Answer:
1. a=22.18394
2. 13.31803
Step-by-step explanation:
Answer:
On the first one, they took half of the original number then added it to the original to get the sides of the bigger shape.
Step-by-step explanation:
Answer:
= −
8/5
Step-by-step explanation:
Distribute
3
(
2
+
3
)
=
1
(
+
1
)
6
+
9
=
1
(
+
1
)
Multiply by 1
6
+
9
=
1
(
+
1
)
6
+
9
=
+
1
Subtract
9
9
9
from both sides of the equation
6
+
9
=
+
1
6
+
9
−
9
=
+
1
−
9
Answer:
Step-by-step explanation:
Given that the number of males in the classroom is three more than twice the number of females.
the total number of students is 57
Let x be the no of males then no of females =
Also we have 3 more than twice no of females as
This equals x
No of males = 39, no of females = 18
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