Answer:
x=12
Step-by-step explanation:
32=2(4+x)
distribute 2.
32=8+2x
subtract 8 from both sides.
32=8+2x
-8 -8
24=2x
divide by 2 on both sides
24/2=2x/2
12=x
-7x ≥ 56.
Divide both sides by -7, and the inequality sign reverses, because we are dividing by a negative number.
The sign also reverses when you multiply both sides of inequality by a negative number.
-7x/-7 ≤ 56/-7
x ≤ -8
The answer is the first option.
<span>{x | x ≤ -8}
</span>
This simply means x, such that x is less than or equal to -8.
I hope this helped.
Answer:
a(66) = -10 + 17(65) = 1095
Step-by-step explanation:
We know that this is an arithmetic sequence. Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17. Thus, the common difference, d, is 17. The first term is -10.
The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).
Substituting -10 for a(1) and 17 for d, we get:
a(n) = -10 + 17(n - 1)
Now let n = 66: a(66) = -10 + 17(66 - 1), or a(66) = -10 + 17(65) = 1095
There are 18 pages in Ramal's stamp album
To get this, use the equation : 1/6p = 3
P represents pages, so 6 * 3 is 18 pages.