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Vikki [24]
3 years ago
11

Simplify by combining like terms 6a + 3b + a + 2

Mathematics
1 answer:
IrinaK [193]3 years ago
6 0

Answer:

7a+3b+2

Step-by-step explanation:

6a+3b+a+2

Use commutative property of addition x+y=y+x

6a+3b+a+2=6a+(a+3b)+2

use associative property of addition x+(y+2)=(x+y)+2

6a+(a+3b)+2=(6a+a)+3b+2\\=7a+3b+2

Hence 6a+3b+a+2=7a+3b+2

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Explain what your solution means using complete sentences. How many t-shirts can she buy? Focus your answer on the difference be
Feliz [49]

The complete question is

"Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cost $14 each.

Explain what your solution means using complete sentences. How many t-shirts can she buy? Focus your answer on the difference between an equation and an inequality."

The expression that represents the number of t-shirts that Lisa can purchase is 14x + 58 = 150. The number of shirts that can be bought is 6.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cost $14 each.

Let the number of shirts be x. The expression will be:

= (14 × x) + 58 = 150

14x + 58 = 150

Solving the expression will be:

14x + 58 = 150

14x = 150 - 58

14x = 92

x = 92/14

x = 6.5

The number of shirts that can be bought is 6.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

4 0
2 years ago
Solve the quadratic formula (x+3)^2=69
mote1985 [20]

Answer:

Step-by-step explanation:

The given quadratic equation is expressed as

(x + 3)² = 69

(x + 3)(x + 3) = 69

x² + 3x + 3x = 69

x² + 6x - 69 = 0

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 1

b = 6

c = - 69

Therefore,

x = [- 6 ± √(6² - 4 × 1 × - 69)]/2 × 1

x = [- 6 ± √(36 + 276)]/2

x = [- 6 ± √312]/2

x = (- 6 + 17.7)/2 or x = (- 6 - 17.7)/2

x = 11.7/2 or x = -23.7/2

x = 5.85 or x= - 11.85

6 0
3 years ago
If 10% of a group of children are girls, what is the ratio of girls to boys​
Ipatiy [6.2K]

Answer:

9 boys to 1 girl

Step-by-step explanation:

3 0
3 years ago
The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diam
muminat

Answer:

7.1 feet^2

Step-by-step explanation:

The base is made of a circular shape, so to solve this question we need to know how to calculate the circle area. The formula for the circle area is π  * r^2 so we need to find the radius(r). Radius equal to half of the diameter and the diameter needed is 3 feet, then the area of the circle will be:

area = π  * r^2

area = 3.14 * (3/2 feet)^2

area = 7.065 feet^2 = 7.1 feet^2

4 0
3 years ago
I WILL GIVE BRAINLIST HELPPP PLSSSS
emmasim [6.3K]

Answer: 220 in^3

Step-by-step explanation:

Area of the rectangle: 20x8 = 160

Area of right triangle: 8x15/2 = 60

Side of right triangle = 8, as the pythagorean triple 8,15,17 states C:

Area of the figure: rectangle + triangle = 160+60 = 220

Hope this helps!

4 0
3 years ago
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