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nlexa [21]
3 years ago
13

Simplify: 1. 4x−(1−2x)+(2x−7) 2. (3−0.4a)−(10−0.8a)

Mathematics
1 answer:
dem82 [27]3 years ago
7 0

Answer:1.8(x -1)

2.0.4a -7

Step-by-step explanation:

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Beaker A contains 1 liter which is 15 percent oil and the rest is vinegar, thoroughly mixed up. Beaker B contains 2 liters which
Tanzania [10]

Answer:

Add 1.25 litres of oil.

Step-by-step explanation:

Contents in beaker A implies;

15% of oil in 1 litre = 0.15 litres of oil

So that, there are 0.15 litres of oil and 0.85 litres of vinegar in beaker A.

Contents in beaker B implies:

55% of oil in 2 litres = 1.1 litres of oil

So that, thee are 1.1 litres of oil and 0.9 litres of vinegar in beaker B.

Half of contents of B poured into A implies that beaker A now contains:

0.15 litres + 0.55 litres = 0.7 litres of oil

0.85 litres + 0.45 litres = 1.3 litres of vinegar

The percentage of oil in A now = \frac{0.7}{2} x 100%

                                                    = 35%

To increase the percentage of oil to 60%, then:

0.7 litres + 1.25 litres = 1.95 litres of oil

But the new total litres of the content in beaker A = 3.25 litres

So that;

\frac{1.95}{3.25} x 100% = 60%

Therefore, to produce a mixture which is 60% oil, add 1.25 litres of oil.

7 0
3 years ago
Find the Area ( PLEASE LEAVE EXPLANATION)
LenaWriter [7]

Answer:

28 ft²

Step-by-step explanation:

Hello There!

To solve for the area of an irregular shape we want to split the irregular shape into regular shapes

For this irregular shape we would split it into a square with a side length of 2ft and a rectangle with a length of 6ft and a width of 4ft ( width was found subtracting total height of irregular figure (6ft) from height of square (2ft) 6ft - 2ft = 4ft so the width would be 4ft)

now we can easily solve for the area of each individual shape

area of square -

the area of a square can simply be found by raising the side length to the power of 2

so

a =2^2\\2^2=4\\a=4ft^2

so we can conclude that the area of the square is 4ft^2

Now we want to find the area of the rectangle

the area of a rectangle is simply equal to the width times the length

so

a=6*4\\6*4=24\\\\a=24ft^2

so we can conclude that the area of the rectangle is 24ft^2

Finally we add the two areas together

24 + 4 = 28

thus meaning the area of the irregular figure is 28 ft²

7 0
3 years ago
HELP ME WITH THESE PROBLEMS
Hatshy [7]

Answer:

1. a. A

2. c. C

3. a. A > C

Step-by-step explanation:

<em>Absolute value is the translation of the number inside | ? | into a positive number. </em>

<em>Examples:</em>

| -245 | = 245

| -47 | = 47

| 69 | = 69

| 21 | = 21

| -4 | = 4

7 0
3 years ago
Determine the slope given the following information:
Brrunno [24]

Answer

4/1

Explanation step by step

4-(-4)/2-0

8/2

4/1

8 0
3 years ago
Can someone please help me on 3,4, and 5
alexandr1967 [171]
A=45 b=60 c=90 I think
8 0
3 years ago
Read 2 more answers
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