Ginny went to the store with a gift card. she spent 2/5 of the amount of her gift card. then she spent $15 more of the money on the card. her mom gave her $25 in cash. then she spent 1/2 the total amount she had. she had a total of $14 left to spend. how much was on ginnys gift card.

Step-by-step explanation: Let us assume amount of gift card = $x.

Mother gave cash amount = $25.

Total amount Ginny had including gift card = x+25.

She spent 2/5 of the gift cards, that is 2/5 of x that is 2/5 x.

Another spent amount on the card= $15.

Remaining amount of card = x - 2/5x -15 .

Total amount she had after getting $25 cash from mother = x - 2/5x -15 + 25

= x-2/5x +10.

She spent 1/2 of (x-2/5x +10).

So, the remaining amount = $14.

Therefore,

Multiplying both sides by 2, we get

Multiplying each term by 5 to get rid 5 denominator.

5 \times (x-\frac{2}{5}x+10) = 5 \times 28.

5x -2x +50 = 140

3x +50 = 140.

Subtracting 50 from both sides, we get

3x +50-50 = 140-50

3x= 90

Dividing both sides by 3, we get

3x/3 = 90/3

x = 30.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.