Answer:
the cylinder volume is greater
Step-by-step explanation:
The volume of a cube with x=1 is ...
V(1) = 1^3 = 1
The graph shows y ≈ 1.5 for x=1. Since 1.5 > 1, the volume of the cylinder is greater.
Answer:
- 1.5 times
- bottle Y
- third bottle
Step-by-step explanation:
Insufficient dimensions are given to compute an exact volume of each geometry, so we have to assume that the volume is proportional to the product of base area and height. Then the relative volumes will be ...
bottle X: (6 in)(2 in)(1 in) = 12 in^3
bottle Y: (4 in)(3 in)(1.5 in) = 18 in^3
3rd bottle: (3 in)(6 in^2) = 18 in^3
That is, the relative volumes are ...
X : Y : 3rd = 12 : 18 : 18 = 1 : 1.5 : 1.5
The corresponding relative prices are ...
X : Y : 3rd = 9.96 : 14.40 : 13:20 = 1 : 1.446 : 1.325
__
A. Bottle Y has 1.5 times as much lotion as Bottle X.
__
B. Bottle Y is a better buy than Bottle X. (The price relative to X is less than the volume relative to X.)
__
C. The 3rd bottle is the best buy. For the same volume, the price of the 3rd bottle is less than that of Bottle Y.
_____
Note that the relative volume and price ratios are found by dividing all the numbers in the ratio sequence by the first number:
12 : 18 : 18 = (12/12) : (18/12) : (18/12)
9.96 : 14.40 : 13.20 = (9.96/9.96) : (14.40/9.96) : (13.20/9.96)
Answer: 203.5mg and 322.5mg
Step-by-step explanation:
Let represent two serving of Mc Donald quarter pounds with = m
Let three Burger King whopper = b
given:
1). m + b = 300 + 395......equation 1.
1). m + b = 695.
And
2). 3m + b = 288.......... equation 2.
• Using Elimination method, Multiply both sides of eqn.(1) and (2)by 3. then
-3m + 3b = 2084
9m + 3b = 864
Subtract equation (1) from (2).
6m = 1221
Divide both sides by -6
m = 203.5
Substitute (m) into equation 1
3m + b = 288.
3(203.5) + b = 288.
610.5 + b = 288
b = 610.5 - 288
b = 322.5
Two servings of Mc Donald quarter pound has 203.5mg of cholesterol.
Three servings of whopper has 322.5mg of cholesterol.
Answer:
Step-by-step explanation:
1. multiplication property of equality.
2.division property of equality.
Answer:
D. Euler Circuit.
Step-by-step explanation:
An Euler Circuit goes through every edge exactly once; starts and stops at the same vertex.
According to the Euler's Theorem, A graph has an Euler path if there are two 2-degree vertices without odd degrees and all other vertices have even degrees.
Mathematically, it is given as;
V+F=2-E
where;
F is the number of faces
V the number of vertices
E the number of edges.
