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Aleonysh [2.5K]
3 years ago
7

On a map, Sacramento is 8 cm from San Francisco. This represents an actual distance of 91 miles. On the same map, Sacramento is

7 cm away from Modesto. What is the actual distance in miles from Sacramento to Modesto
Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

Answer:

Sacramento is 8cm from San Francisco.

8cm in map = 91 miles

91/8 = 11.375

1cm in map = 11.375 miles

Sacramento is 7 cm away from Modesto.

7 · 11.375 = 79.625

The actual distance is 79.625 miles

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Write a rule for the nth term of the sequence.
Helga [31]

Answer:

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

Step-by-step explanation:

Given sequence is:

-11, 5, 21, 37, 53, ...

Here

a_1 = -11\\a_2 = 5\\a_3 = 21\\a_4 = 37

First of all, we have to find if this is an arithmetic sequence

For that purpose, the common difference has to be found. Common difference, denoted by d, is the difference between consecutive terms of an arithmetic sequence

So,

d = a_2 -a_1 = 5-(-11) = 5+11 = 16\\d = a_3 -a_2 = 21-5 = 16\\d = a_4-a_3 = 37-21 = 16

As the common difference is same, the sequence is an arithmetic sequence

General rule for arithmetic sequence is:

a_n = a_1+(n-1)d

Putting values

a_n = -11+(n-1)(16)\\a_n = -11+16n-16\\a_n = -27+16n

For 100th term,

Putting n=100

a_{100} = -27+16(100)\\a_{100} = -27+1600 = 1573

Hence,

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

6 0
3 years ago
-p + 4p = 6 prob the last one for now i think
Irina-Kira [14]

Answer:

p = 2

Step-by-step explanation:

First, simplify:

3p = 6

Then, divide 3 on both sides:

p = 2

Hope this helps ^^

8 0
3 years ago
Read 2 more answers
Can someone please help.<br><br> what is<br><br> 2L+Z+N+H-Z=
Strike441 [17]
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8 0
3 years ago
The sum of two numbers is 25. Their difference is 9. What are the two numbers?
Lynna [10]
Using x and y as the numbers

x+y=25 -------#1
x-y=9  -------#2

Using addition of #1 and #2
x+y+x-y= 25+9
2x+0y=34
2x=34
x=17

Using the value of x and plugging said value into #1 or #2, we can find y
x=17

x+y=25
17+y=25
y=8

OR

x-y=9
17-y=9
-y=-8
y=8

The numbers are 8 and 17
5 0
3 years ago
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What’s the answer ??
CaHeK987 [17]

Answer:

The answer is A.

Step-by-step explanation:


5 0
3 years ago
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