Answer:
Slope is 1/2
Step-by-step explanation:
Use the slope formula. Say S = the 1st point and T = the 2nd point.
m = 20 - 10 10 1
------------ = ----------- = ---
20 - 0 20 2
The equation for slope is also y = mx + b
m is the slope, b is the y-intercept.
Therefore, if you look at the 1st choice, you can see that 1/2 is in the place of m, meaning that 1/2 is the slope of line ST
I dunno how to do the other way
Answer:25(20)+10(10)=600
X Y
Step-by-step explanation: sell 20 (X) Large candles and sell 10 (Y) small candles
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:
9 x 100 + 8 x 10 + 7 x 1000 = 7,980