Answer:
Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?
A. 125 B. 156 C. 192 D. 208 E.317
The volume of the toy is 125 cubic cm ,option A is the closest answer.
Step-by-step explanation:
Given:
A rectangular container .
Length of the container =8 cm
Width of the container = 6 cm
Height of the container when water is filled = 
= 4 cm
Height of the container when the toy is submerged = 
=6.6 cm
Volume of the toy = Volume of the container with the toy - Volume of the container (with water)
Volume of the toy = 
= 
= 
= 
= 
cubic centimeters.
So,the closest value to the volume of the toy is 125 cubic centimeters.
Answer:
y=4
Step-by-step explanation:
y=2+2/2-1
y=4
Answer:
Both Oscar and Kim will have enough to purchase the book.
Step-by-step explanation:
Oscar takes 30% of the normal price and subtracts it from the normal price. Out of 100% price he takes 30% so the result is: 100-30%= 70% of the normal price. Oscar's first step has the same result as Kim.
Oscar takes 10% of the discounted price (70%) and adds it back. The price will become 70% + 10%*70%= 77% of original price. Kim multiplies the discounted price with 110%, so the price will be: 70% * 110%= 77%. Both also give the same result.
The final price is 77% of the original, it will be: $28.50* 77%= $21.945
Oscar :
28.50 - 0.30(28.50) = 28.50 - 8.55 = 19.95
0.10(19.95) + 19.95 = 2 + 19.95 = 21.95
Kim :
0.7(28.50) = 19.95
1.10(19.95) = 21.95
Answer:
the probability that at least one envelope is a yellow envelope is 16/21
Step-by-step explanation:
The probability that at least one envelope is a yellow envelope is P(Y);
P(Y) = 1 - P(Y)'
P(Y)' is the probability that no envelope is a yellow envelope.
Given;
red envelope = 1
blue envelopes = 3
green envelopes = 2
yellow envelopes = 3
Total = 9
Number of non-yellow envelope = 9 -3 = 6
(6 envelope are not yellow)
P(Y)' = P1 × P2 × P3
Since there is no replacement;
P(Y)' = 6/9 × 5/8 × 4/7
P(Y)' = 5/21
From equation 1;
P(Y) = 1 - 5/21
P(Y) = 16/21
the probability that at least one envelope is a yellow envelope is 16/21.
Given:
The graph of cost of taxi with respect to number of miles.
To find:
The formula for C in terms of n.
Solution:
In the given graph x axis represents the number of miles (n) and y-axis represents the cost of taxi (C).
From the given graph it is clear that, the line passes through the points (0,3) and (5,6). So, the equation of line is
Adding 3 on both sides, we get
Putting y=C and x=n, we get
Therefore, the required formula is .
