A because 9 divided by 15 equals 0.6. Then I multiply 0.6 times 6 which equals 3.6. I didn’t 9 divided by 15 because they are congruent.
Answer:
Step-by-step explanation:
We need a series of equations to be able to sub back and forth into one another in order to get this down to one variable, s for spectators. This is what we know from the info (in algebraic expression/equation form):
.6s = men (60% of the spectators are men)
.4s = women + children (40% of the spectators are women and children)
# of children = 2/3 women
# of men = women + 252 (There are 252 more men than women) and
# women = men - 252
Those are the equations we need to solve for the number of spectators.
Start at the top with
.6s = men. We know that the number of men = women + 252, so
.6s = women + 252.
.4s = women + children. We know that the number of children is 2/3 the number of women, so
.4s = women + 2/3 women. If the number of men = women + 252, then
.4s = men - 252 + 2/3(men - 252) which simplifies to
.4s = 3/3 men - 252 + 2/3 men - 168 and
.4s = 5/3 men - 420 and
.4s = s - 420 and
-.6s = -420 so
s = 700
Answer:
D. 3 quarters and 17 dimes
Step-by-step explanation:
1 quarter = $0.25
1 dime = $0.10
0.25 × 3 = $0.75
0.10 × 17 = $1.70
1.70 + 0.75 = $2.45
0.25(3) + 0.10(17) = $2.45
Hope this helps!!
Answer:
Step-by-step explanation:
(x-5)(x^2-2x-6)
x(x^2-2x-6)-5(x^2-2x-6)
x^3-2x^2-6x-5x^2+10x+30
Collect like terms
x^3-7x^2+4x+30
The second option is correct
2. (4a+5)^2=16a^2+Ba+25
Simplifying
(4a+5)^2=16a^2+Ba+25
(4a+5)(4a+5)=16a^2+Ba+25
4a(4a+5)+5(4a+5)=16a^2+Ba+25
16a^2+20a+20a+25=16a^2+Ba+25
16a^2+40a+25=16a^2+Ba+25
Comparing coefficient if a
Then 40a=Ba
Then B=40.
3. -5x^4(-3x^2+4x-2)
Simplifying and putting in mind that
-×-=+
-×+=-
Then, a^m×a^n=a^(a+b). Indices
15x^(4+2)-20x^(4+1)+10x^4
15x^6-20x^5+10x^4
The first option is the correct option.
4. 6xy^3z.3x^2yx^2
Using indices
a^m×a^n=a^(a+b)
(6×3)x^(1+2+2)y^(3+1)z
(18)x^(5)y^(4)z
18x^5y^4z
The second option is the correct option
