Answer: 126cm, 136.5cm, 147cm, 144cm, 100cm
Step-by-step explanation: 5% increase is the same as multiplying by 1.05, and to do it in reverse you divide instead.
120*1.05=126cm
130*1.05=136.5cm
140*1.05=147cm
151.2/1.05=144cm
105/1.05=100cm
The range is the set of y coordinates (or outputs). For any point (x,y) the y coordinate is the second number listed. For example, with (8,7) the y coordinate is 7.
So we simply list all of the y coordinates of each ordered pair. Those values are: 1, 0, -1, 7, 7
Let's order them as you would see on a number line
-1, 0, 1, 7, 7
then let's toss out the extra 7 to get
-1, 0, 1, 7
So the range is the set {-1, 0, 1, 7}
Answer:
20 m
Step-by-step explanation:
the distance from the top car to the bottom car is equal to the diameter of the wheel. The diameter is 40 m, and that is twice the radius. The radius of the Ferris wheel is (40 m)/2 = 20 m.
When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89
Answer:
B I hope this helped!
Step-by-step explanation:
