1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ipatiy [6.2K]
3 years ago
15

30 POINTS! Please answer and show work for both!

Mathematics
1 answer:
monitta3 years ago
6 0

The recommended approach for such equations is to eliminate fractions first, by multiplying by the LCM of the denominators. You can simply simplify, then work them as a 2-step linear equation, doing your arithmetic with the fractions as they are.

a) (5x-1)/7 + (4x-3)/2 -(3-2x)/2 = 6 . . . . . given

... 2(5x -1) +7(4x -3) -7(3 -2x) = 84 . . . . . multiply by 14

... 10x -2 +28x -21 -21 +14x = 84 . . . . . . eliminate parentheses

... 52x -44 = 84 . . . . . . . . . . . . . . . . . . . . collect terms

... 52x = 128 . . . . . . . . . . . . . . . . . . . . . . . add 44

... x = 32/13 . . . . . . . . . . . . . . . . . . . . . . . . divide by 52 and simplify

b) (4x−3)/2 − (5−2x)/3 − (3x−4)/3 = 5 . . . given

... 2x -3/2 -5/3 +(2/3)x -x +4/3 = 5 . . . . . . .eliminate parentheses

... (5/3)x -11/6 = 5 . . . . . . . . . . . . . . . . . . . . simplify

... (5/3)x = 41/6 . . . . . . . . . . . . . . . . . . . . . . add 11/6

... x = (41/6)/(5/3) = 41/10 . . . . . . . . . . . . . .divide by the coefficient of x

_____

Using the first method, you're dealing with integers and you can do a lot of the math in your head. Using the second method, you're dealing with fractions and mixed numbers. A calculator can be helpful, especially if it handles arithmetic with fractions nicely, as many graphing calculators do.

You might be interested in
How would I set this up
Aleks [24]

Answer:poop

Step-by-step explanation:

poppo

7 0
3 years ago
Solve:C=10d + 5n for n
katovenus [111]

n =  - 2d +  \frac{c}{5}
hope this helps
5 0
3 years ago
If Whitney wrote the decimal representations for the first 300 positive integer multiples of 5 and did not write any other numbe
fiasKO [112]

Answer:

201 times

Step-by-step explanation:

Since it's the first 300 positive integer multiples of 5, then the last integer will be: 300 × 5 = 1500

While the first is 5.

The sequence is like this;

5, 10, 15, 20, 25, 30, 35, .. 1500

Since for every 2 integers that are multiples of 5, 1 will include the digit 5, then it means that, number of times the unit place will have 5 is; 300/5 = 150 times

Now, between 5 and 100, the only value that has 5 in it's tense place is 50 & 55.

So for every 100 numbers, we have 2 times to write 5 in the tens place. Thus, for 1500 numbers, we will write 5 in the tens place: 1500/100 × 2 = 30 times

Now, for the hundreds place, from 500 and 600, we have 21 multiples of 5 inclusive of 500 and 600 but since we want the one that has 5 in the hundreds place, then it is 20 as they all start with 5 excluding 600.

Also, from 1000 to 1500, the only number that has 5 in its hundreds place is 1500.

Thus,total times 5 is written in the hundreds place = 21 times

Total number of times 5 is written = 150 + 30 + 21 = 201 times

5 0
3 years ago
Eric sells movie tickets. Adult tickets cost $8 and children's tickets cost $5. He keeps 15% of his sales. Which expression repr
likoan [24]
The formula for the cost of the total sales is: 8a+5c where a is the number of adult tickets and c is the number of child tickers.

If he keeps 15% the formula is: 0.15(<span>8a+5c) </span>
6 0
3 years ago
The domain is the set of all values a function will accept as _____.
Marina86 [1]

Answer:

  ... inputs.

Step-by-step explanation:

A function is a map of inputs to outputs. The domain of a function is the set of <em>inputs</em> for which outputs are defined.

8 0
3 years ago
Other questions:
  • Probability question.
    11·1 answer
  • Solve for x. (enter your answers as a comma-separated list.) matrix
    10·1 answer
  • -6x - 17 ≥ 8x 25 what is the solution of the inequality
    10·1 answer
  • I need to do this problem by completing the square . help please
    10·1 answer
  • Help me please do it ASAP
    12·2 answers
  • Find the indefinite integral. (Note: Solve by the simplest method—not all require integration by parts. Use C for the constant o
    12·2 answers
  • What is 1/6 divided by 1/3 in simplest form
    15·2 answers
  • Olivia is growing roses and keeps track of how much fertilizer (in ounces) she adds to the soil and how many blooms each rose
    11·1 answer
  • Add (−a3z2+4a2z2−5a2z3) to (−3a2z2+7a2z3). −a3z2 + 4a2z2 − 5a2z3 + − 3a2z2 + 7a2z3 a3z2 + a2z2 + a2z3
    11·1 answer
  • Somebody please help me with this question!​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!