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
Zigmanuir [339]
2 years ago
13

Simplify 7x + 2y - 3x + 4y Factorise 10x - 15 Solve 5p = 3p + 8

Mathematics
1 answer:
vlada-n [284]2 years ago
7 0

Answer:

1. x = -1.5y

2. 5 (2x-3)

3. p = 4

Step-by-step explanation:

1) Simplifying

7x + 2y + -3x + 4y = 0

Reorder the terms:

7x + -3x + 2y + 4y = 0

Combine like terms: 7x + -3x = 4x

4x + 2y + 4y = 0

Combine like terms: 2y + 4y = 6y

4x + 6y = 0

Solving

4x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

4x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0

4x + 0 = 0 + -6y

4x = 0 + -6y

Remove the zero:

4x = -6y

Divide each side by '4'.

x = -1.5y

Simplifying

x = -1.5y

2)

Common factor

10x - 15

5 (2x-3)

3) Simplifying

5p = 3p + 8

Reorder the terms:

5p = 8 + 3p

Solving

5p = 8 + 3p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-3p' to each side of the equation.

5p + -3p = 8 + 3p + -3p

Combine like terms: 5p + -3p = 2p

2p = 8 + 3p + -3p

Combine like terms: 3p + -3p = 0

2p = 8 + 0

2p = 8

Divide each side by '2'.

p = 4

Simplifying

p = 4

You might be interested in
Write an equation of a line that is parallel to the line whose equation is 3y=x+6 and that passes through the point (-3,4).
Monica [59]
The standard form of this equation is

y=\frac{1}{3}x+2

The slope of two parallel lines i the same, so the slope of the line we're looking for is also \frac{1}{3}

Since the line passes through (-3,4), the equation is:

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

\boxed{y=\frac{1}{3}x+5}





3 0
3 years ago
Please help me with this problem, thanks
Slav-nsk [51]
A is the answer I believe , the L and M means they are parallel they don’t intersect with each other
7 0
3 years ago
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality repr
shtirl [24]

Answer:

1200-928 = 272 for the rest of the month Clarissa has to spend.

Step-by-step explanation:

So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.

6 0
2 years ago
Read 2 more answers
Using the digits 1, 2, 3, 4, 5, 6, 7, and 9, make 4 two-digit prime numbers. What is the sum of those four prime numbers?
mr_godi [17]

Answer:

13, 17, 19, and 23

Step-by-step explanation:

13+17+19+23=72

3 0
3 years ago
What is the equation of the line that contains the points (-5, 0) and (0, 6)?
Neporo4naja [7]

Answer:

y=6/5x+6

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Unit 1: Scientific Notation Constructed Response Assignment
    13·1 answer
  • Compute (1+i)(1+2i)(1+3i).
    12·1 answer
  • A group of scientist study the effect of chemical on Various strains of bacteria. Strain A started with 6000 cells and decreases
    11·1 answer
  • Rewrite the logarithm as an exponential equation: <br> In(X)= 7
    14·1 answer
  • Which statement about this figure is true
    14·2 answers
  • An item costs $ 360 before tax, and the sales tax is $ 28.80 . Find the sales tax rate. Write your answer as a percentage.
    12·1 answer
  • Find the factors of 42 show and explain your work and list the factor pairs in a table
    15·2 answers
  • The measure of an angle is two times the measure of its complementary angle. What is the measure of each angle?
    15·1 answer
  • What is x? I tried it but I don’t think I did it right.
    6·1 answer
  • The height of lava fountains spewed from volcanoes cannot be measured directly. Instead, their height in meters can be found usi
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!