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tangare [24]
3 years ago
8

the number line at the right models an addition sentence select all the situations below could be modeled by the addition senten

ce.

Mathematics
1 answer:
attashe74 [19]3 years ago
5 0
The first and last one are correct
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Sarah and Bryan went shopping and spent a total of $47.50 Bry an spent $15.50 less than what Sarah spent how much did bryan spen
Bogdan [553]
Since Bryan spent $15.50 less than Sarah, you would start by dividing the total amount they spent together in half.

$47.50 ÷ 2 = $23.75

Then you would take Bryan's 1/2 of the total and subtract $15.50.

$23.75 - $15.50 = $8.25

So, it looks like Bryan spent $8.25.

Check step:

If you add it all back together:

Sarah + Sarah Bryan = Total
$23.75 + $15.50 + $8.25 = $47.50
8 0
3 years ago
* Required
Furkat [3]
B. 19.8

Use the Pythagorean theorem:
14.2^ + x^ = 24.4^
201.64 + x^ = 595.36
x^ = 393.72
x = 19.84
8 0
3 years ago
Need help solving this 10x+32
Usimov [2.4K]
10x+32=0
10x=-32
x=-32/10 or -3.2 or -16/5

8 0
3 years ago
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
4 0
3 years ago
josh's web site had 805,289 visitors. Diego's site had 784,976 visitors. How many more visitors did josh's sit have than Diego's
Trava [24]
Josh's sit had 20,313 more visitors than Diego's.

8 0
3 years ago
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