Answer:
She should mix 9 g of powder
Step-by-step explanation:
From the question, we can have a ratio for powder to water
we have 5 g of powder mixed with 45 cm^3 of water
So, for every 1 g, we have 5g/45 cm^3
we have 9 cm^3
So let’s relate this to the bigger water mix
Recall from above; we have the mixing as 1 g per 9 cm^2 of water
1g per 9 cm^2
x g per 81 cm^2
81 * 1 = x * 9
9x = 81
x = 81/9
x = 9g
The answer would be D. Because the solution is where the lines intersect.
They only intersect at the origin in D.
Answer:
1.38
Step-by-step explanation:
2 cups is one pint so if 3/4 is .38 then you would put it together to get 1.38
Interesting problem ...
The key is to realize that the wires have some distance to the ground, that does not change.
The pole does change. But the vertical height of the pole plus the distance from the pole to the wires is the distance ground to the wires all the time. In other words, for any angle one has:
D = L * sin(alpha) + d, where D is the distance wires-ground, L is the length of the pole, alpha is the angle, and 'd' is the distance from the top of the (inclined) pole to the wires:
L*sin(40) + 8 = L*sin(60) + 2, so one can get the length of the pole:
L = (8-2)/(sin(60) - sin(40)) = 6/0.2232 = 26.88 ft (be careful to have the calculator in degrees not rad)
So the pole is 26.88 ft long!
If the wires are higher than 26.88 ft, no problem. if they are below, the concerns are justified and it won't pass!
Your statement does not mention the distance between the wires and the ground. Do you have it?
Let's translate the verbal language to algebraic language.
She rides to and from school 5 days per week, 6.25 miles each route => 5*2*6.25 miles = 62.5 miles.
She rides additioanly around the park 2.5 miles for each trip t => 2.5*t = 2.5t
Total miles of her rides per week: 62.5 miles + 2.5t
She wants to ride minimum 85 miles => 62.5 + 2.5t ≥ 85
Then, the situation is represented by this inequality:
2.5t + 62.5 ≥ 85
You can develop it and get to several equivalent inequalities, for example:
2.5t ≥ 85 - 62.5
2.5t ≥ 22.5
t ≥ 9
Any of the four forms are equivalent and a valid answer.
