Answer:
The new volume of an enlarged tank is 4000m³
Step-by-step explanation:
The scale factor has to be multiplied by the width, length and height so we will have to multiply it 3 times
h * w * l = 32 m³
(h*5) * (w*5) * (l*5)
if we rearrange the multiplications
(h * w * l) * 5 *5 * 5 =
v * 5 * 5 * 5 =
32m³ * 5 *5 *5 = 4000m³
Answer:
<h2>15.3 gallons</h2><h2 />
Step-by-step explanation:
ratio and proportion
<u>420 miles </u> = <u> 357 miles</u>
18 gallons x gallons
420 (x) = 357 (18)
x = 6426 / 420
x = 15.3 gallons
The calculator came up with this -23.399156493247038795316239455591
<h3><u>
Answer:</u></h3>
Hence, the sum of a 7-term geometric series is:
-32766.
<h3><u>
Step-by-step explanation:</u></h3>
We have to find the sum of a 7-term geometric series (i.e. n=7) if the first term(a) is -6, the last term is -24,576, and the common ratio(r) is 4.
We know that the sum of the 7-term geometric series is given as:
![S_n=a\times (\dfrac{r^n-1}{r-1})](https://tex.z-dn.net/?f=S_n%3Da%5Ctimes%20%28%5Cdfrac%7Br%5En-1%7D%7Br-1%7D%29)
On putting the value of a,n and r in the given formula we have:
![S_7=(-6)\times (\dfrac{4^7-1}{4-1})\\\\\\S_7=-32766](https://tex.z-dn.net/?f=S_7%3D%28-6%29%5Ctimes%20%28%5Cdfrac%7B4%5E7-1%7D%7B4-1%7D%29%5C%5C%5C%5C%5C%5CS_7%3D-32766)
Hence, the sum of a 7-term geometric series is:
-32766.
Let the amount B pays be £x
So,
A pays £125
B pays £x
They pay in the ration 3:2
Therefore,
125/x = 3/2
Cross multiplying we get,
125 x 2 = 3x
3x = 250
x = £63.33