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tatiyna
2 years ago
12

The sum of two numbers is 262. The difference of those same two numbers is 172. Which answer choice shows both numbers?

Mathematics
1 answer:
STatiana [176]2 years ago
8 0

Answer:

A = 217

B = 45

Step-by-step explanation:

A+B = 262

A - B = 172

A = 172 + B

172 + B + B = 262

2B = 90

B = 45

A = 172 + (45)

A = 217

HOPE THIS HELPS!!!!

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Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}
kompoz [17]

Answer:

The ordered pair (-2,\, -4) is indeed a solution to the system:

\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right..

Step-by-step explanation:

Consider a system of equations about variables x and y. An ordered pair (x_{0},\, y_{0}) (where x_{0} and y_{0} are constant) is a solution to that system if and only if all equations in that system hold after substituting in x = x_{0} and y = y_{0}.

For the system in this question, (-2,\, -4) would be a solution only if both equations in the system hold after replacing all x in equations of the system with (-2) and all y with (-4).

The \texttt{LHS} of the equation y = (1/2)\, x - 3 would become (-4). The \texttt{RHS} of that equation would become (1/2) \, (-2) - 3. The two sides are indeed equal.

Similarly, the \texttt{LHS} of the equation y = -2\, x - 8 would become (-4). The \texttt{RHS} of that equation would become (-2)\, (-2) - 8. The two sides are indeed equal.

Thus, x = (-2) and y = (-4) simultaneously satisfy both equations of the given system. Therefore, the ordered pair (-2,\, -4) would indeed be a solution to that system.

8 0
2 years ago
What is the solution of |3x+9|≤15<br><br> answer choices v
e-lub [12.9K]

Answer:

-8<x<2


Step-by-step explanation:


5 0
2 years ago
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What is 1 inch to 6 feet
docker41 [41]

Answer:

6 feet 1 inches in cm =

185.42 cm

7 0
3 years ago
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PLEASE ANSWER QUICK!!
Citrus2011 [14]

Answer:

A)  B is greater

B) when C = 21, A = 5 and B = 15

C) A must be 0, 5, or 12 for C to be greater than B

Step-by-step explanation:

A)  when a = -3, c = -20 and b = 4(-3)-5 so B = -17

B) when c = 21, a = 5 and b = 4(5)-5 so B = 15

C) C is greater than B when a = 0, 5, and 12

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when a = 5, b = 4(5)-5 or 15

when a = 12, b = 4(12)-5 or 43

3 0
2 years ago
Express each number in its simplest radical form. <br> √6⋅√60=?
Tom [10]

Answer:

6√10

Step-by-step explanation:

factorizing 6 and 60

6 =  2 x 3

60 = 2 x 2 x 3 x 5

hence

√6 · √60

= √ [ (2 x 3) · (2 x 2 x 3 x 5) ]

= √ (2· 2² · 3² · 5)

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= (2 · 3) x √10

= 6√10

5 0
3 years ago
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