Answer:
volume of cuboid=l×w×h
volume of cuboid=4×5×3=60cm³
(6,5)---------------(1,2)-------------------(x2,y2)
6+x2/2=1
5+y2/2=2
6+x2=2
x2=-4
y2=4-5
y2=-1
(-4,-1)
answer is C
To get operations easier lets get their denominators equal, that would be converting both to 16, lets start with that:
(3/4) = (4/4)<span>(3/4) = 4*3/*4*4 = 12/16
so, 3/4 = 12/16 they are equivalent, we can now perform the sum easily:
</span><span>3/4 + 1/16
= </span>12/16 <span>+ 1/16
= 13/16
that is the result in the lowest terms because we cannot reduce that fraction any more.</span>
Answer:
the two expressions are equivalent.
Step-by-step explanation:
We know that f(x)= 3x-7 and g(x)= -2x+5, therefore:
f(x) - (-g(x)) = 3x-7 - ( +2x-5) = 3x - 7 - 2x + 5 = x -2
f(x) + g(x) = 3x-7 -2x + 5 = x - 2
Therefore, f(x) - (-g(x)) is equivalent to f(x) + g(x).
Another way to check that the two expressions are equivalent is by solving the parenthesis:
f(x) - (-g(x)) → f(x) + g(x)
Therefore, the two expressions are equivalent.
Answer:
number of songs = 9 songs
Step-by-step explanation:
According to Marcus the the song are each 3 start fraction , 1 divided by 2 end fraction minutes long. This can be expressed mathematically as 3 1/2 minutes long.
The slide show is 31, start fraction , 1 divided by, 2 end fraction minutes. This can be expressed also as 31 1/2 minutes long. The slide show contains the entire song.
Recall each song is 3 1/2 minutes long . The whole number fraction can be converted to improper fraction as 7/2 minutes long.
The whole slides show can be converted to improper fractions as 63/2 minutes long.
The number of song in the slideshow can be solved when we divide the total time in the slideshow by the time of each song.
number of songs = 63/2 ÷ 7/2
number of songs = 63/2 × 2/7
number of songs = 63/7
number of songs = 9 songs
