Answer:
y=-5/3x-2
Step-by-step explanation:
Answer:
Log x = 3 is the same as Log into base 10 of 3
Recall from Law of Logarithm: if Log a = x , then a = 10^ x
therefore If Log x = 3 , then x = 10^3 = 1000
Step-by-step explanation:
Answer:
41°
Step-by-step explanation:
Sum of angle measures in a triangle: 180°
So,
108 + x + 5 + x - 5 = 180
Simplify.
2x + 108 = 180
Subtract 108 from both sides.
2x = 72
x = 36
Substitute x = 36 into (x + 5)
m∠A = 36 + 5 = 41
Thus, the answer is 41°
Answer:
Cost of bolts = x = $0.3
Cost of washers = y = $0.167
Step-by-step explanation:
Let us represent:
Cost of bolts = x
Cost of washers = y
Luke buys 4 bolts and 6 washers for $2.20
Hence:
4x + 6y = 2.20....Equation 1
Holly spends $1.80 on 3 bolts and 5 washers at the same local hardware store.
3x + 5y = 1.80....Equation 2
Combining both Equations
4x + 6y = 2.20....Equation 1
3x + 5y = 1.80....Equation 2
Multiply Equation 1 by 3 and Equation 2 by 4 to eliminate x
12x + 18x = 6.6.....Equation 4
12x + 20x = 7.2.......Equation 5
Substract Equation 4 from 5
= 2x = 0.6
x = 0.6/2
x = $0.3
Solving for y
4x + 6y = 2.20....Equation 1
4 × 0.3 + 6y = 2.2
1.2 + 6y = 2.2
6y = 2.2 - 1.2
6y = 1.0
y = 1.0/6
y = $0.167
Cost of bolts = x = $0.3
Cost of washers = y = $0.167
Acceleration = change in velocity / time
a: acceleration
Vf: final velocity
Vi: initial velocity
t: time
a = (Vf - Vi) / t
a = (3.3 - 0) / 15
a = 0.22 m/s^2
