Answer:
The money Rachael plan to collect for the shelter is <u>$345</u>.
Step-by-step explanation:
<u><em>There are some data missing in the question, so below is the complete question:</em></u>
Rachel is collecting donations for the local animal shelter. So far she has collected $245, which is 70% of what she hopes to collect. How much money does Rachel plan to collect for the shelter?
Now, to find the money Rachael plan to collect for the shelter.
Let the total money Rachael plan to collect be ![x.](https://tex.z-dn.net/?f=x.)
The amount far she has collected = $245.
Percentage of amount she hopes to collect = 70%.
Now, to get the total money Rachael plan to collect:
![70\%\ of\ x=245](https://tex.z-dn.net/?f=70%5C%25%5C%20of%5C%20x%3D245)
![\frac{70}{100} \times x=245](https://tex.z-dn.net/?f=%5Cfrac%7B70%7D%7B100%7D%20%5Ctimes%20x%3D245)
![0.70x=245](https://tex.z-dn.net/?f=0.70x%3D245)
<em>Dividing both sides by 0.70 we get:</em>
![x=\$345.](https://tex.z-dn.net/?f=x%3D%5C%24345.)
Therefore, the money Rachael plan to collect for the shelter is $345.
Step-by-step explanation:
Since, r varies directly as s
![\therefore \: r \: \: \alpha \: \: s \\ \therefore \: r = k s..(1) \: \\ (k = \: constant \: of \: proportionality ) \\ plug \: s = 10 \: and \: k = 4 \: in \: equation \: (1) \\ r = 4 \times 10 \\ \huge \red{ \boxed{ \therefore \: r =40}}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20r%20%5C%3A%20%20%5C%3A%20%20%5Calpha%20%5C%3A%20%20%5C%3A%20s%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20r%20%20%3D%20k%20s..%281%29%20%5C%3A%20%20%5C%5C%20%28k%20%3D%20%20%5C%3A%20constant%20%5C%3A%20of%20%5C%3A%20proportionality%20%29%20%5C%5C%20plug%20%5C%3A%20s%20%3D%2010%20%5C%3A%20and%20%5C%3A%20k%20%3D%204%20%5C%3A%20%20in%20%5C%3A%20equation%20%5C%3A%20%281%29%20%5C%5C%20r%20%3D%204%20%5Ctimes%2010%20%5C%5C%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3A%20r%20%20%3D40%7D%7D)
Answer: 3,965,481
Step-by-step explanation:
Given: In 2016, the Maricopa County population is approximately 3.817 million.
i.e. Initial population= 3.817 million =3,817,000
Of the population increases from the current population by 3.89 % over the next 5 years,
Population increased = 3.89% of 3,817,000
= 0.0389 (3817000)
= 148481.3 ≈ 148481
Population in 2021= 3,817,000 +148,481 =3,965,481
Hence, the population in 2021 = 3,965,481
Answer:
The numbers are 26.5, 53 and 17.5.
Step-by-step explanation:
97=x+(x-9)+2x
97+9=4x
106/4=4x/4
x= 26.5
x-9 = 17.5
2x= 53
I got 6 units^2. So the answer is the second choice. ab/2 = 3*4/2 = 6.