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
Maksim231197 [3]
3 years ago
9

3x-(2x-1)=7x-(3*5x)+(-x+24)

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

Answer:

\boxed{\boxed{\sf x=\frac{23}{10}}\: \sf or \:\boxed{x=2.3}}

_________________

\boxed{\sf Step\: By\:Step:- }

\sf 3x-\left(2x-1\right)=7x-\left(3\times \:5x\right)+\left(-x+24\right)

<u>Remove the parentheses:</u>

\to\sf 3x-\left(2x-1\right)=7x-3\times \:5x-x+24

<u>Combine like terms:</u>

\sf ^*7x-x=6x

\to\sf 3x-\left(2x-1\right)=6x-3\times \:5x+24

<u>Multiply 3 and 5x = 15x:-</u>

\to\sf 3x-\left(2x-1\right)=6x-15x+24

<u>Combine like terms:</u>

\sf ^*6x-15x=-9x

\to\sf 3x-\left(2x-1\right)=-9x+24

<u>Expand: 3x-(2x-1)= x+1</u>

\to\sf x+1=-9x+24

<u>Subtract 1 from both sides:</u>

\to\sf x+1-1=-9x+24-1

\to\sf x=-9x+23

<u>Add 9x to both sides:</u>

\to\sf x+9x=-9x+23+9x

\to\sf 10x=23

<u>Divide both sides by 10:</u>

\to\sf \cfrac{10x}{10}=\cfrac{23}{10}

\to\sf x=\cfrac{23}{10}

<u>________________________________</u>

You might be interested in
Simplify<br><br> 1/2 + 2/5<br><br> A) 1/10<br> B) 2/7 <br> C) 3/7<br> D) 9/10
Luda [366]

Answer:

  • D) 9/10

Step-by-step explanation:

<u>Add up as fractions:</u>

  • 1/2 + 2/5 =               Common denominator is 2*5 = 10
  • 5/10 + 4/10 =
  • 9/10

Option D

6 0
2 years ago
Write an equation of the line that is:
zlopas [31]
Lines that are parallel will have the same slope. Lines that are perpendicular will have slopes that are the negative reciprocal of each other.

<em>(a) </em><span><em>parallel to the line y=2x-4, and has a y-intercept of 7</em>
</span>slope of first line: 2
slope of second line: 2
y=mx + b
<span>y=2x+7
</span>
<em>(b) parallel to the line y-3x=6, and has a y-intercept of -2</em>
y=3x+6
slope of first line: 3
slope of second line: 3
y=mx + b
y=3x-2

<em>(c) </em><span><em>parallel to the line 2x+3y=12, and that passes through the origin</em>
</span>3y=-2x+12
y=-2/3x+4
slope of first line: -2/3
slope of second line: -2/3
origin: (0,0)
y=mx + b
y=-2/3x + 0
y=-2/3x

<em>(d) </em><span><em>perpendicular to the line y=3x+2, and has a y-intercept of 2</em>
</span>slope of first line: 3
slope of second line: -1/3
y=mx + b
y=-1/3x + 2

<em>(e) </em><span><em>perpendicular to the line 3y+4x=18, and that passes through the origin</em>
3y=4x+18
y=4/3x+6
</span>slope of first line: 4/3
slope of second line: -3/4
origin: (0,0)
y=mx + b
y=-3/4x + 0
y=-3/4x
3 0
3 years ago
If a parabola had a y-intercept of (0,5) and an axis of symmetry at x = 4, what other point must be on the graph? (hint: draw)
Serga [27]

Answer:

(8, 5)

Step-by-step explanation:

Let's take a look at the y-intercept, (0, 5).  If the axis of symmetry is x = 4, then the distance from (0, 5) is 4 units.  If we reflect this point (0, 5) about the axis of symmetry x = 4, the resulting point is (8, 5).  In other words, the distance from the y-intercept to the axis of symmetry is 4 units, and so the distance from the y-intercept must be 4 units plus 4 units, or 8 units.

The only answer choice that matches this is the second one:  (8, 5).

3 0
3 years ago
Write a number in which value of the digit 3 is 10 times as much as the value of the digit 3 in 942381 show your thinking.
choli [55]

Answer:

943,281

Step-by-step explanation:

Just move the 3 up a value

If it's in the ten's place, then move it to the hundred's place value.

If it's in the hundred's place, then move it to thousand's place value.

So on and so on...

8 0
4 years ago
Read 2 more answers
Fredericka can make 65 percent of her shots from the free throw line if she shoots 75 times how many shoots can she expect to ma
Mademuasel [1]

Answer:

48.75 shots are made (just round according to the instructions your teacher gave you)

Step-by-step explanation:

In the attached picture I provided two different ways to solving the problem, but if these do not click with you, I am sure you can find other ways of solving that work better for you :)

5 0
4 years ago
Other questions:
  • Natalie is buying potatoes at the grocery store. If she buys 6 potatoes that each have a mass of 375 grams, what is the total ma
    12·2 answers
  • Parallel lines r and s are cut by two transversals, parallel lines t and u.
    9·1 answer
  • Evarado paid $1.12 for a dozen eggs at his local grocery store. Determine the cost of 3 eggs.
    15·1 answer
  • the scale of the map is missing. the actual distance from liberty to west quall is 72 miles and it is 6 inches on the map
    7·1 answer
  • Question 6 of 10
    5·2 answers
  • Solve the above quadratic equation
    7·2 answers
  • Eight beads are strung in a necklace with a clasp, how many ways<br> can the beads be arranged?
    10·1 answer
  • X^2 + 14p + 24 = ???​
    14·1 answer
  • Find the value of x so that the function has the given value.<br> k(x)=7;k(x)=49
    11·1 answer
  • Planet X is 8 1/5 light-years away from Earth. Planet Y is 2 3/5 light-years away from Earth.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!