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
ryzh [129]
2 years ago
13

8. Separate 84 into two parts such that one part will be 12 less than twice the other.

Mathematics
1 answer:
Phoenix [80]2 years ago
5 0

Answer:

x + (2x-12) = 84

x = 32

Step-by-step explanation:

you can say (part 1) + (part 2) = 84

one part is x (a variable) and

other part is 12 less than twice the other: when it says "12 less" is " - 12" and twice of part one 2x, you can say (2x - 12)

(part 1) + (part 2) = 84

x + (2x-12) = 84

3x - 12 = 84

3x = 96

x = 32

(part 1) + (part 2) = 84

(32) + (2*32 - 12) = 84

(32) + (52) = 84

You might be interested in
Is 0.9 a rational number ? what type of answer is desired?
wolverine [178]
When paired with 0.23 0.9 is a rational number
6 0
3 years ago
Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l
creativ13 [48]

Using a system of equations, it is found that the unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

For the system:

  • x is the unit price of a bag of chips.
  • y is the unit price of liter of pop.
  • z is the unit price for a chocolate bar.

From the table, the equations are:

2x + 2y + z = 9.25

3x + 4y + z = 14.50

x + 3y + 3z = 12

Replacing the <u>first equation on the second and the third:</u>

z = 9.25 - 2x - 2y

3x + 4y + z = 14.50

3x + 4y + 9.25 - 2x - 2y = 14.50

x + 2y = 5.25

x = 5.25 - 2y

x + 3y + 3z = 12

x + 3y + 3(9.25 - 2x - 2y) = 12

-5x - 3y = -15.75

5x + 3y = 15.75

Since x = 5.25 - 2y:

5(5.25 - 2y) + 3y = 15.75

-7y = -10.5

y = \frac{10.5}{7}

y = 1.5

Then:

x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25

z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75

The unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0
2 years ago
PLEASE HELP IMMEDIATELY What is the approximate side length of each square
Gwar [14]

Answer:

Step-by-step explanation:

so add what you have if you one number spilt it and divide

8 0
3 years ago
Help I need this now
eimsori [14]

Answer:

There is no question showing up so I dont know how to help u

Step-by-step explanation:

3 0
3 years ago
Identify the Type II error if the null hypothesis, H0, is: The capacity of Anna's car gas tank is 10 gallons. And, the alternati
Elina [12.6K]

Answer:

20gallons

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Gabriela buys a basket of coconuts on sale for $22 before tax. the sales tax is 12%.
    13·1 answer
  • 8. Parallel to the line y = 2x + 5 and contains the
    11·1 answer
  • 7 squaerd - 5 squaerd dived by 34
    6·1 answer
  • Adult tickets to an amusement park cost x dollars. Children's tickets cost y dollars. The Henson family bought 3 adult and 1 chi
    14·1 answer
  • Determine the number of possible triangles, ABC, that can be formed given A = 150°, a = 7, and b = 4.
    12·1 answer
  • Plsssss helpppp!!!!!
    9·1 answer
  • The product of -3 and m increased by 7 is -20. what is the value of m?
    12·1 answer
  • The question is in the image
    15·1 answer
  • Please solve this FAST!
    11·2 answers
  • Which expression is equivalent to this equation attached? Please help! I will make brainliest
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!