M = 5/2
B = -4
Y - 1 = 5/2(x - 2)
Y - 1 = 5/2x - 5
+1. +1
Y = 5/2x - 4
(I think)
Answer:
200 pounds 20% raisins
800 pounds 5% raisins
Step-by-step explanation:
Let number of 5% be x
and number of 20% be y
x + y = 1000
Also;
5% of x + 20-% of y = 8% of 1000 pounds
= 0.05x + 0.2y = 80
From i , x = 1000-y
0.05(1000-y) + 0.2y = 80
50-0.05y + 0.2y = 80
0.15y = 30
y = 200
x = 1000 - y
= 1000-200 = 800
Answer:
The answer is C. 546.
If a population decreases by 11%, that means that 89% (100% - 11% = 89%) of cheetahs remains each number. 89% can be expressed as 0.89, so to calculate the change of the population, we must each year multiply the number of cheetahs by 0.89.
After 1 year: 1750 * 0.89 ≈ 1558
After 2 years: 1558 * 0.89 ≈ 1387
After 3 years: 1387 * 0.89 ≈ 1234
After 4 years: 1234 * 0.89 ≈ 1098
After 5 years: 1098 * 0.89 ≈ 977
After 6 years: 977 * 0.89 ≈ 870
After 7 years: 870 * 0.89 ≈ 774
After 8 years: 774 * 0.89 ≈ 689
After 9 years: 689 * 0.89 ≈ 613
After 10 years: 613 * 0.89 ≈ 546
Step-by-step explanation:
5).
and
6).
The volume of a sphere is
(4/3) (pi) (radius)³ .
In #5, the 'pi' is already there next to the answer window.
You just have to come up with the (4/3)(radius³).
Remember that the radius = 1/2 of the diameter.
7). The volume of a cylinder is
(pi) (radius²) (height) .
Divide the juice in the container by the volume of one can,
to get the number of cans he can fill.
8). The volume of a cone is
(1/3) (pi) (radius of the round bottom)² (height) .
He starts with a small cone, he then adds clay to it to make it higher.
The question is: How much clay does he ADD to the short one,
to make the bigger one ?
Use the formula to find the volume of the short one.
Use the formula again to find the volume of the bigger one.
Then SUBTRACT the smaller volume from the bigger volume.
THAT's how much clay he has to ADD.
Notice that the new built-up cone has the same radius
but more height than the first cone.
_______________________________________
Don't worry if you don't understand this.
The answer will be this number:
(1/3) (pi) (radius²) (height of the big one minus height of the small one).
Step-by-step explanation:
area of trapezoid = 1/2 × (a+b) h
where a = long base
b = short base
h = height
given that, a = 8, b = 5, a of trapezoid = 104:
area of trapezoid = 1/2 × ( 8+5) h
104 = 13/2 h
104 * 2 = 13 h
13 h = 208
h = 208 / 13
h = 16.0 ft.
hope this helps you!
-s.
