Distributive property is a (b+c) = ab + ac
Answer: 37
Explanation:
Order of operations says you do multiplication first, you get 4 • 10 = 40
Then do subtraction, so 40 - 3 = 37
Hope this helps!
Formula for the perimeter of a quarter circle: C = ((pi x 2r) / 4) + 2r
C = ((3.14 x 18) / 4) + 18
C = (56.52 / 4) + 18
C = 14.13 + 18
C = 32.13 miles
Hope this helps! :)
Answer: $31000 was loaned at 13%.
Step-by-step explanation:
Let x represent the amount loaned out at 13% interest rate.
Let y represent the amount loaned out at 5% interest rate.
The bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. It means that
x + y = 68000
The interest received made from $x in one year is
13/100 × x = 0.13x
The interest received made from $y in one year is
5/100 × x = 0.05y
If the interest received was $5880, it means that
0.13x + 0.05y = 5880- - - - - - - - - 1
Substituting x = 68000 - y into equation 1, it becomes
0.13(68000 - y) + 0.05y = 5880
8840 - 0.13y + 0.05y = 5880
- 0.13y + 0.05y = 5880 - 8840
- 0.08y = - 2960
y = - 2960/- 0.08
y = 37000
x = 68000 - y = 68000 - 37000
x = $31000
Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I
Step-by-step explanation:
8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.
9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.
10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So, b will also equal 70 degrees.
Part B:
1. G
2. J
3. F
4. E
5. B
6. A
7. H
8. C
9. D
10. I
