Answer:
3.41 feet
Step-by-step explanation:
Area = Length × Breath
Area of the rectangular lawn = 100 × 50
= 5000 feet²
The sidewalk must occupy an area no more than 10% of the total lawn area.
So, the area of the sidewalk would be not more than = 10% × 5000
= 0.10 × 5000
= 500 feet²
Let the width of the sidewalk = x feet
area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)
(100 × x) + ((50 - x) × x) < 500
100x + (50-x)(x) < 500
-x² + 150x < 500
-x² + 150x = 500
-x² + 150x - 500 = 0
By using quadratic formula
or 
x = 3.41089 ≈ 3.41 feet or x = 146.58
Therefore, width of the sidewalk would be 3.41 feet.
He could have scored 7, 14, 21, 28, 35, or 42 points (all multiples of 7 less than 45).
answer: B
Answer:
Step-by-step explanation:
Use the given functions to set up and simplify
8
x
−
20
y
−
10
8
x
-
20
y
-
10
.
v
−
20
+
5
p
−
7
z
=
5
p
+
v
−
7
z
−
20
v
-
20
+
5
p
-
7
z
=
5
p
+
v
-
7
z
-
20
8
x
−
20
y
−
10
=
5
p
+
v
−
7
z
−
20
A. (For Claire’s gross income) is 3,725.
B. (For Tina’s net income) is 2,100.
D. (For Jie’s net income) is 48.6, or 243/5.
Answer:
2/13
Step-by-step explanation:
In a deck of 52 cards, there are 2 sets of red cards. Diamonds and Hearts. In each set of red cards, there are 4 fives. If there are 2 sets, that means that there are 8 red fives in the deck of 52 cards. This means that the probability is 8/52 which is simplified into 2/13.
