Answer:
see explanation
Step-by-step explanation:
The n th term of an arithmetic progression is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
= 12 and
= 22, then
a₁ + 5d = 12 → (1)
a₁ + 7d = 22 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 10 ( divide both sides by 2 )
d = 5
Substitute d = 5 into (1) to find a₁
a₁ + 5(5) = 12
a₁ + 25 = 12 ( subtract 25 from both sides )
a₁ = - 13
Thus
= - 13 + 5 = - 8
= - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term

Explanation
Step 1
the density of an object is given by:

Step 2
let

Step 3
replace,

I hope this helps you
Answer:
Completing the experiment a few more times and combining the results to the trails already done.
<h3>
Answer is the ratio 1000:193:61</h3>
Explanation
1 liter = 1000 mL
For every 1000 mL of water, we need 193 mL of sucrose and 61 mL of saline solution.
The ratio is therefore 1000:193:61
We cannot simplify this ratio any further because the GCF of those three terms is 1.
A quick way to see this is to look at how 1000 = (2*5)^3 has prime factors 2 and 5, but 2 nor 5 are factors of 193 and 61. So only 1 is a factor of all three values 1000, 193, 61
Answer:
The number line on the top right
Step-by-step explanation:
Her solution should be
2x - 14 ≤ 8
x ≤ 22
x ≤ 11
'x' is less than or equal to 11.