9514 1404 393
Answer:
Step-by-step explanation:
The equations need to match the problem statements. If we let C and S represent the costs of Cherry and Sweet potato pies, respectively, then the revenue from each sale can be expressed as an equation.
1 cherry and 7 sweet potato for $114 ⇒ C +7S = 114
14 sweet potato and 11 cherry for $309 ⇒ 11C +14S = 309
Note that we have used C and S in the second equation in the same order as they appeared in the first equation, even though the problem statement has that order reversed. This facilitates solving the equations using elimination or Cramer's rule.
These equations match Option 4.
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The cost of a cherry pie can be found by eliminating S from the equations. We can do that by subtracting twice the first equation from the second:
(11C +14S) -2(C +7S) = (309) -2(114)
9C = 81 . . . . . simplify
C = 9 . . . . . . . divide by 9
The cost of each cherry pie is $9.
An inequality is also an algebraic equation. However, instead of '=' sign, it uses either of these: <, >, ≤, ≥. To translate: <span>X differs from 2 by more than 3, that would be:
2 - x > 3
We use the '>' equation because the open area should face the larger value. Solving the equation:
-x > 3 - 2
-x > 1
x > -1</span>
<h3>
<em><u>Answer:-6 divided by ( - 2/3) times(-5)</u></em></h3>
<h3>
Step-by-step explanation:-<em><u>45 </u></em></h3><h3><em><u /></em></h3><h3>
Negative Six divided by negative two thirds times negative five equals -45 ... O_O</h3>
Answer:
Slope is undefined
Step-by-step explanation:
Answer:
Step-by-step explanation:
You need to set up a ratio for the original recipe and then use that ratio for the new one.
If we need 3 cups of flour for every 4 cups of sugar, we have a 3 c flour/4 c sugar ratio, or 3/4
The new ratio is 9 c of flour for ? c of sugar. Those ratios have to be the same, so we set up an equation like this:
3/4 = 9/?
In order to keep the same ratio, you have to multiply by the same number. Since 3*3 = 9, multiply 4*3 to get your answer.
