Question

1. vik wrote the equation $470 \cdot h = 3,008$, where $h$ is the number of hours it took a plane flying at a constant speed of 470 miles per hour to travel 3,008 miles. solve for $h$.13. a nursery owner buys 7 panes of glass to repair some damage to his greenhouse. the 7 panes cost $15.05. unfortunately, he breaks 2 panes while repairing the damage. what is the cost of another 2 panes of glass?14. cheyenne drew a circle with diameter 1 meter. she measured the circumference to estimate the value of pi. complete the table, and then write an equation to find the circumference, $c$, for a circle with diameter $d$.| diameter, $d$ (meters) | 1 | 2 | 3 || ---- | ---- | ---- | ---- || circumference, $c$ (meters) | 3.14 | | |15. jayden bought 70 feet of speaker wire for $18.20. he needs 30 more feet. if the unit price is the same, how much will jayden pay for the extra 30 feet of wire? explain.16. higher order thinking sasha runs at a constant speed of 3.8 meters per second for $\frac{1}{2}$ hour. then she walks at a constant rate of 1.5 meters per second for $\frac{1}{2}$ hour. how far did sasha run and walk in 60 minutes?17. suppose that a leatherback turtle swam 7.5 kilometers in 3 hours at a constant speed.part ahow many kilometers per hour did the turtle swim?part bat this rate, how long would it take the turtle to swim 10 kilometers?

Explanation:

Step1: Isolate h by dividing both sides

$h = \frac{3008}{470}$

Step2: Calculate the quotient

$h = 6.4$

Step1: Find cost per glass pane

$\text{Cost per pane} = \frac{15.05}{7} = 2.15$

Step2: Calculate cost for 2 panes

$\text{Total cost} = 2.15 \times 2 = 4.30$

Step1: Calculate circumference for d=2

$C = \pi d = 3.14 \times 2 = 6.28$

Step2: Calculate circumference for d=3

$C = \pi d = 3.14 \times 3 = 9.42$

Step3: Write general circumference equation

$C = \pi d$

Step1: Find unit price per foot

$\text{Unit price} = \frac{18.20}{70} = 0.26$

Step2: Calculate cost for 30 feet

$\text{Cost} = 0.26 \times 30 = 7.80$

Answer:

$h = 6.4$ hours

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