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hodyreva [135]
3 years ago
5

Find the difference and write it in simplest form 7 3/8 - 2 7/9

Mathematics
1 answer:
Papessa [141]3 years ago
4 0
Well first you have to turn the mixed number into a improper fraction.
7 2/8=59 over 8
2 7/9=25 over 9
Then u would multiply the 59 by 9 and 8 by 9 and u should get 531 over 72 and for the second fraction u should multiply the 25 by 8 and the 9 by 8 and you should get 200 over 72 as a improper fraction.
Then you have to subtract 531 over 72 by 200 over 72 and u should get 231 over 72 which is 4 and 43 over 72 when simplified.
The answer: 4 43/72
Hope this helps!!!!

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Dylan read his book for 2 2/3 hours and Faith read her's for 1 1/5.How much longer did did Dylan read then Faith?
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Answer:

1 7/15

Step-by-step explanation:

2-1=1

then you make 2/3 and 1/5 have the same denominator -

5*3=15

?/15                       ?/15

multiply 2 by 5 which is 10, so 10/15

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3 years ago
Find the smallest zero of f(x+5)
podryga [215]

ANSWER

1. k=13

2. x=-10

EXPLANATION

The given function is

f(x) =  {x}^{2}   + 3x  - 10

To find f(x+5), plug in (x+5) wherever you see x.

This implies that:

f(x) =  {(x + 5)}^{2}   + 3(x + 5) - 10

Expand:

f(x) =   {x}^{2}    + 10x + 25+ 3x + 15- 10

Simplify to obtain

f(x) =   {x}^{2}    + 13x + 30

We now compare with,

f(x) =   {x}^{2}    + kx + 30

This implies that:

k = 13

To find the smallest zero of f(x+5), we equate the function to zero and solve for x.

{x}^{2}    + 13x + 30 = 0

{x}^{2}   + 10x + 3x + 30 = 0

x(x + 10) + 3(x + 10) = 0

(x + 3)(x + 10) = 0

x =  - 10 \: or \: x =  - 3

The smallest zero is -10.

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