Answer:
See below. The series converges.
Step-by-step explanation:
Answer is 432 cans in total
18 packs times 24 cans in each is 432
Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
Since A (3,4) A’(9,12)
You can see 3*3=9
Therefor it was enlarged by 3times
Scale factor of 3
Answer:
The answer is
<h2>(9x - 4)(4x + 3)</h2>
Step-by-step explanation:
36x² + 11x - 12
To factor the expression rewrite 11x as a difference
That's
36x² + 27x - 16x - 12
<u>Factor out 9x from the expression</u>
9x( 4x + 3) - 16x - 12
<u>Factor out - 4 from the expression</u>
9x( 4x + 3) - 4( 4x + 3)
Factor out 4x + 3 from the expression
We have the final answer as
<h3>(9x - 4)(4x + 3)</h3>
Hope this helps you