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podryga [215]
3 years ago
10

0.1 is 10 times as much as

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0
0.1  is ten times as much as <em>0.01</em> .
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Solve:<br> 2/3x+15=17<br><br> 3x+8-x=7<br><br> 4(2x-6)=2
Volgvan

Answer:

x = 3

x = (-1)/2

x = 13/4

Step-by-step explanation:

Solve for x:

(2 x)/3 + 15 = 17

Put each term in (2 x)/3 + 15 over the common denominator 3: (2 x)/3 + 15 = (2 x)/3 + 45/3:

(2 x)/3 + 45/3 = 17

(2 x)/3 + 45/3 = (2 x + 45)/3:

1/3 (2 x + 45) = 17

Multiply both sides of (2 x + 45)/3 = 17 by 3:

(3 (2 x + 45))/3 = 3×17

(3 (2 x + 45))/3 = 3/3×(2 x + 45) = 2 x + 45:

2 x + 45 = 3×17

3×17 = 51:

2 x + 45 = 51

Subtract 45 from both sides:

2 x + (45 - 45) = 51 - 45

45 - 45 = 0:

2 x = 51 - 45

51 - 45 = 6:

2 x = 6

Divide both sides of 2 x = 6 by 2:

(2 x)/2 = 6/2

2/2 = 1:

x = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer:  x = 3

______________________________________________________

Solve for x:

3 x - x + 8 = 7

Grouping like terms, 3 x - x + 8 = (3 x - x) + 8:

(3 x - x) + 8 = 7

3 x - x = 2 x:

2 x + 8 = 7

Subtract 8 from both sides:

2 x + (8 - 8) = 7 - 8

8 - 8 = 0:

2 x = 7 - 8

7 - 8 = -1:

2 x = -1

Divide both sides of 2 x = -1 by 2:

(2 x)/2 = (-1)/2

2/2 = 1:

Answer: x = (-1)/2

_______________________________________

Solve for x:

4 (2 x - 6) = 2

Divide both sides of 4 (2 x - 6) = 2 by 4:

(4 (2 x - 6))/4 = 2/4

4/4 = 1:

2 x - 6 = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

2 x - 6 = 1/2

Add 6 to both sides:

2 x + (6 - 6) = 1/2 + 6

6 - 6 = 0:

2 x = 1/2 + 6

Put 1/2 + 6 over the common denominator 2. 1/2 + 6 = 1/2 + (2×6)/2:

2 x = 1/2 + (2×6)/2

2×6 = 12:

2 x = 1/2 + 12/2

1/2 + 12/2 = (1 + 12)/2:

2 x = (1 + 12)/2

1 + 12 = 13:

2 x = 13/2

Divide both sides by 2:

x = (13/2)/2

2×2 = 4:

Answer: x = 13/4

8 0
3 years ago
Which side lengths form a right triangle?
kakasveta [241]

Answer:

C) 2,2,2.82842712

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
( 1+7 )•3/6 and (7•3)•2/6
dedylja [7]
The answer to ( 1+7 )•3/6 is 4 and (7•3)•2/6 is 7
4 0
2 years ago
Read 2 more answers
5 divided by 2/7 in simplest form
vladimir1956 [14]
The answer is 35/2 or 17.5
3 0
3 years ago
Read 2 more answers
In purchasing food for a political rally, you erroneously order shucked medium-size Pacific oysters (which come 8 to 12 per U.S.
dexar [7]

Answer:

3515

Step-by-step explanation:

Data provided in the question:

Dimension of the container =  1.5 m x 18 cm x 28 cm

volume of the container = 150 cm × 18 cm × 28 cm = 75600 cm³

also,

1 L = 1000 cm³

thus,

volume of the container = \frac{75600}{1000} = 75.6 L

Volume of the U.S pint = 0.4732 L

therefore,

Number of pint in the container = \frac{\textup{Volume of container}}{\textup{Volume of pint}}

= \frac{\textup{75.6 L}}{\textup{0.4732 L}}

= 159.76

Also it is given that

Number of Pacific oysters per pint = 10

Number of Atlantic oysters per pint = 32

Thus,

for 159.76 pint

Pacific oysters in container = 10 × 159.76 = 1597.6 ≈ 1598

Atlantic oysters in the container = 32 × 159.76 = 5112.42 ≈ 5113

hence,

order short of your anticipated count = 5113 - 1598 = 3515

6 0
3 years ago
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