Answer: She has 2 cups of paint.
Step-by-step explanation:
1 cup + 1 cup = 2 cups
Speed = distance/time
distance = speed * time
let x = time covered by running
15 = run distance + walk distance
15 = 9(x) + 3(3-x)
15 = 9x + 9 - 3x
15 - 9 = 6x
6 = 6x
x = 1 hour
Therefore:
Running distance = speed * time
RD = 9km/hr * 1 hr
RD = 9km
Answer:
First term = a = 125
Step-by-step explanation:
Question: find the number of shoppers on the first day
This is a geometric progression question
The sum of the terms = 671
Sum of a geometric sequence,Sn = (ar^n - 1) / (r - 1)
Where,
n = number of term in the sequence.
a = first term in the sequence.
r = common ratio
r = 1 + 20%
= 1 + 20/100
= 1 + 0.2
= 1.2
n = 4 (first 4 days)
Sn = (ar^n - 1) / (r - 1)
Sn = 671 where n = 4
671 = {a × 1.2^(4) - 1} / 1.2 - 1
671 = {a × 2.0736 - 1} / 0.2
671 = (2.0736a - a) / 0.2
671 = 1.0736a / 0.2
671 = 5.368a
Divide both sides by 5.368
a = 671 / 5.368
a = 125
Answer:
x = 10, y = 
Step-by-step explanation:
The opposite sides of a parallelogram are congruent.
For LMNO to be a parallelogram then
ON = LM and OL = NM, that is
ON = LM
7x - 6 = 6x + 4 ( subtract 6x from both sides )
x - 6 = 4 ( add 6 to both sides )
x = 10 , then
NM = x - 9 = 10 - 9 = 1 and
OL = NM , that is
3y - 3 = 1 ( add 3 to both sides )
3y = 4 ( divide both sides by 3 )
y =
