The equivalent ratios of mammals to birds at the zoo are;
1) 32 to 28
3) 24 to 21
We are given the ratio of mammals to birds at the zoo as; 96 : 84
<h3>Equivalent Ratios</h3>
To get the possible equivalent ratios, we need to first of all list out all the factors of 96 and 84.
- Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
- Factors of 84: 1, 2, 3, 4, 6, 14, 21, 28, 42, 84.
Now, from the factors listed above, if we divide both 96 and 84 by 3, we will arrive at a ratio of;
32:28
Likewise,if we divide both by 4 we will get;
24:21
In conclusion, the only equivalent ratios are 32:28 and 24:21.
Read more about ratios at; brainly.com/question/2784798
Answer:Ok I This question can be solved using a system of equation, which requires translating the above word problem into something that can be algebraically
Let O=oranges and Let G=Grapefruit
5O +8G=235
3O + 2G=85
To solve, you must isolate one of the variables and then work from there. To do that multiply both sides of the bottom or second equation by four and then subtract the bottom equation from the top.
Which would look like this
5O +8G=235
12O + 8G= 340
Then subtract the bottom from the top to get this
-7O=-105
Solving for O we divide both sides by -7, and end up with O=15
Plugging that value back into one of our original equations to solve for G we get this
3(15) + 2G= 85
45 +2G=85
2G=40
G=20
So 1 case of each altogether would equal 15+20, or $35.
<h3>
Hope this helps have a awesome night/day❤️✨</h3>
Step-by-step explanation:
You might want to look up some webstite that explains how to do it. thats how i learned area. I know the answer but i like to draw it out
Step-by-step explanation:
For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).
1) y = -0.5t² + 2t + 38
The maximum is at:
t = -2 / (2 × -0.5)
t = 2
The maximum height is:
y = -0.5(2)² + 2(2) + 38
y = 40
The coordinates of the vertex are (2, 40). That means the missile reaches a maximum height of 40 km after 2 minutes.
2) y = -4.9t² + 12t + 1.6
The maximum is at:
t = -12 / (2 × -4.9)
t = 1.22
The maximum height is:
y = -4.9(1.22)² + 12(1.22) + 1.6
y = 8.95
The coordinates of the vertex are (1.22, 8.95). That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.
3) y = -0.04x² + 0.88x
The maximum is at:
x = -0.88 / (2 × -0.04)
x = 11
The maximum height is:
y = -0.04(11)² + 0.88(11)
y = 4.84
The maximum height of the tunnel is 4.84 meters.
The maximum width is when y = 0.
0 = -0.04x² + 0.88x
0 = -0.04x (x − 22)
x = 22
The maximum width is 22 feet.
