Mathematics, 12.11.2019 02:31 Naysa150724

Atotal of 32 students sign up for a kayaking trip. four more seniors (s) sign up than juniors (j). which system of linear equations models this situation? a) s + j = 32 4s + j = 36 b) s + j = 32 s − j = 4 c) s + j = 36 s − j = 32 d) s + j = 36 −s − j = 4

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Answer from: cabieses23

OPTION B

Step-by-step explanation:

Let be "s" the number of seniors that sign up for the kayaking trip and "j" the number of juniors that sign up for the kayaking trip.

According to the information provided in the exercisse, a total of 32 students sign up; this means that the sum of the number of seniors and the number of juniors that sign up for the kayaking trip is 32. Then, you can write the following equation:

s+j=32

"Four more seniors sign up than juniors" indicates that the number of seniors that sign up is the number of juniors plus 4:

s=j+4

Subtracting "j" from both sides, you get:

$s-j=j+4-j\\\\s-j=4$

Therefore, the system of equations that model this situation is:

$\left \{ {{s+j=32} \atop {s-j=4}} \right.$

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

Answer from: Quest

C. because 6÷3=2 so 3 is half of six so 3/6

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