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3 years ago

What is the value of x in the equation 0.2(x + 1) + 0.5x = –0.3(x – 4)?

2 answers:

8 0

$0.2(x + 1) + 0.5x = -0.3(x - 4)$

$0.2x+0.2+0.5x=-0.3x+1.2

 
$

$0.7x+0.2=-0.3x+1.2$

$0.7x=-0.3x+1.2-0.2$

$0.7x=-0.3x+1$

$0.7x+0.3x=1$

$x=1$

Leviafan [203]3 years ago

7 0

Answer: The required value of x is 1.

Step-by-step explanation: We are given to solve the value of x in the following equation :

$0.2(x+1)+0.5x=-0.3(x-4)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the value of x in the above equation, we must solve the equation (i) as follows :

$0.2(x+1)+0.5x=-0.3(x-4)\\\\\Rightarrow 0.2x+0.2+0.5x=-0.3x+1.2\\\\\Rightarrow 0.7x+0.2=-0.3x+1.2\\\\\Rightarrow 0.7x+0.3x=1.2-0.2\\\\\Rightarrow x=1.$

Thus, the required value of x is 1.

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Wich method can you use yo decide wich of several integers has the greatest value?

serg [7]

Answer:

The integer with the greatest value is the one that is farthest to the right hand side of the number line

Step-by-step explanation:

The number line is constructed in a way such that we have a center point of zero with positive values to the right of the number line and negative values to the left of the number line.

Moving deeper right, we have an increase in positivity, with the more positive values rightwards, indicating an increase in the numbers to the right

Moving to the left, we have an increase in negativity, but a decrease in value. The negative numbers closer to zero are more positive and command higher values than the values which are farther from zero.

What these indicates is that the more rightward a number, the greater its value

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3 years ago

How many feet are in 84 yards. (im really bad at converting) :(

Gre4nikov [31]

1 yard = 3 feet, so we would do 3×84, which is 252.

There are 252 feet in 84 yards.

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3 years ago

Read 2 more answers

Whats the gcf for 10y5+30y3-15y

Nataly [62]

Answer:

1, see the picture below, I used a calculator!

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2 years ago

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard de

inna [77]

Answer:

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

Step-by-step explanation:

Step(i):-

Given mean of the Population μ = 5.3 days

Given standard deviation of the population 'σ' = 2 days

Let 'X' be the random variable in normal distribution

Let x₁ = 4

$Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{4-5.3}{2} = -0.65$

Let x₂ = 7

$Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85$

Step(ii):-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = P(-0.65≤Z≤0.85)

= P(Z≤0.85) - P(Z≤-0.65)

= 0.5 + A( 0.85) - ( 0.5 - A(-0.65)

= 0.5 + A( 0.85) - 0.5 +A(0.65) ( ∵A(-0.65) = A(0.65)

= A(0.85) + A(0.65)

= 0.3023 + 0.2422

= 0.5445

Final answer:-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

6 0

3 years ago

A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after

Len [333]

Answer:

B.120 feet

Step-by-step explanation:

12 × 20 × 10 = 120

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3 years ago