We know, nickel = 5 cents
& 1 dime = 10 cents,
So, money from nickel would be:= 5x
money from dime would be:= 10y
Total, money = 2000 cents ($20)
& You need to shade the area below the line for positive values of x and y.
By collecting all the datas from above, option C is your answer.
Hope this helps!
Hello there!
![b + 2 = -5](https://tex.z-dn.net/?f=b%20%2B%202%20%3D%20-5)
Explanation:
↓↓↓↓↓↓↓↓↓↓↓
First you had to subtract by 2 from both sides of the equation.
![b+2-2=-5-2](https://tex.z-dn.net/?f=b%2B2-2%3D-5-2)
Simplify it should be the correct answer.
![b=-7](https://tex.z-dn.net/?f=b%3D-7)
Answer⇒⇒⇒b=-7
Hope this helps!
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Have a great day!
-Charlie
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
18 mins.
Explanation:
Time taken to travel 20 m = 1 min
Time taken to travel 360m = x min
therefore:
1/20=x/360
(cross multiply)
20 x =360(isolate x by dividing both sides by 20)
x = 360
20 x
= 18 mins.