Answer:
<em>a:b:c=8:12:15</em>
Step-by-step explanation:
<u>Combined Ratio</u>
We are given the ratios:
a:b=2:3
b:c=4:5
The combined ratio a:b:c will include all three variables in one single expression.
Before finding it, we must have a common number for the common variable (b). Since b is 3 in the first ratio and 4 in the second ratio, we must equate both by finding the LCM of 3 and 4=12, thus both ratios will be amplified as follows:
a:b=2:3=(2*4):(3*4)=8:12
b:c=4:5=(4*3):(5*3)=12:15
Now there is a common factor in both ratios, we can combine them removing the common factor:
a:b:c=8:12:15
Answer:
31 units
Step-by-step explanation:
When the figure is a parallelogram, opposite sides have the same measure:
AD = BC
3x +7 = 5x -9 . . . . . . substitute given expressions
16 = 2x . . . . . . . . . . . add 9-3x
8 = x . . . . . . . . . . . . . divide by 2
Use this value of x in the expression for AD to find its required length:
AD = 3(8) +7 = 24 +7
AD = 31 . . . . units
The length of segment AD must be 31 units for ABCD to be a parallelogram.
20/35 gallons per hour
(20/35) * 47 = around 27 gallons in 47 hours
Let the number of hours be x.
70 + 80x < 100x
20x > 70
x > 3.5
Answer:
SNITCHY SNATCH
Step-by-step explanation:
I actually don't know how to show how to graph it. Sorry. But I can give a few coordinates. For y < 1/3x + 3: (-1,2 2/3) (0,3) (1,3 1/3). For y > -2/3x - 3: (-1,-2 1/3) (0,-3) (1,-3 2/3).
