9514 1404 393
Answer:
3/5 cup of fruit
Step-by-step explanation:
Dave is making 3 times his grandmother's recipe, so for 3 × 1/3 cup of nuts, he needs 3 × 1/5 cup of fruit:
3/5 cup of fruit for 1 cup of nuts
For this case what you should do is follow the following transformation:
(x, y) ---> k (x, y) ---> (kx, ky)
Applying the transformation to the ordered pair we have:
(15, -9) ---> 3 (15, -9) ---> ((3) * (15), (3) * (- 9)) ----> (45, -27)
Answer:
its new location is:
(45, -27)
Let the number of seats of the smaller van be "x". Since it travels two times in the morning, it will be 2x. The bigger van has 14 more seats than the small one, so it will be x + 14. To find the value of x, the formula would be,
65 = 2x + x + 14
65 = 3x + 14
65 - 14 = 3x
51 = 3x
51/3 = x
17 = x
The value of x is 17.
Van A = 17 seats + 14 seats = 31 seats
Van B = 2 (17 seats) = 34 seats
Van A has 31 seats for 31 people for a single trip.
Van B has 17 seats, and since it has two trips, it can transport 34 people.
Answer: you bought 9 burgers and 16 tacos
Step-by-step explanation:
Let x represent the number of burgers that you bought.
Let y represent the number of tacos that you bought.
You buy a total of 25 burgers and tacos. It means that
x + y = 25
The burgers cost $3.50 each and the tacos cost $2.25 each. The total cost of the burgers and tacos that you bought is $67.50. It means that
3.5x + 2.25y = 67.5- - - - - - - - - - - - 1
Substituting x = 25 - y into 1, it becomes
3.5(25 - y) + 2.25y = 67.5
87.5 - 3.5y + 2.25y = 67.5
- 3.5y + 2.25y = 67.5 - 87.5
- 1.25y = - 20
y = - 20/ - 1.25
y = 16
x = 25 - y = 25 - 16
x = 9
