1. The Associative Property of Addition.
Both equations equal 28.
2. The equations are not equal.
Answer:
60mph
Step-by-step explanation:
Answer:
A = 1.125
Step-by-step explanation:
A = lw
l =1.5
and w =.75
A= 1.5* (.75)
A = 1.125
Answer:
The father is 35years old and the son Tom is 15years old
Step-by-step explanation:
Let the father's be y
Let Tom's age be T
5 years ago:
The father's age is: y — 5
Tom's age:
T— 5.
But Tom's age was one third the father's age. This is written as:
T — 5 = 1/3(y — 5)
3(T — 5) = y — 5
3T — 15 = y — 5
3T — y = — 5 + 15
3T — y = 10 (1)
In 5years time:
The father's age is:
y + 5
Tom's age:
T + 5
But in 5years time, Tom will be half as old as his father. This is written as:
T + 5 = 1/2(y + 5)
2(T + 5) = y + 5
2T + 10 = y + 5
2T — y = 5 — 10
2T — y = — 5 (2)
Therefore, the equations are
3T — y = 10 (1)
2T — y = — 5. (2)
Solving by elimination method:
Subtract equation (2) from (1)
3T — y = 10
— (2T — y = — 5)
T = 15
Substituting the value of T into equation (1)
3T — y = 10
3(15) — y = 10
45 — y = 10
45 — 10 = y
y = 35
Therefore,
The father is 35years old and the son Tom is 15years old
The first step is finding the height of the cake. The formula for the volume of a box: Volume= length x width x height. So given the volume and length and width: 100= 9 x 11 x h. 100=99h and solve for h. h= 1.01 inches so the batter is more than one inch thick. That means that the matter needs to be baked at 350 degrees Fahrenheit. The formula to convert from Fahrenheit to Celsius: T(C)= (T(F)-32) x (5/9). So (350-32) x (5/9) = 176.667. Rounded to the nearest whole number is 177 degrees celsius.
