Answer:
After about 12 months both Caitlyn and Santos will have the same balance of 150 dollars in their bank account.
Step-by-step explanation:
Caitlyn's saving: -5x+210
Santos' saving: 5x+90
To know when the total amount in their bank account is the same you would need to make these linear equations equal to one another.
-5x+210 = 5x+90
(Add 5x on both sides)
210=10x+90
(Subtract 90 from both sides)
120=10x
(Simplify)
x=12
After about 12 months their total savings should be the same. To check what their balance will be plug the x value of 12 into both of these equations. This should give 150 as your answer for both equations.
6 and -2 multiplied by each other = -12 and added together = 4
3. 180 - (53+68) = 59
The answer is B. 59°
4.
Part A: The measure of a is 70°.
Explanation: The angle sum in any triangle is 180°. 70 + 40 is 110. To find the final angle, subtract 110 from 180. 180 - 110 = 70
Part B: The length of x is 5m.
Explanation. The triangle is an isosceles triangle. We know this because the two angles on the base are equal. Since this is an isosceles triangle, the two longer sides are the same length. Therefore: x = 5 m.
When comparing, think of the signs as a crocodile. A crocodile will want to eat greater (bigger) numbers than smaller numbers. So, you can think of it as that way.
2. 0.5 < 0.8 ... 0.8 is greater than 0.5
5. 0.7 = 0.70 ... This is same. 0.70 just has an extra 0 which you don't need.
8. 2.9 > 2.8 ... 2.9 is greater since 9 is bigger than 8.
11. 0.65 > 0.36 ... 65 is greater than 36. Therefore, 0.65 is greater.
14. 4.50 > 4.05 ... 4.50 has a five in the tenth place. 4.05 has five in the hundredth place.
17. 6.01 < 6.1 ... 6.1 has a one in the tenth place. 6.01 has a one in the hundredth place.
The two given angles are vertical angles and equal each other:
3x + 50 = 6x -10
Now solve for x:
Subtract 3x from both sides:
50 = 3x -10
Add 10 to both sides:
60 = 3x
Divide both sides by 3
X = 20
