Answer:
-2x-2y=-8
-4x-8y=-20
From the 1st eqn
Dividing through by 2
you have
-x-y=-4
Multiply through by -(minus)
x+y=4
x=4-y
Substitute into eqn 2
-4x-8y=-20
-4(4-y)-8y=-20
-16 + 4y - 8y = -20
-4y = -20 +16
-4y = -4
y= 1
Substitute into any of the other eqn's to get x
x= 4-y
x= 4-1
x=3
First, find the difference between each number in the sequence.... 34 - 25 = 9. 25 - 16 = 9 and 16 - 7 = 9... So, there is a constant difference of 9 between each number of the sequence. To find the 30th term, you could expand the sequence out to 30 (which is a good way to check your answer, but tedious)... So, simply add the 1st value of the sequence to the difference and multiply by 30 to find your 30th value.... 7 + 9 x 30 = 16 x 30 = 480.
Therefore, the 30th term is 480.
The book case can hold a total of 240 books if it can hold 30 books on each shelf
it will be 14 more minuted because she has completed 5/19 minutes it takes to reach the beach.. we can get this answer by taking the total number of minuted to get to the beach (19) and subtract the number of minutes she has already walked (5)..... our answer is that she has 14 minutes left till she reaches the beach.
The borders are shown in the picture attached.
As you can see, starting with border 1, we have 6 daises (white squares) surrounded by 10 tulips (colored squares). Through Jerry's expression we expected:
<span>8(b − 1) + 10 =
</span>8(1 − 1) + 10 =
0 + 10 =
10 tulips.
When considering border 2, we expect:
<span>8(b − 1) + 10 =
</span>8(2 − 1) + 10 =
8 + 10 =
<span>18 tulips.
Indeed, we have the 10 tulips from border 1 and 8 additional tulips, for a total of 18 tulips.
Then, consider border 3, we expect:
</span><span>8(b − 1) + 10 =
</span>8(3 − 1) + 10 =
16 + 10 =
26<span> tulips.
Again, this is correct: we have the 10 tulips used in border 1 plus other 16 tulips, for a total of 26.
Therefore, Jerry's expression is
correct.</span>