Mathematics: Sophie and Marcos are each saving for new bicycles. So far, Sophie has $6 saved and can earn $5 per hour walking dogs. Marcos has $3 saved and can earn $6 per hour at his family s plant nursery. After how many hours of work will Sophie and Marcos have saved the same amount? What will that amount be? Use the system of equations below to complete the graph. Sophie: y = 5x + 6 Marcos: y = 6x + 3

Sophie and Marcos are each saving for new bicycles.

abebaretosuacegod445

10.01.2022

6+5=11+5=16+5=21
3+6=9+6=15+6=21
It will take Marco and Sophie 3 hours to have the same amount. The same amount they will have will be $21.

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matt851062

10.01.2022

h=94.87

Step-by-step explanation:

1. Volume of pyramid formula:

$v=\frac{1}{3}*a^{2}*h$

a=b*h Base Edge * Height of Pyramid

2. We have variables:

V = 480, Base Edge = 10, Height of Base = 16 (Inch)

3. Plug into formula + Rearrange:

$\frac{3V}{h} =(b*h)^{2} [b^{2} *h^{2} ]$

$\frac{3V*b^{2} }{h} =h^{2}$

$h^{2}=\frac{3*480*10^{2} }{16}$

$h=\sqrt{9000}$

h≅94.868

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