To get they total number of the fraction, you first times the bottom, by the number one the side of the mixed number, and then add the top number to the answer. so for the first one, 3*4 = 12 + 1 = 13 so the answer is 13/3, for the next one, 5*1 = 5 + 2 = 7, so the answer is 7/5, and for the last one, 3*3 = 9 + 2 = 11, so the answer is 11/3 so if your to lazy to read this the answers are 1. 13/3 2. 7/5 3. 11/3
x= 90° - 63° = 27° (NO perpendicular to AOB)
angle DOB = (90°+90°) -128° (angles on a straight line)
= 180° - 128°
= 52°
y= 180° - x - 63° - angle DOB (angles on a straight line)
=180° - 27° - 63° - 52°
= 38°
I'm not sure of the answer tho^^ good luck!
Answer:
The volume is 27 cubic cm.
Step-by-step explanation:
I'm not sure if it only wants you to find Equation 1 or go further and solve:
x = the number of 5c coins
y = the number of 10c coins
Equation 1: the total number of coins is 65
x + y = 65
total value of $3.80
0.05x + 0.1y = 3.8
<u>Simultaneous Equations</u>
Make one coefficient the same
10 * (0.05x + 0.1y = 3.80 = 0.5x + y = 38
x + y = 65
0.5x + y = 38
Subtract the equations
(x + y) - (0.5x + y)= 65 - 38
(x - 0.5x) + (y - y) = 65 - 38
0.5x = 27
x = 54
Substitute it into the original equation to find y.
x + y = 65
54 + y = 56
y = 65 - 54 = 11
Substitute it into the other equation to check it's right.
0.05x + 0.1y = 3.8
0.05(54) + 0.1(65) = 3.8
x = 54 5c coins
y = 11 10c coins
The car's speed in feets per second is 79.2, Hence, it will cover a distance of 158.4 feets in 2 seconds.
Car's speed in miles per hour = 54 miles per hour
Recall :
- 1 mile = 5280 feets
- 1 hour = 3600 seconds
Car's rate in feet per second
- 54 miles per hour = (54 × 5280 × 1/3600) feet per second = 79.2 feets per second.
- Distance in 2 seconds :
- Distance = speed × time
- Distance = 79.2 × 2 = 158.4 feets
Therefore, the car will cover a distance of 158.4 feets in 2 seconds.
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