Answer:
the ratio in lowest terms is: 7 knives to 8 spoons = 7/8
Step-by-step explanation:
First express the ratio 105 knives to 120 spoons as the quotient:

next write each of the numbers in prime-factor form:
105 = 3 x 5 x 7
120 = 2 x 2 x 2 x 3 x 5
Now notice that when we express the quotient sing the factor form of the numbers, the factor 3, and 5 can be cancelled out because they appear in numerator an in denominator at the same time. therefore our quotient becomes:

Therefore the ratio in lowest terms is: 7 knives to 8 spoons
Answer:
11a + 13c -b - 36
Step-by-step explanation:
We add all the sides together because we're looking for perimeter.
Answer: Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3 =45 hours.
Step-by-step explanation:
Given : Duration of Tina practiced piano last month= 15 hours
Duration of Tina practiced piano this month= 45 hours
We can see 45 is a multiple of 15 such that 
Therefore, Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3= 45 hours.
Answer:
A is
Step-by-step explanation:
You would transform 5x + 2x into the same term with the associative property, adding like terms. If you subsitute the different values into the expressions you notice that both have a rate of change of 7 like an arithmetic sequence. To see if any value will make the two expressions equal you make them equal to each other.
5x + 2x = 7x -1
7x = 7x - 1
0 = -1
No they will never have be a solution to both expressions to make them equal because they're parallel to each other.