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Bond [772]
3 years ago
13

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write and solve an equa

tion to find the answer. From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was − 20 ° C. What was the temperature at midnight?
Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

The temperature at midnight is -12 degree Celsius

Step-by-step explanation:

Given -

Temperature at 6:00 PM = -20 degree Celsius

Let the temperature at midnight be X degree Celsius

From midnight to 6:00 am, the temperature rose by 8 degree Celsius

X - (-20) = 8

X = 8-20

X = -12 degree Celsius.

The temperature at midnight is -12 degree Celsius.

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Please answer the problem and show your work.Thank you.
Vinvika [58]

Answer:

8. m=6

9.  x=2; Alyssa is incorrect because she subtracted 8 from 16 when in reality she should have divided 16 by 8 to get 2. The real solution is 2 because 8 times 2 is equal to 16.

Step-by-step explanation:

Question 8:

2m-6=m

-2m    -2m     (subtract 2m from both sides)

<u>-6</u>=<u>-m</u>  

-       -     (divide both sides by the negative)

m=6

Question 9:

<u>8x</u>=<u>16  </u>              (divide both sides of the equation by 8)

8     8

x=2

8 0
1 year ago
Read 2 more answers
A lighthouse keeper has a 10 degrees angle of depression between the horizontal light beam and the line of sight from the ship.
Andrei [34K]
107.75m
This is a trigonometric ratio problem. the angle of depression (10) is opposite the height (19m) and the distance is adjacent to the distance (x). opposite ad adjacent sides to the angle is a tangent problem.
tan \theta = \frac{opp}{adj}
plus in values, we know.
tan (10) = \frac{19}{x}
switch tan(10) and x using the products property.
x = \frac{19}{tan (10)}
plug in to calulator to get answer
x=107.75

4 0
3 years ago
Two buses leave a station at the same time and travel in opposite directions. One bus travels 15 /kmh faster than the other. If
Nat2105 [25]
Since the buses travel in opposite directions, the speed at which they distance themselves is the sum of their speeds.
One bus travels at speed s.
The other bus travels at speed s + 15.
The sum of the speeds is s + s + 15 = 2s + 15

speed = distance/time

distance = speed * time

366 = (2s + 15) * 2

183 = 2s + 15

168 = 2s

s = 84

The slower bus travels at 84 km/h.

s + 15 = 84 + 15 = 99

The faster bus travels at 99 km/h.

Check:
In 2 hours, the slower bus travels 2 * 84 km = 168 km
In 2 hours, the faster bus travels 2 * 99 km = 198 km
In 2 hours, the buses are 198 km + 168 km = 366 km apart.
Our answer is correct.
6 0
3 years ago
Which best describes the clusters in the data set? Number of Fish in Each Tank at the Pet Store A dot plot going from 10 to 15.
melamori03 [73]

Answer:

Answer is D

Step-by-step explanation:

I took the test and it is right because there are 2 chunks of dots in two spots

8 0
3 years ago
Read 2 more answers
Pedro is saving part of his allowance to buy a gift for his teacher. At the end of 10 weeks he has saved $95.50 . Pedro saved th
aev [14]

Answer:

Pedro saves $9.55 each week.

4 0
3 years ago
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