Red : Black : Total
7 : 2 : 7+2
7 : 2 : 9
9x = 54
1x = 54÷9 = 6
7x = 7x6 = 42
2x = 2x6 = 12
Red : Black
42 : 12
42 - 12 = 30
There are 30 more red than black
the general expression of the growth function is :
The given expression :
On comparing with the general equation :
b = 2
a = 0.94
Intial value = 2
As the variable x is positive so the functioni is Growth function
Growth factor is the factor by which a quantity multiplies itself over time.
So, here growth factor = 0.94 0r 94%
Growth rate is the addend by which a quantity increases (or decreases) over time.
so,
Answer :
13 ) Growth
14) 2
15) 0.94
16) 3.88
The larger triangle ABC is similar to the smaller triangles as follows.
Triangle ABC ~ triangle DBA by AA similarity because they share angle B and angles A and D are right angles.
Triangle ABC ~ triangle DAC by AA similarity because they share angle C and angles A and D are right angles.
So you can set up the following proportions, seeing that the answers are involving either AC^2 or AB^2.
AB/BD = BC/AB When you cross multiply, you get AB^2 = BC times BD, which is the first answer listed.
Using the other proportion, AC/CD = BC/AC, when you cross multiply, you get AC^2 = BC times CD, which is not one of the answers listed.
A. 4(-1)-2y=12
-4-2y=12
-2y=16
y=-8
B. 4(4)-2y=12
16-2y=12
-2y=-4
y=2
Answer: No. Pennant Sports Shop did not sell the same ratio of defense sticks to total lacrosse sticks on both days.
Step-by-step explanation:
On Friday, there were 25 lacrosse sticks sold, 10 of which were defense sticks. The ratio of defense sticks to lacrosse will be:
= 10/25 = 2/5 = 2:5
On Saturday, there were 50 lacrosse sticks sold, 15 of which were defense stick. The ratio of defense sticks to lacrosse will be:
= 15/50 = 3/10 = 3:10
Based on the calculation above, Pennant Sports Shop did not sell the same ratio of defense sticks to total lacrosse sticks on both days