Which size bottle of ketchup is the best deal with the lowest unit price?

Mathematics

1 answer:

tresset_1 [31]3 years ago

8 0

The answer is 18 oz the others come out to below .3 per ounce but the 18 comes out to 30 cents an ounce

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For each ordered pair (x,y) determine whether it is a solution to the inequality 7x+2y>_26

MA_775_DIABLO [31]

The inequality is given as,

$7x+2y>-26$

Consider that any ordered pair (x,y) is said to be the solution of the inequality if the ordered pair gives a true result when substituted in the inequality.

Consider the ordered pair (4,-9),

$\begin{gathered} 7(4)+2(-9)>-26 \\ 28-18>-26 \\ 10>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (4,-9) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (4,-9).

Consider the ordered pair (3,4),

$\begin{gathered} 7(3)+2(4)>-26 \\ 21+8>-26 \\ 29>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (3,4) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (3,4).

Consider the ordered pair (-4,0),

$\begin{gathered} 7(-4)+2(0)>-26 \\ -28+0>-26 \\ -28>-26 \end{gathered}$

Clearly, the result is false as -28 is not actually greater than -26.

So it can be concluded that the ordered pair (-4,0) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-4,0).

Consider the last ordered pair (-6,8),

$\begin{gathered} 7(-6)+2(8)>-26 \\ -42+16>-26 \\ -26>-26 \end{gathered}$

Note that the numbers on both sides of the inequality are identical. So there should be the symbol of equality, not inequality. So, it can be concluded that this ordered pair (-6,8) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-6,8).

4 0

1 year ago

The sum of three numbers is 88 . The first number is 7 less than the second. The third number is 3 times the second. What are th

icang [17]

88 = X +(x-7)+3X

88=5X-7

95 = 5X

X=19

1st number = 12

2nd number = 19

3rd number = 57