Answer:
2/3(3/4x-3/2) = 1/2x-1
(2x+1) - (x+3/2) = x - 1/2
Step-by-step explanation:
1) Distribute 2/3 to both 3/4x and -3/2
2/3(3/4x) = 6/12x which can be simplified as 1/2x
2/3(-3/2) = -6/6 which simplifies to -1
2/3(3/4x-3/2) = 1/2x-1
2) (2x+1) - (x+3/2) combine like terms
2x-x = x
1 - 3/2= 1- 1 1/2 ( change 3/2 into an improper fraction. 2 goes into 3 one time with one left over. Place the “leftover” back on top of the original denominator of 2)
1- 1 1/2 = -1/2, so
(2x+1) - (x+3/2) = x - 1/2
Answer: 6 on the extreme left has the place value 6000; the next 6 has the value 600; the next, 60; and the last, 6. The numeral for every whole number stands for a sum. 364 = 3 Hundreds + 6 Tens + 4 Ones. Hope this helps!
Step-by-step explanation:
Answer:
Lina's solution is correct because it expresses 126 as a product of prime factors.
Step-by-step explanation:
Prime factorization can be defined as a methodology of breaking down an original number down into the set of prime numbers which when multiplied together give us the original number.
Prime factorization makes use of a factor tree
The number we are to carry out prime factorization on is 126
126
/\
3 42
/\
6 7
/\
2 3
The Prime Factorization is:
2 x 3 x 3 x 7
Hence, Lina's factor tree of 126. 126 branches to 3 and 42. 42 branches to 6 and 7. 6 branches to 2 and 3. The equation is 126
= 2 times 3 squared times 7.
Is correct.
Answer:
Step-by-step explanation:
Both are quadrilaterals. A trapezoid has one pair of parallel sides, whereas a parallelogram has two pairs of parallel sides. Nothing is specified about the other two sides do a trapezoid. It is possible that this pair is also parallel, in which case the shape is also a parallelogram.