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Nina [5.8K]
3 years ago
11

If Jan jogged 7x - 12 miles and Julie jogged 35x - 60miles , how many times longer was Julie's travel distance than Jan's?

Mathematics
1 answer:
OLEGan [10]3 years ago
5 0

Answer:

Julie jogged five times further than Jan.

Step-by-step explanation:

We can find this solution just by dividing Julie's distance by Jan's:

\frac{35x - 60}{ 7x - 12} \\\\= \frac{5(7x - 12)}{ 7x - 12} \\\\= 5

So Julie jogged five times further.

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Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.
Naya [18.7K]
It's a geometric sequence.

4,-12,36,... \\ \\
a_1=4 \\
r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\
a_n=a_1 \times r^{n-1} \\
a_n=4 \times (-3)^{n-1} \\
a_n=4 \times (-3)^{-1} \times (-3)^n \\
a_n=4 \times (-\frac{1}{3}) \times (-3)^n \\
a_n=-\frac{4}{3}(-3)^n

It's the sum for term 4 through term 15.

 \boxed{ \sum\limits_{n=4}^{15} (\frac{4}{3}(-3)^n)}
8 0
3 years ago
Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)? ​
timofeeve [1]

Answer:

π/8 radians

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION

In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?

SOLUTION

✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.

Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)

Within the 1hour minutes, the hand can move with complete cycle of 2π radians

Then At time t= 45minutes

Angle through the circle at 45 minutes= 45/60 ×2π radians

= 3π/2 radians

And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians

For t=45 minutes

Then 1/12 × 2π ×45/60

= π/8 radians

Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.

5 0
3 years ago
Solve, 3x+18>7, is the question​
Lelu [443]

Answer:

I hope this helps

Step-by-step explanation:

give me braineast

3 0
2 years ago
Five times a number is the same as 30 more than 8 times the number.find the number
Goshia [24]

Answer:

hey here's your answer!☺️

since number = n

so, 5 times of number = 5×n = 5n

and , 30 more than 8 times the number = 8n + 30

so, According to the question,

equation formed :-

" 5n = 8n + 30 "

hope it is helpful ✌️!

6 0
3 years ago
Ann started reading at 4:00 p.m. And finished at 4:20 p.m. Through what fraction of a circle did the minute hand turn?
Basile [38]
20/12???....................

8 0
3 years ago
Read 2 more answers
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