Answer:
- (-16x² +10x -3) +(4x² -29x -2)
- (2x² -11x -9) -(14x² +8x -4)
- 2(x -1) -3(4x² +7x +1)
Step-by-step explanation:
I find it takes less work if I can eliminate obviously wrong answers. Toward that end, we can consider the constant terms only:
- -3 +(-2) = -5 . . . . possible equivalent
- -10 -5 = -15 . . . . NOT equivalent
- 3(-5) -2(5) = -25 . . . . NOT equivalent
- -9 -(-4) = -5 . . . . possible equivalent
- -7 -(-5) = -2 . . . . NOT equivalent
- 2(-1) -3(1) = -5 . . possible equivalent
Now, we can go back and check the other terms in the candidate expressions we have identified.
1. (-16x² +10x -3) +(4x² -29x -2) = (-16+4)x² +(10-29)x -5 = -12x² -19x -5 . . . OK
4. (2x² -11x -9) -(14x² +8x -4) = (2-14)x² +(-11-8)x -5 = -12x² -19x -5 . . . OK
6. 2(x -1) -3(4x² +7x +1) = -12x² +(2 -3·7)x -5 = -12x² -19x -5 . . . OK
All three of the "possible equivalent" expressions we identified on the first pass are fully equivalent to the target expression. These are your answer choices.
Answer:
Step-by-step explanation:
See attachment for the figure
Volume of pyramid can be defined as
V = 1/3 x area of the base x height.
-> Pyramid A:
Volume of Pyramid can be determined by:
V = 1/3 x (2.6cm)² x (2cm) = 4.5067 cm³
Pyramid B:
Volume of Pyramid can be determined by:
V = 1/3 x (2cm)² x (2.5cm) = 3.3333 cm³
Difference b/w two oblique pyramids: 4.5067 cm³ - 3.333 cm³ = 1.17 cm³
By Rounding the volumes to the nearest tenth of a centimeter
1.17cm³ ≈ 1.2cm³
Therefore, the difference of the volumes of the two oblique pyramids is 1.2cm³
If dimensions are multiplied by 3 then area is multiplied by 3^2
Answer:
66 girls
Step-by-step explanation:
Givens:
●120% boys of girls
▪︎1.2 × g
☆when g is the number of girls
●80 boys
▪︎meaning you can set up a proportion
Solving:
g × 1.2 = 80
g=80/1.2
g=66.66
So, since you can't go over percent, the answer is 66.
Checking:
g × 1.2 = 80
66 × 1.2 = 80
80=80✅
You do not have enough information to solve the problem:
The charge was $6.50 without the tip. You need to know the rate that the taxicab charges in order to solve this problem.
For example if the taxicab charged $1.30 per mile then the answer would be $6.50/$1.30 per mile = 5 miles
