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Paladinen [302]
3 years ago
10

What word problem could be used for the 2 step equation .5(x+40)=200

Mathematics
2 answers:
Fiesta28 [93]3 years ago
5 0

Since multiplying by 0.5 is the same as dividing by 2, the problem is described by the sentence

"Half the sum of a number and 40 equals 200"

tankabanditka [31]3 years ago
5 0

A two fundraiser group want to work together to reach $200 one fundraiser has 40 and another is x. Both of side need to be multiply by .5 so that they can reach there goal. Find x in this equation.

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
diamong [38]

Answer:

 A-2, B-DNE*, C-3, D-DNE, E-4, F-1

---------------------

The first attachment shows the solutions to A and C.

The second attachment shows the solutions to E and F.

There are no real number solutions to systems B and D.

_____

In general, you can solve the linear equation for y, then substitute that into the quadratic. You can subtract the x-term on the left and complete the square to find the solutions.

A.

 (3-x) +12 = x^2 +x

 15 = x^2 + 2x

 16 = x^2 +2x +1 = (x +1)^2 . . . . add the square of half the x-coefficient to complete the square; next take the square root

 ±4 -1 = x = {-5, 3) . . . . . identifies the second solution set for system A

__

B.

 (x -1) -15 = x^2 +4x

 -16 = x^2 +3x

 -13.75 = x^2 +3x +2.25 = (x +1.5)^2

roots are complex: -1.5 ±i√13.75

__

C.

 (1-2x) +5 = x^2 -3x

 6 = x^2 -x

 6.25 = x^2 -x + .25 = (x -.5)^2

 ±2.5 +.5 = x = {-2, 3} . . . . . identifies the third solution set for system C

__

remaining problems are done in a similar way.

_____

* DNE = does not exist. There is no matching solution set for the complex numbers that are the solutions to this.

---------------------

<em>Hope this helps!</em>

<em />

<u>Brainliest would be great!</u>

<u />

---------------------

<em><u>With all care,</u></em>

<em><u>07x12!</u></em>

4 0
4 years ago
How to write 53/198 as a decimal
Phantasy [73]

Answer:

__

0.2676 or 0.268

Step-by-step explanation:

53 ÷198

3 0
3 years ago
HLEP PMG PLSakkwkwksksk
Alex_Xolod [135]

Answer:

3 is the constant

Step-by-step explanation:

12 times 3 = 36

18 times 3 = 54

25 times 3 = 54

5 0
3 years ago
If x2 = 49 the only possible answer for x is 7
shusha [124]
Solve for x over the real numbers:
x^2 = 49

Take the square root of both sides:
Answer:  x = 7 or x = -7
6 0
3 years ago
The mean is 47.1 and the standard deviation is 9.5 for a population. Using the Central Limit Theorem, what is the standard devia
MaRussiya [10]

Answer:

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Standard deviation is 9.5 for a population.

This means that \sigma = 9.5

Sample of 60:

This means that n = 60

What is the standard deviation of the distribution of sample means for samples of size 60?

s = \frac{\sigma}{\sqrt{n}} = \frac{9.5}{\sqrt{60}} = 1.2264

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

4 0
3 years ago
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