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Fantom [35]
2 years ago
5

Which of the following is a solution of the inequality 2x+6y< 10? *

Mathematics
1 answer:
Vsevolod [243]2 years ago
6 0

Answer: Which of the following ordered pairs is a solution of the inequality 2x + 6y ≤ 10?a. (3, 1) b. (2, 2) c. (1, 2) d. (1, 0)Answer:The correct answer among the choices is letter d. From the following choices of ordered pair, (1, 0) is the set solution of the inequality 2x + 6y ≤ 10. Substituting the given pair order make the inequality a true statement.  To counter check answer, substituting the pair order and solving the linear inequality will result a value to support the correct answer.Step-by-step explanation:a. ( 3,1 ) (x ,y)Substitution2x + 6y ≤ 102(3) + 6(1) ≤ 106 + 6 ≤ 1012  ≤ 10 ( The inequality is False)This is not the correct answer since value to solve for x and y should result to an equal or lesser value than 10.b. (2, 2) (x ,y)Substitution2x + 6y ≤ 102(2) + 6(2) ≤ 104 + 12 ≤ 1016  ≤ 10 ( The inequality is False)This is not the correct answer since value to solve for x and y should result to an equal or lesser value than 10.c. (1, 2) (x ,y)Substitution2x + 6y ≤ 102(1) + 6(2) ≤ 102 + 12 ≤ 1014  ≤ 10 ( The inequality is False)This is not the correct answer since value to solve for x and y should result to an equal or lesser value than 10.d. (1, 0) (x ,y)Substitution2x + 6y ≤ 102(1) + 6(0) ≤ 102 + 0 ≤ 102 ≤ 10 ( The inequality is True)The statement states that 2 is lesser than or equal to 10.

Step-by-step explanation:

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Irina-Kira [14]

Answer:

A no. ans is 17a/20

B no. ans is 10c-7d/35

C no. ans is +1/−1⋅2/2⋅−1⋅3/2⋅−1⋅4

<h2>I only know this much answer.</h2><h3>Sorry. but hope this is helpfull.</h3>

8 0
2 years ago
A spacecraft travels at a speed of 5 x 10^4 miles per day. How long will it travel in 1.5 x 10^2 days?
Dimas [21]

Answer:

7.5 \times 10^6 miles

Step-by-step explanation:

(5\times 10^4)\times (1.5 \times 10^2)=\\(5\times 1.5) \times (10^4 \times 10^2)=\\7.5 \times 10^6

Hope this helps!

6 0
3 years ago
Describe the number of solutions for each system of equations graphed<br> below
abruzzese [7]
The solution of the system of equations means that following:
1- In case we are dealing with system of equations, the solution would be the point of intersection of the two graphs
2- In case we're dealing with only one equation, the solution would be the points of intersection of the graph with the x-axis

Graph (a):
The graph is for a system of equations (two lines). Therefore, the solution would be the point of intersection of the two lines.
From the graph, we can note that there is only one point of intersection between the two lines (-3,-1). Therefore, the system of equations has only one solution

Graph (b):
The graph is for a system of equations (two lines). Therefore, the solution would be the point of intersection of the two lines.
From the graph, we can note that the two lines are parallel. This means that they will never intersect. Therefore, the system of equations has no solutions

Graph (c):
The graph is for a single line. Therefore, the solution(s) would be the point(s) that make the overall equation equal to zero, i.e. point(s) of intersection with the x-axis.
From the graph, we can note that the line intersects with the x-axis only once at point (2,0). This means that the line has only one solution.

Hope this helps :)

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3 years ago
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3 years ago
Identify the reciprocal of each number. Type it in the blank, using a slash () to show a fraction,
amid [387]

Answer: 6/5

Step-by-step explanation:

When finding the reciprocal, we essentially just "flip" or take the inverse of the number we are given. For example, the reciprocal of 1/2 would be 2/1 or 2. The given number multiplied by the reciprocal should always equal 1. If it does, then we know we are correct.

In this case, we are finding the reciprocal of 5/6, so we "flip" the numerator and the denominator to get 6/5.

To check our work, we need to multiply our original number and its reciprocal.

5/6 x 6/5 = 30/30 = 1

Now, we know we are correct, that the reciprocal of 5/6 is 6/5.

4 0
2 years ago
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