Answer: 
9 lawns, assuming Fiona spends 1 hour per lawn.
Step-by-step explanation:
Let Y = the amount earned from mowing a lawn. Let z be the number of hours worked on that lawn.
Y = $10 + $5(z)
We need to know the number of hours, z, for any particular lawn to be able to make this a valid equation. Not having that, we really can't set up a valid equation.
But let's assume z=1 for each and every lawn and see what we'd have.
Y = $10 + $5
Y = $15/lawn.
Fiona needs at least $135 for her Broadway ticket.
Let L be the number of lawns mowed. We need:
L*($15/lawn) $135
L 9 lawns
The first one is 4•7 I believe
Answer: 1. {-2, -3} 2. {-5, 5} 3. {-3, 5}
<u>Step-by-step explanation:</u>
1) First, factor the equation by finding two numbers whose product is 6 and sum is 5. Then apply the Zero Product Property by setting each product equal to zero and solving for m.
m² + 5m + 6 = 0
∧
1 + 6 = 7
2 + 3 = 5 This works!
(x + 2)(x + 3) = 0
x + 2 = 0 x + 3 = 0
x = -2 x = -3
2) Factor out the GCF of 5. Notice the remaining factor is the difference of squares (because the middle term is missing and the first and last terms are perfect squares. Then apply the Zero Product Property by setting each product equal to zero and solving for p.
5p² - 125 = 0
5(p² - 25) = 0
5(p +5)(p - 5) = 0
5 ≠ 0 p+ 5 = 0 p - 5 = 0
p = -5 p = 5
3) Factor out the GCF of 2. Factor the equation by finding two numbers whose product is -15 and sum is -2. Then apply the Zero Product Property by setting each product equal to zero and solving for x.
2x² - 4x - 30 = 0
2(x² - 2 - 15) = 0
∧
1 - 15 = -14
3 - 5 = -2 This works!
(x + 3)(x - 5) = 0
x + 3 = 0 x - 5 = 0
x = -3 x = 5
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You are allowed a maximum of 3 questions.
Try #4 and #5 on your own. If you still need help with them, please create a new question and post them.
Make a variable for “number”
Number=X
0.3x=42
X=140
50% is the same as 1/2
So, half of 140 is: 70
Answer:
<h2>n = -12</h2>
Step-by-step explanation:
2n + 5 = n - 7 <em>subtract 5 from both sides</em>
2n + 5 - 5 = n - 7 - 5
2n = n - 12 <em>subtract n from both sides</em>
2n - n = n - n - 12
n = -12
