Answer:
Perimeter = 10x + 8 units.
Area = 6x^2 + 13x - 5 units^2.
Step-by-step explanation:
The perimeter is 2*length + 2*breadth
= 2(2x + 5) + 2(3x - 1)
= 4x + 10 + 6x - 2
= 10x + 8 units.
The area = length * breadth
= (2x + 5)(3x - 1)
= 6x^2 - 2x + 15x - 5
= 6x^2 + 13x - 5 units^2.
Answer:
y=3
Step-by-step explanation:
4y-8+4=8
4y-4=8
4y-4+4=8+4
4y=12
4y/4=12/4
y=3
Answer:
1:6
Step-by-step explanation:
Given that there are 10 circles and 2 triangles, the total number of shapes is equal to 10+2.
10+2=12
Because there are 2 triangles, the ratio of triangles to total shapes is equal to 2:12.
However, this ratio can be simplified because both sides are multiples of 2. Divide both sides of the ratio by 2 to simplify the ratio.
2:12
1:6
Therefore, the simplest ratio of triangles to total shapes is 1:6.
I hope this helps!
Yesterday, Jake laid down 2/3 yards of duct tape on his tile floor. His friends wanted the line to be longer. Jake laid down 2/3 yards more duct tape. How long is the line of duct tape now?
1. Multiply the value of the house by the percent:
250,000 x 0.9 = 225,000
Divide the amount the owner insured by the clause amount:
191,250/225,000 = 0.85
Multiply that by the amount of damage:
0.85 x 80,000 = 68,000
They will receive $68,000
2. Follow the same steps as above:
180,000 x 0.75 = 135,000
101,250 / 135,000 = 0.75
0.75 x 50,000 = 37,500
They will receive $37,500
