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aksik [14]
3 years ago
13

The temperature at 3 a.m. was 3 1/2 degrees Fahrenheit. For the next 7 hours, the

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Answer:

The equation 7(-1 1/2) = -10 1/2 means that the temperature change from 3 a.m. to  10 a.m. was -10 1/2 degrees

Step-by-step explanation:

Initially, the temperature was 3 1/2 degrees Fahrenheit at 3 a.m. From 3 a.m., the temperature change at 1 1/2 degrees per hour for the next 7 hours. This means that the temperature change in the next 7 hours is:

Temperature change = 7(-1 1/2) = -10 1/2

In the next 7 hours from 3 a.m. to 10 a.m., that is at 10 a.m. (3 a.m. + 7 hours), the temperature change was -10 1/2 degrees Fahrenheit.

Hence:

The equation 7(-1 1/2) = -10 1/2 means that the temperature change from 3 a.m. to  10 a.m. was -10 1/2 degrees

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Answer:

(0, 2)

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3 years ago
The mean of the heights of three buildings A,B and C is 14.2m. The mean of the heights of five buildings A,B,C, D and E is 14.8m
Jobisdone [24]
<h3>Answer:  15.7 meters</h3>

========================================================

Work Shown:

s = sum of the heights of buildings A,B,C

s/3 = mean of the heights of buildings A,B,C

s/3 = 14.2

s = 3*14.2

s = 42.6

The buildings A,B,C have their heights add up to 42.6

--------------

r = sum of the heights of buildings A,B,C,D,E

r/5 = mean of the heights of buildings A,B,C,D,E

r/5 = 14.8

r = 5*14.8

r = 74

--------------

r-s = (sum of heights of A,B,C,D,E)-(sum of heights of A,B,C)

r-s = sum of the heights of buildings D and E

r-s = 74-42.6

r-s = 31.4

(r-s)/2 = mean height of buildings D and E

(r-s)/2 = 31.4/2

(r-s)/2 = 15.7 meters is the average height of buildings D and E.

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2 years ago
There are 15 students going on a field trip. If 3/5 of them pack their lunches, how many students pack their lunches?
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3/5 × 15= 9
therefore 9 students packed lunch

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6 0
3 years ago
Decrease £220 by 15%
sasho [114]

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3 years ago
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Write a paragraph proof of the Triangle Angle Sum Theorem using the following figure. A line should pass through F as part of th
BabaBlast [244]

Answer:

Step-by-step explanation:

To prove the triangle angle sum theorem,

We will do a construction by drawing a line PQ passing through point F and parallel to line DE.

                Statements                              Reasons

1). ∠PFD + ∠QFD = 180°                     1). linear pair postulate

2). ∠QFD = ∠QFE + ∠EFD                 2). Angle addition postulate

3). ∠PFD + ∠QFE + ∠EFD = 180°       3). Substitution property

4). ∠PFD ≅ ∠FDE                               4). Alternate interior angles

    ∠QFE ≅ ∠DEF                                

5). ∠FDE + ∠DEF + ∠EFD = 180°       5). Substitution property

Hence sum of interior angles of ΔDEF is 180°.

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3 years ago
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