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:
1. 18
2. 6
3. ?
4. 3
5. 4
6. 1
7. 5
Step-by-step explanation:
1. 6 x 3 = 18
2. 2 + 4 = 6
3. ( I cant read the problem)
4. 6 - 3 = 3
5. 2 x 2 = 4
6. 3 ÷ 3 = 1
7. 6 - 1 = 5
8. 6 + 2 = 8
The area of the yard is 50,600 square feet.
Option: C.
<u>Step-by-step explanation:</u>
The given information forms a trapezoid.
The AB is the upper base (a) and its length is 200 feet.
The CD is the lower base (b) and its length is 260 feet.
A straight line distance from AB and CD is the height (h) and its measures as 220 feet.
The area of trapezoid A= 
.
A= 
.
=
.
=230(220).
=50600 
Thus the area of John's yard is 50,600 square feet.
Answer:
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Step-by-step explanation:
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