-2
Divide each term (-4x = 8 by -4)
Cancel the common factor of -4
x = 8/-4
THEN DIVIDE
x=-2
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:
Yes by SSS because you have the same hypotenuse and same hatch marks on other sides
We know that the width of the garden is =
feet = 6.75 feet
and Perimeter of the garden is = 37.5 feet
Also, we know that for a rectangular space perimeter = 2 * (l + w)
⇒ 37.5 = 2 * (l + 6.75)
⇒ 37.5 = 13.5 + 2*l
⇒ 24 = 2*l
⇒ l = 12 feet
Now, we need to determine how much square feet of mulch is required, hence we need to calculate the area of the garden
Area = l * w
⇒ Area = 12 * 6.75
⇒ Area = 81 square feet
Hence, they require 81 square feet of mulch
Answer:
93
Step-by-step explanation: