MATHEMATICS HIGH SCHOOL

Solve for x: 4 over 5 x + 4 over 3 = 2x x = Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points)

Answers

Answer 1
Answer:

Answer:

x = 10/9

Step-by-step explanation:

Solve for x:

(4 x)/5 + 4/3 = 2 x

Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:

(12 x)/15 + 20/15 = 2 x

(12 x)/15 + 20/15 = (12 x + 20)/15:

(12 x + 20)/15 = 2 x

Multiply both sides by 15:

(15 (12 x + 20))/15 = 15×2 x

(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:

12 x + 20 = 15×2 x

15×2 = 30:

12 x + 20 = 30 x

Subtract 30 x from both sides:

(12 x - 30 x) + 20 = 30 x - 30 x

12 x - 30 x = -18 x:

-18 x + 20 = 30 x - 30 x

30 x - 30 x = 0:

20 - 18 x = 0

Subtract 20 from both sides:

(20 - 20) - 18 x = -20

20 - 20 = 0:

-18 x = -20

Divide both sides of -18 x = -20 by -18:

(-18 x)/(-18) = (-20)/(-18)

(-18)/(-18) = 1:

x = (-20)/(-18)

The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):

x = (-10)/(-9)

Multiply numerator and denominator of (-10)/(-9) by -1:

Answer: x = 10/9

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What is the 217th digit after the decimal point in the repeating decimal 0.3456? How can i calculate this?

Answers

Well I think you mean 0.(3456), I will try to explain as simple as I can ;p

First I would divide 217 by 4, because we need to find 217th digit in 4 digit repeating decimal:

217/4=(217)/(4)=54(1)/(4)

54(1)/(4) it means that 3456 will be reapeted 54 times untill 217th digit, and (1)/(4) means that the 217th digit will be the first of those 4 digits in this decimal, so your answer is:
The 217th number after the decimal point in this repeating decimal will be 3

What is 27/2 divided by 9/4

Answers

27/2 :9/4=27/2 x 4/9= 3/1 x 2/1=6
27/2 : 9/4 =
= 27/2 * 4/9 =
= 108/18 =
= 6/1 =
= 6

Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of $24.00. Last week they ordered one strawberry smoothie and four protein shakes for a total of $25.50. The system that represents their purchases is below.x + 4y = 25.50

3x + 2y = 24.00

What is the price of a protein shake?

Answers

I believe the answer is 5.15 .

Answer:

Its D   5.25

Step-by-step explanation:

Just took the test

Apply the commutative property to 13×7×21 to rearrange the terms and still get the same solution

Answers

commutative property
abc=acb=bac=bca=cab=cba
multiplicatoin can move

some possible ones
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any of those work
the community answer for this equation could be 7*21*13 or 21*7*13.

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Answers

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Answers