Answer:
the answer is 2.9 x 10^0 and 3.2 x 10^-2
Step-by-step explanation:
10^0 is equal to 1 so 2.9 x 10^0 is really 2.9 times 1 which is less than 3
if i could get brainliest answer that would be great!
10^-2 is a exponential that makes a number go down so 3.2 going down is less than 3
1134.11
This should be the answer
Answer:
x=-4
x=4
Step-by-step explanation:
We can factor x^2 -16 = 0 by recognizing that it is a difference of squares. That means we can factor the equation to (x-4)(x+4) = 0. By using the Zero Product Property we know that either (x-4) or (x+4) is equal to 0. That means that x either equals -4 or 4.
<span>Simplifying
12 + -6(w + -3) = 3(-5 + -3w) + 21
Reorder the terms:
12 + -6(-3 + w) = 3(-5 + -3w) + 21
12 + (-3 * -6 + w * -6) = 3(-5 + -3w) + 21
12 + (18 + -6w) = 3(-5 + -3w) + 21
Combine like terms: 12 + 18 = 30
30 + -6w = 3(-5 + -3w) + 21
30 + -6w = (-5 * 3 + -3w * 3) + 21
30 + -6w = (-15 + -9w) + 21
Reorder the terms:
30 + -6w = -15 + 21 + -9w
Combine like terms: -15 + 21 = 6
30 + -6w = 6 + -9w
Solving
30 + -6w = 6 + -9w
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '9w' to each side of the equation.
30 + -6w + 9w = 6 + -9w + 9w
Combine like terms: -6w + 9w = 3w
30 + 3w = 6 + -9w + 9w
Combine like terms: -9w + 9w = 0
30 + 3w = 6 + 0
30 + 3w = 6
Add '-30' to each side of the equation.
30 + -30 + 3w = 6 + -30
Combine like terms: 30 + -30 = 0
0 + 3w = 6 + -30
3w = 6 + -30
Combine like terms: 6 + -30 = -24
3w = -24
Divide each side by '3'.
w = -8
Simplifying
w = -8</span>
Answer:
nickel = 16
dimes = 32
quarters = 10
Step-by-step explanation:
Given that,
number of coins Zachery have in his piggy bank = 58
total money Zachery have in his piggy bank = $6.50
Suppose number of nickel = x
number of dimes = 2x
number of quarters = y
1 nickel = $0.05
1 dime = $0.10
1 quarter = $0.25
<h3>
Equation 1</h3>
x + 2x + y = 58
3x + y = 58
<h3>
Equation 2</h3>
x(0.05) + 2x(0.10) + y(0.25) = 6.50
0.05x + 0.2x + 0.25y = 6.50
0.25x + 0.25y = 6.50
y = 58 - 3x
<h3>
put value of y in equation 2</h3>
0.25x + 0.25(58 - 3x) = 6.50
0.25x + 14.5 - 0.75x = 6.50
-0.5x = 6.50 - 14.5
-0.5x = -8
x = 16
y = 58 - 3x
y = 58 -3(16)
y =10
number of nickel = x = 16
number of dimes = 2x = 32
number of quarters = y = 10
