Solve for the variable: 3(q-5)=2(q+5)

Answers

Answer 1
Answer: distribute
a(b+c)=ab+ac or
a(b-c)=ab-ac

so

3(q-5)=3q-15
2(q+5)=2q+10

3q-15=2q+10
minus 2q from both sides
q-15=10
add 15 to both sides
q=25

Related Questions

How do you figure out this word problem: Peter has 6 sweaters, 4 pairs of jeans and 3 pairs of shoes. How many outfits can Peter make?
Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes of her daily calories at dinner. If x represents the calories consumed at dinner, which statements describe the situation? Check all that apply.a. Leena consumed 1,500 calories at dinner. b. The equation 2/3(x + 400 + 350) = x can be used to model the situation. c. Leena consumed 500 calories at dinner. d. The equation 2/3(x) = x(400 + 300) can be used to model the situation. e. Leena consumed 1,000 calories at dinner. f. The equation 2/3x(400 + 300) = x can be used to model the situation.
Write 6,730,000 in scientific notation
You are mowing a lawn. After 12 minutes, 52% of the lawn still needs mowed. How long does it take to mow the entire lawn? Write an equation that represents the percent y of the lawn that still needs mowed after x minutes.
A car travels 120km at a certain speed. If the journey takes 2 1/2{Two and the half hours}, find the average speed{Let the speed be v km/h}

to get into her tree house, annabeth rests a ladder against the tree. the top of the ladder is 13 feet above the ground. the base of the ladder is 3 from the tree. what is the slope of the ladder

Answers

slope = rise/run
the ladder "rises" to 13 feet above the ground
the ladder "runs" 3 feet from the base of the ladder to the tree
so: slope = rise/run = 13/3
13-0
3-0
=
13/3
=
4 1/3
Rise over run you know, y1-y2 over x1-x2

If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)}, then the range of G is

Answers

Answer with explanation:

All the first element of Ordered pair ,is called Domain of the set. And all the second element of Ordered pair is called Range.

For, the ordered pair, (x,y)

x= Domain

y=Range

For, the Set G ,Consisting of ordered pair

   = {(-1, 7),(-8, 2),(0, 0),(6, 6)}

⇒Domain of G = {-1, -8, 0,6}

⇒Range of G= {2, 7, 0, 6}

All the second numbers. {0, 2, 6, 7}.

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?

Answers

Also need to be increase different then level more of the level

Answer:

Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour  Option (B)

Step-by-step explanation:Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour

Five more than three times a number is 196 what is the number?

Answers

x-the\ number\n\n5+3x=196\n\n3x=191\ /:3\n\nx= (191)/(3) \n\nx=63 (2)/(3)

Which equation matches the sentence?Column A Column B
1.
Three less than 9 times a number is 21.
2.
The sum of 3 times a number and 9 is 21.
3.
The difference of 9 times a number and 3 is 21.
4.
Nine less than 3 times a number is 21.
A.
3n + 9 = 21
B.
9n – 3 = 21
C.
3n – 9 = 21

Answers

Hello,

1: 9n-3=21 ==>B

2: 3n+9=21 ==>A

3: 9n-3=21 ==>B

4: 3n-9=21 ==>C

I wish to have understood all those sentences.

The combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other square. What is the length of each side of the larger square?

Answers

a - side of the square
a₁ - arm the small square
a
₂ - larger side of the square
2a
= a₂  we put into the equation 2
(a₁)² + (a₂)² = 45cm²

2a₁ = a₂
(a₁)² + (2a₁)² = 45cm²
(a₁)² + 4(a₁)² = 45cm²
5(a₁)² = 45cm²
(a₁)² = 9cm²
a₁ = √(9cm²) = 3cm
a₂ = 2a₁ = 2*3cm = 6cm
A₁ = (a₁)² = (3cm)² = 9cm²
A₂ = (a₂)² = (6cm)² = 36cm²
A₁ + A₂ = 9cm² + 36cm² = 45cm²