You will use a graph like first to help ounderstand proportional fractions
So here are 4 rules when it comes to exponents:
- When you raise a power to a power, you really just multiply the exponents:
- When you multiply 2 exponents of the same base, you add the exponents together:
- When you divide 2 exponents of the same base, you subtract the exponents:
- To convert a negative exponent into a positive one, flip it to its reciprocal:
<u>Part A:</u>
<u>Part B:</u>
<u>Part C:</u>
Sarah's income = Number of trays × Rate per tray
y = 450 × 8
If there is an increase of 0.85 in price,
New price = 8 + 0.85
For x number of increases,
new price = 8 + 0.85x.
Number of trays reduced = 450 - 15x.
So, Sarah's income in this case is y = (450 - 15x) (8 + 0.85x).
Answer:
B = 90
C = 44
D = 46
Step-by-step explanation:
a right angle means that it is 90 degrees, and the combination of all angles must be 180 degrees. This means that angles D and C must equal 90. If you add together the equations assuming the answer is 90, you can solve for x.
(5x - 29) + (2x + 14) = 90
7x - 29 + 14 = 90
7x - 15 = 90
7x = 105
(7x = 105) ÷ 7
x = 15
When you get the value for x you can then plug it into the individual equations to find the degree of the angle
5(15) - 29
75 - 29 = 46
Angle D = 46
2(15) + 14
30 + 14 = 44
Angle C = 44
To check your answer you can add all of the angles together and if they equal 180 then your answer is correct
44 + 46 + 90
90 + 90 = 180
Answer:
11. x = -16
12. k = 6
13. x = -19
14. x = -6
15. x = -20
16. Combining like terms isn't to be used on this type of problem. I'm sorry, can you guess on this one?
17. x = 19
18. n = -10
19. b = 11
20. n = 4
21. r = -6
22. n = -4
Again super sorry about question 16 :(
