Answer:
904.32 ft^3
Step-by-step explanation:
Sphere Volume Formula: ![\frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D)
![\pi r^{3}](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B3%7D)
Plug in the numbers:
≅904.78
Answer:
71/100 of Marcus' garden is daffodils and sunflowers.
Step-by-step explanation:
To add fractions, the denominators need to be equal. So, 6/10 -> 60/100. 60+11=71, keep the 100. 71/100. Hope this helps!
Answer:
<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>
Step-by-step explanation:
![a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}](https://tex.z-dn.net/?f=a-%5Ctext%7Bnumber%20of%20the%20tickets%20for%20an%20adult%7D%5C%5Cs-%5Ctext%7Bnumber%20of%20the%20tickets%20for%20a%20student%7D%5C%5C%5C%5C%281%29%5Cqquad%20a%2Bs%3D300%5C%5C%282%29%5Cqquad4.5a%2B3s%3D1087.5%5C%5C------------%5C%5C%281%29%5C%5Ca%2Bs%3D300%5Cqquad%5Ctext%7Bsubtstitute%7D%5C%20s%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5Ca%3D300-s%5C%5C%5C%5C%5Ctext%7BPut%20it%20to%20%282%29%3A%7D%5C%5C%5C%5C4.5%28300-s%29%2B3s%3D1087.5%5Cqquad%5Ctext%7Buse%20distributive%20property%7D%5C%5C%5C%5C%284.5%29%28300%29%2B%284.5%29%28-s%29%2B3s%3D1087.5%5C%5C%5C%5C1350-4.5s%2B3s%3D1087.5%5Cqquad%5Ctext%7Bsubtract%201350%20from%20both%20sides%7D%5C%5C%5C%5C-1.5s%3D-262.5%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%20%28-1.5%29%7D%5C%5C%5C%5C%5Cboxed%7Bs%3D175%7D)
![\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}](https://tex.z-dn.net/?f=%5Ctext%7BPut%20the%20value%20of%7D%5C%20s%5C%20%5Ctext%7Bto%20%281%29%3A%7D%5C%5C%5C%5Ca%3D300-175%5C%5C%5C%5C%5Cboxed%7Ba%3D125%7D)
Two lines with congruent alternate interior angles would be parallel.
The answer is true.
Answer:
450 banana cream pies
Step-by-step explanation:
Total number of pies in a month = 1500;
this represents 100% of the pies
Out of the total pies in a month, the proportion of banana cream pies = 30%
Next, find the number of banana cream pies ;
# of Banana pies = proportion of banana pies * total number of pies
=30% *1500
= 450
Therefore, the banana cream pies sold were 450.