Givens
Let the total number of Candies = T
1/4 T = chocolates
1/6 T = gummy bears
1/3T = peppermints
9 = Licorice Sticks.
Equation
1/4 T + 1/6T + 1/3 T + 9 = T
Solve
The Lowest common denominator on the left side is
4 = 2*2
6 = 2*3
3 = 3
LCM = one 3 two 2s
LCM = 3*2*2
LCM = 12
Change the fractions to 12ths.
3/12 T + 2/12 T + 4/12 T + 9 = T
(3 + 2 + 4)*T/12 + 9 = T
9/12 T + 9 = T Subtract 9/12 T from both sides.
9 = T - 9/12 T
9 = 3/12 T
9 = 1/4 T Multiply both sides by 4
T = 36
1/3 T = Peppermints
1/3 * 36 = Peppermints.
12 = Peppermints.
1/4 T = chocolates
1/4 36 = chocolates
9 = chocolates.
Answer
Product 12 * 9 = 108 <<<<<<< Answer
The product of chocolates and Peppermints = 108
Answer:
2/3p - 3/4 = 2/10
2/3p = 38/40
p = 57/40 = 1 17/40
Step-by-step explanation:
Answer: Answer is B hope this helps
Step-by-step explanation:
Answer:
D. (2, 6)
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations by graphing
Step-by-step explanation:
The solution set of the systems would be where the 2 lines intersect. We see from the graph that our 2 lines intersect at (2, 6). Therefore, our solution set would be D. (2, 6).
Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
=
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
=
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
