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ziro4ka [17]
3 years ago
13

Estimate the sum 7 8/9 + 3.1

Mathematics
1 answer:
Yanka [14]3 years ago
3 0

Answer:

\large\boxed{7\dfrac{8}{9}+3.1=10\dfrac{89}{90}}

Step-by-step explanation:

\text{Convert the decimal to the fraction:}\\\\3.1=\dfrac{31}{10}=3\dfrac{1}{10}\\\\7\dfrac{8}{9}+3.1=7\dfrac{8}{9}+3\dfrac{1}{10}\\\\\text{The common denominator is 90.}\\90=9\cdot10\\\\7\dfrac{8}{9}=7\dfrac{8\cdot10}{9\cdot10}=7\dfrac{80}{90}\\\\3\dfrac{1}{10}=3\dfrac{1\cdot9}{10\cdot9}=3\dfrac{9}{90}\\\\\\7\dfrac{8}{9}+3.1=7\dfrac{80}{90}+3\dfrac{9}{90}=(7+3)+\dfrac{80+9}{90}=10\dfrac{89}{90}

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3 years ago
Rita paid $82 for 5 trees and 1 shrub. Lilly bought 2 trees and 1 shrub for $37. Find the cost per tree and the cost per shrub.
N76 [4]

Answer:

trees cost $15

Shrub cost $7

Step-by-step explanation:

Given data

Rita paid $82 for 5 trees and 1 shrub

5x+y= 82---------1

Lilly bought 2 trees and 1 shrub for $37

2x+y= 37----------2

from 1

y= 82-5x

put the value of y in 2

2x+82-5x= 37

2x-5x= 37-82

-3x=-45

x= 45/3

x=$15

put the value of x in 1

5(x)+y= 82

5*15+y=82

75+y=82

y=82-75

y=$7

Hence, trees cost $15

Shrub cost $7

4 0
3 years ago
There're some old video games you sell on Ebay for $6, $7 and $9. The titles include " The Pirates", "Under the sea" and "The dr
aniked [119]

Answer:

2/9

Step-by-step explanation:

We have 3 video games

I will assume that pirates have a water theme, so 2 have a water theme

That leaves 1 game with no water theme

P (no water theme) = games with no water theme/ total

                                =1/3

The games are 6 7 and 9 dollars

2 games are at least 7 dollars

P( at least 7 dollars) = games at least 7/ total

                                =2/3

P ( no water theme at least 7 dollars) = P (no water theme) * P( at least 7 dollars)

= 1/3*2/3

 = 2/9

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