Victoria spent one-fourth or her birthday money on clothes. It means that the amount she spent on shopping is 1/4 × x = x/4. Amount that she was having left would be x - x/4 = 3x/4

She received another 25$ a week later. The amount that she is having at this point will be 3x/4 + 25

If she has a total of 70$ now, it means that

3x/4 + 25 = 70

Multiplying through by 4

3x + 100 = 280

3x ,= 280 - 100 = 180

x = 180/3 = 60

3 0

3 years ago

the following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 10

Pani-rosa [81]

Answer:

The distance the Bensons had traveled from their home $3\frac{1}{2}$ hours after picking up their grand parents 292.5 miles

Step-by-step explanation:

The given equation for the distance the Benson family traveled from their home can be presented as follows;

d = 55·t + 100

Where;

d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents

t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation

To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;

d = 55·t + 100

When t = $3\frac{1}{2}$ hours, we get;

$d = 55 \times 3\frac{1}{2} + 100 = 292.5 \ miles$

Therefore, the distance the Bensons had traveled from their home $3\frac{1}{2}$ hours after picking up their grand parents = 292.5 miles.

7 0

3 years ago