From 9 P.M. to 5 A.M. the temperature dropped 20°, making the rate over 8 hours, -2.5° Per Hour. By 5 A.M., the temperature is -5° since we had to do 15 - 20. From 5 AM to 5 P.M. is 12 hours so -2.5 x 12 = -30 making 30 how much the temperature dropped between 5 A.M. to 5 P.M. Finally, our last equation is -5 - 30 making -35 our answer.
Answer: 210
Explanation: To find the least common multiple for the integers 30 and 35, we start by making a factor tree for each of our integers.
So 30 is 10 · 3 and 10 is 5 · 2.
35 is 7 · 5.
Notice that our 5's match up as factors of each of our integers.
When finding the least common multiple, we simply multiply all of our factors together but since the 5's match up,
we only multiply by a 5 once.
So our least common multiple or LCM is
5 · the 2 that doesn't match up · the 3 that
doesn't match up · the 7 that doesn't match up.
So we have 5 · 2 · 3 · 7 or 210.
Work is shown below.
Answer:
5.3
Step-by-step explanation:
Use the right triangle altitude theorem.
KM/KN = KL/KN
12/8 = 8/KN
1.5 = 8/KN
1.5KN = 8
KN = 8/1.5
KN = 5 1/3
Answer: 5.3
Answer:42
Step-by-step explanation:
Answer:
See explanation below.
Step-by-step explanation:
First, obtain the percentage of sales tax for a sale. Say it is 5%.
Then, obtain the sale prices, for two items say they are: $25.00 and $15.00.
Add the amounts together to obtain the subtotal:
$25.00 + $15.00 = $40.00, is the subtotal.
Multiply the amount by the percentage:
$40.00 * 5% =
40 * .05 = $2.00, is the sales tax
Add the tax to the subtotal to obtain the total amount to pay:
$40.00 + $2.00 = $42.00, is the total amount to pay.
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