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:
Let's assume John gets p for each day so his total is 4p. He spends half of that on gas, (4p)/2 = 2p. He has 2p left. Now subtract 5 from 2p for the coffee, and there is 35 left. So 2p - 5 = 35. Right? Now you can solve for p, by simplifying that equation.
Step-by-step explanation:
Answer:
#1. 8.27
#2. 36
#3. 22
#4. 7.25
Step-by-step explanation:
#1: 60÷11=5.45 ----> 5.45×16=<u>87.27</u> <This is a non-terminating decimal>
#2: 60÷5= 12 ----> 12×3= <u>36</u>
<u></u>
#3: Games- 35 Won- 14 Lost- 21
In 1 Game Manchester won = 14/35 = 2/5 games in 54 Game Manchester won = 54 x 2/5 games
= 108 / 5
= 21.6
<u>= 22</u>
<u></u>
#4: 6 : 91 ⇒ n : 110
6(110) ⇒ 91(n)
660 ⇒ 91n
660/91 ⇒ n
<u>7.25=n</u>
<u></u>
Answer:
I will attach a picture, but I need you to attach a screenshot so I can solve it.
Step-by-step explanation:
But here:
The ordered pairs that are a solution to the equation y=4-2x are (0,4) and (-1,6)
