Answer:
BC:BN=8:3
Step-by-step explanation:
ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.
Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD
But, BC= BN+NC
Therefore, BC:BN=(BN+NC):BN
⇒BC:BN=(3+5):3
⇒BC:BN=8:3
Answer:
840
Step-by-step explanation:
Since the order matters, we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
The first seat is Jose's.
The remaining four are organized among the other 7 members. So
So the correct answer is:
840
Answer:
The inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal can be given as:
Step-by-step explanation:
The complete question is:
Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.
Solution:
Given:
Darcie wants to crochet a minimum of 3 blankets to donate.
Rate at which she crochet = of a blanket per day.
Maximum number of days she has = 60.
To find the number of days Dancie can skip out of 60 days and still reach her goal.
Let represent the number of days she can skip.
Number of days left to crochet = days
At rate of of a blanket per day, number of blankets Dancie can corchet in
days can be given as :
⇒
Simplifying using distribution.
⇒
⇒
Dancie needs to crochet a minimum of 3 blankets to reach her goal.
Thus, the inequality can be given as:
Solving the inequality for
Subtracting 4 both sides.
Multiplying both sides by -15.
[On multiplying by a negative number the sign of inequality reverse]
∴
Thus, Dancie can skip a maximum of 15 days.