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s344n2d4d5 [400]
3 years ago
6

Solve for x: 5x+4=x+44

Mathematics
2 answers:
yawa3891 [41]3 years ago
8 0
Simplifying
5x + 4 = x + 44

Reorder the terms:
4 + 5x = x + 44

Reorder the terms:
4 + 5x = 44 + x

Solving
4 + 5x = 44 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
4 + 5x + -1x = 44 + x + -1x

Combine like terms: 5x + -1x = 4x
4 + 4x = 44 + x + -1x

Combine like terms: x + -1x = 0
4 + 4x = 44 + 0
4 + 4x = 44

Add '-4' to each side of the equation.
4 + -4 + 4x = 44 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 44 + -4
4x = 44 + -4

Combine like terms: 44 + -4 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10
quester [9]3 years ago
8 0

Answer:

x=10

Step-by-step explanation:

sorry i didnt mean to leave the other one as a comment! but yes x=10

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If the circle below is cut from the square of plywood below, how many square inches of plywood would be left over? Use π = 3.14,
Elis [28]

Answer:

86in²

Step-by-step explanation:

Find the complete question attached

Area of the circle = πr²

Area of the square = L²

Length of the side of the square

r is the radius of the circle

r = L/2 = 20/2 =10in

Given

Length of the side of the circle = 20in

Area of the square = 20²

Area of the square = 400in²

Area of the circle =π(10)²

Area of the circle = 3.14(100)

Area of the circle= 314in²

Amount of plywood left over = 400in²-314in² = 86in²

8 0
3 years ago
A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an
Y_Kistochka [10]

Answer: a) 15, b) 1.

Step-by-step explanation:

A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?

(a)    10% of all adult Americans support the changes

Here, np>5\ and\ n(1-p)>5

And , p=0.10

So, consider the equality, to find the value of 'n'.

np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50

So, there are 50-35=15 more adult Americans needed.

(b)   15% of all adult Americans supports the changes

Here, p=0.15

So, again we get that

np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34

So, there are 35-34=1 more adult Americans needed.

Hence, a) 15, b) 1.

5 0
3 years ago
Pedro and Carmela are cleaning their kitchen. It takes Pedro 3 hours to clean the kitchen by himself, while Carmela can clean th
Igoryamba

Answer:

B

Step-by-step explanation:

Here, we want to choose the equation representing the time it will take if they worked together

Let the amount of tasks to be done be t

pedro will work at a rate of t/3

Camela will take t/2

So the joint rate will be

t/2 + t/3

This joint rate will be equal to 1

Thus, we have

t/2 + t/3 = 1

5 0
3 years ago
(-4+6i) + (-6-2i)<br> How do I solve
elena55 [62]

Answer:

(-4+(-6))+(6i-2i)

(-10+4i)

5 0
3 years ago
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