{2}+y^{2}+Dx+Ey+F=0 \\ \\ where: \\ D=-2h, \ E=-2k, \ F=h^{2}+k^{2}-r^{2}$ 

In this way, we can order the mentioned equations as follows:

Equations in Standard Form:

 $\bold{a)} \ (x-6)^{2}+(y-4)^{2}=56 \\ \bold{b)} \ (x-2)^{2} + (y+6)^{2}=60 \\ \bold{c)} \ (x+2)^{2}+(y+3)^{2}=18 \\ \bold{d)} \ (x+1)^{2}+(y-6)^{2}=46$

Equations in General Form:

$\bold{1)} \ x^{2}+y^{2}-4x+12y-20=0 \\ \bold{2)} \ x^{2}+y^{2}+6x-8y-10=0 \\ \bold{3)} \ 3x^{2}+3y^{2}+12x+18y-15=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 3, \ the \ equation \ becomes: \\ x^{2}+y^{2}+4x+6y-5=0 \\ \\ \bold{4)} \ 5x^{2}+5y^{2}-10x+20y-30=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 5, \ the \ equation \ becomes: \\ x^{2}+y^{2}-2x+4y-6=0 \\ \\ \bold{5)} \ 2x^{2}+2y^{2}-24x-16y-8=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 2, \ the \ equation \ becomes: \\ x^{2}+y^{2}-12x-8y-4=0$

$\bold{6)} \ x^{2}+y^{2}+2x-12y$

So let's match each equation:

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Then, its general form is:

$x^{2}+y^{2}-12x-8y-4=0$

First. a) matches 5) 

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Then, its general form is:

$x^{2}+y^{2}-4x+12y-20=0$

Second. b) matches 1) 

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Then, its general form is:

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Then, its general form is: $x^{2}+y^{2}+2x-12y-9=0$

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Answer:

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Every Wednesday, Carla runs 2.5 miles. How many feet did she run?

Inessa05 [86]

Answer:

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Step-by-step explanation:

There are 5280 feet in a mile, so multiply 5280 by 2.5

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So, every Wednesday, she runs 13,200 feet

Hope this helps! :)

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