Answer:
Step-by-step explanation:
Let the first term is a and common difference is d.
<u>The nth term is:</u>
<u>We have:</u>
<u>The difference of these terms is:</u>
- (a + 8d) - (a + 5d) = 16 - 15
- 3d = 1
- d = 1/3
<u>Then the first term is:</u>
- a + 5*1/3 = 15
- a = 15 - 5/3 = 13 1/3
<u>The nth term equation is:</u>
- aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13
<u>If the nth term is 22, find n:</u>
- 1/3n + 13 = 22
- 1/3n = 22 - 13
- 1/3n = 9
- n = 9*3
- n = 27
Answer:
The total route is 8 kilometers.
Step-by-step explanation:
Let the distance of the total route be x
Marta has gone for a walk and has covered three quarters of the total route so far. This means that she has covered a distance of
3/4 × x = 3x/4 kilometers
she still has 2 kilometres to walk. This means that the total route or distance = the sum of the distance that she covered already and the distance she has remaining. Therefore,
x = 3x/4 + 2
x - 3x/4 = 2
(4x - 3x) / 4 = 2
Cross multiplying
4x - 3x = 4 × 2
x = 8
The total route is 8 kilometers.
Answer:Cross multiply and solve for x.
x/6 = 5/1.25
let the height of building be h ft
h/6 = 60/15
h = 6(60/15) = 24
the building is 24 ft high
Step-by-step explanation:
Well first let’s covert the ft to in- 5ft is 60 in and 6ft is 72 in. Then we want to set up 2 fractions based on height and shadow, so we have 60/15=x/72 (we put x because that’s what we’re trying to find). Then we do cross multiplication so now we have 15x=4320. We divide 15, so now we have 4320/15=288. So the building is 288 in tall or 24ft tall! Glad to help! :)
Answer: Airline P since the median is lower and the SDR is lower
Step-by-step explanation:
Answer:
a=±5
Step-by-step explanation:
25=5^2
Given that, x^2−10x+25=x^2−10x+5^2
Identity: a^2−2(ab)+b^2=(a-b)^2
Here, a=x and b=5
∴=(x−5)^2
Hope this helps
