Answer:
We must have less than 10 guests
Step-by-step explanation:
Location 1
cost = 100h+20p where h = hours and p = person
Location 2
cost = 600 for p < 25
Since there are less than 25 guests and h = 4 both equations are valid
Location 1
cost = 100(4)+20p = 400+20p
Location 2
cost = 600
We want location 2 to be less expensive
600< 400+20p
Subtract 400 from each side
600-400 < 20p
200 <20p
Divide by 20
200/20 < 20p/20
10 <p
We must have less than 10 guests
Easy,
write the coordinates out in pairs:
x= hours
y= earnings
(1,10)
(2,20)
(3,30)
(4,40)
(5,50)
Now it makes it much easier to see the increase,
After 1 hour of working she has made $10
After 2 hours of working she has made $20
<span>After 3 hours of working she has made $30
</span>
And so on,
that being said it's easily seen that she is getting paid $10
Thus the unit rate is $10.
Answer:
10th term is 10
Step-by-step explanation:
The nth term for finding the geometric progression is expressed as;
Tn = ar^n-1
a is the first term
r is the common ratio
n is the number of terms
a11 = ar^11-1
a11 = ar^10
Since a11 = -5 and r = -1/2
-5 = a(-1/2)^10
-5 = a(1/1024)
a= 1024 * -5
a = -5120
Nest is to get the 10th terms
a10 = ar^9
a10 = -5120 * (-1/2)^9
a10 = -5120 * -1/512
a10 = 10
Hence the 10th term of the sequence is 10
Answer:
D) AD=21
Step-by-step explanation:
QD=1/2 AQ
QD=1/2(14)
QD=7
AQ+QD=AD
AD=14+7
AD=21
She needs 45 more sticks of butter. This is because she already has two cakes, and 47-2=45. She can bake one more cake with each stick of butter, which means the answer is indeed 45.
