Answer:
x = 1
Step-by-step explanation:
3x + 1/2 (2x + 6) = 6x + 1
3x + x + 3 = 6x + 1
4x + 3 = 6x + 1
2 = 2x
x = 1
The equation for area of a triangle is 0.5*base*height, so when you halve both the base and height, the area gets divided by 4.
The area of the first triangle is 0.5*80*40 = 1600 cm^2.
6 1/4 cm^2 is the same as 25/4 cm^2.
Now, we have to see how many times 1600 cm^2 can be divided by 4 to get 25/4 cm^2.
Area of second triangle: 1600/4 = 400
Area of third triangle: 400/4 = 100
Area of fourth triangle: 100/4 = 25
Area of fifth triangle = 25/4
So, the fifth triangle has an area of 6 1/4 cm^2.
The pattern would be the area of the nth triangle =
Answer:
3x - 2 = 2y
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x + 5 = 2y into this form by dividing all terms by 2
x +
= y ← in slope- intercept form
with slope m = 
Parallel lines have equal slopes and c = - 1, thus
y =
x - 1 ← in slope- intercept form
Multiply through by 2
2y = 3x - 2 ← equation of line
The answer is three significant figures. The 1 and the 7 are both significant, because they are non-zero quantities.
This is where significant figures gets a little more complicated, because if a zero is used as a placeholder (i.e. 0.00027 cm) then it is insignificant.
But in the case above, the zero isn't being used as a placeholder, and thus, is significant.
I hope this helps you
1)
a) 18/50
b) 6.1/3=2
c) 9/2.8/3=3.4=12
2)
1 1/2=1.2+1/2=3/2
3 3/4=3.4+3/4=15/4
if we can 12 muffins with 3/2 cups
how many muffins with 15/4
?.3/2=12.15/4
?=30 muffins