Answer:
4:10 and 6:15 are equivalent to 2:5
The answer is 29.4 grams.
How to solve:
1. Convert $15 to quarters. You can do this by multiplying 15 by 4. You use 4 because 4 quarters equal to $1. This will equal to 60 quarters.
2. Multiply both 5.76 and 6.25 by 60 to find the weight of $15 in quarters for today and before 1965.
Today: 5.76 g x 60 = 345.6 grams
Before 1965: 6.25 g x 60 = 375 grams
3. Now that you have the weight of quarters for both time periods, subtract! 375 grams - 345.6 grams = 29.4 grams
Answer:
Step-by-step explanation:
Corresponding parts of congruent triangles are equal.
VT = SR
8x- 17 = 15 {Add 17 to both sides}
8x = 15 + 17
8x = 32 {divide both sides by 8}
x = 32/8
x = 4
Corresponding parts of congruent triangles are equal.
∠V = ∠S = 60°
∠W = ∠U = 90°
∠T = ∠R = 2y + 20
In Δ VUT,
∠V + ∠U + ∠T = 180 {Angle sum property of triangle}
60 + 90 + 2y + 20 = 180
2y + 170 = 180
2y = 180- 170
2y = 10
y = 10/2
y = 5
Answer:
Step-by-step explanation:
5x^2 +3 = 83 . . . . given
5x^2 = 80 . . . . . . .subtract 3
x^2 = 16 . . . . . . . . .divide by 5
x = ±√16 = ±4 . . . take the square root
The smaller value of x is -4; the larger value, +4.
Answer:
5:15 simplified as 1:3
Step-by-step explanation: