Answer:
-15/16
Step-by-step explanation:
3/2 x (-5/8) = 12/8 x -5/8 = -60/64 = - 15/16
Answer:
exact form is x=85/6
decimal form is x=14.16 repeating
mixed number is x=14 1/6
Answer:
y = 2/3x + 1 1/3
Step-by-step explanation:
Find the slope using rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(2 - 0) / (1 + 2)
2 / 3
= 2/3
Then, plug in the slope and a point into y = mx + b to solve for b:
y = mx + b
2 = 2/3(1) + b
2 = 2/3 + b
1 1/3 = b
Plug in the slope and y intercept into y = mx + b
y = 2/3x + 1 1/3 is the equation of the line
The method used is Distributive Property.
<h3>What is Distributive property?</h3>
The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.
Given:
(2x² - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2)
Here the property used is Distributive property.
Because distributive property in this way
a*(b+c)= a*b+ a*c
This is how a is being multiplied by with b and c.
Learn more about this Distributive property here:
brainly.com/question/4136433
#SPJ1
Answer:
The number of boys are 18 and the number of girls are 30.
Step-by-step explanation:
The ratio of number of girls to the boys = 3 : 5
Let the number of girls is g and boys is b initially.
b : g = 3 : 5
5 b = 3 g ..... (1)
Now, girls are 6 + g and boys are b - 9
So, the ratio is
(b - 9) : (6 + g) = 1 : 4
4 b - 36 = 6 + g
4 b - g = 42 .... (2)
From ( 1 ) and ( 2 )
And , g = 5 x 18/3 = 30
So, the number of boys are 18 and the number of girls are 30.
