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slamgirl [31]
3 years ago
11

Find the 73rd term of the arithmetic sequence 18, 30, 42, ...

Mathematics
1 answer:
Tju [1.3M]3 years ago
7 0

Answer:

882

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 18 and d = 30 - 18 = 12, thus

a_{73} = 18 + (72 × 12) = 18 + 864 = 882

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Divide 380 among A, B and C in such a way that B gets 30 more than A and C gets 20 more than B. ​
Readme [11.4K]

Answer:

A = 100 B = 130 C = 150

Step-by-step explanation:

Translated into a system of equations:

A+B+C = 380

B = A+30

C = B + 20

So we find B from the last one:

B = C-20

Plug it in the second one:

C-20 = A+30

A = C-50

Plug it in the first:

C-50 + C-20 + C = 380

3C - 70 = 380

3C = 450

C=150

A = C - 50 = 150 - 50 = 100

B = C - 20 = 150 - 20 = 130

6 0
3 years ago
Read 2 more answers
Chris runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?
Nataly_w [17]
You could either find how far Chris can run in 60 minutes, or write an equation of ratios:

    x            35 min
--------- = --------------
 6 mi          50 min

Solving for x:  50x = 210;     x = 4.2 miles (answer)
4 0
3 years ago
Pls help I’ll brainlest solve it like this
sergey [27]

\frac{3}{5} t = 6

t = 6 \div  \frac{3}{5}

t = 6 \times  \frac{5}{3}

t = 2 \times 5

t = 10

____________________________

\frac{1}{4} a =  \frac{14}{15}

a =  \frac{14}{15}  \div  \frac{1}{4}

a =  \frac{14}{15}  \times 4

a =  \frac{56}{15}

7 0
3 years ago
Read 2 more answers
Quares and Differences of Squares
Otrada [13]

Answer:

hi

Step-by-step explanation:

hi

5 0
3 years ago
Annie traveled 5 times the sum of the number of hours Brian traveled and 2. together they traveled 20 hours. find the number of
kari74 [83]
Well There isn't enough evidence to tell how many hours each of them worked. Yu stated how long they each traveled separately but did not state the amount of hours worked, or any proof for it.

But Assuming that by worked you mean traveled.
Annie traveled 5 times the sum of the number of hours Brian traveled and 2. together they traveled 20 hours. find the number of hours each person worked.So 20 is 6 times the number of hours Annie & Brian Worked + 10
(From the 10 extra hours Annie worked from +2)
10/6=1 hour and 40 min
So Brain worked/traveled for 1 hour and 40 minuets. 
Then we find Annie's time. Add 2 hours to 1 hour and 40 and you get
3 hours 40 times that by 5 and you get 18 hours and 20 min
So Annie worked/traveled for 18 hours and 20 min
I hope this helped
4 0
3 years ago
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