$123 = ($3b + $8.50c)
b + c = 30
b = 24 birds ($72)
c = 6 cats ($51)
51+72=123
There were 24 birds at the shelter on Tuesday.
I'm sorry, I don't know what is being asked.
The first one is B
The second one is D
Hope this helps you!
3x -y ⩾ 6
3x - 6 ⩾ y
now, with inequalities, what we do is, we graph the line of 3x - 6 = y, and then we shade the "true region".
if we pick a point on say hmmm (4, 0), namely x = 4 and y = 0, we can plug that in the inequality and see what we get,
3(4) - 0 ⩾ 6
12 - 0 ⩾ 6
12 ⩾ 6
is 12 really greater or equals to 6? well yes, therefore, the point (4, 0) lies on the "true region", since it's true, 12 is indeed ⩾ 6, so, where that point is, we shade.
now, the ⩾ means equals to or greater, and therefore, since the values could also equal the boundary points, the line is a solid line, because it includes the line itself, as well as the shading.
check the picture below.
Answer:
1: $53750
2: $15975
3: 40
4: 90
5: 51
6a: 20%
6b:204
Step-by-step explanation:
1: to calculate this mulitply 50000*1.075= 53750
2: same deal 15000*1.065=15975
3: We have a ratio of 3:2 and then 60:x because we multiplied the first ratio by 20 to get the 60 in the second we multiply the 2 by 20 as well and get x=40
4: This one is kind of tricky. we know that there are 4 dogs for every 3 cats. We also know that there are 210 animals. This means that 4x+3x=210 solve this and get x=30 you then multiply the ratio 4:3 by 30 and get 120:90
5: 1/5*255=51
5a: 1/5=.2=20%
5b: 255-51=204