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Lynna [10]
3 years ago
15

Mr. brown drove from his home to his school at the rate of 25 mph and returned by a different route at the rate of 30 mph. the r

oute by which he returned was 5 miles longer than the route by which he went. the return trip took 10 minutes less than the trip out. Find the distance Mr. brown traveled each way.
Mathematics
1 answer:
N76 [4]3 years ago
4 0

Answer:The route from the home to the school is 50

miles long.  The route back is 55 miles

miles long.

Step-by-step explanation:

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Answer:

See attached

I got an answer of 125.2411251548

or to the nearest tenth 125.2

Step-by-step explanation:

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The sum of the finite arithmetic series of <span> 26 + 29 + 32 + 35 + 38 + 41 + 44 is 245. Arithmetic series is a sequence of number such that the difference between any term and the previous term is a constant number. When we sum a finite number of terms in the arithmetic series, we get the finite arithmetic series. </span>
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4 years ago
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Complete the proof by providing the missing statement and reasons
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Answer:

In triangle SHD and triangle STD.

\overline{SD} \perp \overline{HT}          [Side]

Since, a line is said to be perpendicular to another line if the two lines intersect at a right angle.

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\overline{SH} \cong \overline{ST}       [leg]               [Given]

Reflexive property states that the value is equal to itself.

\overline{SD} \cong \overline{SD}       [Leg]       [Reflexive property]

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Answer:

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Step-by-step explanation:

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Four times the sum of three consecutive odd integers is seven hundred sixty-five less than three times the product of the larger
Andre45 [30]

Answer:

The consecutive odd integers are (15, 17, 19) or (-17, -15, -13).

Step-by-step explanation:

Let the three consecutive odd integers be: x-2,x\ and \ x+2

The condition given is:

4[x-2+x+x+2]=3x(x+2)-765

Solve this for <em>x</em> as follows:

4[x-2+x+x+2]=3x(x+2)-765\\4\times 3x=3x^{2}+6x-765\\3x^{2}-6x-765=0\\x^{2}-2x-255=0\\x^{2}-17x+15x-255=0\\x(x-17)+15(x-17)=0\\(x-17)(x+15)=0

  • If (x-17)=0 then the value of <em>x</em> is 17.

       The odd numbers are:

          x-2=17-2=15\\x=17\\x+2=17+2=19

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       The odd numbers are:

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Thus, the consecutive odd integers are (15, 17, 19) or (-17, -15, -13).

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