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ELEN [110]
3 years ago
14

50 POINTS!!!!!

Mathematics
2 answers:
Sindrei [870]3 years ago
6 0
(11,3) Becuase when you plug it in, 11,3 satisfies the equation.
Nadya [2.5K]3 years ago
4 0
<span>p – q = 8
2p – q = 19

</span><span>(p – q = 8)*(-1)   
2p – q = 19

</span><span>-p +q = -8
2p – q = 19   adding these 2 equations 

p=19-8, p=11,

p-q=8,   11-q=8,   q=3    solution  (11,3)</span>
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A company that rents small moving trucks wants to purchase 25 trucks with a combined capacity of 28,000 cubic feet. Three differ
pickupchik [31]

Answer:

We have 4 solutions:

  • No 10-foot truck, 10  14-foot trucks, and 15 24-foot trucks
  • 2 10-foot trucks, 7 14-foot trucks, and 16 24-foot trucks
  • 4 10-foot trucks, 4  14-foot trucks, and 17 24-foot trucks
  • 6 10-foot trucks, 1 14-foot trucks, and 18 24-foot trucks

Step-by-step explanation:

Let the number of 10-foot truck with a capacity of 350 cubic feet purchased=a

Let the number of 14-foot truck with a capacity of 700 cubic feet purchased=b

Let the number of 24-foot truck with a capacity of 1,400 cubic feet purchased=c

The company wants to purchase 25 trucks, therefore.

  • a+b+c=25

Furthermore, the combined capacity of the trucks is 28,000 cubic feet.

  • 350a+700b+1400c=28000

Since the number of equations is less than the number of variables, you can not use a matrix equation to solve this problem.  The solution is most easily found using an augmented matrix.  

The augmented matrix is presented below:  

\left[\begin{array}{ccc|c}1&1&1&25\\350&700&1400&28000\end{array}\right]

Using the calculator, the reduced row echelon form is:

\left[\begin{array}{ccc|c}1&0&-2&-30\\0&1&3&55\end{array}\right]

where  

a- 2c=-30 means a =2c-30

b+3c=55 means b= 55-3c

We alter the value of c as long as neither a nor b becomes negative. Suitable values for c are 15, 16, 17, and 18:

\left|\begin{array}{|c||c||c|}a=2c-30&b=55-3c&c\\0&10&15\\2&7&16\\4&4&17\\6&1&18\end{array}\right|

We can easily  verify that, for each solution, the number of trucks adds up to 25 and the fleet capacity is 28,000 cubic feet.

We therefore have 4 solutions:

  • No 10-foot truck, 10  14-foot trucks, and 15 24-foot trucks
  • 2 10-foot trucks, 7 14-foot trucks, and 16 24-foot trucks
  • 4 10-foot trucks, 4  14-foot trucks, and 17 24-foot trucks
  • 6 10-foot trucks, 1 14-foot trucks, and 18 24-foot trucks
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Wewaii [24]
Instead of adding more fraction strips you would take some away to get a smaller number.
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Which of the following options is a better purchase for a microwave?
hichkok12 [17]
Option 1: $120
Option 2: $155
Option 3: $130
Option 4: $135

So B. Option 1 is the better purchase
7 0
3 years ago
Simplify the following expression: 8x − 8y + 5z − 3x − 14y + 3z
RideAnS [48]
The answer is C. 5x - 22y + 8z
3 0
3 years ago
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What is the slope of the line 4x – 2y = 5?<br><br> –4<br> –2<br> 2<br> 4
Grace [21]

Answer:

It is 2.

Step-by-step explanation:

The equation becomes -2y=-4x=5

But you divide by -2 to get y solo. So -4/-2=2.

7 0
3 years ago
Read 2 more answers
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