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adoni [48]
3 years ago
12

A map has a scale of 4 inches: 25 miles how far are two cities if they are 120 miles apart

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

Answer: 19.2 inches

Step-by-step explanation:

Make a proportion:

4/25 = x/120

cross multiply

480 = 25x

Divide both sides by 25

X= 19.2

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
s2008m [1.1K]

Answer: 912

===================================

Work Shown:

The starting term is a1 = 3. The common difference is d = 5 (since we add 5 to each term to get the next term). The nth term formula is

an = a1+d(n-1)

an = 3+5(n-1)

an = 3+5n-5

an = 5n-2

Plug n = 19 into the formula to find the 19th term

an = 5n-2

a19 = 5*19-2

a19 = 95-2

a19 = 93

Add the first and nineteenth terms (a1 = 3 and a19 = 93) to get a1+a19 = 3+93 = 96

Multiply this by n/2 = 19/2 = 9.5 to get the final answer

96*9.5 = 912

I used the formula

Sn = (n/2)*(a1 + an)

where you add the first term (a1) to the nth term (an), then multiply by n/2

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

As a check, here are the 19 terms listed out and added up. We get 912 like expected.

3+8+13+18   +23+28+33+38    +43+48+53+58    +63+68+73+78   +83+88+93 = 912

There are 19 values being added up in that equation above. I used spaces to help group the values (groups of four; except the last group which is 3 values) so it's a bit more readable.

5 0
3 years ago
Read 2 more answers
What is ✓ 75 in simplified form?<br> O 5V5<br> 0 2573<br> O 3V 5<br> O 3V 25
faust18 [17]
It should be 5√3

Because 25 x 3 = 75

√25=5 so u bring that out and keep the 3 in because it’s a prime number

3 0
3 years ago
What is the solution to y=2/5x-3 and x=-10
Vanyuwa [196]

y is -2/53

Step-by-step explanation:

  • Step 1: Given equation is y = 2/5x-3 and x = -10. Substitute value of x to find the solution.

⇒ y = 2/(5 × -10 - 3) = 2/-53 = -2/53

4 0
3 years ago
11. Circle the name of the student who correctly wrote the equation modeled below. Then, find the
Svet_ta [14]

Answer:

the student that is correct is Gene and the solution is x=10

3 0
2 years ago
Fun question: Which Disney character is your favorite?
Vlada [557]

Answer:

Belle is my fav.

Step-by-step explanation:

She loves to read books like me and I hate people who always go out there and try to impress me with something.

5 0
3 years ago
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