Answer:
Width of the rectangular prism
It is given to us that the volume of the rectangular prism is calculated by the given formula :-
v = lwh
Where,
v = volume
l = length
w = width
h = height
Now,
In the question we are given :-
v = 138.24 cubic inches
h = 9.6 inches
l = 3.2 inches
w = ?
Substitute these values in the volume formula given :-
138.24 = 3.2 * w * 9.6
138.24 = 30.72 * w
w = 138.24/30.72
w = 4.5
⇒ The width of the rectangular prism is 4.5 inches.
Answer:
The scores in order from least likely to most likely is 8, 3, 4, and 5.
Step-by-step explanation:
1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8
You will get:
2 (1/16)
3 (2/16)
4 (3/16)
5 (4/16)
6 (3/16)
7 (2/16)
8 (1/16)
2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).
3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.
Answer:
The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.
Step-by-step explanation:
In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.

We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:


The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.
<span>Let
CP ------> cost price
SP ------> Selling price
we know that
SP= CP + 0.45CP
Mark up = 0.45CP
Ratio of Mark up to Selling price-------> 0.45CP/(CP + 0.45CP)
= 0.45/(1+0.45)-------> </span><span>0.45/1.45=0.3103
</span><span>0.3103 multiplied by 100 = 31.03%
</span>
the answer is
31.03%