Answer:
x = 3 and x = -3
Step-by-step explanation:
check picture :)
Looking for help here ill give brainliest!
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
First we figure out how fast Nina can run. If Nina can run 8 km in 55 minutes, then her rate is
and we can use that in a d = rt table:
d = r * t
Nina .145
Jo
Now we can fill in the distance which is 6 for both, since that is the distance where they met:
d = r * t
Nina 6 = .145
Jo 6 =
Now we go to the info given about the time. If Jo started the race 3 minutes after Nina, that means that Nina is running 3 minutes longer than Jo. Filling in the time info:
d = r * t
Nina 6 = .145 * t + 3
Jo 6 = r * t
As you can see, right now we have 2 unknowns in Jo's row. But we don't have to! We will go to Nina's row where the only unknown is time and solve for t. If d = rt, then
6 = .145(t + 3) and
6 = .145t + .435 and
5.55 = .145t so
t = 38.379 minutes. This means that Jo was running 38.379 minutes when she caught up to Nina (it took Nina 3 minutes longer than that to go 6 km since she was already running for 3 minutes when Jo started the race). If Jo's time is 38.379, we can use that in her row for t and solve for r. If d = rt, then
6 = r(38.379) and
r = .16 km/min
Let's check it without the rounding (rounding takes away from the accuracy). If 6 = .145(t + 3) and Nina's rate not rounded is .145454545 and t = 38.37931034, then, rewriting without rounding:
6 should equal .145454545( 38.37931034 + 3)
6 ?=? .145454545(41.37931034)
6 ?=? 6.0 so
Jo's rate is .16 km/min rounded
The cost of each option is given by the total amount required to obtain
the volume of water Janine drinks in a year.
Responses:
- The cheapest option is the <u>faucet-mounted water filter</u>
- The cheapest option saves her <u>$79.11 </u>over a year
Number of bottles of water Janine drinks in a day = 3 bottles
Volume of a bottle = 16.9 ounces
Volume of water Janine drinks in a year = 3 × 16.9 × 365 = 18505.5
Volume of water Janine drinks in a year = 18,505.5 ounces
Volume of water = 18,505.5 ounces = 547.273 liters
The cost of 24-packs of 16.9 ounces bottles = $3.29
Number of packs she will buy in a year is therefore;
Cost per year = 45.625 × $3.29 ≈ $150.11
The cost of a reusable bottle = $10
Cost of each option to filter 547.723 liters of water.
Total cost of a faucet mounted filter = $10 + $28 + $33 = $71.00
Total cost using the water filter = $10 + $22 + 2 × $20 = $72
The cost of using the under sink filter = $10 + $130 = $140
Therefore;
- The cheapest option over one year is the <u>faucet-mounted filter</u>
- The amount saved over one year = $150.11 - $71.0 = <u>$79.11</u>
Learn more about total cost here: