Answer:
The answer is 16.8 cm^ 2.
Answer:
His savings were of $4,200.
Step-by-step explanation:
Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:
This means that the son and daughter amount is:
![\frac{5}{14} + \frac{2}{3}(\frac{9}{14})](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B14%7D%20%2B%20%5Cfrac%7B2%7D%7B3%7D%28%5Cfrac%7B9%7D%7B14%7D%29)
As
is the remained that his son did not get. So
![\frac{5}{14} + \frac{2}{3}(\frac{9}{14}) = \frac{15}{42} + \frac{18}{42} = \frac{33}{42}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B14%7D%20%2B%20%5Cfrac%7B2%7D%7B3%7D%28%5Cfrac%7B9%7D%7B14%7D%29%20%3D%20%5Cfrac%7B15%7D%7B42%7D%20%2B%20%5Cfrac%7B18%7D%7B42%7D%20%3D%20%5Cfrac%7B33%7D%7B42%7D)
Fraction his wife got:
![1 - \frac{33}{42} = \frac{42}{42} - \frac{33}{42} = \frac{9}{42}](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B33%7D%7B42%7D%20%3D%20%5Cfrac%7B42%7D%7B42%7D%20-%20%5Cfrac%7B33%7D%7B42%7D%20%3D%20%5Cfrac%7B9%7D%7B42%7D)
If his wife got $900, what were his savings?
Total savings are x, wife got
of x. So
![\frac{9x}{42} = 900](https://tex.z-dn.net/?f=%5Cfrac%7B9x%7D%7B42%7D%20%3D%20900)
![9x = 900*42](https://tex.z-dn.net/?f=9x%20%3D%20900%2A42)
![x = \frac{900*42}{9}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B900%2A42%7D%7B9%7D)
![x = 100*42](https://tex.z-dn.net/?f=x%20%3D%20100%2A42)
![x = 4200](https://tex.z-dn.net/?f=x%20%3D%204200)
His savings were of $4,200.
Answer: D) reflection across y = -x
Explanation:
When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).
When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is ![(x,y) \to (-y,-x)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28-y%2C-x%29)
So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).
Similarly, B(1,5) moves to B ' (-5, -1)
Finally, C(6,9) becomes C ' (-9, -6)
Answer:
-31
Step-by-step explanation:
We need to use BODMAS to figure out the answer to this extremely difficult question:
So first we need to multiply:
-7 × 6 = -42
Then we need to add:
2 + 4 + 5 = 11
Now we need to subtract:
11 - 42 = -31
Answer: 35.7%
Step-by-step explanation:
140$ / 100% = 1.4$ per 1%
Next 50$ / 1.4% = 35.71
Round 35.71 to closest tenth so it would be 35.7