The algebraic equation used to answer this question is:
3d + 4(1/2d) = 56.5
This is because he ran d, the distance, three times that week. For the rest of the four days, he ran 1/2 the distance, or half d.
To find the answer, you first distribute:
3d + 2d = 56.5
Add like terms:
5d = 56.5
Divide both side by 5:
5d/5 = 56.5/5
d = 11.3
On the first three days, Luke jogged 11.3 miles. On the remaining days, where he jogged 1/2d, Luke jogged 5.65 miles.
Hope this helps!
Which one is the length, height, and width? After you that then multiple and you should have your answer. Hope this helps!
Answer: 64,000
Step-by-step explanation:
3500 is the 5% left, so 1% is 640640 times 100% = 64,000 which is already to the nearest thousand
Answer: y = 0.5x - 2
Step-by-step explanation: 0.5x = half of a number X
Answer:
Step-by-step explanation:
<u>Geometric Sequences</u>
There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.
In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
112, -28, 7, ...
It's easy to find out this is a geometric sequence because the signs of the terms are alternating. If it was an arithmetic sequence, the third term should be negative like the second term.
Let's find the common ratio by dividing each term by the previous term:
Testing with the third term:
Now we're sure it's a geometric sequence with r=-1/4, we use the general equation for the nth term: