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3 years ago

2x+4=4(x+1)−2 solve this equation

Mathematics

2 answers:

Alla [95]3 years ago

7 0

Answer:

x = 3

Step-by-step explanation:

2x + 4 = 4x -2

olchik [2.2K]3 years ago

4 0

Answer:

x=1

Step-by-step explanation:

hope this helps :)

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Stitu wants to cut square pieces of chart paper which is 48 cm long and 32 cm wide .If she is able to get 6 equal pieces ,then f

alisha [4.7K]

Answer:

Length of each piece = 16cm.

Step-by-step explanation:

Since the chart paper is 48cm x 32cm in size, finding the total area of the paper would be A = l x w, where l=length of the paper and w=width.

A = 48 x 32 = 1536cm²

Since Stitu was able to get 6 equal pieces, then we can take the total area and divede by 6:

$\frac{1536}{6} = 256$

Since 256cm² represents the area of each square, we can take the square root of this number to find the length of just one square since the formula for the area of a square is A=s², where s=the length of one side:

s² = 256 so √s² = √256 or s = 16cm

8 0

3 years ago

I need help with the equation inserted in the picture.

sergij07 [2.7K]

Answer:

x = 4

-4x+21 => 5

Step-by-step explanation:

The given triangle in the picture is isosceles triangle which means that two sides of the triangle are equal.

So,

$Side\ 1: -4x+21\\Side\ 2: -4x+21\\Side\ 3: 6\\Perimeter = 16$

Now

Putting all the values in equation for perimeter

$Side\ 1+Side\ 2+Side\ 3 = 16\\-4x+21 -4x+21 + 6 =16\\-8x +48 = 16\\-8x = 16-48\\-8x = -32\\\frac{-8x}{-8} = \frac{-32}{-8}\\x = 4$

Putting x = 4 in side 1

$=-4(4)+21\\= -16+21\\=5$

Hence,

x = 4

-4x+21 => 5

4 0

3 years ago

What is the solution to the equation?

Vladimir [108]

First, distribute (turning everything into a decimal at first to make more sense) : .4x - 3 + .6x = 4.25

Combine like terms : x - 3 = 4.25

Add 3 to both sides : x = 7.25

As a fraction : 7 1/4

8 0

4 years ago

Suppose that a wall is constructed from concrete blocks where a block is a normal random variable with mean 11 kg and standard d

Artemon [7]

Answer:

The value for k is about k = 11.093kg.

Step-by-step explanation:

To answer this question, that is, P(x<k) = 0.85, we can use the standardized value for a raw score, or the formula for obtaining z-scores:

$\\ z = \frac{x - \mu}{\sigma}$ [1]

Where

$\\ x$ is the raw score.

$\\ \mu$ is the population mean.

$\\ \sigma$ is the population standard deviation.

In this case, we are asking to find a value x = k, so that 85% of the blocks have weights less than k (kg).

We have also to use the values for the cumulative standard normal distribution with $\\ \mu = 0$ and $\\ \sigma = 1$ to find the value of z that corresponds to a probability of 0.85.

First step: find the z that corresponds to the probability of 0.85.

To use the formula [1], as we previously mentioned, we first need to find the value of z that corresponds to a probability of 0.85 using the cumulative standard normal distribution table (available in any Statistics books or on the Internet). Then, for a cumulative probability of 0.85, the corresponding value for z = 1.03 (approximately).

Second step: solve the formula [1] for x.

Solving this formula for x, we have:

$\\ z = 1.03$