Answer:
(3x+2y)(x+3y)
Step-by-step explanation:
First:
(3x²+ 2xy) + (9xy + 6y²)
then:
x(3x+2y) + 3y (3x+2y)
s0:
(3x+2y)(x+3y)
Ok since the athlete an equal distance of 2 days a week and he runs a total of 11 miles in 5 days you will need to think back so before he had 11 miles done next weak he had a total of 19 miles so you will start at 11 then count up to 19.
Use a number line to show how many days it took for the athlete to get 19 miles.
Then once you do the number line count the lumps and that’s how many days it took for the athlete to get 19 miles.
Hope this helped.
Answer:
5/2
Step-by-step explanation:
In order to make the fractions equivalent, you need to place the whole number INTO the fraction itself. By doing so, your answer will be 5/2
Hope this helps :)
Answer:
n = 60.22
Step-by-step explanation:
Hello
To find Sn, we need to draw out equations for each a₇ and a₁₉
In an arithmetic progression,
Sn = a + (n-1)d
Where Sn = sum of the A.P
a = first term
d = common difference
a₇ = 32
32 = a + (7-1)d
32 = a + 6d ........equation (i)
a₁₉ = 140
140 = a + (19-1)d
140 = a + 18d .........equation (ii)
Solve equation (i) and (ii) simultaneously
From equation (i)
32 = a + 6d
Make a the subject of formula
a = 32 - 6d .....equation (iii)
Put equation (iii) into equation (ii)
140 = (32 - 6d) + 18d
140 = 32 - 6d + 18d
Collect like terms
140 - 32 = 12d
12d = 108
d = 108 / 12
d = 9
Put d = 9 in equation (i)
32 = a + 6(9)
32 = a + 54
a = 32 - 54
a = -22
When Sn = 511
Sn = a + (n - 1)d
Substitute and solve for n
511 = -22 + (n-1) × 9
511 = -22 + 9n - 9
511 = -31 + 9n
511 + 31 = 9n
542 = 9n
n = 542 / 9
n = 60.22
