The answer is c. y ≤-3x+3
Answer:
The Highest common factor of 120,140,180 is ( HCF) = 20
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given numbers 120,140,180
120 = 60 × 2
= 30 × 2× 2
= 15 × 2×2×2
= 5×3× 2×2×2
140 = 70 × 2
= 10 × 7× 2
= 5× 2× 7× 2
180 = 90 × 2
= 30×3×2
= 5 × 6 × 3× 2
= 5 × 2× 3× 2 × 3
The Highest common factor of 120,140,180 is 5 ×2×2 = 20
We are to solve for the 89 term of the Arithmetic equation given below:
An = 20/3 + 1/3 (n-1)
Replacing n with 89, we have:
An = 20/3 + 1/3 (89-1)
An =20/3 + 1/3 (88)
An = 20/3 +88/3
An =108/3
An = 36
The 89th term is 36.
Answer:
The field is 100 yards wide.
Step-by-step explanation:
Given that the relationship between the length and width of the rectangular field is 3 to 2, and that said field is 150 yards long, the following calculation must be performed to determine its width:
((150/3) x 2) = X
50 x 2 = X
100 = X
Thus, the common largest divisor between both numbers is obtained, and the relationship from 3 to 2 is established based on said number. Therefore, the rectangular field is 100 yards wide by 150 yards long.
7(t-4)-2t=4(t-3)
multiply 7 and 4 by all in parentheses
(7*t) + (7*-4) - 2t= (4*t) + (4*-3)
7t -28 - 2t= 4t - 12
combine like factors
5t - 28= 4t - 12
add 28 to both sides
5t= 4t + 16
subtract 4t from both sides
t= 16
CHECK:
7(t-4)-2t=4(t-3)
7(16-4) - 2(16)= 4(16-3)
7(12) - 32= 4(13)
84 - 32= 52
52= 52
ANSWER: t= 16
Hope this helps! :)
