Answer:
480 different sandwiches
Step-by-step explanation:
To find how many sandwiches can be made, we need to find the number of possibilities for each choice: bread, protein, cheese, vegetables.
Bread: 3 types -> combination of 3 choose 1 -> 3
Protein: 4 types -> combination of 4 choose 1 -> 4
Cheese: 4 types -> combination of 4 choose 1 -> 4
Vegetables: 5 types -> combination of 5 choose 2 -> 5!/(3!*2!) = 5*4/2 = 10
So the number of different sandwiches is:
3 * 4 * 4 * 10 = 480
The number 7 cannot be used to write related number sentences because it wouldn't fit into the equation & make it true.
9 + 5 = 14
5 + 9 = 14
14 - 5 = 9
14 - 9 =5
Nowhere in any of these equations can the #7 go in, & make these number sentences true.
Hope this helps & makes sense ! (:
Answer:
The length would be 30 and the width would be 20
Step-by-step explanation:
For the purpose of this, we'll set the width as x. We can then define the length as x + 10 since we know it is 10 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.
P = 2l + 2w
100 = 2(x + 10) + 2(x)
100 = 2x + 20 + 2x
100 = 4x + 20
80 = 4x
20 = x
Now since we know that the width is 20ft, we can add 10ft to it to get the length, which would be 30ft.
The solution to the given system of equation is (3, 3, 3)
<h3>Solving system of equations</h3>
Given the following system of equation expressed as:
2x-y+5z=16
X-6у +2z=-9
3x+4y- z=32
Multiply equation 2 by 2 to have:
2x-y+5z=16
2X-12у +4z=-18
Subtract
10y+z = 34 .........4
Similarly
3X-18у +6z=-27
3x+4y- z=32
Subtract
-22y+7z = -59 ........... 5
Equate 4 and 5
10y+z = 34 .........4 * 7
-22y+7z = -59 ........... 5 * 1
_______________________
70y+7z = 238
-22y+7z = -59
Subtract
92y = 297
y = 3
Recall that
10y+z = 34
10(3) + z = 34
z = 3
Since x - 6y +2z = -9
x-6(3)+2(3) = -9
x - 18 + 6 = -9
x = 3
Hence the solution to the given system of equation is (3, 3, 3)
Learn more on system of equation here: brainly.com/question/25976025
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Answer: 91
Step-by-step explanation:
10x4 =40
1x3 = 3
40+3+48=91