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dangina [55]
4 years ago
7

The width of rectangle A is the sum of twice a number and 8. The length of the rectangle is 3 times as great as the width. If th

e perimeter is 96, find the length and the width.
Mathematics
1 answer:
Igoryamba4 years ago
8 0

width = 2n+8

length = 3 * width = 3*(2n+8) = 6n+24

Perimeter = 2(l+w)

                  = 2(  6n+24 + 2n+8)

                  = 2( 8n+32)

           96   = 16n +64

          -64            -64

--------------------------------------

        32  = 16n                              divide by `16

        2 = n

width = 2n+8 = 2*n + 8=  4 + 8 = 12

length = 3*width = 3*12 = 36

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Answer:

His savings were of $4,200.

Step-by-step explanation:

Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:

This means that the son and daughter amount is:

\frac{5}{14} + \frac{2}{3}(\frac{9}{14})

As \frac{9}{14} is the remained that his son did not get. So

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Fraction his wife got:

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If his wife got $900, what were his savings?

Total savings are x, wife got \frac{9}{42} of x. So

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x = 4200

His savings were of $4,200.

5 0
3 years ago
Please solve this simultaneous equation, i'm not that good at it.<br><br> 2r-s=10<br> rs-s^2=12
o-na [289]

Answer:

s = 6, r = 8 or s = 4, r = 7

Step-by-step explanation:

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sub (1) into (2):

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therefore s = 6 or s = 4

when s = 6, r = 8 and when s = 4, r = 7

if you would like to discover more about simultaneous equations, you can have a look at my Instagram page (learntionary). I'll be posting mathematics related stuff there and some of my notes (simultaneous enq notes are already posted!)

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