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den301095 [7]
3 years ago
8

How to do this because I do not understand how to do it

Mathematics
1 answer:
mel-nik [20]3 years ago
5 0
Answer: 24.52%

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

Work Shown:

Convert the time 7:45, which represents 7 min 45 sec, to seconds only
7:45 = (7 min) + (45 sec)
7:45 = (7*60 sec) + (45 sec)
7:45 = (420 sec) + (45 sec)
7:45 = (420+45) sec
7:45 = 465 sec

Do the same for 5:51
5:51 = (5 min) + (51 sec)
5:51 = (5*60 sec) + (51 sec)
5:51 = (300 sec) + (51 sec)
5:51 = (300+51) sec
5:51 = 351 sec

So the initial time is 465 seconds and it drops to 351 seconds
Subtract the values to find the amount dropped: 465-351 = 114

Divide that difference over the initial time: 114/465 = 0.24516

Move the decimal over 2 spots to the right to convert to a percentage: 0.24516 --> 24.516%

Then round to the nearest hundredth of a percent (2 decimal places) to go from 24.516% to 24.52% which is our final answer

So the reduction is roughly 24.52%
This means if you took 24.52% of the initial time and subtracted it off, then you'd get to about 351 seconds.

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If the sum of a number and eight is doubled, the result is three less than the number. Find the number.
nydimaria [60]

Answer:

n = -19

Step-by-step explanation:

2(n+8) = n - 3

2n + 16 = n - 3

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n = - 19

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How will the volume of a cube change if its edge becomes twice as long; 3 times as long; 10 times as long; n times as long?
Mumz [18]

Let, initial side is a.

When side is n times long, new side na.

Initial volume, V_i=a^3

Final volume, V_f=(na)^3=n^3a^3

Change in volume, V_f-V_i=\Delta V =a^3(n^3-1)

For, n = 2 :

\Delta V = 7a^3

n = 3 :

\Delta V = 26a^3

n = 10 :

\Delta V = 999a^3

Hence, this is the required solution.

8 0
3 years ago
Look at the parallelogram ABCD shown below: The table below shows the steps to prove that if the quadrilateral ABCD is a paralle
riadik2000 [5.3K]

Answer:

The correct option is 1.

Step-by-step explanation:

Statement                                          Reasons

1.   AB is parallel to DC and         Definition of parallelogram

    AD is parallel to BC

2.   angle 1 = angle 2,                   If two parallel lines are cut by a

    angle 3 = angle 4                    transversal then the alternate

                                                      interior angles are congruent

3.    BD = BD                                   Reflexive Property

4.    \triangle ADB\cong \triangle CBD                 ASA postulate

5.   AB = DC, AD = BC                  (CPCTC)

If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate.

According to alternate interior angles theorem, two parallel lines are cut by a transversal then the alternate interior angles are congruent.

Therefore option 1 is correct.

8 0
3 years ago
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