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galben [10]
2 years ago
12

Cary is 9 years older than Dan. In 7 years, the sum of their ages will equal 93. Find both of their

Mathematics
1 answer:
a_sh-v [17]2 years ago
3 0
Cary's age is 9 years MORE than Dan's age.
Cary's age is Dan's age, but with 9 more years added to that.
Here is how we can express that,
\rm C=D+9
In 7 years, Cary will be C+7 years old,
and Dan will be D+7 years old.
In 7 years, the sum of their ages,
(C+7) and (D+7) will equal 93.

Here is how we can express that:
\rm (C+7)+(D+7)=93

You have a system of two equations involving two unknowns. You have a couple of nice options here. You can apply substitution or elimination to complete the problem.
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X=3 is a factor of x^3+3x^2-7x+19.
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52

Step-by-step explanation:

3^3+3(3)^2-7(3)+19

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3 years ago
A company has offices in two different countries. The 125 employees at location A have a mean commute time of 40 minutes and a s
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B

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3 years ago
Each side of a square sticky note is 9 centimeters long. What is the sticky note's area?
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4 0
3 years ago
Solve using Substitution y = 6x - 11 -2x - 3y = -7
vladimir2022 [97]

Answer:

(2, 1)

Step-by-step explanation:

To solve by substitution, we solve one equation for one of its variables and then substitute the solved value for that variable into the other equation. Because this system of equations already has one solved for the variable, this makes our job much easier. We only need to implement the solved value for y into the other equation and solve for x.

y = 6x - 11

-2x - 3(6x - 11) = -7 Distribute.

-2x - 18x + 33 = -7 Combine like terms.

-20x + 33 = -7 Subtract 33 from both sides of the equation.

-20x = -40 Divide by -20 on both sides of the equation.

x = 2

Then, with this value, we will place it into the equation that was already solved for y in order to get a definite value for y.

y = 6(2) - 11

y = 12 - 11

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Using this information, the coordinate pair for this equation (the point of intersection between the two lines) is (2, 1).

4 0
3 years ago
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