Answer:
4 batches
Step-by-step explanation:
Let
x -----> the number of cups of apples
y -----> the number of cups of mangoes
z -----> the number of cups of Blueberries
w -----> the number of cups of Blackberries
we know that
x/y=3/1 -----> equation A
x/z=3/2 ----> equation B
x/w=3/1 ----> equation C
x+w=16 ----> equation D
Solve the system of equations C and D
x=3w ----> equation C
x+w=16 ----> equation D
Substitute equation C in equation d and solve for w
3w+w=16
4w=16
w=4 cups of Blackberries
Remember that
For 1 batch of the recipe are used 1 cup of Blackberries
so
For 4 cups of Blackberries
The number of batches are
(1)*4=4 batches
Amount of fuel in the tank before the story begins . . . . . zero.
Total amount poured in . . . . . 3/4 gallon.
Total amount burned:
on Friday . . . . . 1/4 gallon
on Sunday . . . . 1/4 gallon
Total used . . 1/2 gallon .
Amount remaining in the tank on Monday:
(3/4 gallon in) - (1/2 gallon burned) = 1/4 gallon left.
==> NOT empty
The tank would have been empty on Monday IF Becky
had poured in only 1/2 gallon, instead of 3/4 of a gallon
before the first flakes began to fly.
Answer:
2 < x < 3
Step-by-step explanation:
Set A)
3x + 4 ≥ 13
3x ≥ 9
x ≥ 3
Set B)
0.5x + 3 ≤ 4
0.5x ≤ 1
x ≤ 2
Plot it out on a number line, and you'll see that 2 < x < 3
