Answer:
Step-by-step explanation:
3(a+3)-6=21
<=>3a+9-6=21
<=>3a+3=21
<=>3a=18
<=>a=6
Answer:
P (5 , 8)
Step-by-step explanation:
P (x,y) partition A (x₁ , y₁) B (x₂ , y₂) into ratio AM:MB = a:b = 2:1 ... a=2 , b=1
x = (bx₁ + ax₂) / (a+b)
= (1 * 3 + 2 * 6) / (2 + 1)
= 15/3
= 5
y = (by₁ + ay₂) / (a+b)
= (1 * 4 + 2 * 10) / (2 + 1)
= 24/3
= 8
P (5 , 8)
Answer:
$1.59 for a pint,
two dollars for a quart,
299 for a gallon
Step-by-step explanation:
Since, rate is used to compare different kinds of quantities and it is the ratio of the quantities,
Also, unit rate states the amount of first quantity corresponding to the unit amount of second quantity,
When we talk about the unit rates for a quantity,
Then it shows the price of the quantity per unit amount.
Thus, by the above explanation it is clear that,
The unit price for representing the price of juice would be,
$1.59 for a pint,
two dollars for a quart,
299 for a gallon.
Note : we do not consider 'one dollar for 12 ounces' a unit price because it is not the price per 1 ounce.
Answer:
a) = Slope of line AB = 1/2
<h2><em><u>
Perpendicular = -2</u></em></h2>
<h2>b) <em><u>
y = -2x + 6</u></em></h2><h2 />
Step-by-step explanation:
a) When it is perpendicular the answer will be positive if the initial value is negative. If it is a whole number, then the perpendicular number is going to be a fraction. The opposite applies.
b) Slope = -2x
intercept = ?
y = -2x + b
0 = -6 + b
+6 +6
b = 6
<em><u>y = -2x + 6</u></em>
