Answer:
The correct option is B
(-1)(1/2)(-1)(1)
Step-by-step explanation:
First thing to notice is that there is are two brackets with negative values, which means that the result must also be positive (or have two brackets with negative values).
Looking at the options, we can screen out options A and D, they have three brackets with negative values, and can't be chosen.
It is now between options B and C.
Option B, by inspection is simply 1/2
Option C is 12/4 = 3
The problem itself is 12/35
12/24 = 1/2
12/36 = 1/3
Since 12/35 is about 1/3, it is closer to 1/2 than 3, so 1/2 is the best option.
0.19 for one cookie and 0.59 for one doughnut
x for how much one cookie costs and y for how much one doughnut costs
6x+4y=3.5
12x+5y=5.23
solve by substitution: (elimination would work too)
4y=3.5-6x
y=0.875-1.5x
12x+5(0.875-1.5x)=5.23
12x+4.375x-7.5x=5.23
4.5x=0.855
x=0.19
now use x to solve for y:
6(0.19)+4y=3.5
1.14+4y=3.5
2.36=4y
y=0.59
Check the work: 6(0.19)+4(0.59)=3.5
An acute angle has a measure between 0 degrees and 90 degrees.
An obtuse angle has a measure between 90 degrees and 180 degrees.
Answer:
x=-7/9, y=4/3. (-7/9, 4/3).
Step-by-step explanation:
6x+2y=-2
3x-2y=-5
-----------------
9x=-7
x=-7/9
6(-7/9)+2y=-2
-42/9+2y=-2
2y=-2-(-42/9)
2y=-2+42/9
2y=-18/9+42/9
2y=24/9
y=(24/9)/2
y=(24/9)(1/2)
y=24/18
y=4/3
