What is -2+6y=18 3y=15 ?

Answers

Answer 1

Answer: $-2+6y=18\ \ \ |add\ 2\ to\ both\ sides\n6y=20\ \ \ \ \ |divide\ both\ sides\ by\ 6\ny=(20)/(6)\n\n\boxed{y=(10)/(3)}\n---------------------\n\n3y=15\ \ \ \ \ |divide\ both\ sides\ by\ 3\n\n\boxed{y=5}$

Answer 2

Answer: $\left \{ {{-2+6y=18} \atop {3y=15}} \right. \n +2+2 \left \{ {{6y=20} \atop {3y=15}} \right. \n /3/3 \left \{ {{6y=20} \atop {y=5}} \right.\n /6/6 \left \{ {{y=3 (1)/(3) } \atop {y=5}} \right.$

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Find the least number which when increased by 15 is exactly divisible by 15, 35and 48.

Answers

lmc(15,35,48) is

15,35,48 | 2
15,35,24 | 2
15,35,12 | 2
15,35, 6 | 2
15,35, 3 | 3
5,35, 1 | 5
1, 7, 1 | 7
1, 7, 1 lcm(15,35,48) = 1680

So found number is 1680 - 15 = 1665

Tabitha wants to hang a painting in a gallery. The painting and frame must have an area of 58 square feet. The painting is 7 feet wide by 8 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?

Answers

The quadratic equation would be;
x2+15x-2=0

Working:
Assuming the area around the painting i.e the frame, has a uniform thickness, then;
Length of painting and frame = 8+x
Breadth of painting and frame= 7+x

The area from above step gives;
A= LxW
A= (8+x)(7+x)
On expanding, 56+8x+7x+x2
On simplifying,
56+15x+x2. This should be equal to 58.
58=x2+15x+56
Taking 58 to the other side,
x2+15x-2=0

How do you work out 15% of 80000