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vazorg [7]
3 years ago
6

Solve the following equations for ????. Write your answer in set notation.

Mathematics
1 answer:
ddd [48]3 years ago
7 0

Answer:

a. x=7

b. x=4

c. x=5

d. x=4

e. equation b and d have same solution set.

Step-by-step explanation:

a.

  3x=21

   x=21/3

   x=7.

b.

3x+9-5=16

3x+4=16

3x=12

x=12/3

x=4

c.

6x-9-5=16

6x-14=16

6x=30

x=30/6

x=5

d.

6x+18-10=32

6x+8=32

6x=32-8

6x=24

x=24/6

x=4

e. Equation b and d have the same solution set.

The expression on both sides of the equal in the equation d is are twice of the expression in equation b. So, if (right side)=(left side) is true for some values of x, then 2(right side) = 2(left side) will be true for the same values of x.So we can find the solution without finding the solution set of both the equations.

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ites A & Bare 5 inches apart on a map. Cities & Dare 4 inches apart. If C&D are 900 miles apart how many miles apart
lisabon 2012 [21]

Answer:

<u>Cities A and B are 1,125 miles apart</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Distance between A and B in the map = 5 inches

Distance between C and D in the map = 4 inches

Actual distance between C and D = 900 miles

2. How many miles apart are cities A and B?

We will solve the question, using Direct Rule of Three, as follows:

Distance in the map      Actual distance

A - B      5 inches                    x

C - D      4 inches                900 miles

***************************************************

4x = 900 * 5

4x = 4,500

x = 4,500/4

x = 1,125 miles

<u>Cities A and B are 1,125 miles apart</u>

7 0
3 years ago
Solve for x:<br><br><br><br> 2x + 10 + 2x - 6 = 36
Tanzania [10]

Answer:

 X=8

Step-by-step explanation:

4 0
3 years ago
What are the terms in 8(x-1)+15
Yuki888 [10]

Did you need the answer to the equation? Or did you need the term of the equation?


8 0
3 years ago
HELP ME PLEASE!!!
zaharov [31]

The correct answer to this question would be answer choice B.

To convert the decimal 0.56 to a fraction, first set it to a fraction over 100 which would be 56/100.

Then, because the question asks for the fraction to be in simplest form, look for the greatest common factor of the numerator and denominator or 56 and 100.

To find it, list out all of their factors:

56: 1, 2, 4, 7, 8 , 14, 28, 56

100: 1, 2, 4, 5, 10,20,25,50,100

Notice that out of all the factors listed, the greatest common factor listed is 4. Because of this, divide both the numerator and denominator by 4 to simplify your fraction to your answer: 14/25

5 0
3 years ago
Which expression has a solution of 6, if r=4
Pani-rosa [81]

r+2

Explanation:

because if we add 2 to r which is equal to 4 we can get 6

5 0
3 years ago
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