Answer: -2
Step-by-step explanation:
2(h -3.5) = -11 Distributive property
2h - 7 = -11. Add 7 to both sides
2h = -4. Divide both sides by 2
h = -2
Answer:
Head bands: 18.58 inches of fabric
Wrist bands : 8.51 inches of fabric
Step-by-step explanation:
Jillian is making accessories for the soccer team.
For head bands
She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches.
The total number of people = 39 player + 2 coaches = 41 people
Hence:
41 persons = 761.78 inches of fabric
1 person = x
Cross Multiply
41 × x = 761.78 × 1
x = 761.78/48
x = 18.58 inches
For wristbands
She also uses 331.89 inches of fabric on wristbands for just the players.
Number of players = 39 players
Hence:
39 players = 331.89 inches
1 players = x inches
Cross Multiply
39 × x = 1 × 331.89 inches
x = 331.89 inches/39
x = 8.51 inches
Therefore:
18.58 inches of fabric was used for head bands and 8.51 inches of fabrics was used for wristbands.
Answer:
Step-by-step explanation:
, 
, 
, Subtract 23 and 3x from both sides and simplify: 
, Divide both sides by 2 and simplify: 
<em>Hope this helps!!!</em>
Answer:
- 1) y = 13.5x + 1
- 2) y = 12x + 4
- 3) Sam won the race
Step-by-step explanation:
<h3>Part 1</h3>
Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.
<u>The distance after x seconds is:</u>
<h3>Part 2</h3>
Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.
<u>The distance after x seconds is:</u>
- y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4
<h3>Part 3</h3>
<u>After 15 seconds the distance from the start line is:</u>
- Sam ⇒ y = 13.5*15 + 1 = 203.5 ft
- Alice ⇒ y = 12*15 + 4 = 184 ft
As we see Sam is further from the start line than Alice
A graphing calculator is a great help for problems of this nature.
x ∈ {-5.63, -0.55, 2.59}
