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
gizmo_the_mogwai [7]
2 years ago
8

15 less than 2 times a number is the same as 7 more than half of the number. what is the number?

Mathematics
1 answer:
romanna [79]2 years ago
5 0

Answer:

x = 14 and 2/3

Step-by-step explanation:

Make an equation where x is the number.

2x - 15 = 7 + 1/2x

Then, solve the equation.

multiply both sides by 2 to get rid of the fraction

4x - 30 = 14 + x

subtract x from both sides

3x - 30 = 14

add 30 to both sides

3x = 44

divide both sides by 3

x = 14 and 2/3

You might be interested in
Which three lengths could be the lengths of a triangle?
attashe74 [19]

Answer: number one is d and number 3 is c I think

Step-by-step explanation:

8 0
2 years ago
A plumber charges $130 2 hours of work and $235 for 5 hours of workWhat is the of change in dollars per hour
kogti [31]

Answer:

235

Step-by-step explanation:

Figure the rates per hr.

110/3 = 36 2/3

160/5 = 32.

So, the rates are not the same.

Knowing a bit about plumbers, they normally charge a basic fee to just show up, and then they charge per hr.

In cases like these, where we're asked to project to a new data point (in this case an 8-hr job), you should immediately think of a graph. The x-axis would be the hours worked. The y-axis would be the charge for the work (the cost of the job).

We're given two pairs of values:

(3,110) and (5,160).

The next step is to fit a line to them.

y = mx+b is the general equation for a line.

m = the slope = rise/run = change in y / change in x

Call the change in y, dy (for delta y).

Call the change in x, dx (for delta x).

m = dy/dx = 50/2 = 25

The slope is thus 25, which means for each hour, the price goes up by $25. That means the plumber charges $25/hr.

We also know the plumber charges $110 for a 3-hr job. 3*25 = $75. So the base charge would be $110-75 = $35.

y = 25x + 35

Checking this formula at x=3, we know it is 110.

Checking it at x=5, we obtain:

y = 25*5 + 35 = 125 + 35 = 160.

That checks.

Now to figure an 8-hr job, set x=8 and use the equation"

y = 25*8 + 35.

y = 200 + 35.

y = 235.

That means an 8-hr job costs $235.

3 0
2 years ago
Solving for Unknown Values
kondaur [170]

Answer:x=17 y=10

Step-by-step explanation:

7 0
3 years ago
I want to know the distance
DiKsa [7]

here's the answer to your question

3 0
3 years ago
Which of these can help you become a better test-taker?
Assoli18 [71]
Personally I would say C because when you take good notes you can go over what you don’t remember. You can also use your notes as a study guide.
5 0
3 years ago
Other questions:
  • On a piece of paper graph y< x+1
    12·1 answer
  • You charge $2 $2 per square yard to paint. Which equation can you solve to find the amount you will charge to paint a triangular
    6·1 answer
  • In forming a contract, the “meeting of the minds” is _____.
    6·1 answer
  • -1/3 =x+2/3<br> ......................................................
    14·2 answers
  • Please help me algebra 2 question
    5·1 answer
  • What is the value of x to the nearest degree?
    15·2 answers
  • Angle D has what measurement according to the protractor?
    15·1 answer
  • Sebastian is going to choose the color pattern
    9·1 answer
  • Danny charges $22 for 2 hours of swimming lessons, Martin charges $90 for 5 hours of swimming lessons. Who offers a better deal?
    5·2 answers
  • Somebody pls help I’m doin a exam!!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!