Answer:
x = 1.25 represented the price of the snacks which Hannah buys each day .
Step-by-step explanation:
As given
Hannah spends $4.50 each day to buy lunch at her school.
After school each day, she buys the same snack.
Hannah spends $28.75 for lunch and snacks each week.
The equation and solution model the situation. 5(4.50 + x) = 28.75 : x = 1.25
Here x = 1.25 represented the price of same snack which Hannah buys each day .
Therefore x = 1.25 represented the price of the snacks .
Answer: the length of the first piece is 35 inches.
the length of the second piece is 105 inches.
the length of the third piece is 210 inches.
Step-by-step explanation:
Let x represent the length of the first piece.
Let y represent the length of the second piece.
Let z represent the length of the third piece.
The second piece must be 3 times as long as the first one. This means that
y = 3x
x = y/3
The third piece must be twice as long as the second. This means that
z = 2y
The student has 350 inches of wire to make the three pieces. This means that
y/3 + y + 2y = 350
Cross multiplying by 3, it becomes
y + 3y + 6y = 1050
10y = 1050
y = 1050/10
y = 105
x = y/3 = 105/3
x = 35
z = 2y = 2 × 105
z = 210
The LCM is Least Common Multiple, it is the product of the highest order of occurring primes in the numbers prime factorization...
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