Answer:
The rental cost for Company A and Company B will be the same after 500 miles
Step-by-step explanation:
The total cost of renting a truck from Company A can be expressed as;
Total rental cost(Company A)=Cost per day+Total rate
where;
Cost per day=70
Total rate=rate per mile×number of miles (m)=(0.5×m)=0.5 m
replacing;
Total rental cost(Company A)=70+0.5 m...equation 1
2. The total cost of renting a truck from Company B can be expressed as;
Total rental cost(Company B)=Cost per day+Total rate
where;
Cost per day=20
Total rate=rate per mile×number of miles (m)=(0.6×m)=0.6 m
replacing;
Total rental cost(Company B)=20+0.6 m...equation 2
Equating equation 1 to equation 2
70+0.5 m=20+0.6 m
0.6 m-0.5 m=70-20
0.1 m=50
m=50/0.1
m=500 miles
The rental cost for Company A and Company B will be the same after 500 miles
A rectangular floor covered without overlaps or gaps by 7 identical tiles, each of the length l and with w. If the w=12 ft, what is the total area of the floor?
<h3>Equation : x + y = 170 and y = 2x - 40</h3><h3>The weight of Bill is 70 pounds and weight of mark is 100 pounds</h3>
<em><u>Solution:</u></em>
Let the weight of Bill be "x"
Let the weight of mark be "y"
Given that,
Mark and Bill have a combined weight of 170 pounds
Therefore,
x + y = 170 ------- eqn 1
Mark weighs 40 pounds less than twice Bill's weight
y = 2x - 40 ------- eqn 2
<em><u>Substitute eqn 2 in eqn 1</u></em>
x + 2x - 40 = 170
3x = 170 + 40
3x = 210
x = 70
<em><u>Substitute x = 70 in eqn 2</u></em>
y = 2(70) - 40
y = 140 - 40
y = 100
Thus weight of Bill is 70 pounds and weight of mark is 100 pounds
