The simplified mathematical expressions with the first factor to the nearest tenth are:
7.8 x 10
3.3 x 
2.1 x 
3.7
<h3>What are the
simplified mathematical expressions ?</h3>
Scientific notation is used to simplify large numbers in smaller numbers. In order to write a number in scientific notation , the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
(8.6 x 
) . (9.1 x 
)
= (8.6 x 9.1) x 
= 78.26 x
= 7.8 x 10
(6.9 x 
) . (4.8 x )
= 33.12 x 
3.3 x
(3.7 x 
) . (4.6 x ) ÷ (1.4 x 
) . (5.7 x 
)
= 1.7 x 10 ÷ 8 x10²
0.21 x 
2.1 x
(3.1 x ) . (5.3 x 
) ÷ (7.3 x ) . (6.1 x 
) = 3.7
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Answer:
x=4 and y=4
Step-by-step explanation:
From first function we have:
And from the second one:
Substitute them:
Answer:
56.3 kilometers per hour
Step-by-step explanation:
We know D = RT
where
D is distance
R is rate (speed)
T is time
Let's Bill's rate be "x". Thus using equation we can write:
D = xt
We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:
D = (21.1 + x)t
D = 21.1t + xt
Now, putting t = 1 in both since after 1 hour given, we have:
D = x(1)
D = x
and
D = 21.1(1) + x(1)
D = 21.1 + x
We know the sum of both the distance is 133.7, so we can write:
x + 21.1 + x = 133.7
Solving for x:
2x = 133.7 - 21.1
2x = 112.6
x = 112.6 / 2
x = 56.3 km/hr
This is Bill's rate: 56.3 kilometers per hour
LCD is 20
3/5 -> 12/20
1/20 -> 1/20
