Answer:
- 12x +9y ≥ 510
- y ≤ 2x
- y ≥ 25
Step-by-step explanation:
Phoebe earns 12x for her yard weeding, and Richie earns 9y for his dog walking. They want the sum of these earnings to be at least 510, so the first constraint inequality is ...
12x +9y ≥ 510
__
Richie plans to walk no more than 2x dogs, since y is the number of dogs he walks, the second constraint is ...
y ≤ 2x
__
Richie will walk at least 25 dogs, so ...
y ≥ 25
Look for "Math Clues." Math Clues are like how many, fewer, left, and more.
How many is the total.
Fewer & Left are subtraction.
More represents add.
<span>Example<span>Problem<span><span>Use elimination to solve the system.</span> x –<span> y = </span>−6x <span>+ y = 8</span></span> </span><span> Add the equations.</span><span> <span><span>2x = 2</span>x = 1</span><span>Solve for x.</span></span><span> <span>x<span> + y = 8</span><span>1 + y = 8</span>y = 8 – 1y = 7</span><span>Substitute x = 1 into one of the original equations and solve for y.</span></span><span> <span>x<span> – y = −6</span>1 – 7 = −6−6 = −6 TRUE</span><span>x<span> + y = 8</span>1 + 7 = 88 = 8TRUE</span><span>Be sure to check your answer in both equations!</span></span><span>AnswerThe solution is (1, 7). </span></span>
Answer:
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
x = Edith's age = 20 years
y = Ronald's age
x = 20 = y/4
y = 20×4 = 80 years
in z years we have
(x + z) = (y + z)/3
(20 + z) = (80 + z)/3
3(20 + z) = 80 + z
60 + 3z = 80 + z
60 + 2z = 80
2z = 20
z = 10
in 10 years Edith's age will be 1/3 of Ronald's age.
then Edith will be 30, and Ronald will be 90.
30 = 90/3
correct.
