Hello there! Given the temperature at 6am in Durango, Colorado was -8° Fahrenheit:
-8° + 15° = temperature at 2pm
• When adding a positive to a negative, we are subtracting the numbers and taking the sign of the greater number. The equation is represented as so:
(-) + (+) = (+)
The general rule corresponding to this equation is that the answer acquires the sign of the greater number. In this case, because 15 is greater than 8, our answer will be a positive number.
-8 + 15 = 7
From 6am to 2pm, the temperature would have risen from -8° Fahrenheit to 7° Fahrenheit. If you need any extra help, let me know and I will gladly assist you.
Answer:
9/16
Step-by-step explanation:
i got it right on khan academy
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
The company's sales increase by $940
(0.94×1000)
