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Answer :
We are given that each solar panel generates [tex]$\frac{8}{15}$[/tex] kilowatts of power, and the store requires [tex]$45$[/tex] kilowatts of power. To find the number of solar panels needed, we can start by writing the equation:
[tex]$$
\frac{8}{15} \times n = 45,
$$[/tex]
where [tex]$n$[/tex] represents the number of solar panels.
To solve for [tex]$n$[/tex], isolate it by dividing both sides by [tex]$\frac{8}{15}$[/tex]:
[tex]$$
n = \frac{45}{\frac{8}{15}} = 45 \times \frac{15}{8}.
$$[/tex]
When we calculate the exact value, we have
[tex]$$
n = 45 \times \frac{15}{8} = \frac{675}{8} = 84.375.
$$[/tex]
Since we cannot use a fractional part of a solar panel, we round up to the next whole number. Therefore, the store needs
[tex]$$
n = 85
$$[/tex]
solar panels.
Thus, the final answer is that the store requires [tex]$\boxed{85}$[/tex] solar panels.
[tex]$$
\frac{8}{15} \times n = 45,
$$[/tex]
where [tex]$n$[/tex] represents the number of solar panels.
To solve for [tex]$n$[/tex], isolate it by dividing both sides by [tex]$\frac{8}{15}$[/tex]:
[tex]$$
n = \frac{45}{\frac{8}{15}} = 45 \times \frac{15}{8}.
$$[/tex]
When we calculate the exact value, we have
[tex]$$
n = 45 \times \frac{15}{8} = \frac{675}{8} = 84.375.
$$[/tex]
Since we cannot use a fractional part of a solar panel, we round up to the next whole number. Therefore, the store needs
[tex]$$
n = 85
$$[/tex]
solar panels.
Thus, the final answer is that the store requires [tex]$\boxed{85}$[/tex] solar panels.
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