Answer:6
Step-by-step explanation: PQRS is 2x the size of ABCD
the number is 100
Step-by-step explanation:
1/4 of hundred = 25
2/4 of hundred = 50
3/4 of hundred = 75
4/4 of hundred = 100
There are 16 on each layer and 96 in total
You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).
Multiply by 12
... 4(x -1) +3(x +5) = 6
... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses
... 7x +11 = 6 . . . . . . . . . . . .collect terms
... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11
... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient
_ _ _ _ _ _ _
Here it is the other way.
... x(1/3 +1/4) +(-1/3 +5/4) = 1/2
... (7/12)x + 11/12 = 1/2 . . add the fractions to finish collecting terms
... x + 11/7 = 6/7 . . . . . . . multiply by 12/7
... x = -5/7 . . . . . . . . . . . subtract 11/7
At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.
Answer:
37.25, 35.5, 33.75, <u>32</u>, <u>30.25</u>.
Step-by-step explanation:
Subtract the first term from the second term:
35.5 - 37.25 = -1.75
Subtract the second term from the third term:
35.5 - 33.75 = -1.75
The common difference is -1.75.
To find each subsequent term, add the common difference to the current term.
33.75 + (-1.75) = 32
32 + (-1.75) = 30.25
Answer:
37.25, 35.5, 33.75, <u>32</u>, <u>30.25</u>.
