Answer:
= 4
Step-by-step explanation:
sqrt 15 = 3.872
to approximate to the nearest whole number (integer), you take the first decimal number which is 8, since 8 is greater than 5, you will add one(1) to the whole number which is 3 to make it 4.
The ratio of the volume of pipe a to the volume of pipe b is 27:1 .
<h3>What is cylinder?</h3>
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.
Given that,
Radius of pipe a is 6 cm, and the radius of pipe b is 2 cm.
We know that the volume of cylinder is :- ![\pi r^{2}h](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7Dh)
where r is radius and h is height of the cylinder.
If two figures are similar then ratio of volume is equal to the cube of any dimension.
The ratio of the volume of Pipe a to the volume of Pipe b :-
![\frac{V(a)}{V(b)}=\frac{6^{3} }{2^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7BV%28a%29%7D%7BV%28b%29%7D%3D%5Cfrac%7B6%5E%7B3%7D%20%7D%7B2%5E%7B3%7D%20%7D)
= ![\frac{27}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B1%7D)
Hence, The ratio of the volume of pipe a to the volume of pipe b is 27:1 .
To learn more about cylinder from the given link:
brainly.com/question/1392572
#SPJ4
Depends it could be 14812 if they want total value or just the interest would be 7812
Answer:
Does the answer help you?
Let x be the number of weeks; therefore, the two linear equations are
![\begin{gathered} T=2+7x \\ \text{and} \\ C=11+4x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20T%3D2%2B7x%20%5C%5C%20%5Ctext%7Band%7D%20%5C%5C%20C%3D11%2B4x%20%5Cend%7Bgathered%7D)
Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.
Solving by substitution. Set T=C, then
![\begin{gathered} T=C \\ \Rightarrow2+7x=11+4x \\ \Rightarrow3x=9 \\ \Rightarrow x=\frac{9}{3}=3 \\ \Rightarrow x=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20T%3DC%20%5C%5C%20%5CRightarrow2%2B7x%3D11%2B4x%20%5C%5C%20%5CRightarrow3x%3D9%20%5C%5C%20%5CRightarrow%20x%3D%5Cfrac%7B9%7D%7B3%7D%3D3%20%5C%5C%20%5CRightarrow%20x%3D3%20%5Cend%7Bgathered%7D)
Thus, substitute the value of x=3 into the first equation,
![\begin{gathered} x=3 \\ \Rightarrow T=2+7\cdot3=23 \\ \Rightarrow T=23 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D3%20%5C%5C%20%5CRightarrow%20T%3D2%2B7%5Ccdot3%3D23%20%5C%5C%20%5CRightarrow%20T%3D23%20%5Cend%7Bgathered%7D)
Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.