Answer: $3510
Step-by-step explanation:
Fro th question, Alice, Bryan and Cindy share the cost of renting an apartment in the ratio 3:6:4 respectively and we.are informed that Alice pays $810 monthly.
Alice ratio = 3
Bryan's ratio = 6
Cindy's ratio = 4
Total ratio = 3+6+4 = 13
Since Alice has a ratio of 3, this means that Alice pays 3/13 of the total monthly rent. Let the total rent be x. Therefore,
3/13 of x = 810
3/13 × x = 810
3x/13 = 810
3x = 810 × 13
3x = 10530
x = 10530/3
x = 3510
Therefore, the monthly rent is $3510
Answer: $1125
Step-by-step explanation:
He works five days a week so it would be 225 times 5 which equals 1125
Answer:
Step-by-step explanation:
No esay but they just do
Answer:
The number of seashells he have in his collection all together is <u>140</u>.
Step-by-step explanation:
Given:
Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.
Stanley has 49 seashells from Florida.
Now, to find the number of seashells of his collection altogether.
Let the number of seashells all together be ![x.](https://tex.z-dn.net/?f=x.)
Percentage of seashells found on Florida beaches = 35%.
Number of seashells found on Florida beaches = 49.
Now, to get the number of seashells altogether we put an equation:
![35\%\ of\ x=49.](https://tex.z-dn.net/?f=35%5C%25%5C%20of%5C%20x%3D49.)
⇒ ![\frac{35}{100} \times x=49](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7B100%7D%20%5Ctimes%20x%3D49)
⇒ ![0.35\times x=49](https://tex.z-dn.net/?f=0.35%5Ctimes%20x%3D49)
⇒ ![0.35x=49](https://tex.z-dn.net/?f=0.35x%3D49)
Dividing both sides by 0.35 we get:
⇒ ![x=140.](https://tex.z-dn.net/?f=x%3D140.)
Therefore, the number of seashells he have in his collection all together is 140.
Answer:
see explanation
Step-by-step explanation:
Note that cos315° = cos45° and sin315° = - sin45° and
cos45° = sin45° =
= ![\frac{\sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D)
Hence
12(cos315° + isin315°)
= 12(cos45° - isin45°)
= 12(
- i
)
= 6
- 6i ![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)