Let s and a represent the position of Sal and Amir respectively.
s=.75+4.5t and a=-.25+6.7t
When Sal catches Amir, s=a so we can say.
-.25+6.7t=.75+4.5t subtract 4.5t from both sides
-.25+2.2t=.75 add .25 to both sides
2.2t=1 divide both sides by 2.2
t=5/11 hours
t≈0.45 hours (to nearest hundredth of an hour)
Answer:
Mrs. Wright's paycheck is $630
Step-by-step explanation:
Let x = Mrs. Wright's paycheck.
Mrs. Wright spent 2/9 of her paycheck on food. This means that the amount of money spent on food is 2/9 × x = 2x/9
She spent 1/3 on rent. This means that the amount spent on rent is
1/3 ×x x = x/3
Amount she spent on food and rent is x/3 + 2x/9 =3x + 2x /9
= 5x/9
The remainder is her pay check - the amount that she spent on food and rent. It becomes
x - 5x/9 = (9x- 5x)/9 = 4x/9
She spent 1/4 of the remainder on transportation. It means that she spent 1/4 × 4x/9 = x /9 on transportation.
Amount left = 4x /9 - x/9= 3x/9
She had $210 left. Therefore,
210 = 3x/9
3x = 9×210 = 1890
x = 1890/3
x = $630
Answer:
we kind of need to see the diagram
Step-by-step explanation:
