Answer:
The numbers are 8 , 5 , 1
Step-by-step explanation:
Let the three numbers be x,y,z
Sum of three numbere is 14
⇒ x +y + z = 14 ---------------(I)
The sum of twice the first number, 4 times the second number, and 5 times the third number is 41.
⇒ 2x + 4y + 5z = 41 -----------(II)
The difference between 7 times the first number and the second number is 51.
⇒ 7x -y = 51 ---------------(III)
Multiply equation (I) by (-5) and then add this wiht equation (II). Thus 'z' will be eliminated.
(I)*(-5) -5x - 5y - 5z = -70
(II <u> 2x + 4y + 5z = 41</u> {Now add}
-3x - y = - 29 ------------(IV)
Multiply (III by (-1) and then add it with equation (IV)
(III)*(-1) -7x + y = -51
(IV) <u> -3x - y = -29 </u> {Now add}
-10x = -80
x = -80 ÷ (-10)
x = 8
Plugin x = 8 in equation (III) and we obtain the value of y
7*8 - y = 51
56 - y = 51
-y = 51 - 56
-y = -5
y = -5 ÷ (-1)
y = 5
Plugin x =8 and y =5 in equaiton (I)
8 + 5 + z = 14
13 + z = 14
z = 14 - 13
z = 1
ven numbers always end with a digit of 0, 2, 4, 6 or 8.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 are even numbers.
Odd numbers always end with a digit of 1, 3, 5, 7, or 9.
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 are odd numbers.
first option is correct
have a nice day
Hi the picture has the answer and work, if you have any questions feel free to ask!!
9. A. -1/4
Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.
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800= about 1.76 lbs
700= about 1.54 lbs
(there are about 453.5 grams in a pound