Answer: 2/5 chance
Step-by-step explanation: Since there are 5 marbles and 3 aren't yellow, you have a 2/5 chance to choose the other two yellow marbles
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Answer: Choice A</h3>
Arrow from 0 to -8 (pointing left). Another arrow from -8 to -6 (pointing right)
See diagram below
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Explanation:
Let's think of this in terms of money. Writing -8 means we are 8 dollars in debt. Since -8 is listed first, this means we start at 0 and go 8 units to the left along the number line, to land on -8.
Then we'll go 2 units to the right to land ultimately at -6. This is because of the "-(-2)" portion, which is the same as "+2". Subtracting a negative is the same as adding. The two negatives cancel each other out.
Going back to the money example, if we have a balance of -8 (we're 8 dollars in debt) and taking away 2 IOU notes means we're 6 dollars in debt. Subtracting a negative can be thought of as taking away debt.
Side note: If we had -8-2, then we would go 2 units to the left of -8 to land on -10 instead.
Answer:
12 discs
Step-by-step explanation:
Sheet metal has dimensions of 56 cm by 33 cm. This indicates that it is a rectangle.
A_rectangle = length × width
A_rect = 56 × 33
A_rect = 1848 cm²
It is now melt down and recast into disc's of 7 cm radius and similar thickness.
Thus;
Area of one disc = πr² = π × 7² = 49π
Thus,number of disc's cast = 1848/49π
number of disc's cast = 12
Answer:
Jogging 6th time.
Step-by-step explanation:
We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.
We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.
We know that an arithmetic sequence is in form , where,
= nth term of sequence,
= 1st term of sequence,
n = Number of terms in sequence,
d = Common difference.
Let us find common difference of our given sequence as:
Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.
Let us solve for n.
We can also write next terms of our sequence as:
Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.
Given:
x = beginning number of newspapers
24 = sold in the morning
(x - 24) * 2/7 = sold in the afternoon
x * 1/2 = remaining newspapers
5/7 of the remaining newspaper is equal to 1/2 of the original number.
(x - 24) * 5/7 = 1/2 * x
5x/7 - 120/7 = x/2
5x/7 * 2/2 - 120/7 * 2/2 = x/2 * 7/7
10x/14 - 240/14 = 7x/14
10x/14 - 7x/14 = 240/14
3x/14 = 240/14
14 * 3x/14 = 14 * 240/14
3x = 240
x = 240/3
x = 80
80 - 24 = 56 remaining newspaper in the morning
56 * 2/7 = 16 sold in the afternoon
80 - 24 - 16 = 80/2
40 = 40 remaining newspaper for the day.