Answer: 2/3 + 1/4 = 11/12
The least common denominator of both denominators is 12.
The first fraction , 3 x 4 = 12
2 2x4 8
— = —— = —
3 3x4 12
The second is the same , 4 x 3 = 12
1 1x3 3
— = —— = —
4 4x3 12
Add both fractions:
8 3 8 + 3 11
— + — = ——— = —
12 12 12 12
5 and 10
5 and 100
5 and 100 million
For number 5, if you know that one angle is 65 degrees, then you can find the angle of the supplementary angle by subtracting it from 180:
180 - 65 = 115 degrees < this is what your supplementary angle will be.
Starting from the top, the graph should read:
115 , 65
65 , 115
115 , 65
65 , 115
For number 6, all of the angles are right angles. We know that all right angles have a degree of 90, therefore every angle should be written as 90 degrees. Additionally, in order to find any supplementary angle, you take the known (90) and subtract it from 180. >> 180 - 90 = 90.
Answer:
- short-term: $90,000
- long-term: $70,000
Step-by-step explanation:
Let x represent the amount borrowed on the short term. Then 160000-x is the amount of the long-term note. The total interest is ...
0.11x +0.08(160000-x) = 15500
0.03x + 12800 = 15500 . . . . simplify
0.03x = 2700 . . . . . . . . . subtract 12800
x = 2700/.03 = 90,000 . . . . short-term note
160,000 -90,000 = 70,000 . . . . long-term note
The short-term note was for $90,000; the long-term note was for $70,000.
Step-by-step explanation:
The dimensions of the cuboid are 5 cm, 7 cm and 9 cm.
The formula for the surface area of the cuboid is as follows :
We have,
b = 9 cm, l = 7 cm and h = 5 cm
So,
Jamie forgets to multiply 143 by 2 as the formula for surface area contains 2 as well.
