Answer:
D
Step-by-step explanation:
using the definition of n =
where n! = n(n- 1)(n - 2)......× 3 × 2 × 1
here n = 7 and r = 4, hence
7
=
= ← cancel 3 × 2 × 1 leaving
7 = 7 × 6 × 5 × 4 = 840 → D
James works as a tutor and a lawn mower. Both jobs require that he work at least three hours per week. Since James attends schoo
l, he can only work 15 hours a week. If James is paid $20 per hour as a tutor and $10 per hour as a lawn mower, which of the following is true about the number of hours he can work as a tutor (t) and lawn mower (m)?
1 answer:
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We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.
The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is inches.
Now we need to convert 63 inches into feet.
12 inches = 1 feet
63 inches = feet = 5.25 feet.
We are also told that Maria has foot of trim left, so total length of trim would be trim used plus trim left that is
feet.
Since we need to find length of trim in yards, so we will convert 6 feet into yards.
3 feet = 1 yard
6 feet = yards = 2 yards
Therefore, the length of the trim was 2 yards.
Let x be the number in the problem. When it states that x is "no more than -10", it means than it is less than or equal to -10. So, we have
x≤-10
In order to cancel out the on the left and isolate x, we multiply both sides by 
(since 
·=1). Thus, we have
x≤-10·=-15
Therefore, x≤-15
In order to cancel out the
x≤-10·
Therefore, x≤-15