The problem deals with fractions comparison, lets do it:
21/30 > 2/3
we begin solving:
21 > (2/3)*30
21 > 2*10
<span>21 > 20
</span>therefore the proposed inequality is true, <span>21/30 > 2/3
You can solve as well getting same denominator for both fractions and comparing directly, in this case we need to get 2/3 to be divided by 30:
2/3 = (10/10)(2/3) = 20/30
So we have:
</span><span>21/30 > 2/3
</span>which is equal to:
<span>21/30 > 20/30
</span>and we compare directly because both fractions are divided by the same number, and we can see that the inequality is true.
9514 1404 393
Answer:
- 3/2
- it is the ratio of oil to vinegar in the dressing
- y = 3/2x
Step-by-step explanation:
1. The table can be filled in like this:
- (x, y)
- (0, 0)
- (2, 3)
- (4, 6)
- (6, 9)
The constant of proportionality is the ratio of y to x:
k = 3/2
__
2. The meaning of the constant of proportionality is just what it is defined to mean: the ratio of oil to vinegar in the dressing.
__
3. The equation is y=kx, where k is the value in part 1:
y = (3/2)x
Answer:
d) 0.798
Step-by-step explanation:
Since we know that an exponential function is in form: 
, where,
a= Initial value,
b = For growth b is in form (1+r), where r is rate in decimal form.
b = For decay or regression b is less than 1 and in form (1-r), where r is rate in decimal form.
Upon looking at our given choices we can see that options a, b and c are in form 1+r, while choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.
25/70 = 5/14
5:14
The ratio in the simplest form is 5:14
V = 1/3 area of base * height
Area of base = h [(b₁ +b₂)]/2
[(3 + 6) * 4] : 2 =
18 ft²
Volume =
18 * 3 =
54 ft³
