$\text{Substitute the values of x and y to the equation}\\\\x=-2,\ y=6,\ 3ax+2by=6\\\\3a(-2)+2b(6)=6\\\\-6a+12b=6\qquad|\text{add 6a to both sides}\\\\12b=6a+6\qquad|\text{divide both sides by 12}\\\\b=\dfrac{6a}{12}+\dfrac{6}{12}\\\\\boxed{b=\dfrac{1}{2}a+\dfrac{1}{2}}$

7 0

3 years ago

What is the area of a rectangle whose sides are 12 feet long and 5 feet wide?

IgorLugansk [536]

Answer:

Step-by-step explanation:

Area of rectangle (A)=Length (L) × Width (W)

A=12×5

A=60

3 0

3 years ago

Steven wants to buy a $500 bicycle. Steven has no money saved, but will be able to deposit $45 into a savings account when he re

zheka24 [161]

45w = 500 + 85
45w = 585
w = 585/45
w = 13 <=== 13 weeks

3 0

3 years ago

Jacob made a banner for a sporting event in the shape of a parallelogram. The area of the banner is 127 1/2 square centimeters.

Bogdan [553]

Answer:

The base of the banner is 30 centimeters.

Step-by-step explanation:

Area = base × height

Plug in the numbers:

127 1/2 = b × 4 1/4

Convert mixed fractions into improper fractions for easier calculations.

Improper fraction formula: (denominator × mixed number + numerator)/denoninator

(2 × 127 + 1)/2 = 255/2

(4 × 4 + 1)/4 = 17/4

Rewrite equation:

255/2 = b × 17/4

Isolate variable b by multiplying the reciprocal of 17/4 (which is 4/17).

1020/34 = b

Simplify.

30 = b

5 0

3 years ago