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Jade has $451. 89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358. 92 left in her account. Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options. 451. 89 minus c = 358. 92 451. 89 minus 3 c = 358. 92 358. 92 3 c = 451. 89 358. 92 c c c = 451. 89 c = 3 (451. 89 minus 358. 92).

Sagot :

The equation from the given equations, representing c, the amount of one check(for the given condition), in dollars is given by: Option C: [tex]358.92 + 3c = 451.89[/tex]

How to interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  [tex]a \div b[/tex] = a divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])

For the given case, the amount those 3 checks together have is the difference in Jade's account's initial and final balance.

Amount deducted by 3 checks = $451.89 - $358.92

Amount of all 3 checks is $c

Thus, total of their amount = $(c + c + c) = 3c

Thus, we get:

[tex]3c = 451.89 - 358.92\\\\\text{Dividing both the sides by 3}\\\\c = \dfrac{451.89 - 358.92}{3} \text{\: (in dollars)}\\or\\\\358.92 + 3c = 451.89[/tex]

Thus, the equation from the given equations, representing c, the amount of one check(for the given condition), in dollars is given by: Option C: [tex]358.92 + 3c = 451.89[/tex]

Learn more about division here:

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