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
Annette [7]
2 years ago
8

Solve the equation

Mathematics
1 answer:
motikmotik2 years ago
3 0

Answer:

D

Step-by-step explanation:

\frac{1}{2} (2x + 2) - \frac{1}{4} (3x - 1) = 15

multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

2(2x + 2) - (3x - 1) = 60 ← distribute parenthesis and simplify left side

4x + 4 - 3x + 1 = 60

x + 5 = 60 ( subtract 5 from both sides )

x = 55

You might be interested in
Neil wants to buy some video games over the Internet. Each game costs $25.01 and has a shipping cost of $9.98 per order. If Neil
ozzi
The answer to the question is <span> 9.98 + 25.01p ≤ 60</span>
5 0
3 years ago
Read 2 more answers
PLEASE HELP DUE NOW!!!<br> WILL MARK BRAINLIEST!!!
Ulleksa [173]

Answer: -10, 10

Step-by-step explanation:

first lets add the two equations. add the x's, add the y's, add the constants on the right.

we get

0x - 1y = -10

so then divide --10 by -1 because we do the opposite operations to both sides

and we get y = 10

now substitute y = 10 into the first equation

-10x - 9(10) = 10

and then we get -10x - 90 = 10

now add 90 to both sides

-10x = 100

divide 100 by -10

x = -10

y = 10

checks out

EPIC. STAY EPIC AND AWESOME FRIEND.

3 0
2 years ago
An amusement park offers an entrance fee discount of 20% to children under 6 years of age and seniors 65 or older. What is the r
Temka [501]

Answer:

  [0, 6) ∪ [65, ∞)

Step-by-step explanation:

Ages under 6 will be in the interval [0, 5], or in the interval [0, 6), as you may wish.

Ages 65 or older will be in the interval [65, ∞).

The union of these two intervals is ...

  [0, 6) ∪ [65, ∞)

5 0
3 years ago
Solve the system of equations.
Xelga [282]

Answer:

  b.  x=1, y=2, z=3

Step-by-step explanation:

The system of equations ...

  • 3x +2y +z = 10
  • 9x -6y +z = 0
  • x -y -3z = -10

has solution (x, y, z) = (1, 2, 3) . . . . matches choice B.

_____

While it is convenient to solve this using a graphing calculator or web site, one can easily solve the system by hand.

Subtract the second equation from 3 times the first:

  3(3x +2y +z) -(9x -6y +z) = 3(10) -(0)

  12y + 2z = 30 . . . . simplify

Dividing this result by 2 gives ...

  6y +z = 15 . . . . . . [eq4]

Subtract 3 times the third equation from the first:

  (3x +2y +z) -3(x -y -3z) = (10) -3(-10)

  5y +10z = 40 . . . . simplify

  y + 2z = 8 . . . . . . . divide by 5 . . . . . [eq5]

The two equations [eq4] and [eq5] can be solved any of the ways you usually solve two equations in two variables. Here, we'll use the first equation to write an expression for z that we can substitute into the second equation.

  z = 15 -6y . . . . . subtract 6y from [eq4]

  y + 2(15 -6y) = 8 . . . . . substitute for z in [eq5]

  -11y +30 = 8 . . . . . simplify

  -11y = -22 . . . . . . . subtract 30

  y = 2 . . . . . . . . . . . divide by the coefficient of y

  z = 15 -6(2) = 3 . . . . substitute for y in our equation for z

Substituting these values for y and z into the third original equation gives ...

  x - 2 -3(3) = -10

  x -11 = -10 . . . . . . . . simplify

  x = 1 . . . . . . . . . . . . add 11

The solution to the above system of equations is (x, y, z) = (1, 2, 3).

_____

<em>Comment on the problem statement</em>

Math is generally unforgiving of imprecision. The given system of equations has no variable "z", and some other typos are apparently involved. That is why we rewrote the system to the equations shown above.

It is very easy to mistake z for 2, or g for 9, or o for 0, or 1 for 7. There are other confusions that are possible, as well. Letters I (eye) and l (ell) are easily confused, and may be confused with 1 (one) as well. Sometimes y and 4, or 4 and 9, can also be written so as to be difficult to tell apart. Great care must be taken when handwriting these symbols.

7 0
3 years ago
I nedd help please.....
oksian1 [2.3K]
(-3,4)(0,-3)
slope = (-3 - 4) / (0 - (-3) = -7/3 <=
3 0
3 years ago
Other questions:
  • Which is a factor of 18x2 + 3x − 6?<br> A. 2x + 1 <br> B. 2x + 3 <br> C. 3x + 2 <br> D. 3x − 1
    10·1 answer
  • If 60 is decreased by 40%, what is the new amount?
    14·2 answers
  • What is the slope of a line is parallel to y=(1/2)x=3
    6·1 answer
  • Suppose you start with a full tank of gas (18 gallons) in your truck. After driving 6 hours, you now have 8 gallons left. If x i
    8·1 answer
  • the makers of a brand z 0aper towel claim that their brand is twice as strong as brand X and they use this graph graph to suppor
    12·2 answers
  • A set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more th
    12·1 answer
  • PLEASE HELP ASAP!! RIGHT ANSWER WILL GET BRAINLIEST
    6·1 answer
  • Peter increased the amount of crunches he did from 32 to 36. By what percentage did Peter increase the amount of crunches he com
    13·1 answer
  • Determine whether each figure creates the conditions to form a unique triangle, more than one triangle, or no triangle. Angle me
    10·1 answer
  • 1. Let f(x) = 2x^+x-3 and g(x) = x-1 preform the indicated operation, then find the domain.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!