Respuesta :
we know that
The combined capacity of the pools is equal to the capacity of the olympic size pool plus the capacity of the smaller pool
so
Capacity of the olympic size pool
[tex]8.12*10^{5}\ gallons[/tex]
Capacity of the smaller pool
[tex]5.27*10^{5}\ gallons[/tex]
Adds the two capacities
[tex]8.12*10^{5}\ gallons+5.27*10^{5}\ gallons=13.39*10^{5}\ gallons[/tex]
[tex]13.39*10^{5}\ gallons=1.339*10^{6}\ gallons[/tex]
therefore
the answer is
[tex]1.339*10^{6}\ gallons[/tex]
The combined capacity of the pools is [tex]\fbox{\begin\\\ 1.339\times 10^{6}\text{ gallons}\\\end{minispace}}[/tex].
Further explanation:
Given:
The capacity of Olympic size pool is [tex]8.12\times 10^{5}[/tex] gallons of water.
The capacity of smaller size pool is [tex]5.27\times 10^{5}[/tex] gallons of water.
Concept used:
The combined capacity of water in the Olympic pools and smaller pool is obtained by the addition of both the capacity of the pools.
In the other words combined capacity of pools is equal to the sum of the capacity of water in Olympic pools and the capacity of water in the smaller pools.
Calculation:
Consider the combined capacity of pool as [tex]C[/tex], the capacity of the Olympic size pools as [tex]X[/tex] and the capacity of smaller size pools as [tex]Y[/tex].
Therefore the combined capacity of the pool is obtained as,
[tex]\fbox{\begin\\\ \math C=X+Y\\\end{minispace}}[/tex] .....(1)
Substitute [tex]8.12\times10^{5}[/tex] for [tex]X[/tex] and [tex]5.27\times10^{5}[/tex] for [tex]Y[/tex] in equation (1) to obtain the combined capacity.
[tex]\begin{aligned}C&=(8.12\times10^{5})+(5.27\times10^{5})\\&=(8.12+5.27)\times10^{5}\\&=13.39\times10^{5}\\&=1.339\times10^{6}\end{aligned}[/tex]
Therefore, the combined capacity of the pools is [tex]\fbox{\begin\\\ 1.339\times 10^{6}\text{ gallons}\\\end{minispace}}[/tex].
Learn more:
1. Solution of linear equation brainly.com/question/1682776
2. Volume of object https brainly.com/question/1446243
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Mensuration
Keywords: Capacity, gallons, pools, water, Olympic size, smaller, combined capacity, mensuration, addition.
