Answer:
There are 36 peanuts in the bag.
Step-by-step explanation:
4 over 3;48 over x. 4x12=48 so 3x12=36
Answer:
2/8 is one-half as much as 1/2
Step-by-step explanation:
Change the denominators to the same number.
2/8 is already okay
1/2=4/8
now
2/8 would be one-half as much as 4/8
Answer:
Step-by-step explanation: X and Y represent the digits.
The tens digit is twice the units digit.
The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.
10x +y 10y +x are Original & Reversed numbers
X = 2y means the Tens digits is twice the units digit.
10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.
Substitute 2y for x to solve for y
10y +2y +2= 10(2y) + y -34
Distribute and combine like terms
12y + 2 = 20y +y - 34
34 +2 = 21y -12y
36 = 9y Divide both sides to find the value of y.
4 = y
X = 2(4) Substitute 4 for y to find x
X = 8
Original number: 84 Reversed number: 48
Substitute into equation model
48 +2= 84 -34
50 = 50
True!
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
1
,
3
)
,
(
−
3
,
−
5
)
(
1
,
3
)
,
(
-
3
,
-
5
)
Equation Form:
x
=
1
,
y
=
3
x
=
1
,
y
=
3
x
=
−
3
,
y
=
−
5
