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 <u>correct answer</u> is:
The check has not been cashed yet.
Explanation:
When you receive your bank statements, all of the transactions that have been processed are listed. This includes deposits, debits and checks.
All transactions are usually listed in order of the date of transaction. Additionally, the checks are usually listed at the bottom of the statement.
If there is a gap between check numbers that you have written, it means that the missing checks have not been processed. This means that they have not been cashed or deposited.
Answer:
10
Step-by-step explanation:
How you find LCD (lowest common denominator) is that you have to look at the denominator (the bottom number) and try to find the lowest multiple between both of the numbers that is on the bottom (in this case it is 2 and 5). Sometimes you have to multiply both denominators together to get a LCD.
Example of multiplying two denominators together to get an LCD:
1/3 and 1/13 LCD is 39 because you multiply 3 and 13.
1/5 and 1/4 LCD is 20 because you multiply 5 and 4.
12) 2.3
13) 4/13
14) 8 7/11
7) .3434...
8) 3.166...
15) (2700-600)/2700 = 2100/2700 = 21/27 = 7/9
1) .4666666667
2) .4444...
3) -0.6666666667
4) -0.8571428571
5) 3.3409090909...
6) -2.227272727273
**bar notation is when you put a bar over the repeating part of a decimal because you can't right it all since it goes on forever
