The accompanying graph shows all of the possibilities for the number of refrigerators and the number of TVs that will fit into an 18-wheeler.
Write an inequality to describe this region.
Will the truck hold 71 refrigerators and 118 TVs?
Will the truck hold 51 refrigerators and 176 TVs? The Burbank Buy More decides they will have a television sale so they change their order to include at least 200 TVs. What is the maximum number of refrigerators that could also be delivered in the same truck?
A cashier has a total of 117 bills made up
of ten and hundreds . the total value of the money is 6390.
how much of each kind does he have
no table, so no help on #1
t+h = 117
10t + 100h = 6390
so,
10(117-h) + 100h = 6390
h=58
so, t=59
To write an inequality to describe the region, we can use the following two inequalities:
1. The number of refrigerators (R) plus the number of TVs (T) must be less than or equal to the maximum capacity of the truck:
R + T ≤ Maximum capacity
2. Both the number of refrigerators and the number of TVs must be non-negative:
R ≥ 0, T ≥ 0
Now let's answer the specific questions using this information:
1. Will the truck hold 71 refrigerators and 118 TVs?
To find out, we need to check if the values satisfy the inequalities:
71 + 118 ≤ Maximum capacity (from inequality 1)
Since we don't have the specific maximum capacity value, we cannot determine if the truck will hold them just based on this information.
2. Will the truck hold 51 refrigerators and 176 TVs?
Similarly, we need to check if the values satisfy the inequalities:
51 + 176 ≤ Maximum capacity (from inequality 1)
Again, without knowing the specific maximum capacity, we cannot determine if the truck will hold them.
3. If the Burbank Buy More decides to include at least 200 TVs, what is the maximum number of refrigerators that could be delivered in the same truck?
In this case, we know that the number of TVs is at least 200, so we can rewrite inequality 1 as:
R + 200 ≤ Maximum capacity
This inequality means that the number of refrigerators combined with at least 200 TVs should be less than or equal to the maximum capacity. The maximum number of refrigerators that could be delivered will depend on the specific maximum capacity value.