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3 years ago

Write three equations whose solution is x=3.5

Mathematics

1 answer:

My name is Ann [436]3 years ago

3 0

Answer:

1. 2x + 23 = 30

2. 3x + 19.5 = 30

3. (10x - 20)/ 5 = 3

Explanation:

Work backward:

1. 2x + 23 = 30

Start:

x = 3.5

Multiply the equation by 2:

2x = 2 (3.5)
2x = 7

Subtract 30 from both sides

2x - 30 = 7 - 30
2x - 30 = -23

Add 23 and 30 to both sides:

2x + 23 = 30

2. 3x + 19.5 = 30

Start:

x = 3.5

Add 6.5 to both sides:

x + 6.5 = 10

Multiply by 3:

3(x + 6.5) = 30

Distributive property:

3x + 19.5 = 30

3. (10x - 20)/ 5 = 3

Start:

x=3.5

Multiply by 10:

10x = 35

Subtract 20:

10x - 20 = 15

Divide by 5:

(10x - 20)/ 5 = 15/5

(10x - 20) / 5 = 3

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0.580 repeating as a fraction

ElenaW [278]

Answer:

Write out your decimal as the numerator of a fraction:

0.50 /1

Multiply to remove the 2 decimal places:

0.50 /1 × 100 /100= 50 /100

Find the Greatest Common Factor of 50 and 100:

GCF is 50

Divide both numerator and denominator by 50:

50 ÷ 50

100 ÷ 50 = 1 /2

therefore your answer is 1/2

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3 years ago

Find the area of the semicircle. diameter = 12

dimaraw [331]

Answer:

$\huge\boxed{\sf Area\ of \ Semicircle = 56.55 \ units^2}$

Step-by-step explanation:

Diameter = 12

Radius = 12/2 = 6

$\sf Area\ of \ Semicircle =\frac{\pi r^2}{2} \\Area\ of \ Semicircle =\frac{\pi (6)^2}{2} \\Area \ of \ Semicircle = \frac{\pi (36)}{2}\\ Area \ of \ Semicircle = 18 \ pi$

$\sf Area\ of \ Semicircle = 56.55 \ units^2$

7 0

3 years ago

Read 2 more answers

2x3 + x2 + 7x - 6)-(- 2x + 10x + 10x+9)

AVprozaik [17]

Answer:

2x³ + x² - 11x - 15

Step-by-step explanation:

Step 1: Write out expression

2x³ + x² + 7x - 6 - (-2x + 10x + 10x + 9)

Step 2: Distribute negative

2x³ + x² + 7x - 6 + 2x - 10x - 10x - 9

Step 3: Combine like terms (x)

2x³ + x² + 9x - 10x - 10x - 9 - 6

2x³ + x² - x - 10x - 9 - 6

2x³ + x² - 11x - 9 - 6

Step 4: Combine like terms (constants)

2x³ + x² - 11x - 15

5 0

3 years ago

Select all the relationships that demonstrate a positive association between variables.

Stells [14]

Answer:

O.Length of time you have walked and distance you have traveled.

O.Pounds of cherries you buy and amount of money you spend on cherries.

O.Number of people in a grocery check-out line and how long you have to wait to check out

Step-by-step explanation:

Please tell me this is correct and if it isn't I'm sorry if it is please mark Brainliest!

6 0

3 years ago

It take Sophia 1/5 weeks to read one book and Sophia reads for 1/6 weeks how many books where she read

ladessa [460]

Sophia has not even completed 1 book. She has managed to complete 83% of the book.

<u>Explanation:</u>

Given:

Time taken to read one book = 1/5

Total weeks for which sophia read = 1/6

Number of books, z = ?

Total weeks = z X time taken to read one book

$\frac{1}{6} = z X \frac{1}{5} \\\\z = \frac{5}{6} \\\\z = 0.83$

Therefore, sophia has not even completed 1 book. She has managed to complete 83% of the book.

3 0

3 years ago