Answer:
Step-by-step explanation:
<em>Step 1: Determine quantity per liquid</em>
liquid 1=7/8 cup
liquid 2=9/10 cup
<em>Step 2: Derive expression to calculate total amount of mixture</em>
The expression below can be derived;
T=a+b
where;
T=total amount of mixture
a=total amount of liquid 1
b=total amount of liquid 2
In our case;
a=7/8 cup
b=9/10 cup
replacing;
T=(7/8)+(9/10)=1 31/40 cups
The total amount of mixture=1 31/40 cups
Answer:
5/6
Step-by-step explanation:
There are 5 numbers that fit the rule, 2, 4, 5, 6, 7. There are 6 numbers total so there is a 5/6 chance spinning on one of them.
Answer:
y = 4
Step-by-step explanation:
(2/3 + 4) + (-3/2y + 1/3y) = 0
(-3/2y + 1/3y) = -4 2/3
-9/6y + 2/6y = -14/3
-7/6y = -14/3
cross-multiply:
-21y = -84
y = 4
The intercepts are the points where the line meets with the x axis and the y axis. First let us find the equation of the line.
Finding slope:
slope=change in y/change in x (y2-y1/x2-x1)
slope=-3-(-8)/-4-(-1)=5/-3=-5/3
Finding y-intercept:
y=mx+b
-8=-5/3(-1)+b
b=-9 2/3
y intercept: (0,-9 2/3)
Equation: y=-5/3x-9 2/3
Since we already have the y intercept let us find the x intercept by plugging 0 in the place of y in the equation.
0=-5/3x-9 2/3
x=29/3x(-3/5)
x=-29/5
x intercept: (-29/5,0)
answers: (0,-9 2/3) and (-29/5,0)
Answer:
Question 1: seems all A,B and C are incorrect
Question 2: long = 45/(3*3) =45/9 =5
