Answer: See below
Explanation:
3x - 4y = 13 (1)
2x + y = 5 (2)
——————
3x - 4y = 13
4(2x + y = 5) (2) times 4
——————-
3x - 4y = 13
8x + 4y = 20
——————-
11x = 33
x = 33/11
x = 3
Plug x = 3 in (2):
2(3) + y = 5
6 + y = 5
y = 5-6
y = -1
Thus, x = 3 and y = -1
We have
that
Cost
use of a backhoe----------------------$300 an hour
<span> Estimate for equipment rental each week---------------------$18,400</span>
Total
hours operator per week--------------------------------------40
<span> 40*300</span>=$12000---------------------it
is the cost per week to use a backhoe
$12000<$18400 is ok
<span> The maximum of hours that I can rent </span>a backhoe <span> are 40 hours, since it is the limit of the
operator and it do not overcome the total budget </span>
29 ÷ 12 = 2.41667
Your answer is 2.4 feet
Answer: n = 130
Step-by-step explanation:
The sequence is an Arithmetic progression ( AP )
The last term of the sequence is (L) is 394 with the formula
L = a + ( n- 1 )d . From the sequence, a = 7, d ( common difference ) = 3 and L ( last term ) = 394, and n = ?
Put those values in the formula above and solve for n.
a + ( n - 1 )d = L
7 + ( n - 1 ) x 3 = 394
7 + 3n - 3 = 394
4 + 3n = 394
3n = 394 - 4
3n = 390
n = 130