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jeyben [28]
3 years ago
10

What is 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) simplified? 0.2 [5x + (–0.3)] + (–0.5)(–1.1x + 4.2) x – 2.16

Mathematics
2 answers:
vichka [17]3 years ago
8 0

Answer:

1.55x-2.16

trust meeeee

dedylja [7]3 years ago
6 0

0.2(5x – 0.3) – 0.5(–1.1x + 4.2) = 6.5x – 2.06

Solution:

Given expression is 0.2(5x – 0.3) – 0.5(–1.1x + 4.2).

To simplify the expression, first multiply the common term within the bracket.

0.2(5x – 0.3) – 0.5(–1.1x + 4.2)

            = (5x × 0.2 – 0.3 × 0.2)  + (–1.1x × (–0.5) + 4.2 × (–0.5))

            = (1x – 0.06) + (5.5x – 2.1)

            = x – 0.06 + 5.5x – 2

Combine like terms together.

            = x + 5.5x – 0.06 – 2

            = 6.5x – 2.06

0.2(5x – 0.3) – 0.5(–1.1x + 4.2) = 6.5x – 2.06

Hence the simplified form of 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) is 6.5x – 2.06.

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Read 2 more answers
Fiona and Camilla took a load of peaches to the farmer’s market. During the first hour, they sold ½ of the peaches plus ½ of a p
Lana71 [14]
<em>They took 101 peaches to market.</em>

<u>Check:</u>

In the 1st hour, they sold (101/2 + 1/2) = 102/2 = 51.  They had 50 left.

In the 2nd hour, they sold (50/3 + 1/3)=51/3=17.  They had (50-17)=33 left.

In the 3rd hour, they sold (33/4 + 3/4) = 36/4 = 9.  They had (33-9) = 24 left.

In the final hour, they sold (24/5 + 1/5) = 25/5 = 5.  They had (24-5) = 19 left.  yay!

Fiona and Camilla took their 19 remaining peaches and went home.  Sharing with
their parents and their brother Rowlf, each person had 3.8 peaches for dinner.
There was a lot of activity in the bathroom overnight.

================================================

The key to solving this one is to work it backwards.

-- They had 19 peaches left at the end of the day.

-- During the final hour, the 1/5 of a peach that they sold left them with 19,
so they had 19-1/5 before they sold the 1/5 of a peach.
The 19-1/5 was 4/5 of what they had at the beginning of the final hour.
So, at the beginning of the final hour, they had (5/4)x(19.2) = 24 .

-- During the 3rd hour, the 3/4 of a peach that they sold left them with 24,
so they had 24-3/4 before they sold the 3/4 of a peach.
The 24-3/4 was 3/4 of what they had at the beginning of that hour.
So, at the beginning of the 3rd hour, they had (4/3)x(24.75) = 33 .

Do the same for the 2nd hour.

Then do the same for the 1st hour.

And you'll work your way back up to 101 peaches.


4 0
3 years ago
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