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)
<h3>
Answer: D) One solution</h3>
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Work Shown:
2(b+3)-17 = 3b-7+b
2b+6-17 = 4b-7
2b-11 = 4b-7
-11+7 = 4b-2b
-4 = 2b
2b = -4
b = -4/2
b = -2
There is one solution and it is b = -2
A quick way to tell we have one solution is to note that both sides are a linear expression, and that the slopes of each linear expression are different values. If you had two lines with the same slope, then you'd have either parallel lines or coinciding lines (leading to no solutions and infinitely many solutions respectively). When you have two lines with two different slopes, then they are guaranteed to intersect only once. That intersection point is the solution.
Answer:
x=60
Step-by-step explanation:
this is an isosceles triangle. so angle D and F are equal. D= x and F=x. so 58+x+x=180
2x+58=180
2x=122
x=60
Answer:
3/2
Step-by-step explanation:
1) Convert into the slope intercept formula.
4x + 6y = 8
6y = -4x + 8
y = -4/6 + 4/3
y = -2/3 + 4/3
2) Find the opposite reciprocal of the slope.
The opposite reciprocal of -2/3 is 3/2.
The perpendicular slope of the line 4x + 6y = 8 is 3/2.
I'll just do a relative frequency for the whole table:
Enjoyed Did not Enjoy Total
Males 47 13 60
Females 53 3 56
Total 100 16 116
Enjoyed Did not Enjoy Total
Males 47/116 = 0.41 13/116 = 0.11 60/116 = 0.52
Females 53/116 = 0.45 3/116 = 0.03 56/116 = 0.48
Total 100/116 =0.86 16/116 = 0.14 116/116 = 1.00
<span>
I'm not sure where a and b should be but based on the table: it can a = 41% ; b = 3% or a = 47% or b = 3%</span>
