Answer:
x = 4
Step-by-step explanation:
x + 4(x+5) = 40 (Given)
x + 4x + 20 = 40 (Distribute the 4 into the x and 5)
5x + 20 = 40 (Add like terms)
5x = 20 (Subtract 20 on both sides)
x = 4 (Divide 5 on both sides)
Answer:
The cost of one taco is $0.87 and the cost of one enchilada is $1.16
Step-by-step explanation:
Let the cost of tacos be X
and cost of enchiladas be y
So, by using given data, we have following equations
3X + 2Y = 4.93 (1)
2X + 4Y = 6.38 (2)
So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.
= 2 × ( 3X + 2Y = 4.93) (1)
= 3 × (2X + 4Y = 6.38) (2)
= - (6X + 4Y = 9.86) (1)
= 6X + 12y = 19.14 (2)
= 8Y = 9.28
Y = 9.28 ÷ 8 = 1.16
By putting the value of Y in equation 1, we get
3X + 2(1.16) = 4.93
3X + 2.32 = 4.93
X = 2.61 ÷ 3 = 0.87
Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.
Answer:
x = 4
Step-by-step explanation:
The correct answer is: [C]: " p = 6.25 h " .
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Explanation:
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It is clear that "pay" is a function of "hours worked" ;
So, we can eliminate: "Choice [B]: " h = <span>6.25p" .
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Try, Choice [A]: " </span>p = h + 12.5 " ; and 14.50 ≠ 12.50 ; (12.50 is the amount shown in the table. So, we can already eliminate "Choice [A]".
<span>_____________________________________________
Now that we have eliminated choices [A] and [B];
we are left with choices: [C] and [D]:
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Consider choice [C]: " </span><span>p = 6.25h " ;
</span> when "h = 2" ; does: "p = 12.5" (as shown on table)?? ;
i.e. " 12.5 =? 6.25 * (2) ?? Yes! This choice is a POSSIBILITY.
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Consider choice [D]: " p = 12.5h" .
When "h = 2, does "p = 12.5" (as shown on table)? No!
→ We can see from this very answer choice
(the equation itself) that when "h = 2" ;
the value of "p" is DOUBLE [that of "12.5"].
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The correct answer is: Answer choice: [C]: " <span>p = 6.25 h " .
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Answer:
y= -3.5x+57.5.
Step-by-step explanation:
