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
vladimir2022 [97]
3 years ago
15

3p + q = 8 and 3p - q = 10 then p+q is?​

Mathematics
2 answers:
belka [17]3 years ago
6 0

Answer:

2

Step-by-step explanation:

3p + q = 8

3p - q = 10

→ Minus the two equations away from each other which would cancel out 3p

2q = -2

→ Divide both sides by 2 to isolate q

q = -1

→ Substitute q = -1 back into 3p + q = 8

3p - 1 = 8

→ Add 1 to both sides to isolate p

3p = 9

→ Divide both sides by 3 to isolate p

p = 3

⇒ The question asks us to find p + q so,

3 + - 1

→ Remember the minus cancels out the plus

3 - 1 = 2

mafiozo [28]3 years ago
5 0

Answer:

2

Step-by-step explanation:

3p + q = 8 and

3p - q = 10

then p+q is?​

--------

add up side-by-side:

6p=18 ⇒ p=3

q=8-3p= 8 - 9= -1

p+q= 3-1=2

You might be interested in
You and your friend are in the studio audience of a television game show. the show randomly picks 2 people in the audience. if t
Andrews [41]

Answer:

2/300, or simplified: 1/150. Decimal: 0.006

Step-by-step explanation:

3 0
2 years ago
Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.
laila [671]

Answer:

The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is  (-∞,2] ∪ [8,∞)

Step-by-step explanation:

When solving absolute value inequalities, there are two cases to consider.

Case 1: The expression within the absolute value symbols is positive.

Case 2: The expression within the absolute value symbols is negative.

The solution is the intersection of the solutions of these two cases.

In other words, for any real numbers a and b,

  • if |a|> b then a>b or a<-b
  • if |a|< b then a<b or a>-b

So, being |3x-9|≤15

Solving: 3x-9 ≤ 15

3x ≤15 + 9

3x ≤24

x ≤24÷3

x≤8

or 3x-9 ≥ -15

3x ≥-15 +9

3x ≥-6

x ≥ (-6)÷3

x ≥ -2

The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]

So, being |2x-3|≥5

Solving: 2x-3 ≥ 5

2x ≥ 5 + 3

2x ≥8

x ≥8÷2

x≥8

or 2x-3 ≤ -5

2x ≤-5 +3

2x ≤-2

x ≤ (-2)÷2

x ≤ -2

Expressing the solution as an interval: (-∞,2] ∪ [8,∞)

6 0
3 years ago
2. XYZW is a parallelogram with diagonals XZ and YW that intersect at point A.
sergeinik [125]

Answer:

AW=10

Step-by-step explanation:

In a parallelogram opposite sides are congruent meaning XA and AZ are congruent. YA and AW are congruent. So...

Solving for XA and AZ

 XA=AZ

3m=5m-4

-2m=-4

m=2

If YW=10m then 10 x 2 = 20

20 divided by 2 = 10

4 0
2 years ago
What is 0.6 as a percent
asambeis [7]

Answer:

60

Step-by-step explanation:

when you multiply 100 by .6 it equals 60

5 0
3 years ago
Read 2 more answers
Carlos made up a game where, in a deck of cards, the red cards (hearts and diamonds) ard negative and the black cards (spades an
Hitman42 [59]
What's the question thoo
5 0
3 years ago
Other questions:
  • Anna plans a business model to compete with two video stores, where she hopes to draw in customers from one store but not lose m
    15·2 answers
  • How many cups equal 372 quarts
    10·2 answers
  • Your race car weighs 1.5 tons. To make the car faster, you replaced the steel body with carbon-fiber and reduced the weight by 3
    14·2 answers
  • A researcher wants to test if the rate of smoking among adults in Chicago is greater than the national rate of 18%. A random sam
    10·1 answer
  • The drawing shows the measurements in a section of a circular design how long is the radius of the circle?
    11·1 answer
  • Please help due ASAP <br> Show workings
    10·2 answers
  • I NEED HELP I FORGOT HOW TO DO THIS AND I NEED HELP <br> -3x + 2&lt;8
    10·1 answer
  • What are the slopes for:<br>(2,4) and (2,-3)?​
    12·1 answer
  • Identify the measures of exterior angle below. Let x = 15
    5·1 answer
  • Given segment AE = 3x+5, BE = 4, DE = 5 and CE = 2x+6, what is the value of segment AE
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!