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blsea [12.9K]
3 years ago
8

Look at this inequality.−0.2x+1.2<1.1

Mathematics
1 answer:
WINSTONCH [101]3 years ago
4 0

Answer:

x > 0.5

Step-by-step explanation:

Given

- 0.2x + 1.2 < 1.1 ( subtract 1.2 from both sides )

- 0.2x < - 0.1

Divide both sides by - 0.2, reversing the symbol as a result of dividing by a negative quantity.

x > 0.5

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Solve the equation.<br> 5(5x + 1) = 3x - 9x<br> x=<br> (Type an integer or a simplified fraction.)
pogonyaev

Answer:

x = -5/31

Step-by-step explanation:

5(5x + 1) = 3x - 9x multiply 5 with the inside of the parenthesis, 5(5x + 1) = 25x + 5

25x + 5 = 3x - 9x add the like terms, 31x = -5 and x = -5/31

6 0
3 years ago
£70 is divided between Natasha, Richard &amp; Stephen so that Natasha gets twice as much as Richard, and Richard gets three time
Korvikt [17]

The share of Natasha is £ 42

<em><u>Solution:</u></em>

£70 is divided between Natasha, Richard & Stephen

Total amount = 70

Let the share of natasha be "x"

Let the share of richard be "y"

Let the share of stephen be "z"

Natasha gets twice as much as Richard

x = 2y ------ eqn 1

Richard gets three times as much as Stephen

y = 3z

z = \frac{y}{3} ----- eqn 2

Total amount = 70

share of natasha + share of richard + share of stephen = 70

x + y + z = 70

Substitute eqn 1 and eqn 2

2y + y + \frac{y}{3} = 70\\\\\frac{6y+3y+y}{3} = 70\\\\10y = 210\\\\y = 21

Substitute y = 21 in eqn 1

x = 2y = 2(21) = 42

x = 42

Thus natasha gets £ 42

6 0
3 years ago
A sports ball has a diameter of 27 cm. Find the volume of the ball. cm.) Round your answer to the nearest tenth if necessary.​
Anestetic [448]
To calculate the volume of a sphere you must use the formula
v=4/3pir^3

The radius (r) is half of the diameter
r=13.5

v=4/3pi13.5^3
v=10305.99

Therefore the volume of the sports ball is 10306cm^3 (to the nearest tenth)
8 0
2 years ago
Frog A eats 8 flies in 4 minutes, while Frog B eats 14 flies in 7 minutes. Which frog eats more flies per minute?
lions [1.4K]
<h3>Answer:</h3>

Neither one

<h3>Step-by-step explanation:</h3>

Frog A's "unit rate" is ...

... (8 flies)/(4 minutes) = 2 flies/minute

Frog B's "unit rate" is ...

... (14 flies)/(7 minutes) = 2 flies/minute

Both rates are the same. Each frog eats 2 flies per minute.

8 0
3 years ago
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