9514 1404 393
Answer:
1.67 m, 8.33 m
Step-by-step explanation:
If the ratio of lengths is 1 : 5, then the ratio of the shortest length to the total is ...
1 : (1+5) = 1 : 6
The shortest length is (10 m)×(1/6) = 1.67 m. The longer length is 10 -1.67 = 8.33 m.
The lengths of the pieces are 8.33 m and 1.67 m.
Answer:
x = 2y − 2
Step-by-step explanation:
x + y + 5 = 2x - y + 7
−x + y + 5 = −y + 7
−x + 5 = −2y +7
−x = −2y + 2
x = 2y − 2
Answer:
Small gift: $2
Large gift: $7
Step-by-step explanation:
Let x represent cost of wrapping each small gift and y represent cost of wrapping each large gift.
We have been given that day one 41 small gifts were wrapped and 45 large were wrapped equaling $397.
We can represent this information in an equation as:

We are also told that day two 30 small gifts were wrapped and 47 large were wrapped equaling $389. We can represent this information in an equation as:
From equation (1), we will get:

Upon substituting this value in equation (2), we will get:










Therefore, cost to wrap a large gift is $7.
Upon substituting
in equation
, we will get:




Therefore, cost to wrap a small gift is $2.
Answer:
x = - 4
Step-by-step explanation:
Given
x + 4 =
x
Multiply through by 3 to clear the fractions
5x + 12 = 2x ( subtract 2x from both sides )
3x + 12 = 0 ( subtract 12 from both sides )
3x = - 12 ( divide both sides by 3 )
x = - 4