Answer:
12 Bus Tickets
Step-by-step explanation:
18 / 4.50 = 4 x 3 Bus tickets = 12 Tickets
Isoceleese means then that 2 sides are equal
right triangle so the legs are equal
a^2+b^2=c^2
the legs aer a and b
in isocoleese, a=b
a^2+a^2=c^2
2a^2=c^2
if isocoleese=a then c=?
solve for c
sqrt both sides
a√2=c
if the legs are x feet, then the hyppotonuse is x√2 feet
x^2+6x-5=0
x^2=2x
2x+6x-5=0
2x+6x=8x
8x-5=0
+5 +5
(if you don’t know what I’m doing here is that I’m removing the negative 5 by putting a positive 5 since both of them make 0. Also the “x” always stay alone and the unit stays as the unit)
(I putted the positive under the 0 because what u do to the unit you need to do the same thing with the other.)
8x/8=5/8
(If ur lost here it means dividing.)
The answer
X=0.625
(btw I’m not really sure if this is right so um don’t really trust me in this lol)
No nickles = 2x and that of dimes = 7x so 2x = 350 get x and the no of dimes
so like 2x = 350 divide by 2 on both sides so x = 175 ... and no of dimes = 7*x = 7*175 = 1225
Hope it helps :)
Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2
+41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2
+ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2
+41x+28 as (15x^2
+20x)+(21x+28).
(15x^2
+20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
